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EMI Filter Design
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V(4) C2 CDAMP I1 AC R3 10MEG R1 RDAMP
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1.0V
0.5V
0V 100Hz V(4)
300Hz
1.0KHz
3.0KHz
10KHz Frequency
30KHz
100KHz
300KHz
1.0MHz
Fourth-order lter schematic and impedance response. CDAMPRDAMPMaximum 4.20000e-005 4.20000e-005 4.20000e-005 4.20000e-005 4.20000e-005 4.20000e-005 4.20000e-005 4.20000e-005 4.20000e-005 4.20000e-005 4.20000e-005 4.20000e-005 5.60000e-005 5.60000e-005 5.60000e-005 5.60000e-005 5.60000e-005 5.60000e-005 5.60000e-005 5.60000e-005 5.60000e-005 5.60000e-005 8.00000e-001 1.00000e+000 1.20000e+000 1.40000e+000 1.60000e+000 1.80000e+000 2.00000e+000 2.20000e+000 2.40000e+000 2.60000e+000 2.80000e+000 3.00000e+000 8.00000e-001 1.00000e+000 1.20000e+000 1.40000e+000 1.60000e+000 1.80000e+000 2.00000e+000 2.20000e+000 2.40000e+000 2.60000e+000 2.507 2.215 2.027 2.024 2.083 2.133 2.285 2.458 2.627 2.791 2.950 3.103 1.799 1.716 1.659 1.727 1.820 1.979 2.158 2.334 2.505 2.670
Count 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Three
Maximum inpedance in Ohms
C=42 F
C=56 F
C=70 F
RDAMP
Family of curves showing the maximum impedance of the fourth-order lter.
23 24 25 26 27 28 29 30 31 32 33 34 35 36
5.60000e-005 5.60000e-005 7.00000e-005 7.00000e-005 7.00000e-005 7.00000e-005 7.00000e-005 7.00000e-005 7.00000e-005 7.00000e-005 7.00000e-005 7.00000e-005 7.00000e-005 7.00000e-005
2.80000e+000 3.00000e+000 8.00000e-001 1.00000e+000 1.20000e+000 1.40000e+000 1.60000e+000 1.80000e+000 2.00000e+000 2.20000e+000 2.40000e+000 2.60000e+000 2.80000e+000 3.00000e+000
2.830 2.985 1.512 1.448 1.461 1.582 1.728 1.913 2.093 2.269 2.440 2.606 2.767 2.922
As evident from the data, we could squeak by with the 56- F damper or conservatively use the 70- F value. We will use 68 F, which is the nearest standard value to 70 F. The damper resistance is optimum at 1 . Note: The 1- value includes the ESR of the capacitor, so select the resistor value less than the ESR value of the capacitor. The results of our new lter simulation are shown in Fig. 3.11. The attenuation is very close to the desired 77-dB limit, and the impedance is well below the 3.24- stability requirement. Notice the
EMI Filter Design
Attenuation in dB (Amps)
x 100.0K < -76.4
1K 10K 100K
Frequency in Hz
The lter attenuation using the optimized values for the damper section.
peaking of the undamped rst stage of the lter. The .STEP analysis may be used to determine optimum values for the damper section also, if desired. We will use the same capacitor ratio as we had determined for the second stage. This yields a damper capacitor value of approximately 33 F, and we will use the same 1- value for the damper resistor. While we are at it, let us change the 5.7- F capacitor to 6.8 F in order to obtain a standard value and to slightly improve the attenuation. Notice that the peaking of the rst stage has nearly been eliminated, and the attenuation has been improved to meet the requirement of 77 dB (Fig. 3.12). Inrush Current In many applications, the input voltage is applied as a step. This may be the result of a switch or relay closure. The current that is drawn by the lter during this application of power is referred to as the inrush current. The inrush current may be of concern, because of stress or fuse ratings. We can evaluate the inrush characteristics of our lter by applying a step input from 0 V to the maximum input voltage (32 V in our design) while monitoring the current that is drawn by our lter. Note that we can use the same model for both the AC and transient analyses. The results of the inrush current simulation are shown in Fig. 3.13. The inrush current has a peak value of 34 A. The output voltage
Three
x 3.16K < 1.44
Impedance in Ohms
600M
200M
-200M
100K
Frequency in Hz
Filter attenuation in dB (Amps)
x 100.0K < -79.4
100K
Frequency in Hz
The lter attenuation graph shows the elimination of the peaking in the rst stage after changes in the damper section.
EMI Filter Design
L1 15U
L2 37U
V_1 C3 14U C2 68U
C4 33U V1 C1 6.8U
R2 10MEG R4 1
I1 AC = 1 R3 10MEG
R1 1
-10 0s I(L1) 50us V(1) 100us 150us 200us 250us Frequency 300us 350us 400us 450us 500us
Schematic, netlist, and simulation results for the inrush current simulation.
of the lter is also displayed. When a 32-V step voltage was applied, the lter output overshot to almost 48 V. This is an important consideration for selecting and derating the components that are used in the switching converter that follows the lter.
4THORD2.cir .AC DEC 10 100 1meg .TRAN 1u 500u .PROBE C2 1 2 68U C3 1 0 14U R1 2 0 1 R2 3 0 10MEG R3 1 0 10MEG L1 4 3 15U L2 3 1 37U I1 0 1 AC=1
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