ninter = 2 theta = 0.5 alpha = .01 N = int((T - t0) / h) # matrices A = zeros((2, 2)) A[0, 1] = 1 x0 = array([1., 10.]) B = 500 * array([[alpha, 1 - alpha], [-(1 - alpha), alpha]]) C = eye(2) D = zeros((2, 2)) # dynamical systems process = FirstOrderLinearDS(x0, A) myProcessRelation = ZhuravlevTwistingR(C, B) myNslaw = RelayNSL(2) myNslaw.display() myProcessInteraction = Interaction(myNslaw, myProcessRelation) filippov = NonSmoothDynamicalSystem(t0, T) filippov.insertDynamicalSystem(process) filippov.link(myProcessInteraction, process) td = TimeDiscretisation(t0, h) s = TimeStepping(filippov, td) myIntegrator = EulerMoreauOSI(theta)
matplotlib.use('Agg')
from matplotlib.pyplot import subplot, title, plot, grid, savefig
from siconos.kernel import FirstOrderLinearDS, FirstOrderLinearTIR, \
ComplementarityConditionNSL, Interaction,\
Model, EulerMoreauOSI, TimeDiscretisation, LCP, \
TimeStepping
#
# dynamical system
#
init_state = [Vinit, 0]
A = [[0, -1.0 / Cvalue], [1.0 / Lvalue, 0]]
LSDiodeBridge = FirstOrderLinearDS(init_state, A)
#
# Interactions
#
C = [[0., 0.], [0, 0.], [-1., 0.], [1., 0.]]
D = [[1. / Rvalue, 1. / Rvalue, -1., 0.], [1. / Rvalue, 1. / Rvalue, 0., -1.],
[1., 0., 0., 0.], [0., 1., 0., 0.]]
B = [[0., 0., -1. / Cvalue, 1. / Cvalue], [0., 0., 0., 0.]]
LTIRDiodeBridge = FirstOrderLinearTIR(C, B)
LTIRDiodeBridge.setDPtr(D)
matplotlib.use('Agg')
from matplotlib.pyplot import subplot, title, plot, grid, savefig
from siconos.kernel import FirstOrderLinearDS, FirstOrderLinearTIR, \
RelayNSL, Interaction,\
NonSmoothDynamicalSystem, EulerMoreauOSI, TimeDiscretisation, Relay, \
TimeStepping
#
# dynamical system
#
init_state = [0.0, xinit, 0]
A = [[0, 1.0, 0.0], [0.0, 0.0, 1.0], [0.0, -3.0, -2.0]]
LSRelayOscillator = FirstOrderLinearDS(init_state, A)
#
# Interactions
#
C = [[1.0, 0.0, 0.0]]
D = [[0.0]]
B = [[0.0], [0.0], [1.0]]
LTIRRelayOscillator = FirstOrderLinearTIR(C, B)
LTIRRelayOscillator.setDPtr(D)
nslaw = RelayNSL(1)
matplotlib.use('Agg')
from matplotlib.pyplot import subplot, title, plot, grid, savefig
from siconos.kernel import FirstOrderLinearDS, FirstOrderLinearTIR, \
ComplementarityConditionNSL, Interaction,\
NonSmoothDynamicalSystem, EulerMoreauOSI, TimeDiscretisation, LCP, \
TimeStepping
#
# dynamical system
#
init_stateLS1 = [VinitLS1, 0]
LS1_A = [[0, -1.0 / Cvalue], [1.0 / Lvalue, 0]]
LS1DiodeBridgeCapFilter = FirstOrderLinearDS(init_stateLS1, LS1_A)
init_stateLS2 = [VinitLS2]
LS2_A = [[-1.0 / (Rvalue * Cfilt)]]
LS2DiodeBridgeCapFilter = FirstOrderLinearDS(init_stateLS2, LS2_A)
#
# Interactions
#
C = [[0., 0., 1.0], [0, 0., 0.0], [-1., 0., 1.0], [1., 0., 0.0]]
D = [[0.0, -1.0, 0., 0.], [1.0, 0.0, 1., -1.], [0.0, -1., 0., 0.],
[0., 1., 0., 0.]]
def test_diode_bridge():
"""Build diode bridge model"""
# dynamical system
bridge_ds = FirstOrderLinearDS(init_state, A)
# interaction
diode_bridge_relation = FirstOrderLinearTIR(C, B)
diode_bridge_relation.setDPtr(D)
nslaw = ComplementarityConditionNSL(4)
bridge_interaction = Interaction(4, nslaw, diode_bridge_relation, 1)
# Model
diode_bridge = Model(t0, total_time, model_title)
# add the dynamical system in the non smooth dynamical system
diode_bridge.nonSmoothDynamicalSystem().insertDynamicalSystem(bridge_ds)
# link the interaction and the dynamical system
diode_bridge.nonSmoothDynamicalSystem().link(bridge_interaction, bridge_ds)
# Simulation
# (1) OneStepIntegrators
theta = 0.5
integrator = EulerMoreauOSI(theta)
integrator.insertDynamicalSystem(bridge_ds)
# (2) Time discretisation
time_discretisation = TimeDiscretisation(t0, time_step)
# (3) Non smooth problem
non_smooth_problem = LCP()
# (4) Simulation setup with (1) (2) (3)
bridge_simulation = TimeStepping(time_discretisation, integrator,
non_smooth_problem)
# simulation initialization
diode_bridge.initialize(bridge_simulation)
k = 0
h = bridge_simulation.timeStep()
# Number of time steps
N = (total_time - t0) / h
# Get the values to be plotted
# ->saved in a matrix dataPlot
data_plot = empty([N, 8])
x = bridge_ds.x()
print("Initial state : ", x)
y = bridge_interaction.y(0)
print("First y : ", y)
lambda_ = bridge_interaction.lambda_(0)
# For the initial time step:
# time
data_plot[k, 0] = t0
# inductor voltage
data_plot[k, 1] = x[0]
# inductor current
data_plot[k, 2] = x[1]
# diode R1 current
data_plot[k, 3] = y[0]
# diode R1 voltage
data_plot[k, 4] = -lambda_[0]
# diode F2 voltage
data_plot[k, 5] = -lambda_[1]
# diode F1 current
data_plot[k, 6] = lambda_[2]
# resistor current
data_plot[k, 7] = y[0] + lambda_[2]
k += 1
while k < N:
bridge_simulation.computeOneStep()
#non_smooth_problem.display()
data_plot[k, 0] = bridge_simulation.nextTime()
# inductor voltage
data_plot[k, 1] = x[0]
# inductor current
data_plot[k, 2] = x[1]
# diode R1 current
data_plot[k, 3] = y[0]
# diode R1 voltage
data_plot[k, 4] = -lambda_[0]
# diode F2 voltage
data_plot[k, 5] = -lambda_[1]
# diode F1 current
data_plot[k, 6] = lambda_[2]
# resistor current
data_plot[k, 7] = y[0] + lambda_[2]
k += 1
bridge_simulation.nextStep()
#
# comparison with the reference file
#
ref = getMatrix(
SimpleMatrix(os.path.join(working_dir, "data/diode_bridge.ref")))
assert norm(data_plot - ref) < 1e-12
return ref, data_plot
matplotlib.use('Agg')
from matplotlib.pyplot import subplot, title, plot, grid, savefig
from siconos.kernel import FirstOrderLinearDS, FirstOrderLinearTIR, \
ComplementarityConditionNSL, Interaction,\
Model, EulerMoreauOSI, TimeDiscretisation, LCP, \
TimeStepping
#
# dynamical system
#
init_state = [Vinit, 0]
A = [[0, -1.0 / Cvalue], [1.0 / Lvalue, 0]]
LSCircuitRLCD = FirstOrderLinearDS(init_state, A)
#
# Interactions
#
C = [[-1., 0.]]
D = [[Rvalue]]
B = [[-1. / Cvalue], [0.]]
LTIRCircuitRLCD = FirstOrderLinearTIR(C, B)
LTIRCircuitRLCD.setDPtr(D)
nslaw = ComplementarityConditionNSL(1)
