MATLAB Examples

Model a lithium cell using the Simscape™ language to implement the elements of an equivalent circuit model with two RC branches. For the defining equations and their validation, see T.

An ideal AC transformer plus full-wave bridge rectifier. It converts 120 volts AC to 12 volts DC. The transformer has a turns ratio of 14, stepping the supply down to 8.6 volts rms, i.e.

Models a vapor-compression refrigeration cycle using two-phase fluid components. The compressor drives the R-134a refrigerant through a condenser, an expansion valve, and an

The usage of thermal blocks for developing a model of a long iron rod that is heated with a heat source through face A. Face B and the outer cylindrical surface are open to atmosphere and

Model a simple house heating system. The model contains a heater, thermostat, and a house structure with four parts: inside air, house walls, windows, and roof.

Two models of a double mass-spring-damper, one using Simulink® input/output blocks and one using Simscape™ physical networks.

Model a lead-acid battery cell using the Simscape™ language to implement the nonlinear equations of the equivalent circuit components. In this way, as opposed to modeling entirely in

This model is based on a Faulhaber Series 0615 DC-Micromotor. The parameters values are set to match the 1.5V variant of this motor. The model uses these parameters to verify

Model a basic engine cooling system using custom thermal liquid blocks. A fixed-displacement pump drives water through the cooling circuit. Heat from the engine is absorbed by the water

Model a lithium cell using the Simscape™ language to implement the elements of an equivalent circuit model with one RC branch. For the defining equations and their validation, see T. Huria,

Model shows how the Thermal Liquid foundation library can be used to model water hammer in a long pipe. After slowly establishing a steady flow within the pipe by opening a valve accordingly,

A model of a system that connects rotational and translational motion. A summing lever drives a load consisting of a mass, viscous friction, and a spring connected to its joint C. Joint B is

A solenoid with a spring return. The solenoid is modeled as an inductance whose value L depends on the plunger position x. The back emf for a time-varying inductance is given by:

How the thermal behavior of a brushless servomotor can be simulated using a lumped parameter model. Heat generated due to power losses in the stator iron stack, stator winding and rotor is

How the Foundation library can be used to model systems that span electrical, mechanical and hydraulic domains. In the model, a hydraulic system controls mechanical load position in

A mass attached to a spring and a viscous damper. The mass is driven by an ideal velocity source through a friction element. The motion profile of the source is selected in such a way that

The use of the Simscape™ Lever block in a linkage mechanism. Lever 1 and Lever 4 are first class levers with the fulcrum at the end. Lever 3 is a second class lever with the fulcrum in the middle.

How the Foundation Library gas components can be used to model a controlled pneumatic actuator. The Directional Valve is a masked subsystem created from Variable Local Restriction (G)

Model a transformer using fundamental magnetic library blocks. The transformer is rated 50W, 60 Hz, 120V/12V and assumed to have an efficiency of 94%, no-load magnetizing current of 1% and a

Two models of an RC circuit, one using Simulink® input/output blocks and one using Simscape™ physical networks.

This model shows the use of a small-signal equivalent transistor model to assess performance of a common-emitter amplifier. The 47K resistor is the bias resistor required to set nominal

A model of a shunt motor. In a shunt motor, the field and armature windings are connected in parallel. Equivalent circuit parameters are armature resistance Ra = 110 Ohms, field resistance Rf

Model a solenoid with spring return. When unpowered, the spring pulls the plunger +5mm away from the center of the coil. Turning on the power supply at t=0.1 seconds pulls the plunger into the

How a pneumatic vane motor can be modeled using the Simscape™ language. The Pneumatic Motor component is built using the Simscape Foundation gas domain. It inherits from the

This model shows a mechanical rotational system with stick-slip friction. An inertia is connected to a fixed point by spring and damper. The inertia is driven by a velocity source via a

Model shows the opposing effects of viscous warming and conductive cooling on the temperature of a buried pipeline segment for heated oil transportation. A requirement for these systems is

Two masses connected by a hard stop. Mass 1 is driven by an Ideal Velocity Source. As the velocity input changes direction, Mass 2 will stay at rest until Mass 1 reaches the other end of the

A two-way valve acting in a closed-loop circuit together with a double-acting cylinder. The controller is represented as a continuous-time transfer function plus a transport delay. The

Model a circuit breaker. The electromechanical breaker mechanism is approximated with a first-order time constant, and it is assumed that the mechanical force is proportional to load

A starting point for creation of a new electrical model. The model also opens an Electrical Starter Palette that shows how you can create your own customized library that also provides links

An implementation of a nonlinear inductor where the inductance depends on the current. For best numerical efficiency, the underlying behavior is defined in terms of a current-dependent

Model shows how Foundation Library thermal liquid components can be used to estimate the impact of viscous losses on an actuating system's temperature over a long time scale. A pump supplies

Simulate a battery pack consisting of multiple series-connected cells in an efficient manner. It also shows how a fault can be introduced into one of the cells to see the impact on battery

Two models of a mass-spring-damper, one using Simulink® input/output blocks and one using Simscape™ physical networks.

This model shows an implementation of a nonlinear bipolar transistor based on the Ebers-Moll equivalent circuit. R1 and R2 set the nominal operating point, and the small signal gain is

This model shows a standard inverting op-amp circuit. The gain is given by -R2/R1, and with the values set to R1=1K Ohm and R2=10K Ohm, the 0.1V peak-to-peak input voltage is amplified to 1V

Model the vaporization of water to generate steam. Liquid water enters the pipe at 370 K at a rate of 1 kg/s. The pipe is heated to 1000 K, causing the water flowing inside pipe to saturate.

This model shows a differentiator, such as might be used as part of a PID controller. It also illustrates how numerical simulation issues can arise in some idealized circuits. The model runs

Two models of a cascaded RC circuit, one using Simulink® input/output blocks and one using Simscape™ physical networks.

A physical system model and controller configured for HIL testing. It is derived from example Hydraulic Actuator with Digital Position Controller,

This model shows a noninverting op-amp circuit. The gain is given by 1+R2/R1, and with the values set to R1=1K Ohm and R2=10K Ohm, the 0.1V peak-to-peak input voltage is amplified to 1.1V

How higher fidelity or more detailed component models can be built from the Foundation library blocks. The model implements a band-limited op-amp. It includes a first-order dynamic from

How two-phase fluid components can be used to simulate cavitation. The model is a translational mechanical converter driven by an oscillating pressure source. During the negative load

How higher fidelity or more detailed component models can be built from the Foundation library blocks. The Op-Amp block in the Foundation library models the ideal case whereby the gain is

A controlled mass-spring-damper. A controller adjusts the force on the mass to have its position track a command signal. The initial velocity for the mass is 10 meters per second. The

This model shows how the fluid in a custom double acting cylinder can cavitate and recover. During the repeating cycle of oscillating pressure, the absolute pressure does not get below

The choking behavior of a gas orifice modeled by the Local Restriction (G) block. The Controlled Reservoir (G) blocks are used to set up controlled pressure and temperature boundary

Models a gas turbine auxiliary power unit (APU) based on the Brayton Cycle. The Compressor and Turbine blocks are custom components based on the Simscape™ Foundation Gas Library. The power

Models a ventilation circuit in a building. The air volume inside the building is divided into four zones. The ventilation unit blows cool air into Zone 1 and extracts air from Zone 3. The

How the Simscape™ Foundation Library moist air components can be used to model a pneumatic actuator operating in a humid environment. The Directional Valve is a subsystem composed of four

Models moist air flow in a vehicle heating, ventilation, and air conditioning (HVAC) system. The vehicle cabin is represented as a volume of moist air exchanging heat with the external

The response of a DC power supply connected to a series RLC load. The goal is to plot the output voltage response when a load is suddenly attached to the fully powered-up supply. This is done

Models an aircraft environmental control system (ECS) that regulates pressure, temperature, humidity, and ozone (O3) to maintain a comfortable and safe cabin environment. Cooling and

Models a steam turbine system based on the Rankine Cycle. The cycle includes superheating and reheating to prevent condensation at the high-pressure turbine and the low-pressure turbine,

Models a positive-pressure medical ventilator system. A preset flow rate is supplied to the patient. The lungs are modeled with the Translational Mechanical Converter (MA), which

Models an oxygen concentrator device coupled to a lung model. One of the two sieves filters out nitrogen from the air to produce concentrated oxygen in the product tank. The two sieves

Models a vapor-compression refrigeration cycle in which the high pressure portion of the cycle operates in the supercritical fluid region. The refrigerant is carbon dioxide (CO2), also

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