SystemModelSimulate [model]
simulates model according to experiment settings.
SystemModelSimulate [model,tmax]
simulates from 0 to tmax.
SystemModelSimulate [model,{tmin,tmax}]
simulates from tmin to tmax.
SystemModelSimulate [model,vars,{tmin,tmax}]
stores only simulation data for the variables vars.
SystemModelSimulate
SystemModelSimulate [model]
simulates model according to experiment settings.
SystemModelSimulate [model,tmax]
simulates from 0 to tmax.
SystemModelSimulate [model,{tmin,tmax}]
simulates from tmin to tmax.
SystemModelSimulate [model,vars,{tmin,tmax}]
stores only simulation data for the variables vars.
Details and Options
- The model can have the following forms:
-
- SystemModelSimulate returns a SystemModelSimulationData object.
- The stored simulation variables vars can have the following values:
-
Automatic automatically choose what to store{v1,v2,…} store only variables viAll store all variables
- SystemModelSimulate […,spec] uses Association spec for initial values, parameters and inputs:
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"ParameterValues" {p1val1,…} parameter pi has value vali"InitialValues" {v1val1,…} variable vi has initial value vali"Inputs" {in1fun1,…} input ini has value funi[t] at time t
- Setting "ParameterValues" or "InitialValues" to {pi->{c1,c2,…},…} runs simulations in parallel, with pi taking values cj.
- "InitialValues" corresponds to the start property in the Modelica model.
- The following options can be given:
-
- The option Method is supported when model is a SystemModel .
- Method settings take the form Method->"method" or Method {"method","sub1"->val1,…}.
- The following adaptive step methods can be used:
-
"DASSL" DASSL DAE solver"CVODES" CVODES ODE solver
- Suboptions for adaptive-step methods include:
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"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 include:
-
"StepSize" 10-3 fixed step size
- With Method->{"NDSolve",sub1->val1,…}, NDSolve is used as the solver. Method options subi are passed to NDSolve .
Examples
open all close allBasic Examples (3)
Simulate a model with the time interval of simulation settings from the model:
Do a parameter sweep over a voltage offset:
Plot the voltage for all simulations:
Use the diagram representation of a model as input:
Copy and paste the output above:
Or use the name string:
Scope (22)
Models (5)
Simulate one of the included example models from the thermal domain:
Simulate a NonlinearStateSpaceModel and plot simulation results:
Simulate a TransferFunctionModel with a UnitStep as input:
Do a parameter sweep in an AffineStateSpaceModel :
Simulate a DiscreteInputOutputModel :
Plot all simulation results:
Simulation Time (4)
Simulate with settings from the model:
Simulate from time 0 to 5:
Simulate for an explicit time interval:
Use a Quantity to specify the time interval:
Variables, Parameters and Inputs (8)
Initial values for variables can be set using "InitialValues":
Parameter values can be set using "ParameterValues":
Simulate a model that adds two inputs together:
Plot the inputs and the output:
Simulate for different initial values for the variable x:
Plot the variable x from all simulations:
Simulate a model with default parameters:
Set a parameter in the simulation:
Compare the variable capacitor1.v^(') between the simulations:
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:
Simulate a model with a TimeSeries as input:
Define a time series object:
Simulate the model:
Plot the input and the output:
Simulation Results (5)
Simulate a model and plot the variables x1 and x2:
Simulate a model:
Get simulation results for the variables x and x':
Plot the variables using the Plot function:
Simulate a model and find the maximum of a variable:
Get the value of the variable angle1v:
Find the maximum value of the angle:
Run a simulation and plot in a single call:
Specify arguments to SystemModelSimulate :
Store only selected variables:
Only the given variables are saved:
Generalizations & Extensions (1)
Debug messages are collected in the message group "WSMDebug":
Turn on debug messages for initialization:
Turn off all debug messages for "WSMDebug":
Options (10)
InterpolationOrder (1)
Simulate with interpolation orders 1 and 3, and 3 interpolation points:
Show the x variable:
Method (8)
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:
Let an adaptive solver choose the solver steps:
Use NDSolve for simulating a model:
The result is a SystemModelSimulationData object containing the simulation results:
Pass options to NDSolve :
The accuracy is reduced because of the options:
ProgressReporting (1)
Control progress reporting with ProgressReporting :
Applications (11)
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:
Simulate a rolling wheel for different starting inertias along the wheel axis:
Fetch the trajectories for the wheel:
Plot the trajectories:
Analyze resonance peaks when varying a spring constant:
Compute TemplateBox[{{H, (, {ⅈ, , omega}, )}}, Abs] 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:
Filter sampled data from a Tinker Forge Weather Station:
Time shift and retrieve the magnitude of the data:
Run the time series through a lowpass filter:
Simulate a lowpass filter with sound as input:
Simulate with given input sound:
Retrieve the audio for input and output:
Simulate a Newton's cradle:
Fetch trajectories from the result:
Visualize the cradle:
Visualize simulated data with a WaveletScalogram :
Pick out the data you are interested in:
Compute the wavelet transform:
Plot the wavelet vector coefficients:
Properties & Relations (3)
The output from SystemModelSimulate is a SystemModelSimulationData object:
Use properties to get variable trajectories:
Use SystemModelSimulateSensitivity to also get sensitivities to parameters:
Plot the capacitor's voltage sensitivity to the frequency of "sineVoltage1":
Use SystemModelParametricSimulate for a function that can be evaluated for different values:
Compute solutions for different values of the frequency parameter:
Plot the solutions over time:
Neat Examples (1)
Simulate a Van der Pol model and show in a parametric plot:
Tech Notes
Related Links
Text
Wolfram Research (2018), SystemModelSimulate, Wolfram Language function, https://reference.wolfram.com/language/ref/SystemModelSimulate.html (updated 2022).
CMS
Wolfram Language. 2018. "SystemModelSimulate." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2022. https://reference.wolfram.com/language/ref/SystemModelSimulate.html.
APA
Wolfram Language. (2018). SystemModelSimulate. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SystemModelSimulate.html
BibTeX
@misc{reference.wolfram_2025_systemmodelsimulate, author="Wolfram Research", title="{SystemModelSimulate}", year="2022", howpublished="\url{https://reference.wolfram.com/language/ref/SystemModelSimulate.html}", note=[Accessed: 05-December-2025]}
BibLaTeX
@online{reference.wolfram_2025_systemmodelsimulate, organization={Wolfram Research}, title={SystemModelSimulate}, year={2022}, url={https://reference.wolfram.com/language/ref/SystemModelSimulate.html}, note=[Accessed: 05-December-2025]}