ball = LagrangianLinearTIDS(x, v, mass) # set external forces weight = [-m * g, 0, 0] ball.setFExtPtr(weight) # # Interactions # # ball-floor H = [[1, 0, 0]] nslaw = NewtonImpactNSL(e) relation = LagrangianLinearTIR(H) inter = Interaction(nslaw, relation) # # Model # bouncingBall = Model(t0, T) # add the dynamical system to the non smooth dynamical system bouncingBall.nonSmoothDynamicalSystem().insertDynamicalSystem(ball) # link the interaction and the dynamical system bouncingBall.nonSmoothDynamicalSystem().link(inter, ball) # # Simulation
# # 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) # # Simulation #
# # 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) # # Simulation #
def test_bouncing_ball1(): from siconos.kernel import LagrangianLinearTIDS, NewtonImpactNSL, \ LagrangianLinearTIR, Interaction, Model, MoreauJeanOSI, TimeDiscretisation, LCP, TimeStepping from numpy import array, eye, empty t0 = 0 # start time T = 10 # end time h = 0.005 # time step r = 0.1 # ball radius g = 9.81 # gravity m = 1 # ball mass e = 0.9 # restitution coeficient theta = 0.5 # theta scheme # # dynamical system # x = array([1, 0, 0]) # initial position v = array([0, 0, 0]) # initial velocity mass = eye(3) # mass matrix mass[2, 2] = 3./5 * r * r # the dynamical system ball = LagrangianLinearTIDS(x, v, mass) # set external forces weight = array([-m * g, 0, 0]) ball.setFExtPtr(weight) # # Interactions # # ball-floor H = array([[1, 0, 0]]) nslaw = NewtonImpactNSL(e) relation = LagrangianLinearTIR(H) inter = Interaction(1, nslaw, relation) # # Model # bouncingBall = Model(t0, T) # add the dynamical system to the non smooth dynamical system bouncingBall.nonSmoothDynamicalSystem().insertDynamicalSystem(ball) # link the interaction and the dynamical system bouncingBall.nonSmoothDynamicalSystem().link(inter, ball) # # Simulation # # (1) OneStepIntegrators OSI = MoreauJeanOSI(theta) OSI.insertDynamicalSystem(ball) # (2) Time discretisation -- t = TimeDiscretisation(t0, h) # (3) one step non smooth problem osnspb = LCP() # (4) Simulation setup with (1) (2) (3) s = TimeStepping(t) s.insertIntegrator(OSI) s.insertNonSmoothProblem(osnspb) # end of model definition # # computation # # simulation initialization bouncingBall.initialize(s) # # save and load data from xml and .dat # try: from siconos.io import save save(bouncingBall, "bouncingBall.xml") save(bouncingBall, "bouncingBall.bin") except: print("Warning : could not import save from siconos.io") # the number of time steps N = (T-t0)/h+1 # Get the values to be plotted # ->saved in a matrix dataPlot dataPlot = empty((N, 5)) # # numpy pointers on dense Siconos vectors # q = ball.q() v = ball.velocity() p = ball.p(1) lambda_ = inter.lambda_(1) # # initial data # dataPlot[0, 0] = t0 dataPlot[0, 1] = q[0] dataPlot[0, 2] = v[0] dataPlot[0, 3] = p[0] dataPlot[0, 4] = lambda_[0] k = 1 # time loop while(s.hasNextEvent()): s.computeOneStep() dataPlot[k, 0] = s.nextTime() dataPlot[k, 1] = q[0] dataPlot[k, 2] = v[0] dataPlot[k, 3] = p[0] dataPlot[k, 4] = lambda_[0] k += 1 #print(s.nextTime()) s.nextStep() # # comparison with the reference file # from siconos.kernel import SimpleMatrix, getMatrix from numpy.linalg import norm ref = getMatrix(SimpleMatrix(os.path.join(working_dir, "data/result.ref"))) assert (norm(dataPlot - ref) < 1e-12)
def test_serialization4(): from siconos.kernel import LagrangianLinearTIDS, NewtonImpactNSL, \ LagrangianLinearTIR, Interaction, Model, MoreauJeanOSI, TimeDiscretisation, LCP, TimeStepping from numpy import array, eye, empty t0 = 0 # start time T = 10 # end time h = 0.005 # time step r = 0.1 # ball radius g = 9.81 # gravity m = 1 # ball mass e = 0.9 # restitution coeficient theta = 0.5 # theta scheme # # dynamical system # x = array([1, 0, 0]) # initial position v = array([0, 0, 0]) # initial velocity mass = eye(3) # mass matrix mass[2, 2] = 3./5 * r * r # the dynamical system ball = LagrangianLinearTIDS(x, v, mass) # set external forces weight = array([-m * g, 0, 0]) ball.setFExtPtr(weight) # # Interactions # # ball-floor H = array([[1, 0, 0]]) nslaw = NewtonImpactNSL(e) relation = LagrangianLinearTIR(H) inter = Interaction(1, nslaw, relation) # # Model # first_bouncingBall = Model(t0, T) # add the dynamical system to the non smooth dynamical system first_bouncingBall.nonSmoothDynamicalSystem().insertDynamicalSystem(ball) # link the interaction and the dynamical system first_bouncingBall.nonSmoothDynamicalSystem().link(inter, ball) # # Simulation # # (1) OneStepIntegrators OSI = MoreauJeanOSI(theta) # (2) Time discretisation -- t = TimeDiscretisation(t0, h) # (3) one step non smooth problem osnspb = LCP() # (4) Simulation setup with (1) (2) (3) s = TimeStepping(t) s.insertIntegrator(OSI) s.insertNonSmoothProblem(osnspb) # end of model definition # # computation # # simulation initialization first_bouncingBall.setSimulation(s) first_bouncingBall.initialize() # # save and load data from xml and .dat # from siconos.io.io_base import save, load save(first_bouncingBall, "bouncingBall.xml") bouncingBall = load("bouncingBall.xml") # the number of time steps N = (T-t0)/h+1 # Get the values to be plotted # ->saved in a matrix dataPlot dataPlot = empty((N, 5)) # # numpy pointers on dense Siconos vectors # q = ball.q() v = ball.velocity() p = ball.p(1) lambda_ = inter.lambda_(1) # # initial data # dataPlot[0, 0] = t0 dataPlot[0, 1] = q[0] dataPlot[0, 2] = v[0] dataPlot[0, 3] = p[0] dataPlot[0, 4] = lambda_[0] k = 1 # time loop while(s.hasNextEvent()): s.computeOneStep() dataPlot[k, 0] = s.nextTime() dataPlot[k, 1] = q[0] dataPlot[k, 2] = v[0] dataPlot[k, 3] = p[0] dataPlot[k, 4] = lambda_[0] k += 1 print(s.nextTime()) s.nextStep() # # comparison with the reference file # from siconos.kernel import SimpleMatrix, getMatrix from numpy.linalg import norm ref = getMatrix(SimpleMatrix(os.path.join(working_dir, "data/result.ref"))) assert (norm(dataPlot - ref) < 1e-12)
[-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) InterDiodeBridge.insert(LSDiodeBridge) # # 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
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(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) myIntegrator = EulerMoreauOSI(process, theta) s.insertIntegrator(myIntegrator)
# # 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) # # Simulation
[-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) # # Simulation
# 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, LS2DiodeBridgeCapFilter) #
[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) # # Simulation
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
# # 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) # # Simulation #
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) s.insertIntegrator(myIntegrator) #TODO python <- SICONOS_RELAY_LEMKE # access dparam osnspb = Relay()
# 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) # link the interaction and the dynamical system myNSDS.link(InterRelayOscillator,LSRelayOscillator)
bar = LagrangianLinearTIDS(q0,v0,M) bar.setKPtr(K) #bar.display() weight = np.full((nDof),-g*rho*S/l) bar.setFExtPtr(weight) e=0.0 H = np.zeros((1,nDof)) H[0,0]=1. nslaw = NewtonImpactNSL(e) relation = LagrangianLinearTIR(H) inter = Interaction(nslaw, relation) # ------------- # --- Model --- # ------------- impactingBar = NonSmoothDynamicalSystem(t0, T) # add the dynamical system in the non smooth dynamical system impactingBar.insertDynamicalSystem(bar); # link the interaction and the dynamical system impactingBar.link(inter,bar); # ------------------ # --- Simulation ---
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