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) InterRelayOscillator = Interaction(nslaw, LTIRRelayOscillator) # # Model # relayOscillator = NonSmoothDynamicalSystem(t0, T) relayOscillator.setTitle(Modeltitle) # add the dynamical system in the non smooth dynamical system relayOscillator.insertDynamicalSystem(LSRelayOscillator) # link the interaction and the dynamical system relayOscillator.link(InterRelayOscillator, LSRelayOscillator)
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)
nslaw = ComplementarityConditionNSL(4)
InterDiodeBridge = Interaction(4, nslaw, LTIRDiodeBridge, 1)
#
# Model
#
DiodeBridge = Model(t0, T, Modeltitle)
# add the dynamical system in the non smooth dynamical system
DiodeBridge.nonSmoothDynamicalSystem().insertDynamicalSystem(LSDiodeBridge)
# link the interaction and the dynamical system
DiodeBridge.nonSmoothDynamicalSystem().link(InterDiodeBridge, LSDiodeBridge)
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)
nslaw = ComplementarityConditionNSL(4)
InterDiodeBridge = Interaction(4, nslaw, LTIRDiodeBridge, 1)
#
# Model
#
DiodeBridge = Model(t0, T, Modeltitle)
# add the dynamical system in the non smooth dynamical system
DiodeBridge.nonSmoothDynamicalSystem().insertDynamicalSystem(LSDiodeBridge)
# link the interaction and the dynamical system
DiodeBridge.nonSmoothDynamicalSystem().link(InterDiodeBridge, LSDiodeBridge)
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)
InterRelayOscillator=Interaction(1, nslaw,LTIRRelayOscillator,1)
#
# Model
#
RelayOscillator=Model(t0,T,Modeltitle)
# add the dynamical system in the non smooth dynamical system
myNSDS = NonSmoothDynamicalSystem()
myNSDS.insertDynamicalSystem(LSRelayOscillator)
C = eye(2)
#C = 1
D = zeros((2, 2))
#D = 0
# dynamical systems
process = FirstOrderNonLinearDS(x0)
process.setComputeFFunction('PluginF', 'computef1')
process.setComputeJacobianfxFunction('PluginF', 'computeJacf1')
#process = FirstOrderNonLinearDS(x0,'PluginF:computef1','PluginF:computeJacf1' )
process.display()
myProcessRelation = FirstOrderLinearTIR(C, B)
myProcessRelation.setDPtr = D
myNslaw = RelayNSL(2)
myNslaw.display()
nameInter = 'processInteraction'
myProcessInteraction = Interaction(myNslaw, myProcessRelation)
myNSDS = NonSmoothDynamicalSystem()
myNSDS.insertDynamicalSystem(process)
myNSDS.link(myProcessInteraction, process)
filippov = Model(t0, T)
filippov.setNonSmoothDynamicalSystemPtr(myNSDS)
td = TimeDiscretisation(t0, h)
s = TimeStepping(td)
[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) InterCircuitRLCD = Interaction(1, nslaw, LTIRCircuitRLCD, 1) # # Model # CircuitRLCD = Model(t0, T, Modeltitle) # add the dynamical system in the non smooth dynamical system CircuitRLCD.nonSmoothDynamicalSystem().insertDynamicalSystem(LSCircuitRLCD) # link the interaction and the dynamical system CircuitRLCD.nonSmoothDynamicalSystem().link(InterCircuitRLCD, LSCircuitRLCD)
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.]]
B = [[0., 0., -1. / Cvalue, 1. / Cvalue], [0., 0., 0., 0.],
[1.0 / Cfilt, 0., 1.0 / Cfilt, 0.]]
LTIRDiodeBridgeCapFilter = FirstOrderLinearTIR(C, B)
LTIRDiodeBridgeCapFilter.setDPtr(D)
nslaw = ComplementarityConditionNSL(4)
InterDiodeBridgeCapFilter = Interaction(nslaw, LTIRDiodeBridgeCapFilter)
#
# Model
#
DiodeBridgeCapFilter = NonSmoothDynamicalSystem(t0, T)
DiodeBridgeCapFilter.setTitle(Modeltitle)
# add the dynamical system in the non smooth dynamical system
DiodeBridgeCapFilter.insertDynamicalSystem(LS1DiodeBridgeCapFilter)
DiodeBridgeCapFilter.insertDynamicalSystem(LS2DiodeBridgeCapFilter)
# link the interaction and the dynamical system
DiodeBridgeCapFilter.link(InterDiodeBridgeCapFilter, LS1DiodeBridgeCapFilter,
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.]]
B = [[0., 0., -1./Cvalue, 1./Cvalue],
[0., 0., 0., 0. ],
[1.0/Cfilt, 0., 1.0/Cfilt, 0. ]]
LTIRDiodeBridgeCapFilter = FirstOrderLinearTIR(C, B)
LTIRDiodeBridgeCapFilter.setDPtr(D)
nslaw = ComplementarityConditionNSL(4)
InterDiodeBridgeCapFilter = Interaction(4, nslaw, LTIRDiodeBridgeCapFilter, 1)
#
# Model
#
DiodeBridgeCapFilter = Model(t0, T, Modeltitle)
# add the dynamical system in the non smooth dynamical system
DiodeBridgeCapFilter.nonSmoothDynamicalSystem().insertDynamicalSystem(LS1DiodeBridgeCapFilter)
DiodeBridgeCapFilter.nonSmoothDynamicalSystem().insertDynamicalSystem(LS2DiodeBridgeCapFilter)
# link the interaction and the dynamical system
DiodeBridgeCapFilter.nonSmoothDynamicalSystem().link(InterDiodeBridgeCapFilter, LS1DiodeBridgeCapFilter, LS2DiodeBridgeCapFilter)
ninter = 2
theta = 0.5
alpha = .01
N = ceil((T-t0)/h)
# matrices
A = zeros((2,2))
x0 = array([10.,10.])
B = 500*array([[alpha,1-alpha],[-(1-alpha),alpha]])
C = eye(2)
D = zeros((2,2))
# dynamical systems
process = FirstOrderLinearDS(x0, A)
myProcessRelation = FirstOrderLinearTIR(C,B)
myProcessRelation.setDPtr(D)
myNslaw = RelayNSL(2)
myNslaw.display()
myProcessInteraction = Interaction(ninter, myNslaw,
myProcessRelation)
myNSDS = NonSmoothDynamicalSystem()
myNSDS.insertDynamicalSystem(process)
myNSDS.link(myProcessInteraction,process)
filippov = Model(t0,T)
filippov.setNonSmoothDynamicalSystemPtr(myNSDS)
td = TimeDiscretisation(t0, h)
#C = 1
D = zeros((2,2))
#D = 0
# dynamical systems
process = FirstOrderNonLinearDS(x0)
process.setComputeFFunction('PluginF', 'computef1')
process.setComputeJacobianfxFunction('PluginF', 'computeJacf1')
#process = FirstOrderNonLinearDS(x0,'PluginF:computef1','PluginF:computeJacf1' )
process.display()
myProcessRelation = FirstOrderLinearTIR(C,B)
myProcessRelation.setDPtr = D
myNslaw = RelayNSL(2)
myNslaw.display()
nameInter = 'processInteraction'
myProcessInteraction = Interaction(ninter, myNslaw,
myProcessRelation)
myNSDS = NonSmoothDynamicalSystem()
myNSDS.insertDynamicalSystem(process)
myNSDS.link(myProcessInteraction,process)
filippov = Model(t0,T)
filippov.setNonSmoothDynamicalSystemPtr(myNSDS)
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)
# (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.setSimulation(bridge_simulation)
diode_bridge.initialize()
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
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
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) InterCircuitRLCD = Interaction(1, nslaw, LTIRCircuitRLCD, 1) # # Model # CircuitRLCD = Model(t0, T, Modeltitle) # add the dynamical system in the non smooth dynamical system CircuitRLCD.nonSmoothDynamicalSystem().insertDynamicalSystem(LSCircuitRLCD) # link the interaction and the dynamical system CircuitRLCD.nonSmoothDynamicalSystem().link(InterCircuitRLCD, LSCircuitRLCD)
ninter = 2 theta = 0.5 alpha = .01 N = ceil((T - t0) / h) # matrices A = zeros((2, 2)) x0 = array([10., 10.]) B = 500 * array([[alpha, 1 - alpha], [-(1 - alpha), alpha]]) C = eye(2) D = zeros((2, 2)) # dynamical systems process = FirstOrderLinearDS(x0, A) myProcessRelation = FirstOrderLinearTIR(C, B) myProcessRelation.setDPtr(D) myNslaw = RelayNSL(2) myNslaw.display() myProcessInteraction = Interaction(ninter, myNslaw, myProcessRelation) myNSDS = NonSmoothDynamicalSystem() myNSDS.insertDynamicalSystem(process) myNSDS.link(myProcessInteraction, process) filippov = Model(t0, T) filippov.setNonSmoothDynamicalSystemPtr(myNSDS) td = TimeDiscretisation(t0, h) s = TimeStepping(td)
def test_diodebridge1():
from siconos.kernel import FirstOrderLinearDS, FirstOrderLinearTIR, \
ComplementarityConditionNSL, Interaction,\
Model, EulerMoreauOSI, TimeDiscretisation, LCP, \
TimeStepping
from numpy import empty
from siconos.kernel import SimpleMatrix, getMatrix
from numpy.linalg import norm
t0 = 0.0
T = 5.0e-3 # Total simulation time
h_step = 1.0e-6 # Time step
Lvalue = 1e-2 # inductance
Cvalue = 1e-6 # capacitance
Rvalue = 1e3 # resistance
Vinit = 10.0 # initial voltage
Modeltitle = "DiodeBridge"
#
# 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)
LTIRDiodeBridge.display()
nslaw=ComplementarityConditionNSL(4)
InterDiodeBridge=Interaction(4, nslaw, LTIRDiodeBridge, 1)
#
# Model
#
DiodeBridge=Model(t0, T, Modeltitle)
# add the dynamical system in the non smooth dynamical system
DiodeBridge.nonSmoothDynamicalSystem().insertDynamicalSystem(LSDiodeBridge)
# link the interaction and the dynamical system
DiodeBridge.nonSmoothDynamicalSystem().link(InterDiodeBridge, LSDiodeBridge)
#
# Simulation
#
# (1) OneStepIntegrators
theta = 0.5
aOSI = EulerMoreauOSI(LSDiodeBridge, theta)
# (2) Time discretisation
aTiDisc = TimeDiscretisation(t0, h_step)
# (3) Non smooth problem
aLCP = LCP()
# (4) Simulation setup with (1) (2) (3)
aTS = TimeStepping(aTiDisc, aOSI, aLCP)
# end of model definition
#
# computation
#
# simulation initialization
DiodeBridge.initialize(aTS)
k = 0
h = aTS.timeStep()
print("Timestep : ", h)
# Number of time steps
N = (T-t0)/h
print("Number of steps : ", N)
# Get the values to be plotted
# ->saved in a matrix dataPlot
dataPlot = empty([N, 8])
x = LSDiodeBridge.x()
print("Initial state : ", x)
y = InterDiodeBridge.y(0)
print("First y : ", y)
lambda_ = InterDiodeBridge.lambda_(0)
# For the initial time step:
# time
dataPlot[k, 0] = t0
# inductor voltage
dataPlot[k, 1] = x[0]
# inductor current
dataPlot[k, 2] = x[1]
# diode R1 current
dataPlot[k, 3] = y[0]
# diode R1 voltage
dataPlot[k, 4] = - lambda_[0]
# diode F2 voltage
dataPlot[k, 5] = - lambda_[1]
# diode F1 current
dataPlot[k, 6] = lambda_[2]
# resistor current
dataPlot[k, 7] = y[0] + lambda_[2]
k += 1
while (k < N):
aTS.computeOneStep()
#aLCP.display()
dataPlot[k, 0] = aTS.nextTime()
# inductor voltage
dataPlot[k, 1] = x[0]
# inductor current
dataPlot[k, 2] = x[1]
# diode R1 current
dataPlot[k, 3] = y[0]
# diode R1 voltage
dataPlot[k, 4] = - lambda_[0]
# diode F2 voltage
dataPlot[k, 5] = - lambda_[1]
# diode F1 current
dataPlot[k, 6] = lambda_[2]
# resistor current
dataPlot[k, 7] = y[0] + lambda_[2]
k += 1
aTS.nextStep()
#
# comparison with the reference file
#
ref = getMatrix(SimpleMatrix(os.path.join(working_dir,"data/diode_bridge.ref")))
print(norm(dataPlot - ref))
assert (norm(dataPlot - ref) < 1e-12)
return ref, dataPlot
