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CIRCUIT ANALYSIS USING SPICE AND PSPICE
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The mutual inductance between inductors is modeled by a device whose name begins with K. The data statement syntax is hnamei hinductor 1i hinductor 2i hcoupling coefficienti
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The dot rule, which determines the sign of the mutual inductance term, is observed by making the dotted end of each inductor the rst node entered in its data statement.
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EXAMPLE 15.15 Write the three data statements which describe the coupled coils of Fig. 15-15.
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Fig. 15-15 p The coupling coe cient is k12 1:5= 2 3 0:61. The netlist contains the following: L1 L2 K12 1 3 L1 2 4 L2 2 3 0.61
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EXAMPLE 15.16 Plot the input impedance Zin V1 =I1 in the circuit of Fig. 15-16(a) for f varying from 0.01 to 1 Hz. To nd Zin , we connect a 1-A ac current source running from node 0 to node 1 and plot the magnitude and phase of the voltage V(1) across it. The source le is AC analysis of coupled coils, Fig. 15-16 IADD 0 1 AC 1 C 0 1 1 000 000 uF R 0 2 3 L1 1 2 2H L2 3 2 5H K12 L1 L2 0.6325 H L3 0 3 1H .AC LIN 20 .01 1 .PRINT AC Vm(1) Vp(1) .PROBE .END 0
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Vm(1) and Vp(1), which are the magnitude and phase of Zin , are plotted by using Probe and the graph is shown in Fig. 15-16(b). Note that the maximum occurs at about 100 mHz.
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.MODEL Statement The parameters of a passive element can be varied by using .MODEL statement. The syntax is :MODEL hnamei htypei hparameteri hvaluei For passive linear elements, htypei is
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where hnamei is the name assigned to the element.
RES for resistor IND for inductor CAP for capacitor
CIRCUIT ANALYSIS USING SPICE AND PSPICE
[CHAP. 15
We can sweep the parameter of the model though a desired range at desired steps by using the .STEP statement: :STEP LIN hnamei hinitial valuei hfinal valuei hstep sizei
As an example, the following two statements use .MODEL and .STEP commands to de ne a resistor called heater with the resistance parameter varying from 20 to 40
in 5 steps generating 20, 25, 30, 35, and 40
.MODEL .STEP heater RES RES(R 20 heater(R) 20 40 5
Fig. 15-16
CHAP. 15]
CIRCUIT ANALYSIS USING SPICE AND PSPICE
EXAMPLE 15.17 Use Probe to plot V in the circuit in Fig. 15-17(a) for f varying from 1 to 3 kHz in 100 steps. also, R from 500
to 1 k
in steps of 100
. Using .MODEL command we create the resistor RLeak and sweep its value by .STEP in the following source le. The graph of the frequency response V versus f is plotted by using Probe and it is shown in Fig. 15-17(b). Parallel resonance with variable R, Fig. I 0 1 AC R 1 0 RLeak L 1 0 10 m C 1 0 1u .MODEL RLeak RES(R 1 .STEP LIN RES .AC LIN 100 1k .PROBE .END 15-17 1m 0 1
RLeak(R) 3k
Fig. 15-17
CIRCUIT ANALYSIS USING SPICE AND PSPICE
[CHAP. 15
15.11 TIME RESPONSE AND TRANSIENT ANALYSIS .TRAN statement Time responses, such as natural responses to initial conditions in a source-free circuit and responses to step, pulse, exponential, or other time-dependent inputs, are produced by the .TRAN statement. The response begins at t 0. The increment size and nal time value are given in the following statement: :TRAN hincrement sizei hfinal time valuei
EXAMPLE 15.18 Use .TRAN and .PROBE to plot the voltage across the parallel RLC combination in Fig. 15-18(a) for R 50
and 150
for 0 < t < 1:4 ms. The initial conditions are I 0 0:5 A and V 0 0.
Fig. 15-18 The source le is Source-free parallel RLC with variable R R 1 0 LOSS L 0 1 10 m C 1 0 1u .MODEL LOSS RES(R 6 1 IC :5 IC 0
CHAP. 15]
CIRCUIT ANALYSIS USING SPICE AND PSPICE
.STEP .TRAN .PROBE .END
RES 2.0E 6
LOSS(R) 1:4E 3
50 UIC
Figure 15-18(b) shows the graph of the voltage plotted by Probe.
For R 50
there are no oscillations.
SPECIFYING OTHER TYPES OF SOURCES hnamei hnodesi hdc comp:i hac comp:i htransient comp.i
Time-dependent sources which include dc, ac, and transient components are expressed by The default for the unspeci ed dc or ac component is zero. The transient component appears for t > 0. Several transient components are described below. Exponential Source The source starts at a constant initial value V0 . At t0 , it changes exponentially from V0 to a nal value V1 with a time constant tau1. At t T, it returns exponentially to V0 with a time constant tau2. Its syntax is EXP V0 V1 t0 tau1 T tau2
EXAMPLE 15.19 A 1-V dc voltage source starts increasing exponentially at t 5 ms, with a time constant of 5 ms and an asymptote of 2 V. After 15 ms, it starts decaying back to 1 V with a time constant of 2 ms. Write the data statement for the source and use Probe to plot the waveform. The data statement is Vs 1 0 EXP 1 2 5m 5 m 20 m 2 m
The waveform is plotted as shown in Fig. 15-19.
Fig. 15-19
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