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60.0m
70.0m Time in Secs
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90.0m
Three-phase delta-wye recti er lter waveforms.
Power Factor Correction
The requirements of EN61000-3-2 dictate a much higher power factor and reduced harmonic content. These requirements are generally met by use of active power factor correction. Active power factor correction utilizes electronics to force the input current to look like a re ection of the input voltage (i.e. resistive). The result of this type of correction typically results in power factor of greater than 0.98 and harmonic distortion of less than 3%.
L3 1m
X4 KBPC 808
3 32
X3 XFMR RATI O = .1 5
Y9 V1 Tran Generators = SIN
C7 .47u
R3 1m
L1B 100u
IV3 V3 vout
D2 40EPS 08
C2 2500u
C1 2500u
R2 7.5
V1 0
R10 4.7
R4 20m
R5 20m
X1 IRFBC30
Flyback PFC Transient.Cir .PROBE .TRAN 1U 20m 0 5u UIC .FOUR 60 I(V1) R2 vout 0 7.5 R3 3 32 1m L1B 2 32 100u V4 2 10 X1 10 6 0 IRFBC30 D2 1 11 40EPS08 V1 7 19 DC=163 SIN 0 163 60 C2 vout 13 2500u IC=28 C1 vout 14 2500u IC=28 V3 11 vout R4 13 0 20m R5 14 0 20m X4 8 19 3 0 KBPC808 X3 32 2 0 1 XFMR Params: RATIO=.15 C7 8 19 .47u L3 7 8 1m V9 5 0 PULSE 0 12 0 .01u .01u 4u 10u R10 5 6 4.7 .END
Discontinuous yback power factor corrector and netlist.
Eight
Discontinuous Flyback Power Factor Corrector The discontinuous yback converter is the simplest topology that can be used to provide power factor correction. The peak input current of the discontinuous yback converter, with a xed duty cycle and xed
product
i(l3)
difference 4
Input Voltage=115.26 Vrms
2 difference in volts
product in watts
Plot1 i(l3) in amperes
Input Current=.955 Arms
Input Power =110W
-4.00 0 -720
2.00m
6.00m
10.0m Time in Secs
14.0m
18.0m
FOURIER COMPONENTS OF TRANSIENT RESPONSE I(V1) DC COMPONENT = -3.182485E-04 HARMONIC NO 1 2 3 4 5 6 7 8 9
FREQUENCY (HZ) 6.000E+01 1.200E+02 1.800E+02 2.400E+02 3.000E+02 3.600E+02 4.200E+02 4.800E+02 5.400E+02
FOURIER COMPONENT 1.351E+00 7.732E-05 6.267E-03 4.218E-04 5.012E-03 1.544E-04 2.933E-03 1.761E-04 2.073E-03
NORMALIZED COMPONENT 1.000E+00 5.725E-05 4.640E-03 3.123E-04 3.711E-03 1.143E-04 2.171E-03 1.304E-04 1.535E-03
PHASE (DEG) -1.070E+02 9.343E+01 -1.408E+02 -8.227E+00 -8.097E-01 -1.407E+02 1.147E+02 -5.726E+01 -9.416E+01
NORMALIZED PHASE (DEG) 0.000E+00 3.074E+02 1.801E+02 4.197E+02 5.341E+02 5.012E+02 8.636E+02 7.986E+02 8.687E+02
TOTAL HARMONIC DISTORTION = 6.519727E-01 PERCENT Discontinuous yback power factor corrector waveforms and Fourier results.
Power Factor Correction
L3 1m
InputCurrent
X4 KBPC808
X2 FLYBACK
FLYBACK
D2 40EPS08
VOUT
L4 1u
vout Vout C1 500u
C7 .47u
R3 1m
DUTY
19 Tran Generators = SIN
X3 XFMR RATIO = .15
C2 500u
R1 1m
R4 20m
E1 1k
R5 20m V8 28
V2 .41
Flyback PFC State Space.Cir .TRAN 2u 20m 0 UIC .PROBE .OPTION ITL4=2500 GMIN=1n ABSTOL=.01u VNTOL=10u RELTOL=.01 .FOUR 60 I(V1) X2 5 0 6 32 2 FLYBACK Params: L=100u NC=1 F=100k EFF=1 RB=1m E1 6 0 9 2 1k R3 3 5 1m D2 1 11 40EPS08 V1 7 19 DC=163 SIN 0 163 60 C2 12 13 500u ; IC=50 R1 vout 4 1m L4 12 vout 1u C1 vout 14 500u V3 11 12 R4 13 0 20m R5 14 0 20m X4 8 19 3 0 KBPC808 V2 9 0 DC=.41 X3 32 0 1 0 XFMR Params: RATIO=.15 C7 8 19 .47u L3 7 8 1m V8 4 0 DC=28 .END
State space yback power factor corrector schematic and netlist.
frequency, is de ned by Ipk = Vin ton Lpri
And the average current is related to the peak current as Iavg = Ipk Duty 2
Eight
2 i(v1)
3 difference
Input Voltage=115.29 Vrms
7.00 180
Plot1 Input Current
Input Voltage
3 -220
Input Current=.940 Arms
1.00 -420
-620 2 2.00m 6.00m 10.0m Time in Secs 14.0m 18.0m
Discontinuous yback power factor corrector results.
By substitution, 1 Vin ton Duty 2 Lpri
Iavg =
If Lpri , ton , and duty are all xed, then the average input current is proportional to the input voltage, resulting in an ideal power factor of unity. An example of the yback power factor corrector is shown in Fig. 8.6. The results are shown in Fig. 8.7. The results show unity power factor and 0.652% total harmonic distortion. This is an ideal case and nonlinearities in the inductance, as well as small variations in duty cycle and frequency, will increase the distortion to some degree. However, this is a viable circuit, especially at lower power levels. The limitations are generally related to the poor ratio of peak to average current and utilization of the power transformer. These are the same general issues that arise in the standard yback converter. The yback power factor corrector can also be simulated using state space models as shown in Fig. 8.8. There are a few bene ts to using the state space model, including faster simulation times and the ability to measure the loop gain response.
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