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V1 4 0 PULSE 0 32 C1 3 0 6.8U C4 3 5 33U R4 5 0 1 .END
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MPP Inductors The previous example utilized ideal inductors. In real applications, however, the inductors generally do not provide a constant inductance. Rather, they tend to saturate as current is passed through them. One of the more popular cores used in these applications is Magnetics MPP style. Using MPP cores for our EMI lter provides a more realistic model than the ideal inductor model. The following simulations use a Magnetics 55131 core with 29 turns for the 15- H inductor and a Magnetics 55121 core with 36 turns for the 37- H inductor (Fig. 3.14). DC resistances are 0.035 and 0.025 , respectively. Note the third terminal on the inductor symbol. The extra terminal is used to monitor the instantaneous inductance value.
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4THINRS3.cir .PROBE .AC DEC 10 100 1meg .TRAN .1u 500u 0 .5u C2 2 3 68U C3 2 0 14U R1 3 0 1 C4 1 7 33U R2 1 0 10MEG R3 2 0 10MEG R4 7 0 1 I1 0 2 AC=1 ; DC=-4.5 used for Figure 3.16 X1 6 1 8 MP55131 Params: N=29 DCR=.035 IC=0 X2 1 2 9 MP55121 Params: N=36 DCR=.035 IC=0 V1 4 0 PULSE 0 32 V2 4 6 C1 1 0 6.8U .END
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This simulation also calculates the attenuation and impedance of the lter without DC current using the AC analysis (Fig. 3.15). If we add a DC current value of 4.5 A (100 W/22 V), we will see the data for the lter as it operates under full load conditions. The inductance of each MPP core can be monitored using markers as the simulation progresses. The schematic will provide the values at the steady state condition. If we view the inductance, we will see the value of inductance during the inrush current.
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X1 MP55131
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Inductance1
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X2 MP55121
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Vout I1 AC = 1
C1 6.8U C4 33U R4 1
R2 10MEG C3 14U R1 1
C2 68U
R3 10MEG
50uV
25uV
0V V(8) 100 V(9)
25 SEL>> 0 0s V(2)
50us I(V2)
100us
150us
200us
250us Time
300us
350us
400us
450us
500us
Figure 3.14 A more realistic simulation using MPP cores for EMI lter design. The instantaneous inductance is shown for both MPP cores (top graph) and for the input current and output voltage.
The rst simulation in Fig. 3.14 showed the results of the simulation without DC current. As you can see, the inrush current is considerably higher than the value we expected in the rst simulation. This is due to the saturation of the inductors. The waveforms in Fig. 3.14 show the inductance during the inrush current. The input inductor is almost completely saturated by the inrush current. The inductance value in the schematic is somewhat higher than the design value. The second simulation in Figs. 3.16 and 3.17 shows the results of the simulation with a DC value of 4.5 A added to the current source I1. The current is negative because of the direction of the current source. The inductor values are almost identical to the design values. The inrush current analysis has not been performed, because it is unrealistic
Three
Attenuation in dB (Amps)
x 100.0K < -83.9
100K
Frequency in Hz
Simulation result of the attenuation without a DC current.
to have the 4.5-A current owing when the converter is turned on. The attenuation analysis was performed, and the results are shown in Fig. 3.17. The attenuation has been degraded by approximately 4 dB as a result of the DC current; however, it is still suf cient to meet the 77-dB requirement.
X1 MP55131
Inductance1
X2 MP55121
Inductance2
Vout I1 AC = 1 -4.5
C1 6.8U C4 33U R4 1
R2 10MEG C3 14U R1 1
C2 68U
R3 10MEG
A realistic model using MPP cores with a 4.5-A steady state current.
EMI Filter Design
Attenuation in dB (Amps)
x 100.0K < -83.9
100K
Frequency in Hz
Effect of the DC current on the attenuation analysis.
The inrush current simulation is one of the most dif cult simulations to correlate with real hardware. This is generally due to the effects of the source impedance of the test setup. Keep in mind that the power supplies and cables have resistance and inductance. The SPICE model must account for these elements, or they must absolutely be minimized. With this in mind, it is certainly feasible to get good correlation with a little care. The example circuit in Fig. 3.18 was constructed for the purpose of determining the accuracy of the model. The 28.8- H input inductor is constructed as 24 turns on a 58271 core, and the two 25.1- H inductors are constructed as 28 turns on two stacked 58291 cores. The results are shown in Figs. 3.19 and 3.20. The inductance of these two inductors is shown in Fig. 3.18. Note that the input inductor drops by more than 60% as a result of the inrush current.
emi inrush correlation.cir .PROBE .TRAN 10n 250u 0 50n C2 10 11 3U C3 9 2 1U R1 11 0 4.99 R2 2 0 4.99 C4 9 0 1U X1 9 7 3 MP58291 Params: N=28 DCR=.13 IC=0
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