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Inductive Power Transfer
Presenter: Dr Siu-Chung Wong
Department of Electronics and Information EngineeringThe Hong Kong Polytechnic University
Innovative Technology SeriesWorkshop 6
1
4. Transformer
5. Control6. Design Example
1. Introduction
2. Basic Analysis
3. CompensationNetwork
Part 1:Introduction
2
Electric Power Transfer
Potentially not safe!
Conventional method:
• Metal Conductor Soldering
• Electrical Plug and Socket
• Brush Metal Contact
Introduction
3
Conventional Wireless
Introduction
4
5
Roadmap of WPT
t(year)1891
Tesla Coil
2007
MIT, lighten a 60 W lamp 2 m away
1831
Faraday,
Law of induction1894
First
patent
2008
WPC established
A4WP & PMA merge
WPC wireless charging standard Qi
2010
2010 commercialized
2015
2013SAE “J2954” for EV/PHEV
IEC61580Communication standard for EV
20141964,1968
Micro wave WPT
1978
H. J. G. Bolger, F. A. Kirsten and L.S. Ng, “Inductive power coupling for an electric highway system,” Vehicular Technology Conference, Vol.28, pp.137-144, March 1978
1980s
1987—SHARP microwave airplane1989-1996USA PATH
1987—implant
1980—Brush replacement
1990s
1996-EV1,SAE J1773HF IPT charging of EV
WPT classification
Long or very long distance
Can penetrate metal, very short distance, high frequency and lower power
CapacitiveInductive-
inductive and resonant
Inductive—Lower frequency,wider power
Resonant—Higher frequency, longer distance
Long Range —Laser/Microwave
6
Capacitive coupling
Input voltage: 340V
Output voltage: 196V
Output current: 5.21A
Frequency: 540KHz
Efficiency: 83%
Air gap: 100um
Wireless Electric Vehicle Charging via Capacitive Power Transfer Through a Conformal BumperJiejian Dai , Daniel C. Ludois , APEC 2015
7
8
—— Occupy a lot of space
—— higher loss
WPT – Long Range
—— Safety issue
9
WPT Inductive Power Transfer
IPT
2010……2000 2007 2008 2009 Now
Germany Wampflertrack IPT
Splashpower
WiPower
Seiko 0.5WIPT charger
Mojo Mobilitycoils
Seiko
2.5 WIPT
Japan
Airplane
IPT
Fulton InnovationIPT
东光 IPT
PowermatJapan HanedaAirport BusIPT
10
Less sensitive to transformer misalignment
High frequency operation
MIT Intel
Japan WPT
USA
SonyWPT
海尔“ 无尾” 电视
20102007 2008 2009 Now
Magnetic ResonantWPT
WPT Inductive Power Transfer
Safety Issue
Cardiac Pacemaker
Artificial HeartHomeMedical EV charger
WPT application
Industry
11
Transmit
Reflect
Underground pipe dection
3M—under ground positioning 0.6m-2m
HV
IoT power
Nina M. Roscoe and Martin D. Judd. Harvesting Energy from Magnetic Fields to Power Condition Monitoring Sensors[J]. Sensors Journal, IEEE ,2013:3
WPT application
12
First international IPT standard;
Established from City University Hong Kong
then the WPC (wireless power consortium)。
on Sept. 2015,WPC has 217 member。
Qi
Google“Nexus”and Nokia“Lumia”support this standard。
WPT standards
13
Initialized by Duracell Powermat;
on Sept. 2015, A4WP has 150 members including Qualcomm,Samsung,Broadcom and Intel.
Duracell Powermat WiCC card
PMA(Power Matters Alliance)
Rezence (A4WP)merged
Corporations
14
EV charging technology
KIST, KoreaWasedaUniversity Japan
ZTE, China
Gap:26cm
Power:5*20kW
Efficiency:80%~85%
Announced:2013
Gap:10cm
Power:30kW
Efficiency:92%
Announced:2011
Gap:20cm
Power:30kW
Efficiency:92%
Announced:2014
15
QualcommIdaho National Laboratory, USA
Witricity
Gap:
Power:7.2kW
Charging Time:1hour
Announced:2015
Gap:11cm
Power:3.3kW
Efficiency:89.2%
Announced:2013
Operating frequency:85kHz
Power:2kW
Charging Time:1.5 hours
Announced:2014
EV charging technology
16
Installation
ABB(Geneve Airport and Palexpo convention center),15second charging at 400 kW,from top of the bus.
17
Wireless Power Transfer System
18
Inverter Rectifier
VCObufferFilterF/Vconverter
Controller
Driver
Circuit
VO
Gap
Primary Secondary...
Battery
pack
PFCCircuitSingle or
Three phase
~
Secondary
Feedback circuit VTI
M
Critical Technology
WPTTechnology
A
F
B
C
G
Electromagnetic compatibility
Transformer Coupling
E DCircuit Theory and Power ElectronicsSafety
Material
Communication
Control
19
Inverter Rectifier
VCObufferFilterF/V
converter
Controller
DriverCircuit
VO
Gap
Primary Secondary...
Battery
pack
PFCCircuitSingle or
Three phase
~
Secondary
Feedback
circuit VTI
M
IPT systemPrimary
Secondary
Gap
Inductances compensation
Optimization of TransformerOptimization of Transformer
Tactic:
Small Coupling Coefficient
Large parameter variation
Effective control
20
Critical Technology
Part 2:Basic Analysis
21
4. Transformer
5. Control
6. Design Example1. Introduction
2. Basic Analysis
3. CompensationNetwork
Inverter Rectifier
VCObufferFilterF/V
converter
Controller
DriverCircuit
VO
Gap
Primary Secondary
...
Battery
pack
PFCCircuitSingle or
Three phase
~
Secondary
Feedback
circuit VTI
M
Transformer Model
Transformer model
Coupling
22
Transformer Equivalent Model
Coupling Model Three parameter model
* *
'ML
'LL
'1: n''ML
''LL
''1: n
Leakage inductance model
'
2' 1 2
2'
S
L S M L P SL
S S
MS
Ln
ML L L L L L M
LL L
MLL
''
2''
''
P
L SP
M P
MnL
ML LL
L L
12
2
P L M
S L M
P S
L L LL L n L
kML L
n: Turns ratio
Equivalent n
23
Part 3:Compensation network
24
4. Transformer5. Control
6. Design Example
1. Introduction
2. Basic Analysis
3. CompensationNetwork
Why compensation?
Primary Windings
Secondary Windings
Gap
Large leakage inductance and small mutual inductance
Improve input power factor Reduce device rating Improve power transfer Improve efficiency Reduce sensitivity to transformer parameter variation
25
Circuit
InverterCompensation Rectifier LoadPower source Filter
C Filter LC Filter
SecondaryPrimary
Voltage source input Current source input
26
Primary circuit
Voltage source input Current source input
vAB +Capacitor clamped
Capacitor clamped
27
RE
Secondary Circuit
Phase of ORv2iand are identical,like a resistor。
C filter,output voltage assumed constant
LC filter,output current assumed constant
o oOS o
E L2 22 2
4 4sin( ) 8 8sin( )
2
V t Vv VR R
i I t II
Equivalent load resistor:
28
RE
OUTPUT EQUIVALENT
RESISTANCE
C filter,output voltage assumed constant
LC filter,output current assumed constant
E L2
8R R
2
E L8R R
29
System Simplification
Squarevoltage
Squarecurrent
30
Resonant Compensation
Series resonant
Parallelresonant
Voltage across L C compensated to zero。When high Q,voltages across L and C can be higher than the input。
1L LQR R C
Current flow through L and C cancelled out。
31
Secondary Capacitor Compensation
Parallel Series
Reflected Zr:2 2
rS
MZZ
Power transfer capability: 2 ReP rP I Z
Compensation Re(Zr) Im(Zr) Comment
Series 0 Im(Zr)=0
Parallel Capacitive load independent Im(Zr)
2 2
E
MR
2
2E
S
M RL
2
S
ML
1
S SL C
Primary current: A BP
P r
VIj L Z
32
Parallel
If Ip constant
Series
Output current is load independent
LS
jωMIP
iS
+
−
C
RE
vOS
i2
Output voltage is load independent
Can have load independent output.
33
Secondary Capacitor Compensation
Series Parallel
Suitable for driving large value LPto minimize input driving voltage.
Suitable for driving high winding current to minimize input current.
We need primary and secondary compensations
34
Primary Capacitor Compensation
Primary and Secondary Compensations
35
36
Primary and Secondary Compensations
S/P voltage gain
P/P current gain P/S current gain
Resonant at 40 kHzS/S voltage gain
37
Primary and Secondary Compensations
S/S Compensation
Resonant
Input inductive,current circulating loss Load independent output voltage
Low input resistance,small reactance
Resonant
Load independent current output Need open circuit protection
AB Ejv RM
2 2
E
MR
S
H
Even worse at light load
38
S/S compensation
Huh, J.; Lee, S.W.; Lee, W.Y.; Cho, G.H.; Rim, C.T., "Narrow-Width Inductive Power Transfer System for Online Electrical Vehicles," in Power Electronics, IEEE Transactions on , vol.26, no.12, pp.3666-3679, Dec. 2011
Output voltage 408V,output current 66.2A
39
S/S Compensation Example
Sallan, J.; Villa, J.L.; Llombart, A.; Sanz, J.F., "Optimal Design of ICPT Systems Applied to Electric Vehicle Battery Charge," in Industrial Electronics, IEEE Transactions on , vol.56, no.6, pp.2140-2149, June 2009
S/S uses less copper
40
Output voltage 408V,output current 66.2A
S/P Compensation
vAB
C1 LL’
vOSLM’ C3
1:n+
−
+
−
RE
' SLnM
L model output needs short circuit protection Input zero phase angle
Output load independent
vAB vOS
1:n+
−
+
−
RES
PLL control may fail due to high Q at light load
00.40.81.21.6
22.42.83.23.6
4
20kHz 30kHz 40kHz 50kHz 60kHz
RE=50
RE=200
RE=400
Vol
tage
gain
Inpu
t pha
se a
ngle
C1 design for voltage gain,C3design for phase angle
41
S/P Compensation Example
Kobayashi, K.; Yoshida, N.; Kamiya, Y.; Daisho, Y.; Takahashi, S., "Development of a non-contact rapid charging inductive power supply system for electric-driven vehicles," in Vehicle Power and Propulsion Conference (VPPC), 2010 IEEE , vol., no., pp.1-6, 1-3 Sept. 2010
Frequency 22 kHz
42
P/P Compensation
Input must be a current
LS REC2P
S
MIL
1
1
Ij C
2SM L
2
2E
S
M RL
1
1
Ij C
2
2E
S
M RL
RE1
1
S
E
L Ij MC R
Load independent output voltage
Input capacitive
S
43
P/P Compensation Example
Chwei-Sen Wang; Stielau, O.H.; Covic, G.A., "Design considerations for a contactless electric vehicle battery charger," in Industrial Electronics, IEEE Transactions on, vol.52, no.5, pp.1308-1314, Oct. 2005
Power:300W,primary current 15A,20kHz,load 6Ω,k=0.45,QS=1.77
44
P/S Compensation
Input must be a current sourceLP
jωMIP
M
vAB
+
–
–jωMIS+
−
+
−
C1
LS
RE
C2i1
1
1
Ij C
Load independent current output
Input capacitive
1
1
Ij C
2 2
E
MR
12
1
ER IMC
S
45
1
1
Ij C
1
1
Ij C
2 2
E
MR
12
1
ER IMC
Current input Input capacitive
S
* *
Load independent current output
'
P
MnL
* *
P
21 21 1P P SL C L M C
C1 design for transfer function,C2 design for input phase angle
Input zero phase angle
46
P/S Compensation
S/S Compensation optimizationLoad independent output and high efficiency
Primary Secondary
Efficiency
set Optimum frequency for maximal efficiency
Wei Zhang; Siu-Chung Wong; Tse, C.K.; Qianhong Chen, "Design for Efficiency Optimization and Voltage Controllability of Series–Series Compensated Inductive Power Transfer Systems," Power Electronics, IEEE Transactions on , vol.29, no.1, pp.191,200, Jan. 2014
47
Efficiency at ωM:
Efficiency maximized at QO1
Efficiency increase with decreasing QO
Wei Zhang; Siu-Chung Wong; Tse, C.K.; Qianhong Chen, "Design for Efficiency Optimization and Voltage Controllability of Series–Series Compensated Inductive Power Transfer Systems," Power Electronics, IEEE Transactions on , vol.29, no.1, pp.191,200, Jan. 2014
48
S/S Compensation optimizationLoad independent output and high efficiency
When λ<1/3 (k<0.577), near load QO1,ωM andωSare nearly identical
replaceωM withωS
ωS is load independent
Efficiency at ωS and ωM
When QP=QS
With a known load,design a transformer such that ωM ≈ ωS to have maximum efficiency
Wei Zhang; Siu-Chung Wong; Tse, C.K.; Qianhong Chen, "Design for Efficiency Optimization and Voltage Controllability of Series–Series Compensated Inductive Power Transfer Systems," Power Electronics, IEEE Transactions on , vol.29, no.1, pp.191,200, Jan. 2014
49
S/S Compensation optimizationLoad independent output and high efficiency
S/S compensation voltage gain:
Frequencies:
Wei Zhang; Siu-Chung Wong; Tse, C.K.; Qianhong Chen, "Design for Efficiency Optimization and Voltage Controllability of Series–Series Compensated Inductive Power Transfer Systems," Power Electronics, IEEE Transactions on , vol.29, no.1, pp.191,200, Jan. 2014
50
S/S Compensation optimizationLoad independent output and high efficiency
Load independent |Gv|
Maximum Eff.
Operating freq. ωH ωM ≈ ωS (λ<1/3)
ωH cannot be ωS
CS design for efficiency
CP design for efficiency,such that ωH close toωS
Wei Zhang; Siu-Chung Wong; Tse, C.K.; Qianhong Chen, "Design for Efficiency Optimization and Voltage Controllability of Series–Series Compensated Inductive Power Transfer Systems," Power Electronics, IEEE Transactions on , vol.29, no.1, pp.191,200, Jan. 2014
51
S/S Compensation optimizationLoad independent output and high efficiency
CP=1.1CPn CP=1.3CPn
100k 125k 150k 175k 200k0
0.2
0.4
0.6
0.8
1ηT
Frequency
0
0.4
0.8
1.2
1.6
2
|Gv|
100k 125k 150k 175k 200k0
0.2
0.4
0.6
0.8
1ηT
Frequency
0
0.4
0.8
1.2
1.6
2
|Gv|
Define :
Design Cp makingωH closer toωS to have a higher efficiency
maximize efficiency of S/S compensated converter to have load
independent output
Wei Zhang; Siu-Chung Wong; Tse, C.K.; Qianhong Chen, "Design for Efficiency Optimization and Voltage Controllability of Series–Series Compensated Inductive Power Transfer Systems," Power Electronics, IEEE Transactions on , vol.29, no.1, pp.191,200, Jan. 2014
52
S/S Compensation optimizationLoad independent output and high efficiency
AB Ejv RM
2 2
E
MR
If a constant output current is needed,S/S compensation should operate at ωS. Proper output open circuit protection should be given.
53
S/S Compensation optimizationLoad independent output and high efficiency
Realization of Load Independent Output
LS
jωMIP
iS
+
−
C
RE
vOS
i2
Voltage source output Current source output
54
LP LS
-jωMIS jωMIP
ip isM
+
−
+
−vOS
+
-
C1LrAB
r
vj L
Realization of Input Current
Primary side LCL compensation
vAB
LP LS
-jωMIS jωMIP
ip isM
+
−
+
−vOS
+
-
Secondary
Compensation
C1
Lr
+
−
Norton E
q.
LP LS
-jωMIS jωMIP
ip isM
+
−
+
−vOS
+
-
AB
r
vj L
55
Primary and Secondary LCL Compensation
IT is load independent and so is IO
Suitable for multiple secondary windings application
LCL need external indicator as large as LM,lower system power density.
56
LCC COMPENSATION
Lf CP
LP’
-jωMIS
ip
ieq
Minimize ' 211P P SL L C
211
ABeqv
P S
VIj L C
Compared with LCL compensation,LCC compensation can have higher injected current.
Esteban, B.; Sid-Ahmed, M.; Kar, N.C., "A Comparative Study of Power Supply Architectures in Wireless EV Charging Systems," Power Electronics, IEEE Transactions on , vol.30, no.11, pp.6408,6422, Nov. 2015
57
1
1 1
1iS
CQC C
Current gain (normally less than 3 due to magnetics):
Siqi Li; Weihan Li; Junjun Deng; Nguyen, T.D.; Mi, C.C., "A Double-Sided LCC Compensation Network and Its Tuning Method for Wireless Power Transfer," Vehicular Technology, IEEE Transactions on , vol.64, no.6, pp.2261,2273, June 2015
Parallel capacitor Cf reduce inductance Lf; Load independent current output;
58
LCC COMPENSATION
LCC COMPENSATION-INTEGRATED
Weihan Li; Han Zhao; Siqi Li; Junjun Deng; Tianze Kan; Mi, C.C., "Integrated LCC Compensation Topology for Wireless Charger in Electric and Plug-in Electric Vehicles," Industrial Electronics, IEEE Transactions on , vol.62, no.7, pp.4215,4225, July 2015
Coupling Circuits
Magnetic coupling can improve power density。
59
Weihan Li; Han Zhao; Siqi Li; Junjun Deng; Tianze Kan; Mi, C.C., "Integrated LCC Compensation Topology for Wireless Charger in Electric and Plug-in Electric Vehicles," Industrial Electronics, IEEE Transactions on , vol.62, no.7, pp.4215,4225, July 2015
Coupling Equivalent
Matching:
60
LCC COMPENSATION-INTEGRATED
SP/S Compensation
Villa, J.L.; Sallan, J.; Sanz Osorio, J.F.; Llombart, A., "High-Misalignment Tolerant Compensation Topology For ICPT Systems," Industrial Electronics, IEEE Transactions on , vol.59, no.2, pp.945,951, Feb. 2012
Primary series compensation Primary parallel compensation
vAB
+
-
CP
LP LS
-jωMIS jωMIP
ip isM
+
−
+
−
2 21in P P
P S
MZ j L Rj C Z
2 2
11in
P
P PS
Zj C
Mj L RZ
Primary series compensation Primary parallel compensation
IP increases,can be over current. Ismay also increases. IP decreases,so as Is.
Misalignment, coupling reduced
combine
61
Villa, J.L.; Sallan, J.; Sanz Osorio, J.F.; Llombart, A., "High-Misalignment Tolerant Compensation Topology For ICPT Systems," Industrial Electronics, IEEE Transactions on , vol.59, no.2, pp.945,951, Feb. 2012
Load power
Input power
原边串联电容将虚部补偿掉。
62
SP/S Compensation
Villa, J.L.; Sallan, J.; Sanz Osorio, J.F.; Llombart, A., "High-Misalignment Tolerant Compensation Topology For ICPT Systems," Industrial Electronics, IEEE Transactions on , vol.59, no.2, pp.945,951, Feb. 2012
Input zero phase angle;
Insensitive to misalignment。
Input resistance change with output load。
63
SP/S Compensation
'
1
1lL
C
2 '
2
1Mn L
C
S/S AND S/P COMPENSATION
i1 i2
vAB
+
- RE
vOS
+
-
1:n
LM
* *
11
1lL
C
22
1lL
C
Input inductive
Voltage gain a function of n and k
S/S compensation
S/P compensation
'2
1S P
S
L LnnM k L n
(假设 )
Input resistive
Voltage gain a function of n only
Hou Jia,Chen Qianhong,Wong Siu-Chung,Tse Chi. K.,Ruan Xinbo.Analysis and control of series/series-parallel compensated resonant converter for contactless power transfer[J].IEEE Journal of Emerging and Selected Topics in Power Electronics,2015,3(1):124-136.
64
Compensation:
Voltage gain a function of n only
Input resistive
vAB
vLMC1 C2LL1 LL2
vOSLM C3
1:n
Z1 Z2
+
−
+
−
RE
22
1 1 2 2 3
1 1 1
l l ML C L C n L C
Hou Jia,Chen Qianhong,Wong Siu-Chung,Tse Chi. K.,Ruan Xinbo.Analysis and control of series/series-parallel compensated resonant converter for contactless power transfer[J].IEEE Journal of Emerging and Selected Topics in Power Electronics,2015,3(1):124-136.
65
S/SP COMPENSATION
2
3 1 3 1 23
1 2
8v
M M
M M E
nGj C Z Z Z j L Z j L
j L j C C L R
Voltage gain
4 2 2 2= ( )+ ( ) 1p s M p s p p s sC C n L L L L C L C
=0,gain becomes load independent
Voltage gain at
2
3 1 3 1 2
8
1v i
i M
M
nGC Z Z Z j L Z
L
If 0,gain becomes LMindependent
L1 1 L2 2
1 1i L C L C
Finally: 28
v iG n
Input impedance2 2
in P1
S2 3
11 1 || E
MZ j Lj C j L R
j C j C
Input impedance at : M E
in 2 2 2M 3 E M1i
j L RZn L C R j n L
If 0, then a pure
resistorE2
Rn
2M 3
1n L C
66
S/SP COMPENSATION
20 30 40 50 60fs(kHz)
0
2
4
6
8
10
Gv
fH_kmax40k
fL_kmax23.7k
Resonant frequency fr = 40 kHz
Compensation capacitor C1 = 48.89nF, C2 = 44.2nF, C3 = 51.4nF
Transformer parameter
10 cm: kmax = 0.475, Ll1 = 324.967 , Ll2 = 362.56 , LM = 310.948 20 cm: kmin = 0.231, Ll1 = 435.275 , Ll2 = 462.95 , LM = 134.85
RL RLmin = 100 Ω, RLmid = 400 Ω, RLmax = 800 Ω
Constant freq.control
67
S/SP COMPENSATION
Fundamental approximation is not able to keep up with the accuracy. 。
Lot of higher harmonics
68
S/SP COMPENSATION
Higher Harmonic Equivalent Circuit
_4 in
AB mV
Vm
Input voltage:
2 _4 o
mI
Im
Output current:
69
m=3,5,7,9,…: _
_
LM m
AB m
Vk
Vm=1: _1 _1LM ABV V
Voltage across LM
sine square
_11 sinLM AB s ABv t k V t kv t
Secondary current
m=1: _1 _1 3_1
1S AB r
E
I nV j CZ
m=3,5,7,9,…: _ 0S mI
_1 1sinS S si t I t sine
70
Higher Harmonic Equivalent Circuit
_4 in
AB mV
Vm
Input voltage:
2 _4 o
mI
Im
Output current:
MLi
Waveforms of Resonant Circuit
_11 sinLM AB s ABv t k V t kv t
sine square
_1 1sinS S si t I t sine
71
Output Waveforms
Harmonic current and voltage
Output current harmonics
72
Experimental Comparisons
Po =1.5 kW
39.2kHz
Po =0.8 kW
Input current Voltage across parallel capacitor
73
Result from calculation with higher harmonics
Experimental result
Result from calculation with Fundamental approximation
0.74
0.76
0.78
0.8
0.82
300 500 700 900 1100 1300 1500Po(W)
Gv
200
74
S/SP COMPENSATION
Switching of Series or Parallel Compensation on the Secondary Side
Battery charging needs two stages:
Constant Current,until battery reach a voltage level,Constant voltage,until current diminishing to nearly none.
Constant voltage , S1 and S2 open, S3 connects RL to L2,forming a S/Scompensation,Ls = L1 + L2(dotted blue)
Constant current , S1 and S2 close, S3 connects RL in parallel with Cssp ,forming a S/P compensation, Ls = L1。(solid red)
Auvigne, C.; Germano, P.; Ladas, D.; Perriard, Y., "A dual-topology ICPT applied to an electric vehicle battery charger," Electrical Machines (ICEM), 2012 XXthInternational Conference on , vol., no., pp.2287,2292, 2-5 Sept. 2012
75
DYNAMIC TUNING
a Soft-Switched Variable Inductorinside the resonant circuit
Hu, A.P.; Hussmann, S., "Improved power flow control for contactless moving sensor applications," Power Electronics Letters, IEEE , vol.2, no.4, pp.135,138, Dec. 2004. doi: 10.1109/LPEL.2004.841311
When there are variation of parameters, such as load, coupling and driving frequency,system compensation may deviate from optimal point.
76
Z. Pantic and S. M. Lukic, “A new tri-state-boost-based pickup topology for inductive power transfer applications,” in Proc. IEEE Energy Convers. Congr. Expo., Phoenix, AZ, Sep. 2011, pp. 3495–3502.Pantic, Z.; Lukic, S.M., "Framework and Topology for Active Tuning of Parallel Compensated Receivers in Power Transfer Systems," Power Electronics, IEEE Transactions on, vol.27, no.11, pp.4503,4513, Nov. 2012
Use extra inductor or capacitor;Need bidirectional current switch;Discrete alteration of Capacitance or
inductance.
Three mode boost inductor secondary compensation
freewheeling period
77
DYNAMIC TUNING
Part 4:Transformer Optimization
78
5. Control6. Design Example
1. Introduction
2. Basic Analysis3. Compensation
Network
4. Transformer
79