WEBVTT

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[SQUEAKING]

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[RUSTLING]

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[CLICKING]

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PROFESSOR: Before
diving into this,

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I'd like to remind
you of what we

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talked about earlier in the
course, which is switching loss.

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If I took-- for
example, let me just

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take my friendly neighborhood
buck converter here.

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so I have V IN.

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And I might have a switch.

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And maybe I have a diode.

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And I'll think of
these as ideal.

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And actually, perhaps
let me just leave

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myself a little more room here.

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I'll have a diode.

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And maybe for the moment,
I'll think of this as this ID,

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this almost constant
current into the output

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that I'm controlling
by PW-ing my converter.

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And we can say, OK, well,
I'm interested in the losses

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in the switch and the diode.

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Let's focus on the switch here.

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So I might have
some switch voltage

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that I'll call the switch.

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And I might have some switch
current that I'll call I switch.

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And I might say, well,
when my switch is on,

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I have I switch squared
R on for the switch.

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And that's how I figure out my
conduction loss on my switch.

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We also said you have to
worry about switching losses

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in the device.

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And we might approximate
switching loss this way.

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We might say, OK,
let me just focus in

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on the tiny part
of the time cycle

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when I'm, say, turning
this device on and off

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and turning this
device on and off.

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I'm switching between
the two devices.

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In an ideal world,
that happens instantly,

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but in the real
world, it doesn't.

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And it can take, depending upon
my switching frequency, maybe

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a percent of the cycle
or something like that.

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OK.

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So let's just think.

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What happens when I
turn this switch off?

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Suppose this switch
is carrying ID.

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I would like to turn him off.

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I can worry about what does
v switch do and I switch do.

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And if I just thought
of this switch

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as an ideal current
source ramping

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from carrying high
current down to zero,

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maybe that would do
something like this.

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So here's I switch.

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And at some point, it's going
to fall from high current

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down to zero.

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Now the question is,
does the switch voltage

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rise before or after the
switch current falls?

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And to the extent that we can
think of this diode as being

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ideal, the diode cannot carry
any current until the diode has

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zero volts on them.

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He's not going to
carry any current

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till he has zero volts on him.

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That means that the switch
voltage must go up to V IN

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before this diode can
start picking up current.

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So I might expect then
that the switch voltage,

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if I'm going to have my
switching start here,

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the switch voltage has to rise
from 0 to V IN at which point

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the current in the
switch can start falling.

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OK.

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So I'm going to have some
switching transition.

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And I'm approximating these
transitions as linear.

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What do they actually look like?

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That depends upon the device,
and the device driver,

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and a lot of other things.

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But approximating those linear
is often not a bad idea.

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And I might say that this
time period takes some,

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say, time t fall.

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And in fact, if you
look in datasheets,

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you can find
expressions for t fall

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under some nominal
drive conditions.

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It'll give you some
approximate notion

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of how long that will take.

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But we can control it
by the driver we choose

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and other things.

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OK.

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But here's the point.

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During this time period,
the switching transition

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when the voltage on
the switch is rising

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and the current on
the switch is falling,

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I have a big overlap in voltage
and current on that switch.

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So right.

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So if I looked at the
power in the switch,

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the power dissipated
in the switch,

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yeah I had some i
squared R going on here.

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It wasn't 0 but it
was pretty darn small.

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Here I may have, if this
is 100 volts and 100 amps,

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maybe that's like 5
kilowatts peak dissipation.

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It's 5 kilowatts for a
very short period of time

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that just goes--

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actually, I haven't
drawn that very well--

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that just goes
over this duration.

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But I get a big pulse
of power in the switch.

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And this is taking place over
a very short time period,

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Maybe if I was
switching a megahertz,

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it would be a
microsecond period.

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And maybe this takes
10 nanoseconds.

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So maybe that's a
percent of the cycle.

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But on the other hand, this is a
pretty big instantaneous power.

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So I actually have to
care about figuring out

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that power dissipation.

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If I waited for the
other transition--

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this is when I went from
the switch conducting.

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The switch turns off
and the diode turns on.

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If I waited in the
other direction, I said,

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what is the switch loss?

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What's going to happen here?

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The opposite.

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Before the switch can
pick up any current

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or for the switch
to pick up current,

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as long as the diode is
carrying any current,

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the switch voltage
has to stay high.

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And so the switch
current will come up

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before the switch
voltage collapses.

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And if I looked at
the other transition,

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I would see something like this.

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Later at the other
end of the cycle,

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I would see something like
the switch current rises

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and then, after the
switch current rises,

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the switch voltage can fall.

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And I might call this
time period t rise.

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And again, I will get
a big power pulsation

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during that time period.

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And then if I use
this simplified model,

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what I'd get is a switching
loss that was equal to V IN,

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because that's the peak
voltage, times I d, that's

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the peak current, times tr plus
tf over to times the switching

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frequency.

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This is the area under
each of these times tr.

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And I'd get this total
power dissipation.

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Any questions about that?

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So I care about this
because, you know,

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we're motivated to
turn up our switching

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frequency until it hurts.

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If I have a low
switching frequency,

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I have big components, I want
my components to be small

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so I'm going to keep turning
up my switching frequency until

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something tells me
that I shouldn't.

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And here you have it.

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You get
frequency-dependent losses.

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And one of those losses is
the switching frequency.

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This is proportional to how
many times a second I switch.

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And we can control that to
some extent by making t fall

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and t rise short but that
also has EMI implications

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so we can't do that arbitrarily.

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So we're stuck with some
amount of switching loss.

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And I'm going to pick my
switching frequency in part

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to balance the switching loss
against the conduction loss

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or get my total loss down.

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And this is a good
way to proceed.

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You figure out some
balance between the size

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of the device you're
going to use this r on,

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how fast you can switch it,
and get some total loss.

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We also did, however, talk
about how might I slow up

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these kind of transitions.

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We said sometimes
those transitions

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can cause a lot of EMI.

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And one of the tricks that
we showed earlier in the term

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was we said, OK, well,
I could come in here.

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And if I put, essentially,
a circuit that

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looked like it did
something like this,

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I'll put a capacitor
across the device, ideally.

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But what I will do
is I will make it

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so that instead of putting it
directly across the device,

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I'll do it so that in
the forward direction,

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it looks directly
across the device

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and, in the reverse direction,
I have a resistor here.

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If I did that,
what that would do

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is when I turn the
transistor off,

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I have another path for
current to go through

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and I can charge the--

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I can charge up this
capacitance so voltage doesn't

00:09:18.480 --> 00:09:20.790 align:middle line:90%
need to rise so quickly.

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So if I do this, if I put
this kind of circuit in,

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I can delay the voltage
rise in the device.

00:09:31.034 --> 00:09:33.220 align:middle line:90%
It might do something like this.

00:09:33.220 --> 00:09:36.390 align:middle line:90%
So I kind of push this out here.

00:09:36.390 --> 00:09:38.830 align:middle line:90%
And I reduce the VI overlap.

00:09:38.830 --> 00:09:43.500 align:middle line:84%
And I also, instead of a
fast rise, I get a slow rise.

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And that works.

00:09:47.730 --> 00:09:51.120 align:middle line:84%
And it does reduce
the loss of turn off.

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That's very nice.

00:09:52.740 --> 00:09:56.010 align:middle line:84%
The penalty I pay is I
put a bunch of energy

00:09:56.010 --> 00:09:58.280 align:middle line:90%
in this capacitor.

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And when I go to turn
the switch back on,

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that energy ultimately gets
dumped into this resistor.

00:10:04.530 --> 00:10:07.010 align:middle line:84%
And in practice,
typically, I make

00:10:07.010 --> 00:10:09.650 align:middle line:84%
the efficiency of the
converter worse, not better.

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I've reduced the
loss in the device,

00:10:13.370 --> 00:10:17.240 align:middle line:84%
but I've more than offset
that with loss in the resistor

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I get here.

00:10:19.340 --> 00:10:20.640 align:middle line:90%
OK.

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I could do, if I had a
device that needed it,

00:10:23.340 --> 00:10:26.490 align:middle line:84%
I could do the same kind
of thing at turn on.

00:10:26.490 --> 00:10:29.790 align:middle line:84%
I could come in here
and I could say, OK,

00:10:29.790 --> 00:10:33.030 align:middle line:84%
let me add an inductor
here, and then I

00:10:33.030 --> 00:10:37.440 align:middle line:90%
will add a resistor and a diode.

00:10:37.440 --> 00:10:44.010 align:middle line:84%
So when I go to turn the device
on, this will hold the voltage

00:10:44.010 --> 00:10:47.730 align:middle line:84%
and keep the current from
rising very quickly so instead

00:10:47.730 --> 00:10:50.670 align:middle line:84%
of the current rising like
this, the current rising

00:10:50.670 --> 00:10:51.545 align:middle line:90%
might do this.

00:10:51.545 --> 00:10:54.460 align:middle line:90%


00:10:54.460 --> 00:10:57.070 align:middle line:84%
And I will again
reduce the overlap

00:10:57.070 --> 00:11:00.130 align:middle line:84%
between the voltage and current
by delaying the current rise.

00:11:00.130 --> 00:11:03.060 align:middle line:84%
But I store a bunch of
energy in this inductor.

00:11:03.060 --> 00:11:04.990 align:middle line:84%
When I go to turn
the switch off,

00:11:04.990 --> 00:11:06.880 align:middle line:84%
that current will
circulate in here

00:11:06.880 --> 00:11:08.590 align:middle line:90%
and dissipate in the resistor.

00:11:08.590 --> 00:11:13.270 align:middle line:84%
So again, I have reduced
the overlap at the switching

00:11:13.270 --> 00:11:16.030 align:middle line:84%
transition, but I
have lost energy

00:11:16.030 --> 00:11:17.740 align:middle line:90%
in the process on balance.

00:11:17.740 --> 00:11:19.750 align:middle line:84%
But I might want to
do it for reasons

00:11:19.750 --> 00:11:25.100 align:middle line:84%
of changing, say, the di/dt
or the dv/dt's over here.

00:11:25.100 --> 00:11:27.210 align:middle line:84%
So that's all a little
bit of a review.

00:11:27.210 --> 00:11:30.880 align:middle line:90%
Any questions about that?

00:11:30.880 --> 00:11:31.510 align:middle line:90%
STUDENT: Yeah.

00:11:31.510 --> 00:11:35.890 align:middle line:84%
Are we expected to look into
snubbers for the project?

00:11:35.890 --> 00:11:37.990 align:middle line:84%
PROFESSOR: That's a
very good question.

00:11:37.990 --> 00:11:40.117 align:middle line:90%
So, no.

00:11:40.117 --> 00:11:40.617 align:middle line:90%
Right?

00:11:40.617 --> 00:11:42.110 align:middle line:90%
Why?

00:11:42.110 --> 00:11:44.170 align:middle line:84%
Because the devices
that you're using,

00:11:44.170 --> 00:11:46.390 align:middle line:84%
MOSFETs and Schottky
diodes, tend

00:11:46.390 --> 00:11:49.300 align:middle line:84%
not to be very
susceptible to failure

00:11:49.300 --> 00:11:54.130 align:middle line:84%
of having a safe operating
area limitation or a dv/dt

00:11:54.130 --> 00:11:56.920 align:middle line:84%
or a di/dt limit
in their operation.

00:11:56.920 --> 00:12:02.920 align:middle line:84%
If I were working with giant
gate turn off thyristors,

00:12:02.920 --> 00:12:04.810 align:middle line:84%
then that would be
a different story.

00:12:04.810 --> 00:12:06.770 align:middle line:84%
And I would have to
put snubbers on them.

00:12:06.770 --> 00:12:08.860 align:middle line:84%
But for the kind of
converter you're designing

00:12:08.860 --> 00:12:11.200 align:middle line:84%
and the design project,
pretty much you

00:12:11.200 --> 00:12:12.640 align:middle line:90%
can get away without snubbers.

00:12:12.640 --> 00:12:16.180 align:middle line:84%
In the real world, if you were
to build one, you might build it

00:12:16.180 --> 00:12:19.300 align:middle line:84%
and then say, oh, I'm getting
a little bit too much EMI

00:12:19.300 --> 00:12:21.820 align:middle line:84%
and I associate that with
the slew rate of the voltage,

00:12:21.820 --> 00:12:22.880 align:middle line:90%
for example.

00:12:22.880 --> 00:12:25.000 align:middle line:84%
And then I might go in,
throw in a small snubber

00:12:25.000 --> 00:12:27.050 align:middle line:84%
to slow down the
voltage transition.

00:12:27.050 --> 00:12:31.190 align:middle line:84%
So sometimes people
will leave provision

00:12:31.190 --> 00:12:33.407 align:middle line:84%
to put a snubber in if
they need it in practice,

00:12:33.407 --> 00:12:35.240 align:middle line:84%
but it's not something
you would necessarily

00:12:35.240 --> 00:12:38.600 align:middle line:84%
have to design upfront
unless the types of devices

00:12:38.600 --> 00:12:41.220 align:middle line:90%
you were using required it.

00:12:41.220 --> 00:12:44.600 align:middle line:84%
And that would be typically
very high power devices

00:12:44.600 --> 00:12:47.690 align:middle line:84%
that are a bit more fragile
for MOSFETs and Schottky

00:12:47.690 --> 00:12:48.860 align:middle line:90%
diodes and stuff.

00:12:48.860 --> 00:12:51.080 align:middle line:84%
Typically, you don't
have to worry about it.

00:12:51.080 --> 00:12:53.690 align:middle line:90%
Excellent question.

00:12:53.690 --> 00:12:54.320 align:middle line:90%
OK.

00:12:54.320 --> 00:12:57.080 align:middle line:84%
So that brings me to the topic
I wanted to tell you about today

00:12:57.080 --> 00:13:01.920 align:middle line:84%
and I only really wanted to
give you a flavor of today.

00:13:01.920 --> 00:13:05.700 align:middle line:84%
But I want to give you a
notion of how this works.

00:13:05.700 --> 00:13:07.630 align:middle line:90%
This kind of poses a question.

00:13:07.630 --> 00:13:10.290 align:middle line:84%
I said putting the
inductor and the capacitor

00:13:10.290 --> 00:13:14.490 align:middle line:84%
in parallel with the device
here does reduce the overlap,

00:13:14.490 --> 00:13:15.960 align:middle line:90%
but I burn a bunch of energy.

00:13:15.960 --> 00:13:18.540 align:middle line:84%
And likewise, putting
the inductor in series

00:13:18.540 --> 00:13:22.510 align:middle line:84%
reduces the overlap, but
I burn a bunch of energy.

00:13:22.510 --> 00:13:26.230 align:middle line:84%
Could I do that without
burning a bunch of energy?

00:13:26.230 --> 00:13:30.300 align:middle line:84%
Could I somehow get
that energy back?

00:13:30.300 --> 00:13:33.130 align:middle line:84%
And what would be
the benefit of that?

00:13:33.130 --> 00:13:37.650 align:middle line:84%
This loss, if I only
thought about the overlaps,

00:13:37.650 --> 00:13:40.600 align:middle line:84%
this loss would be
greatly reduced.

00:13:40.600 --> 00:13:43.620 align:middle line:84%
And that would either let
me, A, get rid of that loss

00:13:43.620 --> 00:13:46.050 align:middle line:84%
and get a very high
efficiency converter,

00:13:46.050 --> 00:13:49.470 align:middle line:84%
or, B, crank up the
switching frequency

00:13:49.470 --> 00:13:53.723 align:middle line:84%
and make my component smaller
or some combination thereof.

00:13:53.723 --> 00:13:55.140 align:middle line:84%
As you make things
smaller, it has

00:13:55.140 --> 00:13:58.450 align:middle line:84%
to get more efficient in order
to meet thermal requirements.

00:13:58.450 --> 00:14:01.380 align:middle line:84%
But nonetheless,
what that would do

00:14:01.380 --> 00:14:06.540 align:middle line:84%
is let me either get to higher
efficiencies or higher switching

00:14:06.540 --> 00:14:07.600 align:middle line:90%
frequencies.

00:14:07.600 --> 00:14:09.224 align:middle line:90%
OK.

00:14:09.224 --> 00:14:10.990 align:middle line:90%
And people do this.

00:14:10.990 --> 00:14:14.580 align:middle line:84%
They come up with
circuits, either changes

00:14:14.580 --> 00:14:17.910 align:middle line:84%
in the circuit design or
changes in the control,

00:14:17.910 --> 00:14:24.240 align:middle line:84%
that will let people get this
so-called soft switching.

00:14:24.240 --> 00:14:28.360 align:middle line:84%
This pink and yellow transition
we would consider hard-switched.

00:14:28.360 --> 00:14:30.880 align:middle line:84%
A soft switch transition
is one in which

00:14:30.880 --> 00:14:33.910 align:middle line:84%
you reduce the voltage and
current overlap at the switching

00:14:33.910 --> 00:14:37.900 align:middle line:84%
transition and get much
lower switching loss.

00:14:37.900 --> 00:14:42.220 align:middle line:84%
Now I say that many, many very
high performance converters

00:14:42.220 --> 00:14:42.860 align:middle line:90%
do this.

00:14:42.860 --> 00:14:45.970 align:middle line:84%
This is a very common thing
at the high performance

00:14:45.970 --> 00:14:46.820 align:middle line:90%
end of the spectrum.

00:14:46.820 --> 00:14:49.990 align:middle line:84%
In fact, if you looked at
the power converter that's

00:14:49.990 --> 00:14:53.200 align:middle line:84%
in this little miniaturized
laptop adapter, which

00:14:53.200 --> 00:14:56.710 align:middle line:84%
is, A, very small,
and, B, exceeds

00:14:56.710 --> 00:14:59.320 align:middle line:84%
95% end to end
efficiency so they

00:14:59.320 --> 00:15:01.090 align:middle line:84%
can make it small
without it getting hot,

00:15:01.090 --> 00:15:05.050 align:middle line:84%
that design uses soft
switching techniques

00:15:05.050 --> 00:15:09.040 align:middle line:84%
and turns up the
frequency to make it small

00:15:09.040 --> 00:15:12.500 align:middle line:84%
and uses part of that
benefit to make it efficient.

00:15:12.500 --> 00:15:15.005 align:middle line:90%


00:15:15.005 --> 00:15:17.550 align:middle line:84%
So what I want to do
is show you the kind

00:15:17.550 --> 00:15:20.430 align:middle line:84%
of category of techniques
that you might use there.

00:15:20.430 --> 00:15:22.800 align:middle line:84%
I will say, though, that
while this is very, very

00:15:22.800 --> 00:15:25.860 align:middle line:84%
common in the high performance
end of the spectrum,

00:15:25.860 --> 00:15:28.410 align:middle line:84%
where you're trying for great
miniaturization or really

00:15:28.410 --> 00:15:31.710 align:middle line:84%
fast response, something like
that, perhaps the majority

00:15:31.710 --> 00:15:35.020 align:middle line:84%
of power converters designed
in the world don't do this.

00:15:35.020 --> 00:15:37.720 align:middle line:90%
They just get an optimum.

00:15:37.720 --> 00:15:38.220 align:middle line:90%
They live.

00:15:38.220 --> 00:15:42.090 align:middle line:84%
They try to get good devices,
live with the switching loss,

00:15:42.090 --> 00:15:43.570 align:middle line:90%
make the design trade-offs.

00:15:43.570 --> 00:15:46.860 align:middle line:84%
All the stuff I showed
you so far in the term

00:15:46.860 --> 00:15:50.940 align:middle line:84%
is the majority of things,
that's the way they're designed.

00:15:50.940 --> 00:15:53.520 align:middle line:84%
Nonetheless, when you're really
trying to push the boundaries

00:15:53.520 --> 00:15:55.230 align:middle line:84%
or, for whatever
reason, you want

00:15:55.230 --> 00:15:58.350 align:middle line:84%
to go to very high
frequencies, suddenly you

00:15:58.350 --> 00:16:00.700 align:middle line:84%
have to use these other
kinds of techniques.

00:16:00.700 --> 00:16:01.200 align:middle line:90%
OK.

00:16:01.200 --> 00:16:02.345 align:middle line:90%
Any questions about that?

00:16:02.345 --> 00:16:04.910 align:middle line:90%


00:16:04.910 --> 00:16:06.140 align:middle line:90%
OK.

00:16:06.140 --> 00:16:08.810 align:middle line:84%
So let's think
about what we might

00:16:08.810 --> 00:16:12.806 align:middle line:84%
do to build so-called
soft switch converters.

00:16:12.806 --> 00:16:19.930 align:middle line:90%


00:16:19.930 --> 00:16:22.070 align:middle line:90%
And how soft is soft?

00:16:22.070 --> 00:16:25.670 align:middle line:84%
Well, there's all
degrees of softness.

00:16:25.670 --> 00:16:27.580 align:middle line:90%
But we'll talk about it.

00:16:27.580 --> 00:16:29.860 align:middle line:90%
Now there's two flavors.

00:16:29.860 --> 00:16:35.650 align:middle line:84%
There's one that I'll call zero
voltage switching, ZVS, and one

00:16:35.650 --> 00:16:39.280 align:middle line:84%
that I'll call zero
current switching, ZCS.

00:16:39.280 --> 00:16:43.120 align:middle line:84%
So you'll see these
acronyms used everywhere.

00:16:43.120 --> 00:16:47.020 align:middle line:84%
And essentially, I'll
describe what they mean.

00:16:47.020 --> 00:16:51.940 align:middle line:84%
You also have any-- if I
think about a given switch,

00:16:51.940 --> 00:16:54.610 align:middle line:84%
like here I'll think about
the active switch here,

00:16:54.610 --> 00:16:56.090 align:middle line:90%
he has two transitions.

00:16:56.090 --> 00:16:58.790 align:middle line:84%
He has a turn on transition
and a turn off transition.

00:16:58.790 --> 00:17:02.020 align:middle line:84%
I got to think about both of
those because both of those

00:17:02.020 --> 00:17:03.910 align:middle line:90%
give me some loss.

00:17:03.910 --> 00:17:06.295 align:middle line:90%
So I might think about turn off.

00:17:06.295 --> 00:17:11.560 align:middle line:90%


00:17:11.560 --> 00:17:15.339 align:middle line:90%
And I might think about turn on.

00:17:15.339 --> 00:17:15.970 align:middle line:90%
OK.

00:17:15.970 --> 00:17:20.000 align:middle line:84%
So let's think about
these four possibilities.

00:17:20.000 --> 00:17:21.710 align:middle line:90%
OK.

00:17:21.710 --> 00:17:24.230 align:middle line:90%
What is ZVS turn on?

00:17:24.230 --> 00:17:28.670 align:middle line:84%
ZVS turn off, if I thought
about, say, the turn off

00:17:28.670 --> 00:17:34.670 align:middle line:84%
I had here, I had something
where the current was

00:17:34.670 --> 00:17:40.730 align:middle line:90%
falling like this at turn off.

00:17:40.730 --> 00:17:45.410 align:middle line:84%
And under a hard
switch transition--

00:17:45.410 --> 00:17:48.170 align:middle line:90%
so this is I switch.

00:17:48.170 --> 00:17:50.870 align:middle line:84%
Under a hard switch
transition, we expect kind of V

00:17:50.870 --> 00:17:56.330 align:middle line:84%
switch to rise before the
current falls like this.

00:17:56.330 --> 00:17:58.740 align:middle line:84%
And that would be a
hard switch transition.

00:17:58.740 --> 00:18:01.430 align:middle line:84%
What we do in a
zero voltage turn

00:18:01.430 --> 00:18:08.220 align:middle line:84%
off is we typically
do something to delay

00:18:08.220 --> 00:18:10.560 align:middle line:90%
the voltage rise on the switch.

00:18:10.560 --> 00:18:13.830 align:middle line:84%
Maybe it does
something like that.

00:18:13.830 --> 00:18:16.035 align:middle line:84%
Well, that ought to look
pretty familiar to you.

00:18:16.035 --> 00:18:16.680 align:middle line:90%
Right?

00:18:16.680 --> 00:18:19.590 align:middle line:84%
That's what the
snubber did over here.

00:18:19.590 --> 00:18:26.070 align:middle line:84%
So I might get this
kind of behavior

00:18:26.070 --> 00:18:29.630 align:middle line:84%
by taking my switch
that I'm going

00:18:29.630 --> 00:18:34.370 align:middle line:84%
to try to turn off and just
put a capacitor across them.

00:18:34.370 --> 00:18:38.510 align:middle line:84%
And so if I put an external
capacitor across the switch,

00:18:38.510 --> 00:18:40.940 align:middle line:84%
when it turns off, it'll
delay the rise of the switch

00:18:40.940 --> 00:18:42.920 align:middle line:90%
and I'll reduce the overlap.

00:18:42.920 --> 00:18:46.550 align:middle line:84%
So it's no different than
what the snubber does, but now

00:18:46.550 --> 00:18:49.040 align:middle line:84%
that I've put energy
in this capacitor,

00:18:49.040 --> 00:18:51.470 align:middle line:84%
we've got to figure out a
way to get that energy back

00:18:51.470 --> 00:18:53.080 align:middle line:90%
without dissipating it.

00:18:53.080 --> 00:18:55.220 align:middle line:84%
So I can't just
turn on the switch

00:18:55.220 --> 00:18:58.000 align:middle line:84%
because I dumped that
energy and lose it.

00:18:58.000 --> 00:19:00.620 align:middle line:90%
OK.

00:19:00.620 --> 00:19:07.310 align:middle line:90%
What about zero voltage turn on?

00:19:07.310 --> 00:19:07.810 align:middle line:90%
OK.

00:19:07.810 --> 00:19:09.560 align:middle line:84%
What would zero voltage
turn on look like?

00:19:09.560 --> 00:19:14.410 align:middle line:84%
Well, we said, OK, what
we expect normally at turn

00:19:14.410 --> 00:19:18.910 align:middle line:84%
on is the current in the
switch is going to rise

00:19:18.910 --> 00:19:21.361 align:middle line:90%
at the turn on transition.

00:19:21.361 --> 00:19:21.861 align:middle line:90%
Right.

00:19:21.861 --> 00:19:24.807 align:middle line:90%


00:19:24.807 --> 00:19:31.030 align:middle line:84%
And usually, after
the current rises--

00:19:31.030 --> 00:19:33.400 align:middle line:90%
here's the switch voltage--

00:19:33.400 --> 00:19:35.240 align:middle line:90%
the switch voltage falls.

00:19:35.240 --> 00:19:39.050 align:middle line:84%
So that's what I would get and
I'd have this overlap period.

00:19:39.050 --> 00:19:43.990 align:middle line:84%
Well, what if I could be somehow
super clever in my circuit

00:19:43.990 --> 00:19:47.170 align:middle line:84%
through magical
means and just happen

00:19:47.170 --> 00:19:49.660 align:middle line:84%
to work it so that
instead of the voltage

00:19:49.660 --> 00:19:51.970 align:middle line:84%
falling because I'm
turning the switch on,

00:19:51.970 --> 00:19:54.700 align:middle line:84%
I do something
else in the circuit

00:19:54.700 --> 00:19:57.160 align:middle line:84%
to make the voltage
go to zero before I

00:19:57.160 --> 00:19:58.750 align:middle line:90%
try to turn the switch on?

00:19:58.750 --> 00:20:05.240 align:middle line:84%
Maybe I have a circuit where
somehow through natural action

00:20:05.240 --> 00:20:06.950 align:middle line:84%
of the circuit, the
voltage goes to zero

00:20:06.950 --> 00:20:09.408 align:middle line:84%
and then I can turn the switch
on with no voltage across it

00:20:09.408 --> 00:20:11.690 align:middle line:90%
and then I get no overlap?

00:20:11.690 --> 00:20:16.190 align:middle line:84%
So zero voltage switching,
either on or off,

00:20:16.190 --> 00:20:20.180 align:middle line:84%
is arranging the
switching operation such

00:20:20.180 --> 00:20:24.740 align:middle line:84%
that I move the voltage
around in a way that gives me

00:20:24.740 --> 00:20:29.800 align:middle line:84%
little overlap between voltage
and current at the transition.

00:20:29.800 --> 00:20:32.020 align:middle line:84%
And we'll talk about
how you might do that,

00:20:32.020 --> 00:20:33.230 align:middle line:90%
but that's the idea.

00:20:33.230 --> 00:20:34.250 align:middle line:90%
Any questions?

00:20:34.250 --> 00:20:37.830 align:middle line:90%


00:20:37.830 --> 00:20:45.110 align:middle line:84%
So what would a zero
current turn on look like?

00:20:45.110 --> 00:20:51.920 align:middle line:84%
Well, we said, OK,
for turn on, usually,

00:20:51.920 --> 00:20:54.980 align:middle line:84%
what happens is I
have my switch current

00:20:54.980 --> 00:20:58.460 align:middle line:84%
and he's rising because this
is turn on so here's I switch.

00:20:58.460 --> 00:21:00.020 align:middle line:84%
The current is going
to go from zero

00:21:00.020 --> 00:21:00.830 align:middle line:84%
and then I'm going
to turn him on.

00:21:00.830 --> 00:21:02.180 align:middle line:90%
It's going to be something.

00:21:02.180 --> 00:21:11.090 align:middle line:84%
And normally, what
happens is the voltage

00:21:11.090 --> 00:21:14.523 align:middle line:90%
falls after the current rises.

00:21:14.523 --> 00:21:17.220 align:middle line:90%


00:21:17.220 --> 00:21:19.625 align:middle line:90%
Right?

00:21:19.625 --> 00:21:25.680 align:middle line:90%
So what if I could--

00:21:25.680 --> 00:21:27.290 align:middle line:90%
what if I could do this?

00:21:27.290 --> 00:21:32.048 align:middle line:90%


00:21:32.048 --> 00:21:32.715 align:middle line:90%
What am I doing?

00:21:32.715 --> 00:21:40.020 align:middle line:90%


00:21:40.020 --> 00:21:42.040 align:middle line:90%
What if I could do this?

00:21:42.040 --> 00:21:46.080 align:middle line:84%
What if I could say, all right,
instead of having the switch

00:21:46.080 --> 00:21:51.290 align:middle line:84%
current rise early, I
did some magic game such

00:21:51.290 --> 00:21:53.545 align:middle line:90%
that he didn't rise until later?

00:21:53.545 --> 00:21:56.830 align:middle line:90%


00:21:56.830 --> 00:22:00.010 align:middle line:84%
I somehow delay the
switch current rise

00:22:00.010 --> 00:22:02.160 align:middle line:84%
until after the
voltage has fallen.

00:22:02.160 --> 00:22:05.110 align:middle line:90%


00:22:05.110 --> 00:22:09.780 align:middle line:84%
I would then have little
overlap and that would be good.

00:22:09.780 --> 00:22:12.540 align:middle line:84%
Well, this is very
similar to the notion

00:22:12.540 --> 00:22:16.290 align:middle line:84%
of if I had my switch,
you know, maybe I

00:22:16.290 --> 00:22:21.670 align:middle line:84%
could go put an inductor
in series with the switch.

00:22:21.670 --> 00:22:24.690 align:middle line:84%
So even after I
turn the switch on,

00:22:24.690 --> 00:22:28.350 align:middle line:84%
the voltage doesn't
appear across the switch.

00:22:28.350 --> 00:22:30.630 align:middle line:90%
It could-- this is v switch.

00:22:30.630 --> 00:22:32.460 align:middle line:84%
It could appear
across this inductor.

00:22:32.460 --> 00:22:35.105 align:middle line:84%
And the current in the inductor
will be delayed in its rise.

00:22:35.105 --> 00:22:39.330 align:middle line:84%
So in some sense,
this snubber helps

00:22:39.330 --> 00:22:41.280 align:middle line:84%
give me zero current
turn on except

00:22:41.280 --> 00:22:43.150 align:middle line:90%
that I'm dumping the energy.

00:22:43.150 --> 00:22:46.450 align:middle line:84%
So I can play this same
game except that then I

00:22:46.450 --> 00:22:52.740 align:middle line:84%
got to figure out how to recover
the energy in this inductor.

00:22:52.740 --> 00:22:59.550 align:middle line:84%
And you can see that these
two zero voltage turn off

00:22:59.550 --> 00:23:03.360 align:middle line:84%
and zero current turn on are
kind of duals of one another.

00:23:03.360 --> 00:23:06.690 align:middle line:84%
I'm just swapping voltage
and current waveforms.

00:23:06.690 --> 00:23:11.010 align:middle line:84%
And I'm swapping the role of
the capacitor and zero voltage

00:23:11.010 --> 00:23:14.400 align:middle line:84%
turn off and the inductor
and zero current turn on.

00:23:14.400 --> 00:23:18.690 align:middle line:84%
There are other ways to get
ZVS turn off or ZCS turn on,

00:23:18.690 --> 00:23:22.790 align:middle line:84%
but I'm showing you a
common way to do it.

00:23:22.790 --> 00:23:24.640 align:middle line:90%
What's the last one?

00:23:24.640 --> 00:23:31.100 align:middle line:84%
Well, we said I want to
do zero current turn off.

00:23:31.100 --> 00:23:36.410 align:middle line:84%
And we said what usually happens
is that my switch voltage

00:23:36.410 --> 00:23:46.200 align:middle line:84%
rises and my switch current can
fall only after that happens.

00:23:46.200 --> 00:23:50.970 align:middle line:84%
Well, what if I were
really clever and said,

00:23:50.970 --> 00:23:53.280 align:middle line:90%
OK, here's I switch?

00:23:53.280 --> 00:23:56.040 align:middle line:84%
What if I were really
clever and somehow I

00:23:56.040 --> 00:24:00.570 align:middle line:84%
could make the current go
to zero before the time I

00:24:00.570 --> 00:24:02.553 align:middle line:90%
wanted to turn off?

00:24:02.553 --> 00:24:03.970 align:middle line:84%
If the current
were naturally zero

00:24:03.970 --> 00:24:06.730 align:middle line:84%
when I was going to turn off,
I can turn off the switch

00:24:06.730 --> 00:24:08.450 align:middle line:84%
with no overlap in
voltage and current.

00:24:08.450 --> 00:24:10.190 align:middle line:90%
I'm done.

00:24:10.190 --> 00:24:10.940 align:middle line:90%
All right.

00:24:10.940 --> 00:24:13.460 align:middle line:84%
I've got to come up with
some magical circuit means

00:24:13.460 --> 00:24:14.040 align:middle line:90%
to do this.

00:24:14.040 --> 00:24:16.290 align:middle line:84%
We've kind of got ideas for
how we might do these two.

00:24:16.290 --> 00:24:18.582 align:middle line:84%
We've got to figure out how
we might do these two guys.

00:24:18.582 --> 00:24:20.130 align:middle line:90%
But that's the basic concept.

00:24:20.130 --> 00:24:22.400 align:middle line:84%
I'm either going to
manipulate the voltage

00:24:22.400 --> 00:24:24.897 align:middle line:84%
to make the voltage and
current overlap smaller

00:24:24.897 --> 00:24:26.480 align:middle line:84%
or I'm going to
manipulate the current

00:24:26.480 --> 00:24:29.030 align:middle line:84%
to make the voltage and
current overlap small or both

00:24:29.030 --> 00:24:30.150 align:middle line:90%
for that matter.

00:24:30.150 --> 00:24:35.090 align:middle line:84%
But I'm trying to create this
kind of magical opportunity

00:24:35.090 --> 00:24:38.900 align:middle line:84%
to change my switch
configurations at low loss.

00:24:38.900 --> 00:24:42.940 align:middle line:90%
And that's not for free.

00:24:42.940 --> 00:24:44.820 align:middle line:84%
If I just go to design
a buck converter,

00:24:44.820 --> 00:24:47.790 align:middle line:90%
I don't get that for free.

00:24:47.790 --> 00:24:50.310 align:middle line:84%
But maybe I can do
something more complicated

00:24:50.310 --> 00:24:53.320 align:middle line:90%
that makes that work.

00:24:53.320 --> 00:24:54.820 align:middle line:84%
So does everybody,
first of all, get

00:24:54.820 --> 00:24:56.870 align:middle line:90%
the premise of soft switching?

00:24:56.870 --> 00:24:59.710 align:middle line:90%


00:24:59.710 --> 00:25:01.210 align:middle line:90%
OK.

00:25:01.210 --> 00:25:05.500 align:middle line:84%
Let me show you a few examples
of different ways people

00:25:05.500 --> 00:25:08.070 align:middle line:90%
do this.

00:25:08.070 --> 00:25:11.250 align:middle line:84%
And I'm going to show you
examples in DC to DC converters

00:25:11.250 --> 00:25:11.850 align:middle line:90%
today.

00:25:11.850 --> 00:25:14.340 align:middle line:84%
We'll talk about
more ideas of doing

00:25:14.340 --> 00:25:18.030 align:middle line:84%
soft switching in other kind
of converters next class.

00:25:18.030 --> 00:25:24.190 align:middle line:84%
But here is the first
example I'd like to show you.

00:25:24.190 --> 00:25:27.535 align:middle line:84%
Now this circuit-- and I'm
showing you an actual circuit

00:25:27.535 --> 00:25:30.160 align:middle line:84%
because I wanted to show you the
real circuit and the switching

00:25:30.160 --> 00:25:31.450 align:middle line:90%
waveforms from it--

00:25:31.450 --> 00:25:34.520 align:middle line:84%
is a version of
a buck converter.

00:25:34.520 --> 00:25:36.430 align:middle line:84%
And you could do
this same technique

00:25:36.430 --> 00:25:38.005 align:middle line:90%
in a regular buck converter.

00:25:38.005 --> 00:25:40.630 align:middle line:84%
It's just that this version of
the circuit I'm showing you here

00:25:40.630 --> 00:25:42.370 align:middle line:84%
is what we would
call an inverted buck

00:25:42.370 --> 00:25:44.930 align:middle line:84%
converter or a common
positive buck converter.

00:25:44.930 --> 00:25:48.130 align:middle line:84%
That is, the switch is ground
referenced and the input

00:25:48.130 --> 00:25:50.477 align:middle line:84%
and output share a
common positive terminal

00:25:50.477 --> 00:25:52.060 align:middle line:84%
instead of a common
negative terminal,

00:25:52.060 --> 00:25:53.390 align:middle line:90%
which they normally would.

00:25:53.390 --> 00:25:55.900 align:middle line:84%
But you could see that this
is still a buck converter.

00:25:55.900 --> 00:25:59.560 align:middle line:84%
When the switch is on,
I get V in minus V out

00:25:59.560 --> 00:26:01.000 align:middle line:90%
across the inductor.

00:26:01.000 --> 00:26:03.160 align:middle line:84%
And when the switch is
off, I get minus V out

00:26:03.160 --> 00:26:04.070 align:middle line:90%
across the inductor.

00:26:04.070 --> 00:26:06.220 align:middle line:90%
It is a buck converter.

00:26:06.220 --> 00:26:09.620 align:middle line:84%
But how are we going to
run this buck converter?

00:26:09.620 --> 00:26:11.680 align:middle line:84%
Well, let me tell
you how we're going

00:26:11.680 --> 00:26:12.980 align:middle line:90%
to run this buck converter.

00:26:12.980 --> 00:26:17.110 align:middle line:84%
And the one thing you
can't see in this picture--

00:26:17.110 --> 00:26:18.772 align:middle line:84%
first of all, is
there any question

00:26:18.772 --> 00:26:20.480 align:middle line:84%
as to why this thing
is a buck converter?

00:26:20.480 --> 00:26:23.990 align:middle line:90%


00:26:23.990 --> 00:26:24.590 align:middle line:90%
OK.

00:26:24.590 --> 00:26:26.545 align:middle line:90%
So here's the circuit.

00:26:26.545 --> 00:26:29.330 align:middle line:90%


00:26:29.330 --> 00:26:32.760 align:middle line:90%
And it looks like this.

00:26:32.760 --> 00:26:34.130 align:middle line:90%
So this is my buck--

00:26:34.130 --> 00:26:35.747 align:middle line:90%
this is my basic buck converter.

00:26:35.747 --> 00:26:37.580 align:middle line:84%
If I drew this for you
and put it on an exam

00:26:37.580 --> 00:26:39.788 align:middle line:84%
and say what kind of converter
that is, you'd tell me

00:26:39.788 --> 00:26:42.410 align:middle line:90%
it's a buck converter.

00:26:42.410 --> 00:26:43.530 align:middle line:90%
Missing something here.

00:26:43.530 --> 00:26:44.780 align:middle line:90%
I'm missing my output voltage.

00:26:44.780 --> 00:26:48.580 align:middle line:90%


00:26:48.580 --> 00:26:51.280 align:middle line:90%
So here we go.

00:26:51.280 --> 00:26:55.570 align:middle line:84%
Here's my output capacitor and
my output resistor, for example.

00:26:55.570 --> 00:27:00.910 align:middle line:90%
Here's V out and here's IL.

00:27:00.910 --> 00:27:01.750 align:middle line:90%
OK.

00:27:01.750 --> 00:27:03.430 align:middle line:90%
That's a buck converter.

00:27:03.430 --> 00:27:07.340 align:middle line:90%


00:27:07.340 --> 00:27:09.710 align:middle line:84%
We're going to have
to do some work

00:27:09.710 --> 00:27:13.230 align:middle line:84%
to get soft switching
in this converter.

00:27:13.230 --> 00:27:15.390 align:middle line:84%
But let me tell you the
one thing that's missing

00:27:15.390 --> 00:27:17.040 align:middle line:90%
in the circuit diagram picture.

00:27:17.040 --> 00:27:21.510 align:middle line:84%
And that is that there's
a capacitance here,

00:27:21.510 --> 00:27:26.870 align:middle line:84%
an effective capacitance
here, across the device.

00:27:26.870 --> 00:27:29.340 align:middle line:84%
Where does that
capacitance come from?

00:27:29.340 --> 00:27:33.120 align:middle line:84%
Well, it comes from the
fact that this switch

00:27:33.120 --> 00:27:34.860 align:middle line:90%
has capacitance.

00:27:34.860 --> 00:27:37.320 align:middle line:84%
And so that's in
parallel with the device.

00:27:37.320 --> 00:27:41.200 align:middle line:84%
The diode also has
some capacitance.

00:27:41.200 --> 00:27:44.780 align:middle line:84%
And that's connected between
this node and a fixed potential.

00:27:44.780 --> 00:27:47.080 align:middle line:84%
So from an AC
perspective, it also

00:27:47.080 --> 00:27:49.623 align:middle line:84%
looks like capacitance
sitting here.

00:27:49.623 --> 00:27:51.040 align:middle line:84%
So what we're going
to do is we're

00:27:51.040 --> 00:27:55.240 align:middle line:84%
going to use the net capacitance
at this node to help give us

00:27:55.240 --> 00:27:58.975 align:middle line:90%
zero voltage switching.

00:27:58.975 --> 00:28:02.440 align:middle line:84%
And I'll remind you that a
capacitor across the device

00:28:02.440 --> 00:28:06.140 align:middle line:84%
is just what we need to
get zero voltage turn off.

00:28:06.140 --> 00:28:10.270 align:middle line:84%
So we're going to do this
trick because I've put

00:28:10.270 --> 00:28:11.600 align:middle line:90%
a capacitor across the device.

00:28:11.600 --> 00:28:13.990 align:middle line:84%
So if I see a design with a
capacitor across the device,

00:28:13.990 --> 00:28:16.460 align:middle line:84%
I think, yeah, I'm probably
doing zero voltage switching.

00:28:16.460 --> 00:28:18.940 align:middle line:90%
So how does this thing work?

00:28:18.940 --> 00:28:19.720 align:middle line:90%
OK.

00:28:19.720 --> 00:28:20.920 align:middle line:90%
Well, I'm going to turn--

00:28:20.920 --> 00:28:24.120 align:middle line:90%
let's assume the switch is on.

00:28:24.120 --> 00:28:27.130 align:middle line:84%
I'm in my normal state
when the switch is on.

00:28:27.130 --> 00:28:29.930 align:middle line:84%
The inductor current's
going to rise.

00:28:29.930 --> 00:28:30.665 align:middle line:90%
OK.

00:28:30.665 --> 00:28:32.540 align:middle line:84%
We're going to let the
inductor current rise.

00:28:32.540 --> 00:28:34.748 align:middle line:84%
And we're actually going to
have a large ripple ratio

00:28:34.748 --> 00:28:36.410 align:middle line:90%
in this inductor current.

00:28:36.410 --> 00:28:37.970 align:middle line:84%
And eventually, the
inductor current

00:28:37.970 --> 00:28:39.553 align:middle line:84%
is going to get up
to some level where

00:28:39.553 --> 00:28:41.600 align:middle line:90%
I tell the switch to turn off.

00:28:41.600 --> 00:28:42.100 align:middle line:90%
OK.

00:28:42.100 --> 00:28:53.230 align:middle line:84%
Now what happens when this
inductor current IL is big

00:28:53.230 --> 00:28:54.430 align:middle line:90%
and I turn off?

00:28:54.430 --> 00:28:57.700 align:middle line:84%
Well, if this capacitor's
sitting across the switch,

00:28:57.700 --> 00:28:59.890 align:middle line:84%
even though IL is
big and coming here,

00:28:59.890 --> 00:29:05.670 align:middle line:84%
this capacitor delays the
rise in voltage on the switch.

00:29:05.670 --> 00:29:09.390 align:middle line:84%
And I can turn off the switch
under approximately zero voltage

00:29:09.390 --> 00:29:11.670 align:middle line:84%
because of the
capacitance of this node.

00:29:11.670 --> 00:29:12.300 align:middle line:90%
All right.

00:29:12.300 --> 00:29:17.340 align:middle line:84%
So that's exactly
this picture here.

00:29:17.340 --> 00:29:18.270 align:middle line:90%
OK.

00:29:18.270 --> 00:29:22.950 align:middle line:84%
So what happens,
eventually, this inductor

00:29:22.950 --> 00:29:27.320 align:middle line:84%
charges up this capacitor
until the diode turns on.

00:29:27.320 --> 00:29:29.660 align:middle line:84%
So I get a zero
voltage transition.

00:29:29.660 --> 00:29:32.330 align:middle line:84%
You can see that in this
operating diagram here.

00:29:32.330 --> 00:29:36.790 align:middle line:84%
The voltage across
the switch goes up

00:29:36.790 --> 00:29:41.230 align:middle line:84%
until it hits VN,
which is exactly

00:29:41.230 --> 00:29:43.150 align:middle line:84%
the condition in
which the diode is on

00:29:43.150 --> 00:29:45.550 align:middle line:84%
and the inductor is
going to circulate

00:29:45.550 --> 00:29:47.120 align:middle line:90%
its current into the output.

00:29:47.120 --> 00:29:49.900 align:middle line:84%
Does that make
sense to everybody?

00:29:49.900 --> 00:29:51.850 align:middle line:84%
Now what I have to
do in this circuit

00:29:51.850 --> 00:29:57.730 align:middle line:84%
is somehow ensure that this
voltage across the switch

00:29:57.730 --> 00:30:00.490 align:middle line:84%
be switch, which I
guess I should have kept

00:30:00.490 --> 00:30:02.720 align:middle line:90%
my color scheme consistent.

00:30:02.720 --> 00:30:08.282 align:middle line:84%
V switch is going to
get back down to 0.

00:30:08.282 --> 00:30:09.740 align:middle line:84%
How does that work
in this circuit?

00:30:09.740 --> 00:30:11.440 align:middle line:84%
What magic do I
do in the circuit?

00:30:11.440 --> 00:30:13.390 align:middle line:84%
Well, in this circuit,
what we're going to do

00:30:13.390 --> 00:30:15.582 align:middle line:84%
is we're going to let
the diode conduct.

00:30:15.582 --> 00:30:18.040 align:middle line:84%
And because there's a negative
voltage across the inductor,

00:30:18.040 --> 00:30:21.360 align:middle line:84%
the inductor current
is going to ramp down.

00:30:21.360 --> 00:30:25.000 align:middle line:84%
Until the inductor
current hits 0.

00:30:25.000 --> 00:30:31.210 align:middle line:84%
OK once the inductor current
hits zero, the switch is off.

00:30:31.210 --> 00:30:33.010 align:middle line:90%
The diode is off.

00:30:33.010 --> 00:30:35.710 align:middle line:84%
And all I essentially
have is a resonance.

00:30:35.710 --> 00:30:38.100 align:middle line:84%
If I think about V
out as being constant,

00:30:38.100 --> 00:30:41.530 align:middle line:84%
I have a resonance
between the buck conductor

00:30:41.530 --> 00:30:45.250 align:middle line:84%
and the capacitance
at the switch.

00:30:45.250 --> 00:30:48.620 align:middle line:90%
So both devices are now off.

00:30:48.620 --> 00:30:51.770 align:middle line:84%
By the way, this diode is
turned off at zero current,

00:30:51.770 --> 00:30:54.770 align:middle line:84%
naturally, because the
current's ramped down to zero.

00:30:54.770 --> 00:30:56.270 align:middle line:90%
OK.

00:30:56.270 --> 00:31:01.250 align:middle line:84%
But what's going to happen then,
the inductor and the capacitor

00:31:01.250 --> 00:31:02.750 align:middle line:84%
are going to ring
with each other

00:31:02.750 --> 00:31:04.470 align:middle line:84%
and the voltage
across the transistor

00:31:04.470 --> 00:31:06.500 align:middle line:90%
is going to ring down.

00:31:06.500 --> 00:31:08.040 align:middle line:84%
How far is it
going to ring down?

00:31:08.040 --> 00:31:09.980 align:middle line:84%
That makes for a great
homework problem.

00:31:09.980 --> 00:31:13.890 align:middle line:84%
But it's going to ring
down to V in minus 2V out.

00:31:13.890 --> 00:31:18.770 align:middle line:84%
So if the output voltage V
out was exactly half the input

00:31:18.770 --> 00:31:23.270 align:middle line:84%
voltage, this node would
ring exactly down to zero.

00:31:23.270 --> 00:31:26.433 align:middle line:84%
If it was a little bit bigger,
it wouldn't quite get to zero.

00:31:26.433 --> 00:31:29.100 align:middle line:84%
If it was a little bit less, it
would ring all the way into zero

00:31:29.100 --> 00:31:33.410 align:middle line:84%
and the internal body
diode of this MOSFET

00:31:33.410 --> 00:31:36.470 align:middle line:84%
would turn on because
don't forget there's

00:31:36.470 --> 00:31:39.910 align:middle line:90%
a free diode right there.

00:31:39.910 --> 00:31:41.703 align:middle line:84%
So what that means
is this circuit,

00:31:41.703 --> 00:31:44.120 align:middle line:84%
as long as I let the inductor
current get all the way down

00:31:44.120 --> 00:31:46.160 align:middle line:84%
to zero and then
the diode turns off,

00:31:46.160 --> 00:31:49.130 align:middle line:84%
this voltage can ring
all the way down to zero

00:31:49.130 --> 00:31:53.120 align:middle line:84%
and I get the opportunity
to turn on the switch

00:31:53.120 --> 00:31:55.850 align:middle line:84%
when he already has zero
voltage across them.

00:31:55.850 --> 00:31:57.920 align:middle line:84%
The resonance between
the buck inductor

00:31:57.920 --> 00:32:03.440 align:middle line:84%
and the capacitor at that node
give me a free zero voltage

00:32:03.440 --> 00:32:05.710 align:middle line:90%
switching opportunity.

00:32:05.710 --> 00:32:07.790 align:middle line:84%
The current in the
device is zero.

00:32:07.790 --> 00:32:09.940 align:middle line:84%
The voltages naturally
run down to zero.

00:32:09.940 --> 00:32:11.900 align:middle line:90%
And I can turn them on for free.

00:32:11.900 --> 00:32:12.400 align:middle line:90%
OK.

00:32:12.400 --> 00:32:15.940 align:middle line:84%
So I've got zero voltage
turn off at the switch, zero

00:32:15.940 --> 00:32:18.550 align:middle line:90%
voltage turn on at the switch.

00:32:18.550 --> 00:32:19.755 align:middle line:90%
Any questions about that?

00:32:19.755 --> 00:32:22.350 align:middle line:90%


00:32:22.350 --> 00:32:24.540 align:middle line:84%
These are actually
real waveforms.

00:32:24.540 --> 00:32:26.670 align:middle line:84%
The green is the
inductor current ringing

00:32:26.670 --> 00:32:28.890 align:middle line:84%
up and down with
this high ringing.

00:32:28.890 --> 00:32:34.260 align:middle line:84%
The blue waveform is
actually the drain voltage

00:32:34.260 --> 00:32:35.320 align:middle line:90%
of the transistor.

00:32:35.320 --> 00:32:37.230 align:middle line:90%
So you can see where it's on.

00:32:37.230 --> 00:32:38.940 align:middle line:84%
This is the gate
drive turning off.

00:32:38.940 --> 00:32:40.320 align:middle line:90%
The voltage goes up.

00:32:40.320 --> 00:32:42.480 align:middle line:84%
Then it eventually rings
down so I can turn them

00:32:42.480 --> 00:32:45.456 align:middle line:90%
on again for free.

00:32:45.456 --> 00:32:48.490 align:middle line:84%
In this example, this
was coming from 100 volts

00:32:48.490 --> 00:32:51.920 align:middle line:84%
in to 35 volts out
in this snapshot.

00:32:51.920 --> 00:32:54.610 align:middle line:84%
And it was running
at about 8 megahertz.

00:32:54.610 --> 00:32:58.832 align:middle line:84%
So if you do your calculations
for 100 volts input and running

00:32:58.832 --> 00:33:00.790 align:middle line:84%
at 8 megahertz, you try
to do that hard switch,

00:33:00.790 --> 00:33:02.123 align:middle line:90%
you're going to be very unhappy.

00:33:02.123 --> 00:33:04.870 align:middle line:90%


00:33:04.870 --> 00:33:08.440 align:middle line:84%
So one of the things is, by
soft switching this thing,

00:33:08.440 --> 00:33:11.110 align:middle line:84%
we to get to very
high frequencies

00:33:11.110 --> 00:33:13.610 align:middle line:84%
while maintaining
high efficiency.

00:33:13.610 --> 00:33:16.990 align:middle line:84%
The efficiency of that converter
at that point is about 97%.

00:33:16.990 --> 00:33:18.160 align:middle line:90%
Yeah.

00:33:18.160 --> 00:33:20.860 align:middle line:84%
STUDENT: About how large is
the parasitic capacitance

00:33:20.860 --> 00:33:22.070 align:middle line:90%
across the transistor?

00:33:22.070 --> 00:33:24.452 align:middle line:84%
And do you choose
the transistor based

00:33:24.452 --> 00:33:25.660 align:middle line:90%
on the parasitic capacitance?

00:33:25.660 --> 00:33:29.860 align:middle line:84%
PROFESSOR: That's an
excellent question.

00:33:29.860 --> 00:33:33.940 align:middle line:90%
In this design, you have to--

00:33:33.940 --> 00:33:35.710 align:middle line:84%
the switching frequency
is going to be

00:33:35.710 --> 00:33:38.470 align:middle line:84%
determined by the
inductance value

00:33:38.470 --> 00:33:40.670 align:middle line:90%
and by the net capacitance.

00:33:40.670 --> 00:33:42.910 align:middle line:84%
If all of the net
capacitance is provided

00:33:42.910 --> 00:33:46.070 align:middle line:84%
by the switch in the diode,
then you very much care.

00:33:46.070 --> 00:33:47.810 align:middle line:84%
You can't throw a
random switch in there.

00:33:47.810 --> 00:33:49.210 align:middle line:84%
You need one with
the right capacitance

00:33:49.210 --> 00:33:51.752 align:middle line:84%
that will get you at the right
frequency and everything else.

00:33:51.752 --> 00:33:54.630 align:middle line:84%
If you added-- you
could, and people often

00:33:54.630 --> 00:33:57.938 align:middle line:84%
do add external capacitance,
so that then that's

00:33:57.938 --> 00:34:00.480 align:middle line:84%
the controlled capacitance and
the device capacitance doesn't

00:34:00.480 --> 00:34:01.590 align:middle line:90%
matter as much.

00:34:01.590 --> 00:34:03.540 align:middle line:84%
But when you're doing
this game, yes, you

00:34:03.540 --> 00:34:05.640 align:middle line:84%
care much more about
what the parasitics look

00:34:05.640 --> 00:34:08.570 align:middle line:84%
like because you're actually
using the parasitics here.

00:34:08.570 --> 00:34:10.670 align:middle line:84%
And I should say,
by the way, I'm

00:34:10.670 --> 00:34:12.440 align:middle line:84%
pretending that the
device capacitance

00:34:12.440 --> 00:34:14.152 align:middle line:90%
is a lossless capacitance.

00:34:14.152 --> 00:34:15.860 align:middle line:84%
Were that it were so
but you actually get

00:34:15.860 --> 00:34:18.540 align:middle line:90%
some loss in that capacitance.

00:34:18.540 --> 00:34:20.420 align:middle line:84%
So sometimes you
would like to use

00:34:20.420 --> 00:34:24.260 align:middle line:84%
a high quality
external capacitor

00:34:24.260 --> 00:34:28.070 align:middle line:84%
so that that ringdown is less
lossy than it would otherwise

00:34:28.070 --> 00:34:28.730 align:middle line:90%
be.

00:34:28.730 --> 00:34:31.429 align:middle line:84%
But in this case, we pushed up
the switching frequency so far

00:34:31.429 --> 00:34:34.420 align:middle line:84%
that we could just do it
with the device capacitance.

00:34:34.420 --> 00:34:34.920 align:middle line:90%
OK.

00:34:34.920 --> 00:34:38.860 align:middle line:90%


00:34:38.860 --> 00:34:39.760 align:middle line:90%
Now.

00:34:39.760 --> 00:34:42.357 align:middle line:84%
The fact that this inductor is
resonating with the capacitor

00:34:42.357 --> 00:34:44.440 align:middle line:84%
also means you've got to
be very careful about how

00:34:44.440 --> 00:34:45.710 align:middle line:90%
you size that inductor.

00:34:45.710 --> 00:34:47.210 align:middle line:84%
You can't pick any
inductance value.

00:34:47.210 --> 00:34:48.230 align:middle line:84%
You've got to pick
the right one.

00:34:48.230 --> 00:34:50.350 align:middle line:84%
But it turns out to be an
extremely small inductor

00:34:50.350 --> 00:34:52.320 align:middle line:84%
because it has a
lot of ripple in it.

00:34:52.320 --> 00:34:54.040 align:middle line:90%
OK.

00:34:54.040 --> 00:34:56.600 align:middle line:84%
How do we control power
in this converter?

00:34:56.600 --> 00:34:59.170 align:middle line:84%
Well, basically, we
can turn on the switch

00:34:59.170 --> 00:35:01.470 align:middle line:84%
until the inductor current
hits the current I want.

00:35:01.470 --> 00:35:04.090 align:middle line:84%
It's like peak current
control, if you

00:35:04.090 --> 00:35:06.210 align:middle line:90%
will, but with high ripple.

00:35:06.210 --> 00:35:08.473 align:middle line:84%
So this is a variable
frequency converter.

00:35:08.473 --> 00:35:09.890 align:middle line:84%
In fact, over its
operating range,

00:35:09.890 --> 00:35:13.010 align:middle line:84%
this converter varies
between 5 and 10 megahertz.

00:35:13.010 --> 00:35:15.010 align:middle line:90%
So it's not fixed frequency.

00:35:15.010 --> 00:35:17.920 align:middle line:84%
So if you're going to do
this game in this design,

00:35:17.920 --> 00:35:21.070 align:middle line:84%
you've had to design the whole
converter and its operation,

00:35:21.070 --> 00:35:24.010 align:middle line:84%
its control all around
getting soft switching.

00:35:24.010 --> 00:35:26.170 align:middle line:84%
So it's not like I can
say I want my switching

00:35:26.170 --> 00:35:29.470 align:middle line:84%
frequency to be this and
just go design it with PWM.

00:35:29.470 --> 00:35:30.970 align:middle line:90%
No.

00:35:30.970 --> 00:35:33.460 align:middle line:84%
The whole thing is designed
around the soft switch

00:35:33.460 --> 00:35:36.240 align:middle line:90%
operation.

00:35:36.240 --> 00:35:38.990 align:middle line:90%
Any questions about that?

00:35:38.990 --> 00:35:40.110 align:middle line:90%
Where might you do this?

00:35:40.110 --> 00:35:41.660 align:middle line:90%
I'll show you one more example.

00:35:41.660 --> 00:35:44.190 align:middle line:84%
I should say it has a limited
zero voltage switching range.

00:35:44.190 --> 00:35:46.730 align:middle line:84%
Technically, we need
the output voltage

00:35:46.730 --> 00:35:50.710 align:middle line:84%
to be greater than half
the input voltage which

00:35:50.710 --> 00:35:53.393 align:middle line:84%
is, you know, limits your
buck conversion ratio that you

00:35:53.393 --> 00:35:54.560 align:middle line:90%
can get with this converter.

00:35:54.560 --> 00:35:57.190 align:middle line:84%
Maybe you can get down to a
third of the input voltage

00:35:57.190 --> 00:36:00.260 align:middle line:84%
before your switching
losses become too big.

00:36:00.260 --> 00:36:02.690 align:middle line:84%
It won't be quite soft
switched but it'll be close.

00:36:02.690 --> 00:36:05.187 align:middle line:84%
So there are a lot of
constraints around this.

00:36:05.187 --> 00:36:06.770 align:middle line:84%
What's your switching
frequency range?

00:36:06.770 --> 00:36:08.645 align:middle line:84%
What's your allowed
voltage conversion range?

00:36:08.645 --> 00:36:10.513 align:middle line:90%
What's the power range?

00:36:10.513 --> 00:36:12.430 align:middle line:84%
You've put yourself under
a lot of constraints

00:36:12.430 --> 00:36:15.190 align:middle line:84%
that may be a normal PWM
converter doesn't have,

00:36:15.190 --> 00:36:17.110 align:middle line:84%
but you get to go
to a high frequency

00:36:17.110 --> 00:36:21.250 align:middle line:84%
and make everything
small and react fast.

00:36:21.250 --> 00:36:22.820 align:middle line:90%
This is another example.

00:36:22.820 --> 00:36:26.750 align:middle line:90%
This is a different converter.

00:36:26.750 --> 00:36:28.320 align:middle line:90%
This is a higher voltage.

00:36:28.320 --> 00:36:31.920 align:middle line:84%
This is for a wide input
voltage range, higher power.

00:36:31.920 --> 00:36:33.930 align:middle line:90%
This is 1 to 4 megahertz.

00:36:33.930 --> 00:36:35.540 align:middle line:84%
You can see that
we're still getting

00:36:35.540 --> 00:36:38.660 align:middle line:84%
very high efficiencies
across a wide power

00:36:38.660 --> 00:36:42.920 align:middle line:90%
range, so in this example 98%.

00:36:42.920 --> 00:36:44.940 align:middle line:84%
This is the
converter it went in.

00:36:44.940 --> 00:36:48.770 align:middle line:84%
It's actually a
computer power supply.

00:36:48.770 --> 00:36:53.040 align:middle line:84%
So it has a rectifier and then
a pair of these buck converters.

00:36:53.040 --> 00:36:54.260 align:middle line:90%
You can see them here.

00:36:54.260 --> 00:36:57.880 align:middle line:84%
And then there's another
converter to do isolation.

00:36:57.880 --> 00:37:01.780 align:middle line:84%
And these are the twice
line frequency energy caps.

00:37:01.780 --> 00:37:03.430 align:middle line:84%
But the beauty of
doing this, getting

00:37:03.430 --> 00:37:05.110 align:middle line:84%
to this very high
frequency, this

00:37:05.110 --> 00:37:07.065 align:middle line:84%
is one kind of soft
switch converter,

00:37:07.065 --> 00:37:08.690 align:middle line:84%
the resonant transition
buck converter.

00:37:08.690 --> 00:37:11.530 align:middle line:84%
There's another kind of soft
switch converter based on what's

00:37:11.530 --> 00:37:13.510 align:middle line:90%
known as a dual active bridge.

00:37:13.510 --> 00:37:17.740 align:middle line:84%
But this whole converter
end to end, AC in to DC out,

00:37:17.740 --> 00:37:21.080 align:middle line:90%
is like almost 96% efficient.

00:37:21.080 --> 00:37:24.520 align:middle line:84%
It's 80 plus platinum
rated efficiency.

00:37:24.520 --> 00:37:26.980 align:middle line:84%
And it's way out there
in the combination

00:37:26.980 --> 00:37:29.780 align:middle line:84%
of what you can get in terms of
efficiency and power density.

00:37:29.780 --> 00:37:33.160 align:middle line:84%
In fact, if you look at these
designs that are way out here,

00:37:33.160 --> 00:37:36.010 align:middle line:84%
giving you high combinations of
efficiency and power density,

00:37:36.010 --> 00:37:39.580 align:middle line:84%
they tend to all be
soft switch designs.

00:37:39.580 --> 00:37:41.200 align:middle line:84%
If you don't care
about power density,

00:37:41.200 --> 00:37:42.700 align:middle line:84%
you can get high
efficiency but make

00:37:42.700 --> 00:37:45.630 align:middle line:84%
it big by using a low
switching frequency.

00:37:45.630 --> 00:37:49.420 align:middle line:84%
But if you really want to make
something small and efficient,

00:37:49.420 --> 00:37:51.740 align:middle line:90%
this is the way to go.

00:37:51.740 --> 00:37:53.830 align:middle line:90%
OK.

00:37:53.830 --> 00:37:55.930 align:middle line:84%
That's the zero voltage
switching example.

00:37:55.930 --> 00:37:57.430 align:middle line:84%
And you can see,
by the way, there's

00:37:57.430 --> 00:38:04.060 align:middle line:84%
a duel between ZVS turn off
and ZCS turn on and ZCS turn on

00:38:04.060 --> 00:38:06.680 align:middle line:90%
and ZVS--

00:38:06.680 --> 00:38:10.400 align:middle line:84%
I'm sorry, ZCS turn
off and ZVS turn on.

00:38:10.400 --> 00:38:10.900 align:middle line:90%
OK.

00:38:10.900 --> 00:38:14.290 align:middle line:84%
So you can do any combination of
these techniques that you want.

00:38:14.290 --> 00:38:17.030 align:middle line:84%
They're not all
created equal, however.

00:38:17.030 --> 00:38:17.530 align:middle line:90%
OK.

00:38:17.530 --> 00:38:18.030 align:middle line:90%
Why?

00:38:18.030 --> 00:38:20.590 align:middle line:90%


00:38:20.590 --> 00:38:24.910 align:middle line:84%
All devices have some internal
parasitic capacitance.

00:38:24.910 --> 00:38:29.620 align:middle line:84%
So even if I turn this switch
on with zero current coming

00:38:29.620 --> 00:38:32.980 align:middle line:84%
from here, if he has
voltage across them,

00:38:32.980 --> 00:38:35.840 align:middle line:84%
I still dissipate
energy in this switch.

00:38:35.840 --> 00:38:41.170 align:middle line:84%
So if I want to think
about the energy associated

00:38:41.170 --> 00:38:45.000 align:middle line:84%
with the switch
capacitance, I really

00:38:45.000 --> 00:38:47.350 align:middle line:90%
need zero voltage switching.

00:38:47.350 --> 00:38:50.110 align:middle line:84%
On the other hand, if I had a
switch that was in a package

00:38:50.110 --> 00:38:55.240 align:middle line:84%
with a huge inductance,
turning this on and off

00:38:55.240 --> 00:38:57.850 align:middle line:84%
the voltage will not help
me if I have energy stored

00:38:57.850 --> 00:39:00.850 align:middle line:90%
in this parasitic inductance.

00:39:00.850 --> 00:39:05.000 align:middle line:84%
So depending upon whether
I had a lot of capacitance

00:39:05.000 --> 00:39:06.590 align:middle line:84%
or I had a lot of
inductance, I might

00:39:06.590 --> 00:39:10.040 align:middle line:84%
think about doing one or
the other parasitically.

00:39:10.040 --> 00:39:13.820 align:middle line:84%
To go to really high frequencies
where many people in my group

00:39:13.820 --> 00:39:17.420 align:middle line:84%
design converters, we tend to
focus on zero voltage switching

00:39:17.420 --> 00:39:19.340 align:middle line:84%
because that lets you
push up the switching

00:39:19.340 --> 00:39:21.410 align:middle line:84%
frequency in the face of
the device capacitance

00:39:21.410 --> 00:39:22.710 align:middle line:90%
as being very important.

00:39:22.710 --> 00:39:24.920 align:middle line:90%
But that's a design decision.

00:39:24.920 --> 00:39:26.540 align:middle line:84%
And in fact, that's
why there are

00:39:26.540 --> 00:39:27.840 align:middle line:90%
so many different techniques.

00:39:27.840 --> 00:39:30.390 align:middle line:84%
I'm only showing you
examples of these techniques.

00:39:30.390 --> 00:39:33.980 align:middle line:84%
There's a lot of different
ones because different devices,

00:39:33.980 --> 00:39:35.720 align:middle line:84%
different applications,
and operating

00:39:35.720 --> 00:39:38.570 align:middle line:84%
range all might drive you
towards a different circuit that

00:39:38.570 --> 00:39:40.650 align:middle line:84%
would have advantage
or disadvantage.

00:39:40.650 --> 00:39:43.550 align:middle line:84%
And that's part of the art of
designing a high performance

00:39:43.550 --> 00:39:46.250 align:middle line:84%
converter is knowing
which technique to pick

00:39:46.250 --> 00:39:48.500 align:middle line:84%
in what application
and what topology

00:39:48.500 --> 00:39:49.900 align:middle line:90%
and what control mode to use.

00:39:49.900 --> 00:39:54.790 align:middle line:90%


00:39:54.790 --> 00:39:56.300 align:middle line:90%
Let's talk about this one.

00:39:56.300 --> 00:40:01.510 align:middle line:84%
This is a zero current switch,
quasi-resonant buck converter.

00:40:01.510 --> 00:40:05.200 align:middle line:84%
This is part of a particular
flavor of soft switch

00:40:05.200 --> 00:40:05.718 align:middle line:90%
converters.

00:40:05.718 --> 00:40:08.260 align:middle line:84%
And this paper reference here,
this is actually a very famous

00:40:08.260 --> 00:40:11.530 align:middle line:90%
paper from the late 1980s.

00:40:11.530 --> 00:40:13.420 align:middle line:84%
And you will see
commercial converters

00:40:13.420 --> 00:40:16.150 align:middle line:84%
using the quasi-resonant
technique, either ZVS

00:40:16.150 --> 00:40:18.500 align:middle line:84%
quasi-resonant or
ZCS quasi-resonant.

00:40:18.500 --> 00:40:20.290 align:middle line:84%
It's not as popular
as it used to be,

00:40:20.290 --> 00:40:23.860 align:middle line:84%
but I thought I'd illustrate a
zero current switch converter.

00:40:23.860 --> 00:40:26.860 align:middle line:84%
So if I look at this
converter, what do I see?

00:40:26.860 --> 00:40:30.370 align:middle line:84%
If I took away Cr and Lr
and I just took them out,

00:40:30.370 --> 00:40:33.450 align:middle line:84%
what kind of converter
would this be?

00:40:33.450 --> 00:40:36.350 align:middle line:84%
It'd be a straight up
buck converter, right?

00:40:36.350 --> 00:40:41.440 align:middle line:84%
What we are doing is we're
putting a resonant inductor

00:40:41.440 --> 00:40:43.300 align:middle line:90%
in series with the switch.

00:40:43.300 --> 00:40:45.640 align:middle line:84%
So if you told me nothing
else about this converter

00:40:45.640 --> 00:40:47.710 align:middle line:84%
and I looked at that,
I'd say, boy, they're

00:40:47.710 --> 00:40:49.312 align:middle line:84%
probably using zero
current switching

00:40:49.312 --> 00:40:51.520 align:middle line:84%
because I got this inductor
in series with the switch

00:40:51.520 --> 00:40:54.220 align:middle line:90%
and I don't want to--

00:40:54.220 --> 00:40:56.320 align:middle line:84%
that will let me
turn on the switch

00:40:56.320 --> 00:40:58.780 align:middle line:90%
and hold the current low in it.

00:40:58.780 --> 00:41:05.340 align:middle line:84%
That would be ZCS
turn on, this trick.

00:41:05.340 --> 00:41:10.450 align:middle line:84%
And then that probably means
I need ZCS turn off, too,

00:41:10.450 --> 00:41:12.390 align:middle line:84%
because if I turn
off the switch when

00:41:12.390 --> 00:41:16.290 align:middle line:84%
the current's in that inductor,
I'm going to be unhappy.

00:41:16.290 --> 00:41:17.010 align:middle line:90%
OK.

00:41:17.010 --> 00:41:19.900 align:middle line:90%
So how does this thing work?

00:41:19.900 --> 00:41:22.790 align:middle line:90%
Suppose the diode is conducting.

00:41:22.790 --> 00:41:25.220 align:middle line:84%
So this is acting
like a buck converter.

00:41:25.220 --> 00:41:28.190 align:middle line:84%
I'm going to commutate between
the switch on and the diode on.

00:41:28.190 --> 00:41:30.130 align:middle line:84%
But suppose the
diode's conducting.

00:41:30.130 --> 00:41:33.680 align:middle line:84%
This inductor here is
just a giant inductor.

00:41:33.680 --> 00:41:36.350 align:middle line:84%
So think of him as having
a constant current.

00:41:36.350 --> 00:41:44.050 align:middle line:84%
When I want to switch, I want
to turn the switch on, fine,

00:41:44.050 --> 00:41:45.710 align:middle line:90%
I just turn the switch on.

00:41:45.710 --> 00:41:48.070 align:middle line:84%
He turns on under zero
current because he's

00:41:48.070 --> 00:41:50.400 align:middle line:90%
in series with this inductor.

00:41:50.400 --> 00:41:50.900 align:middle line:90%
OK.

00:41:50.900 --> 00:41:53.030 align:middle line:84%
So I get this kind of
switching transition.

00:41:53.030 --> 00:41:56.030 align:middle line:84%
He can turn on at
low loss, at least

00:41:56.030 --> 00:42:00.330 align:middle line:90%
ignoring his switch capacitance.

00:42:00.330 --> 00:42:01.090 align:middle line:90%
All right.

00:42:01.090 --> 00:42:07.652 align:middle line:84%
Once the switch is on, now I
have V in across the inductor

00:42:07.652 --> 00:42:09.360 align:middle line:84%
and the diode's
conducting so I basically

00:42:09.360 --> 00:42:11.370 align:middle line:84%
have V in across this
resonant inductor.

00:42:11.370 --> 00:42:14.380 align:middle line:84%
And the current in the inductor
is going to ramp up linearly.

00:42:14.380 --> 00:42:16.450 align:middle line:90%
That's this picture here.

00:42:16.450 --> 00:42:19.080 align:middle line:84%
The current in this inductor
is going to ramp up linearly.

00:42:19.080 --> 00:42:20.778 align:middle line:84%
Eventually, the
current in the inductor

00:42:20.778 --> 00:42:22.320 align:middle line:84%
is going to exceed
the output current

00:42:22.320 --> 00:42:26.100 align:middle line:84%
and the diode is
going to turn off.

00:42:26.100 --> 00:42:31.110 align:middle line:84%
Once the diode turns
off, basically, now Lr,

00:42:31.110 --> 00:42:33.250 align:middle line:84%
though it's still
at zero voltage,

00:42:33.250 --> 00:42:37.270 align:middle line:84%
Lr is going to
resonate with Cr here.

00:42:37.270 --> 00:42:40.035 align:middle line:84%
And I'm going to have
a current pulse I

00:42:40.035 --> 00:42:41.230 align:middle line:90%
Lr that's going to do this.

00:42:41.230 --> 00:42:42.970 align:middle line:90%
It's going to ring up.

00:42:42.970 --> 00:42:45.400 align:middle line:84%
It was linearly charging
and then it rings up.

00:42:45.400 --> 00:42:47.740 align:middle line:84%
And then this voltage
is going to get bigger

00:42:47.740 --> 00:42:50.200 align:middle line:84%
than the input voltage and
it's going to ring down.

00:42:50.200 --> 00:42:55.810 align:middle line:84%
And eventually, the current is
going to reverse and charge back

00:42:55.810 --> 00:42:58.210 align:middle line:90%
this way.

00:42:58.210 --> 00:43:00.160 align:middle line:84%
Once the current is
charging back this way,

00:43:00.160 --> 00:43:02.590 align:middle line:84%
that means it's going
through this diode.

00:43:02.590 --> 00:43:05.950 align:middle line:90%
I can turn the FET off.

00:43:05.950 --> 00:43:10.000 align:middle line:84%
When the FET's off, once
I Lr goes to zero again,

00:43:10.000 --> 00:43:12.350 align:middle line:90%
everything just stays off.

00:43:12.350 --> 00:43:15.590 align:middle line:84%
And during that time
period, this diode

00:43:15.590 --> 00:43:17.910 align:middle line:90%
is going to be conducting again.

00:43:17.910 --> 00:43:18.430 align:middle line:90%
All right.

00:43:18.430 --> 00:43:20.472 align:middle line:84%
So we're going to basically
take a buck converter

00:43:20.472 --> 00:43:24.240 align:middle line:84%
and put this Lr and Cr
in it so that, basically,

00:43:24.240 --> 00:43:27.570 align:middle line:84%
when I turn on the transistor, I
get a resonant pulse of current

00:43:27.570 --> 00:43:30.840 align:middle line:84%
and return to zero and then the
diode is going to conduct again,

00:43:30.840 --> 00:43:34.140 align:middle line:90%
essentially, because when this--

00:43:34.140 --> 00:43:36.120 align:middle line:90%
I should have been clear.

00:43:36.120 --> 00:43:39.330 align:middle line:84%
This rings up, VCR
peaks, and then VCR rings

00:43:39.330 --> 00:43:41.530 align:middle line:84%
down to zero and the diode
picks up the current.

00:43:41.530 --> 00:43:44.790 align:middle line:84%
So what happens is I have a
situation where this diode is

00:43:44.790 --> 00:43:48.540 align:middle line:84%
carrying the output
current except for pulses

00:43:48.540 --> 00:43:51.200 align:middle line:90%
when I trip this device on.

00:43:51.200 --> 00:43:55.190 align:middle line:84%
And depending upon how
often I trip this device on,

00:43:55.190 --> 00:43:59.510 align:middle line:84%
I get more and more
pulses from the input.

00:43:59.510 --> 00:44:01.650 align:middle line:90%
So this is another technique.

00:44:01.650 --> 00:44:03.800 align:middle line:84%
We're going to use resonant
elements introduced

00:44:03.800 --> 00:44:04.990 align:middle line:90%
into the circuit.

00:44:04.990 --> 00:44:07.350 align:middle line:84%
It doesn't look anything
like a PWM converter.

00:44:07.350 --> 00:44:10.820 align:middle line:84%
I'm getting these resonant
pulses from the input.

00:44:10.820 --> 00:44:15.050 align:middle line:84%
And it turns out that the
average voltage at this node,

00:44:15.050 --> 00:44:17.180 align:middle line:84%
which determines the
average output voltage,

00:44:17.180 --> 00:44:21.020 align:middle line:84%
is precisely determined
by how often I

00:44:21.020 --> 00:44:24.830 align:middle line:84%
trip this switch on relative
to the resonant frequency.

00:44:24.830 --> 00:44:28.600 align:middle line:84%
So it's actually really a
frequency controlled converter.

00:44:28.600 --> 00:44:29.270 align:middle line:90%
OK.

00:44:29.270 --> 00:44:31.850 align:middle line:84%
If I trip the switch on a lot,
I get a higher output voltage.

00:44:31.850 --> 00:44:33.392 align:middle line:84%
If I trip the switch
on occasionally,

00:44:33.392 --> 00:44:36.090 align:middle line:90%
I get a lower output voltage.

00:44:36.090 --> 00:44:40.650 align:middle line:84%
So why might I do
this technique?

00:44:40.650 --> 00:44:42.990 align:middle line:84%
Well, notice that the
current in the switch

00:44:42.990 --> 00:44:47.670 align:middle line:90%
is very smooth, very low EMI.

00:44:47.670 --> 00:44:50.250 align:middle line:90%
That's kind of nice.

00:44:50.250 --> 00:44:53.700 align:middle line:84%
The overlap switching loss
is gone because of the zero

00:44:53.700 --> 00:44:55.650 align:middle line:84%
current switching,
although I still

00:44:55.650 --> 00:45:00.750 align:middle line:84%
have the capacitive
discharge loss in the switch.

00:45:00.750 --> 00:45:03.420 align:middle line:90%
So it has some advantages.

00:45:03.420 --> 00:45:05.370 align:middle line:84%
On the other hand,
I can still get

00:45:05.370 --> 00:45:07.080 align:middle line:84%
ringing between the
device capacitance

00:45:07.080 --> 00:45:08.350 align:middle line:90%
and the resonant inductance.

00:45:08.350 --> 00:45:10.510 align:middle line:84%
I can still have
problems with ringing.

00:45:10.510 --> 00:45:13.080 align:middle line:84%
So this kind of technique is
good to moderate frequencies

00:45:13.080 --> 00:45:14.620 align:middle line:90%
but not super high frequencies.

00:45:14.620 --> 00:45:16.500 align:middle line:84%
It might be good for
a device type that

00:45:16.500 --> 00:45:19.650 align:middle line:84%
likes to turn on and off
with low current in it.

00:45:19.650 --> 00:45:20.150 align:middle line:90%
OK.

00:45:20.150 --> 00:45:25.190 align:middle line:90%


00:45:25.190 --> 00:45:29.120 align:middle line:84%
Other limits-- because I have
these pulsey kind of waveforms,

00:45:29.120 --> 00:45:33.070 align:middle line:84%
I tend to have a lot of reactive
power transfer in this circuit.

00:45:33.070 --> 00:45:35.570 align:middle line:84%
It's not like I've got square
wave voltages and currents

00:45:35.570 --> 00:45:39.920 align:middle line:84%
and I'm kind of optimizing how
power flows through the circuit.

00:45:39.920 --> 00:45:42.188 align:middle line:84%
And I also tend to have
increased device stress.

00:45:42.188 --> 00:45:43.730 align:middle line:84%
So this diode,
instead of being rated

00:45:43.730 --> 00:45:46.010 align:middle line:84%
for the input voltage like
a normal buck converter,

00:45:46.010 --> 00:45:48.335 align:middle line:84%
might be rated for
twice the input voltage.

00:45:48.335 --> 00:45:49.460 align:middle line:90%
So I've gotten some things.

00:45:49.460 --> 00:45:51.320 align:middle line:84%
I've gotten some
reduced switching loss,

00:45:51.320 --> 00:45:54.050 align:middle line:84%
but I've had to entirely
compromise everything

00:45:54.050 --> 00:45:57.858 align:middle line:90%
about my converter to get it.

00:45:57.858 --> 00:45:58.900 align:middle line:90%
Any questions about that?

00:45:58.900 --> 00:46:02.310 align:middle line:90%


00:46:02.310 --> 00:46:07.230 align:middle line:84%
Now I would characterize that
as one flavor of soft switch

00:46:07.230 --> 00:46:10.350 align:middle line:84%
converters where you
design the whole converter

00:46:10.350 --> 00:46:14.880 align:middle line:84%
around the switching regime to
get you the nice soft switched

00:46:14.880 --> 00:46:15.880 align:middle line:90%
operation.

00:46:15.880 --> 00:46:18.510 align:middle line:84%
So how you control it, how
you pick the components,

00:46:18.510 --> 00:46:21.510 align:middle line:84%
all of that stuff
is 100% determined

00:46:21.510 --> 00:46:25.320 align:middle line:84%
by getting soft switching and
keeping soft switching where

00:46:25.320 --> 00:46:26.310 align:middle line:90%
you want it.

00:46:26.310 --> 00:46:31.590 align:middle line:84%
So it's just like there's all
kinds of classes of soft switch

00:46:31.590 --> 00:46:33.310 align:middle line:84%
converter that you
can talk about.

00:46:33.310 --> 00:46:36.540 align:middle line:84%
But a big category is circuits
that you design the circuit

00:46:36.540 --> 00:46:41.550 align:middle line:84%
around getting the magic
operating waveform somehow.

00:46:41.550 --> 00:46:46.740 align:middle line:84%
Another class is how can I
augment a standard PWM converter

00:46:46.740 --> 00:46:49.020 align:middle line:84%
with some extra
circuitry that will

00:46:49.020 --> 00:46:51.720 align:middle line:84%
let me run it just like a
normal PWM converter, everything

00:46:51.720 --> 00:46:53.790 align:middle line:84%
we've been doing all
semester, but still

00:46:53.790 --> 00:46:56.070 align:middle line:84%
soft switch the
transistors, recover

00:46:56.070 --> 00:46:59.130 align:middle line:84%
the energy in any
snubbing, and still run it

00:46:59.130 --> 00:47:00.570 align:middle line:90%
like a normal converter?

00:47:00.570 --> 00:47:08.020 align:middle line:84%
And I'm almost out of time,
but I'll point to one example.

00:47:08.020 --> 00:47:10.280 align:middle line:84%
And I'll just give
you a notion of this.

00:47:10.280 --> 00:47:13.450 align:middle line:84%
And in fact, this circuit
or a close version

00:47:13.450 --> 00:47:19.420 align:middle line:84%
is described in KPVS, the
snubbers and soft switching

00:47:19.420 --> 00:47:19.920 align:middle line:90%
chapter.

00:47:19.920 --> 00:47:23.940 align:middle line:90%


00:47:23.940 --> 00:47:25.590 align:middle line:90%
Here is the idea.

00:47:25.590 --> 00:47:34.590 align:middle line:84%
If I ignored this Lr, D1, and
S1, what would this circuit--

00:47:34.590 --> 00:47:35.490 align:middle line:90%
and Cr--

00:47:35.490 --> 00:47:38.910 align:middle line:84%
if I ignore these elements,
what would this circuit be?

00:47:38.910 --> 00:47:40.500 align:middle line:84%
Just be a standard
boost converter.

00:47:40.500 --> 00:47:42.120 align:middle line:90%
Right?

00:47:42.120 --> 00:47:47.400 align:middle line:84%
And what we want to do is
think about designing a boost

00:47:47.400 --> 00:47:48.340 align:middle line:90%
converter.

00:47:48.340 --> 00:47:51.180 align:middle line:90%


00:47:51.180 --> 00:47:53.460 align:middle line:84%
So here's my standard
boost converter.

00:47:53.460 --> 00:47:56.850 align:middle line:84%
If I worked out what the
switching losses of this thing

00:47:56.850 --> 00:48:06.240 align:middle line:84%
were, I have,
basically, the fact

00:48:06.240 --> 00:48:10.260 align:middle line:84%
that he's going to turn on
and turn off loss of this guy

00:48:10.260 --> 00:48:14.460 align:middle line:84%
and then diode reverse recovery
is also often a big deal.

00:48:14.460 --> 00:48:15.300 align:middle line:90%
OK.

00:48:15.300 --> 00:48:17.460 align:middle line:84%
Well, what happens if
I came along and said,

00:48:17.460 --> 00:48:21.840 align:middle line:84%
look, I want to
help so I'm going

00:48:21.840 --> 00:48:25.920 align:middle line:84%
to go put a snubber
capacitor across my device

00:48:25.920 --> 00:48:29.234 align:middle line:84%
and give myself zero
voltage turn off?

00:48:29.234 --> 00:48:32.550 align:middle line:84%
This would still work just
like a boost converter.

00:48:32.550 --> 00:48:34.410 align:middle line:90%
I can turn them off.

00:48:34.410 --> 00:48:35.700 align:middle line:90%
He captures the energy.

00:48:35.700 --> 00:48:38.052 align:middle line:84%
And the only problem
I have now is

00:48:38.052 --> 00:48:39.510 align:middle line:84%
that when I turn
the switch on, I'm

00:48:39.510 --> 00:48:41.954 align:middle line:84%
going to dump that
capacitor energy.

00:48:41.954 --> 00:48:44.270 align:middle line:84%
So maybe I can come
up with a circuit

00:48:44.270 --> 00:48:47.600 align:middle line:84%
that just when I want to
go turn the switch back on

00:48:47.600 --> 00:48:50.040 align:middle line:84%
will suck the energy
off that capacitor

00:48:50.040 --> 00:48:52.850 align:middle line:84%
and let me turn on the
switch with zero voltage.

00:48:52.850 --> 00:48:54.380 align:middle line:90%
And the way they do that--

00:48:54.380 --> 00:48:57.920 align:middle line:84%
very clever design-- is they
put in another little baby boost

00:48:57.920 --> 00:49:01.220 align:middle line:90%
circuit like this.

00:49:01.220 --> 00:49:04.310 align:middle line:84%
And what it'll do is the orange
circuit doesn't do anything.

00:49:04.310 --> 00:49:06.380 align:middle line:90%
It's normally off.

00:49:06.380 --> 00:49:09.590 align:middle line:84%
When I turn off the
switch, the capacitor

00:49:09.590 --> 00:49:10.940 align:middle line:90%
gives me zero voltage switching.

00:49:10.940 --> 00:49:12.357 align:middle line:84%
But other than
that, it looks just

00:49:12.357 --> 00:49:13.860 align:middle line:90%
like a normal PWM converter.

00:49:13.860 --> 00:49:15.650 align:middle line:84%
When I get to the
end of the cycle

00:49:15.650 --> 00:49:19.370 align:middle line:84%
and I want to turn the switch
back on, what I do is I quickly

00:49:19.370 --> 00:49:24.050 align:middle line:84%
trip on the orange circuit and
basically use this inductor

00:49:24.050 --> 00:49:27.220 align:middle line:84%
to suck all the charge
off of this capacitor

00:49:27.220 --> 00:49:31.130 align:middle line:84%
and recover the energy on
this capacitor, at which point

00:49:31.130 --> 00:49:35.343 align:middle line:84%
I can turn on this converter
with zero voltage switching--

00:49:35.343 --> 00:49:37.510 align:middle line:84%
turn on this transistor
with zero voltage switching.

00:49:37.510 --> 00:49:39.180 align:middle line:84%
And then the orange
circuit, what

00:49:39.180 --> 00:49:42.340 align:middle line:84%
I do is I turn this thing
off and this inductor

00:49:42.340 --> 00:49:45.350 align:middle line:84%
current goes to the
output and gets delivered.

00:49:45.350 --> 00:49:45.850 align:middle line:90%
OK.

00:49:45.850 --> 00:49:49.370 align:middle line:84%
So the orange circuit is,
essentially, his entire job,

00:49:49.370 --> 00:49:52.930 align:middle line:84%
he only runs once in a
little for a very short time

00:49:52.930 --> 00:49:55.910 align:middle line:84%
to basically recover the
energy that's on the capacitor

00:49:55.910 --> 00:49:59.770 align:middle line:84%
so I can get zero voltage turn
off and zero voltage turn on.

00:49:59.770 --> 00:50:04.330 align:middle line:84%
This is called a zero
voltage transition converter.

00:50:04.330 --> 00:50:07.540 align:middle line:84%
The main converter in
white is soft switched.

00:50:07.540 --> 00:50:14.830 align:middle line:84%
This converter is got
zero current switching.

00:50:14.830 --> 00:50:19.570 align:middle line:84%
But still, this guy's
still turning on and off

00:50:19.570 --> 00:50:20.360 align:middle line:90%
at zero voltage.

00:50:20.360 --> 00:50:22.750 align:middle line:84%
He's got very high
peak pulse power.

00:50:22.750 --> 00:50:27.070 align:middle line:84%
But nonetheless, as long as
I use this orange circuit

00:50:27.070 --> 00:50:29.590 align:middle line:84%
at the opportune time, I can
run the rest of the converter

00:50:29.590 --> 00:50:31.900 align:middle line:84%
just like it's a
normal PWM converter.

00:50:31.900 --> 00:50:34.750 align:middle line:84%
So I'm adding an
auxiliary circuit

00:50:34.750 --> 00:50:36.610 align:middle line:84%
comprising the green
and orange circuit

00:50:36.610 --> 00:50:38.980 align:middle line:84%
to let me operate the
regular circuit just

00:50:38.980 --> 00:50:40.990 align:middle line:90%
like a normal PWM converter.

00:50:40.990 --> 00:50:44.630 align:middle line:84%
And that's a whole category of
switch capacitor converters.

00:50:44.630 --> 00:50:47.190 align:middle line:84%
How do I augment my
normal PWM design

00:50:47.190 --> 00:50:49.600 align:middle line:84%
so that it also gives
me soft switching

00:50:49.600 --> 00:50:54.830 align:middle line:84%
and I can get either a higher
efficiency or higher frequency?

00:50:54.830 --> 00:50:57.180 align:middle line:90%
Any final questions for today?

00:50:57.180 --> 00:50:57.680 align:middle line:90%
Yeah.

00:50:57.680 --> 00:50:58.452 align:middle line:90%
Laurie.

00:50:58.452 --> 00:51:00.785 align:middle line:84%
STUDENT: What would be the
losses on the orange circuit?

00:51:00.785 --> 00:51:02.300 align:middle line:90%
Is that the same thing?

00:51:02.300 --> 00:51:03.690 align:middle line:90%
PROFESSOR: Yes, it is.

00:51:03.690 --> 00:51:07.580 align:middle line:84%
I mean, he is taking
the full peak current

00:51:07.580 --> 00:51:10.950 align:middle line:84%
and he's operating into the
full high output voltage.

00:51:10.950 --> 00:51:15.150 align:middle line:90%
And so it's not negligible.

00:51:15.150 --> 00:51:17.000 align:middle line:84%
But if you do it
right, it's a lot less

00:51:17.000 --> 00:51:19.080 align:middle line:84%
than your original
high power circuit was.

00:51:19.080 --> 00:51:21.432 align:middle line:90%
So he's got high peak power.

00:51:21.432 --> 00:51:23.390 align:middle line:84%
You can optimize the
orange circuit differently

00:51:23.390 --> 00:51:25.070 align:middle line:90%
than the white circuit.

00:51:25.070 --> 00:51:29.760 align:middle line:84%
And it will overall be better
but it's not negligible loss.

00:51:29.760 --> 00:51:32.280 align:middle line:84%
You still have to
think about it.

00:51:32.280 --> 00:51:32.780 align:middle line:90%
OK.

00:51:32.780 --> 00:51:35.980 align:middle line:90%
We will take this up next class.

00:51:35.980 --> 00:51:42.000 align:middle line:90%