import numpy as np
import openmdao.api as om
[docs]class Resistor(om.ExplicitComponent):
"""Computes current across a resistor using Ohm's law."""
[docs] def initialize(self):
self.options.declare('R', default=1., desc='Resistance in Ohms')
[docs] def setup(self):
self.add_input('V_in', units='V')
self.add_input('V_out', units='V')
self.add_output('I', units='A')
[docs] def setup_partials(self):
self.declare_partials('I', 'V_in', method='cs')
self.declare_partials('I', 'V_out', method='cs')
[docs] def compute(self, inputs, outputs):
deltaV = inputs['V_in'] - inputs['V_out']
outputs['I'] = deltaV / self.options['R']
[docs]class Diode(om.ExplicitComponent):
"""Computes current across a diode using the Shockley diode equation."""
[docs] def initialize(self):
self.options.declare('Is', default=1e-15, desc='Saturation current in Amps')
self.options.declare('Vt', default=.025875, desc='Thermal voltage in Volts')
[docs] def setup(self):
self.add_input('V_in', units='V')
self.add_input('V_out', units='V')
self.add_output('I', units='A')
[docs] def setup_partials(self):
self.declare_partials('I', 'V_in', method='cs')
self.declare_partials('I', 'V_out', method='cs')
[docs] def compute(self, inputs, outputs):
deltaV = inputs['V_in'] - inputs['V_out']
Is = self.options['Is']
Vt = self.options['Vt']
outputs['I'] = Is * (np.exp(deltaV / Vt) - 1)
[docs]class Node(om.ImplicitComponent):
"""Computes voltage residual across a node based on incoming and outgoing current."""
[docs] def initialize(self):
self.options.declare('n_in', default=1, types=int, desc='number of connections with + assumed in')
self.options.declare('n_out', default=1, types=int, desc='number of current connections + assumed out')
[docs] def setup(self):
self.add_output('V', val=5., units='V')
for i in range(self.options['n_in']):
i_name = 'I_in:{}'.format(i)
self.add_input(i_name, units='A')
for i in range(self.options['n_out']):
i_name = 'I_out:{}'.format(i)
self.add_input(i_name, units='A')
[docs] def setup_partials(self):
#note: we don't declare any partials wrt `V` here,
# because the residual doesn't directly depend on it
self.declare_partials('V', 'I*', method='cs')
[docs] def apply_nonlinear(self, inputs, outputs, residuals):
residuals['V'] = 0.
for i_conn in range(self.options['n_in']):
residuals['V'] += inputs['I_in:{}'.format(i_conn)]
for i_conn in range(self.options['n_out']):
residuals['V'] -= inputs['I_out:{}'.format(i_conn)]
# note: This is defined twice in the file. Once so you can import it, and once inside a test that gets included in the docs.
[docs]class Circuit(om.Group):
[docs] def setup(self):
self.add_subsystem('n1', Node(n_in=1, n_out=2), promotes_inputs=[('I_in:0', 'I_in')])
self.add_subsystem('n2', Node()) # leaving defaults
self.add_subsystem('R1', Resistor(R=100.), promotes_inputs=[('V_out', 'Vg')])
self.add_subsystem('R2', Resistor(R=10000.))
self.add_subsystem('D1', Diode(), promotes_inputs=[('V_out', 'Vg')])
self.connect('n1.V', ['R1.V_in', 'R2.V_in'])
self.connect('R1.I', 'n1.I_out:0')
self.connect('R2.I', 'n1.I_out:1')
self.connect('n2.V', ['R2.V_out', 'D1.V_in'])
self.connect('R2.I', 'n2.I_in:0')
self.connect('D1.I', 'n2.I_out:0')
self.nonlinear_solver = om.NewtonSolver(solve_subsystems=False)
self.nonlinear_solver.options['iprint'] = 2
self.nonlinear_solver.options['maxiter'] = 20
self.linear_solver = om.DirectSolver()
if __name__ == "__main__":
import openmdao.api as om
p = om.Problem(name='circuit_analysis')
model = p.model
# replacing the fixed current source with a BalanceComp to represent a fixed Voltage source
model.set_input_defaults('ground.V', 0., units='V')
model.set_input_defaults('batt.V', 1.5, units='V')
bal = model.add_subsystem('batt_balance', om.BalanceComp(), promotes=[('rhs:I', 'batt.V')])
bal.add_balance('I', units='A', eq_units='V')
model.add_subsystem('circuit', Circuit(), promotes=[('Vg', 'ground.V')])
model.add_subsystem('batt_deltaV', om.ExecComp('dV = V1 - V2', V1={'units':'V'},
V2={'units':'V'}, dV={'units':'V'}),
promotes=[('V2', 'ground.V')])
# current into the circuit is now the output state from the batt_balance comp
model.connect('batt_balance.I', 'circuit.I_in')
model.connect('circuit.n1.V', 'batt_deltaV.V1')
# set the lhs and rhs for the battery residual
model.connect('batt_deltaV.dV', 'batt_balance.lhs:I')
p.setup()
###################
# Solver Setup
###################
# change the circuit solver to RunOnce because we're
# going to converge at the top level of the model with newton instead
p.model.circuit.nonlinear_solver = om.NonlinearRunOnce()
p.model.circuit.linear_solver = om.LinearRunOnce()
# Put Newton at the top so it can also converge the new BalanceComp residual
newton = p.model.nonlinear_solver = om.NewtonSolver()
p.model.linear_solver = om.DirectSolver()
newton.options['iprint'] = 2
newton.options['maxiter'] = 20
newton.options['solve_subsystems'] = True
newton.linesearch = om.ArmijoGoldsteinLS()
newton.linesearch.options['maxiter'] = 10
newton.linesearch.options['iprint'] = 2
# set initial guesses from the current source problem
p['circuit.n1.V'] = 9.8
p['circuit.n2.V'] = .7
p.run_model()
p.run_driver()
