Calculate peak-to-peak current ripple in a boost converter, used to step up voltage from a lower level to a higher level.

Build a control system for a Segway constructed out of LEGO Mindstorms NXT components.

This model allows you to analyze how a battery responds to thermal conditions as well as to charge and discharge cycles.

Compare efficiency for a switched-mode DC-to-DC converter with a linear Zener regulator.

Find the optimal way between two points for an industrial robot arm.

Buck-boost converters are used both to step up voltage from a lower level to a higher level and to step down voltage from a higher level to a lower level. Buck-boost converters can be found in applications where the supply voltage changes over time, such as battery-powered applications.

Study how a fast (quasi-stationary) model of a direct current permanent magnet (DCPM) motor behaves differently compared to a fully transient one.

Flip‐flops are digital logic circuits commonly used in processes where there is a need for digital data storage and transfer. In this example we will use the Digital library, a part of the Modelica Standard Library, to demonstrate the use of basic logic gates in a pulse‐triggered master‐slave flip‐flop.

Control an experiment in real time with input from Mathematica.

Binary adders are digital circuits often used in computers for basic arithmetic operations. Using the digital library in the standard Modelica library, we have constructed an 8-bit adder that takes two 8-bit integers and calculates their sum.

Counters are used in a variety of digital applications as a way of counting events. In this example, we have constructed a simple 4-bit asynchronous up-counter using the Digital library, which is a part of the Modelica Standard Library.

A model can be used for many things, and one of them is the possibility to calculate the reliability for the system modeled. With information about the lifetime of each component, the lifetime of the complete system can be studied. In this example, we look at how heat affects the mean time to failure (MTTF) for an amplifier.

An Uninterruptible power supply (UPS) is used to protect electrical devices such as computers from power failures, when the main power fails. Using a model where both the physical behavior and the reliability is modeled, conclusions can be drawn about both the switching behavior and the system reliability.

Linearization makes it possible to use tools for linear systems to study nonlinear systems around an operating point. In this example, an inverted pendulum is linearized around its upright position. The goal is to analyze the behavior of the controlled inverted pendulum system for varying lengths of the pendulum.

Many applications require direct current, DC. However, transporting direct current through the power lines has several disadvantages compared to alternating current, AC. AC can be used in transformers and allows for higher-efficiency power conversion and transmission. For the electricity found in power outlets to be used in DC circuits, it first needs to be converted into direct current. One way to do this is to use a full-wave bridge rectifier.

Potentiometers, also known as pots, are useful electrical components that allow a person or a machine to directly tune the voltage or resistance in one part of a circuit.

This model analyzes the robustness of a state estimator, taking measurements from an electrical radiator. The state estimator blends together different measurements and a model of the system in order to estimate the current radiator temperature. To evaluate the robustness, noise is added using blocks from the Modelica.Noise library.

This example will demonstrate how you can use Model Plug to create your own Pong game, played with external controllers. This is a very playful example, but it highlights how easy the connection to external hardware becomes when using the Model Plug library.

Implement the V-model for control system design, deployment and testing. Model your system in System Modeler, then design a controller in the Wolfram Language. Use the Microcontroller Kit to generate automated code and deploy it into a microcontroller. Subsequently, validate your standalone model with the control targets. This example shows how to design, deploy and test a PID controller to balance a ball on a beam.

Digital circuits are everywhere, from personal computers to smart TVs. In this example, you will learn how digital circuits work and create some basic circuits. Finally, you will test your digital circuits by connecting to hardware using Arduinos.

Combinational circuits are used to perform Boolean algebra on input signals and on stored data. They are made up of basic logic gates that are combined to produce powerful switching circuits. In this example, you will create a 3-bit adder and connect to hardware using Arduinos.

Sequential circuits are widely used in modern devices such as computers and smartphones to store information. In this example, you will learn to design memory elements like latches and flip-flops that can store binary information.

Digital adders are used in the arithmetic logic units (ALU) that are a fundamental building block of CPUs and GPUs. In this example, you will design a half adder and a full adder and combine them to form adder units of any bit size.