Analysis & Design with Mathematica

Bring the full power of Mathematica to your model analysis. Programmatically control SystemModeler simulations and use built-in functions for finding model equilibria, linearizing models, and more. Perform model calibration and system optimization using Mathematica's symbolic and numerical features, and present your results with advanced graphics and interactivity.

Programmatic Simulation Control

Get complete control over SystemModeler simulations from within Mathematica's interactive notebook environment. Programmatically specify initial conditions, parameter values, and input signal functions. Sweeps of simulations across sets of parameter values automatically run in parallel.

Optimization & Design

Use Mathematica to help plan the geometry of 3D mechanical systems, prototype equation-based custom components, and more. Once the model is assembled in SystemModeler, use Mathematica to find optimal model parameters. Easily create custom user interfaces for manual exploration, numerical experimentation, and tuning.

Plotting & Custom Visualization

Plot variables and sensitivity bands directly from simulation results. SystemModeler simulation results are immediately available in a standard interpolating function format, suitable for use in any of Mathematica's visualization functions. Create custom graphics, animations, and customizable user interfaces for running simulations and visualizing the results.

Computable Data

Directly import Modelica model files and saved SystemModeler simulation results into Mathematica. Import and export data in any of 100+ formats natively supported by Mathematica, including input data formats of Modelica Standard Library components. Simulate models under realistic conditions by programmatically accessing Wolfram|Alpha's huge collection of data on weather, earthquakes, tides, and hundreds of other areas. Export graphics and animations in all standard image and multimedia formats.

Model Calibration

Fit free parameters by calibrating models against real-world data. Explore the parameter space by running SystemModeler simulations from Mathematica. Find the best-fitting parameter values using Mathematica's optimization features, and programmatically insert them back into the SystemModeler model.

Sensitivity Analysis

Simulate models while obtaining the sensitivity of system variables with respect to specified parameters. Sensitivity band plotting is built in. Discover which system variables are most sensitive to parameters of interest or which parameters have the greatest effect on system behavior.

Real-Time Simulation Interface

View simulation results as they happen in Mathematica. Send control signals to a simulation using interactive controls and gauges in Mathematica. Connect your own hardware devices and use them together with the simulation. Visualize your results in real time by creating interactive dashboards for your simulations.

System Reliability

Augment Modelica models in SystemModeler with annotations describing component lifetimes and system configuration. The system reliability can be studied in Mathematica, and conclusions can be drawn as to which components should be improved to improve overall reliability, or which components could have a lower reliability without compromising system reliability.

All of Mathematica

SystemModeler model equations and simulation results are accessible in Mathematica in a completely native form, immediately suitable for use with Mathematica's large collections of algorithms for symbolic and numerical mathematics. Mathematica is well suited for model analysis with powerful statistics.

Model Creation

Prototype components based on physical equations in Mathematica before exporting them to SystemModeler. Models can be defined in terms of equations, state-space models, or transfer functions, and can be built on top of models from Modelica libraries. Connect models together in networks directly from Mathematica.

Model & Equation Analysis

Access model equations and properties from Mathematica and use its symbolic mathematics functions to perform analyses on system equations such as finding closed-form solutions, investigating approximate solutions, or solving for optimal parameter values or special states. Automatically perform constrained or unconstrained searches for equilibrium states.

Control System Design

A full suite of control systems features is built into Mathematica, including stability and frequency analysis, visualization, and controller design. Automatically linearize SystemModeler models into Mathematica's standard state-space representation for linear time-invariant (LTI) systems. Use numerical model linearization, or preserve named parameters for further symbolic analysis.

Notebook Environment

The Mathematica environment is designed to make exploration and analysis as efficient as possible. Entering commands into a Mathematica notebook automatically creates a record of your work that can be shared with colleagues or reused and improved for future analyses. Notebooks combine code, data, explanatory text, plots and graphics, and interactive elements in a single platform-independent document format.

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