Example 6

Modulus integrator (Idtmod)

This example shows the modulus integrator in a transient simulation. The output voltage is the time integral of the input voltage, modulo the modulus. With a constant input of 1V and a modulus of 1.0, the output will ramp up to 1.0, wrap around to 0.0, and ramp up again.

import pylab
import pycircuit.circuit._numeric as numeric
from pycircuit.circuit.transient import Transient
from pycircuit.circuit import SubCircuit, VS, R, Idtmod, gnd

c = SubCircuit()
nin, nout = c.add_nodes('in', 'out')
c['vin'] = VS(nin, gnd, v=1.0)
c['R'] = R(nout, gnd, r=1e3)
c['Idtmod'] = Idtmod(nin, gnd, nout, gnd, modulus=1.0)

tran = Transient(c, toolkit=numeric)
result = tran.solve(tend=3.0, timestep=0.01)

t = result.v(nout).x[0]
vin = result.v(nin).y
vout = result.v(nout).y

pylab.plot(t, vin, label='Input Voltage')
pylab.plot(t, vout, label='Output Voltage (mod 1.0)')
pylab.xlabel('Time (s)')
pylab.ylabel('Voltage (V)')
pylab.title('Idtmod Transient Response')
pylab.legend()
pylab.grid(True)

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