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Switched Mode Power Conversion: Prior Art

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Switched Mode Power Conversion

Prior Art

How was Power Conversion Done


before the Introduction of Electronic Switches?

Switched Mode Power Conversion


Prior Art
DC-DC Converters
A DC Voltage Source of VIN is Available

VIN

Switched Mode Power Conversion


Prior Art
DC-DC Converters
A Resistive Load Requires a Voltage of VO

VO
R

Switched Mode Power Conversion


Prior Art
DC-DC Converters
How to Deliver VO to the Load from
A Source Voltage of VIN?
VIN

VO
R

Switched Mode Power Conversion


Prior Art
DC-DC Converters
Conceptual Solution

VIN

VO
R

Drop the Excess Voltage in a Series Element

Switched Mode Power Conversion


Prior Art
DC-DC Converters
A DC Current Source of IIN is Available
IIN

Switched Mode Power Conversion


Prior Art
DC-DC Converters
A Resistive Load Requires a Current of IO

IO

Switched Mode Power Conversion


Prior Art
DC-DC Converters
How to Deliver IO to the Load from
A Source Current of IIN?
IIN

IO

Switched Mode Power Conversion


Prior Art
DC-DC Converters
Conceptual Solution

IIN
IIN-IO

IO

Divert the Excess Current in a Shunt Element

Switched Mode Power Conversion


Prior Art
DC-DC Converters
Conceptual Solution

VIN

VO
R

Drop the Excess Voltage in a Series Element

Switched Mode Power Conversion


Prior Art
DC-DC Converters
Circuit Model

VIN

RS

IO

VO
R

Drop the Excess Voltage in a Series Resistor

Switched Mode Power Conversion


Prior Art
Selection of RS
VIN
RS = R
1
VO

R
VO = VIN
R + RS

VIN

RS

IO

VO
R

Switched Mode Power Conversion


Prior Art
Efficiency of Power Conversion
PO VO IO VO
=
=
=
PIN VIN IO VIN

VIN

RS

IO

VO
R

At Low Ratio of Conversion is very Poor

Switched Mode Power Conversion


Prior Art
DC-DC Converters
Conceptual Solution

IIN
IIN-IO

IO

Divert the Excess Current in a Shunt Element

Switched Mode Power Conversion


Prior Art
DC-DC Converters
Circuit Model

IIN
RSH

IO

Divert the Excess Current in a Shunt Resistance

Switched Mode Power Conversion


Prior Art
Selection of RSH
R SH
IO = I IN
R + R SH

R
R SH =
( ( IIN / IO ) 1)

IIN
RSH

IO

Switched Mode Power Conversion


Prior Art
Efficiency of Power Conversion
PO VO IO IO
=
=
=
PIN VIN I IN I IN

IIN
RSH

IO

At Low Ratio of Conversion is very Poor

Switched Mode Power Conversion


Prior Art

General Linear Power Converter

Source

RS
VIN

IO
RSH

VO
R

Switched Mode Power Conversion


Prior Art

Shunt Controlled Converter

Source

RS
VIN

IO
RSH

VO
R

Switched Mode Power Conversion


Prior Art

Series Controlled Converter

Source

RS
VIN

IO

VO
R

Shunt Controlled Converter


Sample Design
Zener Regulator

VIN

RS

IZ

IO

VO
R

Shunt Controlled Converter


Sample Design
Zener Regulator

RS
VIN

VO
R

Shunt Controlled Converter


Sample Design
Zener Regulator
RS
VIN

VO
R

Shunt Controlled Converter


Load Line
Zener Regulator
RS
VIN

VO
R

Load Line

Shunt Controlled Converter


Output Voltage
Zener Regulator
RS
VIN

VO
R

V
R

VO
I
IO

Shunt Controlled Converter


Load Variation
Zener Regulator
RS
VIN

VO
R

V
R1

R2

R3

VO
I
IO

Shunt Controlled Converter


No Load & Full Load Lines
Zener Regulator
RS
VIN

VO
R

V
No Load

Full Load

VO
I
IO

Shunt Controlled Converter


Source Line
Zener Regulator
RS
VIN

VO
R

V
VIN
RS

VO
IZ

No Load

Shunt Controlled Converter


Minimum Zener Current
Zener Regulator
RS
VIN

VO
R

V
VIN

Full Load

VO
IZ

IO
IIN

Shunt Controlled Converter


Zener Current Variation
Zener Regulator
RS
VIN

VO
R

V
VIN
RS

VO
IZ
No Load

Full Load

No Load Full Load

IO
I

Shunt Controlled Converter


Typical Operating Point
Zener Regulator
RS
VIN

VO
R

V
VIN
VO

Part Load

RS

IZ
IIN

IO
I

Shunt Controlled Converter


Output Power
Zener Regulator
RS
VIN

VO
R

VIN
VO

RS

IZ
IIN

IO
I

Shunt Controlled Converter


Input Power
Zener Regulator
RS
VIN

VO
R

VIN
VO

RS

IZ
IIN

IO
I

Shunt Controlled Converter


Efficiency
Zener Regulator
RS
VIN

VO
R

VIN
VO

RS

IZ
IIN

IO
I

Shunt Controlled Converter


Design Sequence
Zener Regulator
RS
VIN

VO
R

V
VIN

IZ(min), VIN(min)
2
No Load Full Load

RS

VO
4
IZ(max)

IZ

IO
IZ(min)

1
IO, VO

Switched Mode Power Conversion


Prior Art
DC-DC Converters
Series Controlled Converter

VIN

RS

IO

VO
R

Prior art
Circuit Diagram
Series Controlled Converter

RS
VIN

VO
R

Prior Art
Load Line
Series Controlled Converter
RS
VIN

VO
R

Load Line

Prior Art
Source Line
Series Controlled Converter
RS
VIN

VO
R

VIN
V
Source Line

Prior Art
Output Voltage
Series Controlled Converter
RS
VIN

VO
R

VIN
Source Line

V
VO
Load Line

Prior Art
Control Strategy
Series Controlled Converter
RS
VIN

VO
R

VIN

RS1 RS2 RS3

V
VO

R1 R2 R3

Prior Art
Output Power
Series Controlled Converter
RS
VIN

VO
R

VIN
V
VO

IO

Prior Art
Input Power
Series Controlled Converter
RS
VIN

VO
R

VIN
V
VO

IO

Prior Art
Efficiency
Series Controlled Converter
RS
VIN

VO
R

VIN
VO
=
VIN

V
VO

IO

Prior Art
Losses
Series Controlled Converter
RS
VIN

VO
R

VIN
VO
=
VIN

V
VO

IO

Prior Art
Losses
Series Controlled Converter
RS
VIN

VO
R

VIN
VO
VO
=
VIN

IO

Prior Art
Losses
Series Controlled Converter
RS
VIN

VO
R

VIN
VO
=
VIN

VO
IO

Prior Art
Two Low-Loss Conditions
Series Controlled Converter
RS
VIN

VO
R

VIN
V

RS = 0

RS =

Prior Art
Central Idea of Switch Mode Power Conversion
Series Controlled Converter
RS
VIN

VO
R

VIN
V

S
VIN

RS = 0

VO
R

RS =

Prior Art
Another Version
Series Controlled Converter
VO
VIN

IB

VIN
V IB1 IB3 IB4
VO

IB2
IO

Prior Art
Closed Loop Control
Series Controlled Converter
VO
VIN

IB

VIN

g
JB

V*O

V IB1 IB3 IB4


VO

IB2
IO

Prior Art
Output Voltage
Series Controlled Converter
VO
VIN

IB

VIN

g
JB

V*O

( g(VO* VO ) J B ) R = VO
VO = VO*

V IB1 IB3 IB4


VO

IB2

g R
R
+ JB
1 + g R
1 + g R

VO VO* for g >>> 1

IO

Shunt Controlled Power Converter


Zener Regulated Power Converter
A Sample Exercise

VIN

IIN

RB

IZ

IO

VO
R

Shunt Controlled Power Converter


A Sample Exercise

VIN

IIN

RB

IZ

IO

VO = 10 V ; PO = 10 W ;
R = 10 to 100 ;
VIN = 15 V to 18 V ;
VZ = 10 V, 7 , 1 W Zener ;
= 20 ;
RB = ? ; = ? ;
VO = ? ;

VO
R

Shunt Controlled Power Converter


Load Current
VIN

IIN

RB

IZ

VO

IO

V
Load Current
10 V

I
0.1 A

1A

Shunt Controlled Power Converter


Base Current
VIN

IIN

RB

IO V
O
IB

IZ

Shunt Controlled Power Converter


Base Current
VIN

IIN

RB

IZ

VO

IO

Load Current
10 V

IB

I
0.1 A

1A

Shunt Controlled Power Converter


Selection of RS
VIN

IIN

RB

IZ

VO

IO

RS = 5/0.06 = 83

V
15 V
10 V
VIN(min) 10 mA

50 mA
IB

Load Current

IZ(min)
0.1 A

1A

Shunt Controlled Power Converter


Spread of Zener Current

VIN

IIN

VIN(max
)
18 V

RB

IZ

VO

IO

RS = 5/0.06 = 83

15 V
10 V
VIN(min)

IB

Load Current

IZ(max) IZ(min)
0.1 A

1A

Shunt Controlled Power Converter


Output Power
VIN

IIN

VIN(max
)
18 V

RB

IZ

VO

IO

RS = 5/0.06 = 83

15 V
10 V
VIN(min)

IB

Load Current

IZ(max) IZ(min)
0.1 A

1A

Shunt Controlled Power Converter


Input Power
VIN

IIN

VIN(max
)
18 V

RB

IZ

VO

IO

RS = 5/0.06 = 83

15 V
10 V
VIN(min)

IB

Load Current

IZ(max) IZ(min)
0.1 A

1A

Shunt Controlled Power Converter


Efficiency
VIN

IIN

VIN(max
)
18 V

RB

VO

IO

RS = 5/0.06 = 83

15 V
10 V
VIN(min)

IZ

IB

10 *1.0
= 61%
15*1.1

Load Current

IZ(max) IZ(min)
0.1 A

1A

Shunt Controlled Power Converter


Load Regulation
VIN

IIN

VIN(max
)
18 V

RB

IZ

VO

IO

V
VO = I Z R Z =

15 V
10 V
VIN(min)

IB

0.9
*7 = 0.3V
21

Load Current

IZ(max) IZ(min)
0.1 A

1A

Shunt Controlled Power Converter


Line Regulation
VIN

IIN

VIN(max
)
18 V

RB

IZ

VO

IO

V
VO = I Z R Z =

15 V
10 V
VIN(min)

IB

3.0
*7 = 0.25V
83

Load Current

IZ(max) IZ(min)
0.1 A

1A

Shunt Controlled Power Converter


Line & Load Regulation

VIN

IIN

VIN(max
)
18 V

RB

IZ

VO

IO

15 V
10 V
VIN(min)

0.9 3.0
VO = I Z R Z =
+
*7 = 0.55V
21 83
IB

Load Current

IZ(max) IZ(min)
0.1 A

1A

Shunt Controlled Power Converter


Output Voltage Band

VIN

IIN

VIN(max
)
18 V

RB

IZ

VO

IO

15 V
10 V
VIN(min)

IB

Load Current

IZ(max) IZ(min)
0.1 A

1A

Prior Art
Summary
Series & Shunt Controlled Converters
General Linear Power Converter

Source

RS
VIN

IO
RSH

VO
R

Prior Art
Summary
Series & Shunt Controlled Converters
Simple in Design
Poor Efficiency

Source

RS
VIN

IO
RSH

Loss is Low if RS and RSH are


Replaced with Switches

VO
R

Switched Mode Power Conversion


Central Idea of Loss-less Power Conversion
Switching Converter

Source

VIN

VP

IO

VO
R

Switched Mode Power Conversion


Central Idea of Loss-less Power Conversion
Switching Converter

Source

IIN

IO

VO
R

Switched Mode Power Conversion


What Next?

Devices for Efficient Power Conversion


Switches
Inductors
Transformers
Capacitors

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