Question 13.8: FINDING THE TRANSIENT RESPONSE OF AN RMS CIRCUIT The rms val...

FINDING THE TRANSIENT RESPONSE OF AN RMS CIRCUIT

The rms value of an input signal v_{in} = sin(120πt) is to be fed to a load resistance R_{L} = 1 GΩ. This is shown in Figure 13.30(a). Use PSpice to plot the transient response of the input and output voltages for a duration of 0 to 33.33 msec in steps of 10 μsec.

13.30(a)
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The rms value is determined by the RC circuit of Figure 13.30(b). The input frequency is f = 60 Hz.

The PSpice schematic is shown in Figure 13.31(a) for an rms circuit. Figure 13.31(b)
shows an implementation with an ABM integrator.

The listing of the circuit file is as follows:

Example 13.8 RMS circuit

SOURCE     VIN 1 0 SIN (0 1V 60HZ)
CIRCUIT      RL 2 0 1G

* Calling subcircuit RMS:
X1      1        2       0          RMS
*       Vi+    Vo+   Vo−   model name
* Subcircuit definition for RMS:
.SUBCKT RMS    1       3        2
* model name   Vi+   Vo+  Vo−
RI 1 0 1G
GAVR 2 4 VALUE = {V(1)*V(1)}
C 4 2 1 IC=0V

R 4 2 1G
EOUT 3 2 VALUE = {SQRT (V(4,2)/TIME)}
RO 3 2 1G
.ENDS RMS                                       ; End of subcircuit definition

ANALYSIS   .TRAN 10US 33.33MS UIC               ; Use initial condition in

transient analysis
.PLOT TRAN V(2) V(1)                      ; Prints on the output file
.OPTIONS ABSTOL = 1.00N RELTOL = 0.01 VNTOL = 0.1
ITL5 = 0
.PROBE                                               ; Graphics post-processor

      .END

The plots of the transient response for the input and output voltages are shown in
Figure 13.32. The rms value of a sine wave with 1 V peak is 1 V/\sqrt {2} = 0.707 V.

13.30(b)
13.31(a)
13.31(b)
13.32

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