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Ideal gyrator in electrical systems


Electrical Elements

  • Gyrator block


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 following equations:




V1Input voltage
V2Output voltage
I1Current flowing into the input + terminal
I2Current flowing out of the output + terminal
GGyration conductance

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


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.


Gyration conductance

The gyration conductance constant G. The default value is 1.


The block has four electrical conserving ports. Polarity is indicated by the + and – signs. Ports labeled 1+ and 1– are connected to the primary winding. Ports labeled 2+ and 2– are connected to the secondary winding.

Extended Capabilities

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

Version History

Introduced in R2008a