WOLFRAM SYSTEMMODELER LINK PACKAGE SYMBOL

WSMSimulate

simulates a model

from

to

.

MORE INFORMATION

returns a WSMSimulationData object.

The refers to the Automatic fully qualified Modelica name.

The following options can be given:

WSMInitialValues	Automatic	overriding initial values
WSMInputFunctions	Automatic	overriding input values
InterpolationOrder	Automatic	continuity degree of output between events
Method	Automatic	what simulation method to use
WSMParameterValues	Automatic	overriding parameter values

Setting WSMParameterValues or WSMInitialValues to runs simulations in parallel, with taking values .

WSMInitialValues corresponds to the start property in the Modelica model.

WSMInputFunctions uses as the input value for at time t.

The following adaptive step methods can be used:

	"DASSL"	DASSL DAE solver
	"CVODES"	CVODES ODE solver

Suboptions for adaptive-step methods are given as Method with possible values:

	"InterpolationPoints"	Automatic	number of interpolation points
	"Tolerance"	10^-6	tolerance for adaptive step size

The following fixed-step methods can be used:

	"Euler"	explicit Euler's method of order 1
	"Heun"	Heun's method of order 2
	"RungeKutta"	explicit Runge-Kutta method of order 4

Suboptions for fixed-step methods are given as Method with possible values:

"StepSize"

10^-3

fixed step size

EXAMPLES

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Basic Examples (4)

Load Wolfram SystemModeler Link:

Simulate a model during the time interval

:

Plot the variables

and

from the simulation:

Simulate a model with different parameters:

Compare the variable

between the simulations:

Simulate a model:

Get simulation results for the variables

and

:

Plot the variables using the Plot function:

Load Wolfram SystemModeler Link:

In[1]:=

Simulate a model during the time interval

:

In[1]:=

In[2]:=

Out[2]=

Plot the variables

and

from the simulation:

In[3]:=

Out[3]=

Simulate a model with different parameters:

In[1]:=

In[2]:=

In[3]:=

Compare the variable

between the simulations:

Simulate a model:

Get simulation results for the variables

and

:

In[3]:=

Out[3]=

Plot the variables using the Plot function:

In[4]:=

Out[4]=

Scope (3)

Initial values for variables can be set with the WSMInitialValues option:

Parameter values can be set with the WSMParameterValues option:

Simulate a model with given input:

Simulate the model that adds two inputs:

Plot the inputs and the output:

Options (12)

Simulate with a changed initial value for the variable

:

Simulate for different initial values for the variable

:

Plot the variable

from all simulations:

Simulate a model with a given input:

Simulate the model that derives the input:

Plot the input and the output:

Simulate with interpolation orders 1 and 3, and 3 interpolation points:

Show the

variable:

Use a fixed-step solver:

Plot the result:

Use an adaptive-step solver:

Show the result in a ParametricPlot:

For stiff problems, use an adaptive-step method:

Simulating with too few interpolation points can give inexact plots:

Increasing the number of points gives a better result:

The default step size for a fixed-step solver might be smaller than needed:

Use a larger step size to speed up computation:

The result is comparable:

Change two parameter values:

Check the parameters in the simulation result:

Do a parameter sweep over a voltage offset:

Plot the voltage for all simulations:

Setting ranges for two parameters simulates once for each position in the ranges:

Applications (9)

Calculate the overshoot of the height in a tank system:

Find the maximum peak value:

Get the value of the step sent in to the tank:

Calculate the overshoot:

Show the overshoot:

Calculate the rise time for the height in a tank system:

Get the required values at 10% and 90% by looking at the steady-state value for height:

Find the times at which the signal reaches these values:

Calculate the rise time:

Plot lines at the final value, and when the signal reaches 10% and 90% of the final value:

Calculate the settling time for the height in a tank system:

Find 5% bounds on the final value:

Find the time at which the signal stays within these values:

Plot the bounds and the found settling time:

Change parameter values interactively:

Analyze resonance peaks when varying a parameter:

Simulate with varying spring constant:

Compute

from

:

Show the resonance peaks:

Calibrate parameters in a model by comparing to measurement data:

Set up a criteria function for model fitting:

Fit parameters to the test data:

Simulate with the fitted parameters:

Show the test data and the calibrated model together:

Simulate a low-pass filter with sound as input:

Define an input sound:

Simulate with given input sound:

Retrieve the output and play both to compare:

Simulate a Newton's cradle:

Fetch trajectories from the result:

Visualize the cradle:

Visualize simulated data with a WaveletScalogram:

Simulate the model:

Pick out the data you are interested in:

Compute the wavelet transform:

Plot the wavelet vector coefficients:

Properties & Relations (2)

The output from

is a WSMSimulationData object:

Use properties to get variable trajectories:

Use WSMSimulateSensitivity to also get sensitivities to parameters:

Plot the capacitor's voltage sensitivity to the frequency of

:

Neat Examples (1)

Use the Van der Pol model:

Simulate and show in a parametric plot: