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Gyrator

R2026b

Ideal gyrator in electrical systems

  • Gyrator block

Libraries:
Simscape / Foundation Library / Electrical / Electrical Elements

Description

Gyrators can be used to implement an inductor with a capacitor. The main benefit is that an equivalent inductance can be created with a much smaller physically sized capacitance. In practice, a gyrator is implemented with an op-amp plus additional passive components.

The Gyrator block models an ideal gyrator with no losses, described with the equations

I1=G·V2

I2=G·V1

where:

  • I1 is the current flowing into the + terminal of the primary winding.

  • I2 is the current flowing out of the + terminal of the secondary winding.

  • V1 is the voltage across the primary winding.

  • V2 is the voltage across the secondary winding.

  • G is the gyration conductance.

The two electrical networks connected to the primary and secondary windings must each have their own Electrical Reference block.

Variables

To set the priority and initial target values for the block variables prior to simulation, use the Initial Targets section in the block dialog box or Property Inspector. For more information, see Set Priority and Initial Target for Block Variables.

Nominal values provide a way to specify the expected magnitude of a variable in a model. Using system scaling based on nominal values increases the simulation robustness. Nominal values can come from different sources, one of which is the Nominal Values section in the block dialog box or Property Inspector. For more information, see Modify Nominal Values for a Block Variable.

Ports

Conserving

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Electrical conserving port associated with the positive terminal of the primary winding.

Electrical conserving port associated with the negative terminal of the primary winding.

Electrical conserving port associated with the positive terminal of the secondary winding.

Electrical conserving port associated with the negative terminal of the secondary winding.

Parameters

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The gyration conductance constant, G.

Extended Capabilities

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C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced in R2008a