Gyrator

Ideal gyrator: i1 = G2·v2, i2 = −G1·v1.

  • electrical
  • Modelica Standard Library
  • 4 ports
  • 2 parameters
BlockGyratorKindgyratorLibraryElectrical

Description

An ideal gyrator: the current at each port is set by the voltage at the other. It turns a capacitor on one side into an inductance on the other, and conserves power when G1 = G2.

Example

Controlled sources Voltage- and current-controlled sources and a gyrator, each driving a 10 Ω load.

1 V AVCVS ×2Load Av AGround AGround A out1 V BVCCS 0.1 SLoad Bv BGround BGround B out1 V C1 Ω CCCVS 10 ΩLoad Cv CGround CGround C out1 V D1 Ω DCCCS ×3Load Dv DGround DGround D out1 V EGyrator 1 SLoad Ev EGround EGround E out
In Gradara, select a Gyrator block and press F1, then choose Open example. It opens as a new model in My models, ready to run.

Also in this example:DC voltageVoltage sensorGroundResistorVoltage-controlled voltage sourceVoltage-controlled current sourceCurrent-controlled voltage sourceCurrent-controlled current source

Ports

Conserving terminals 4

  • 1+p1electrical

    Port 1 positive pin. Current into p1 is i1.

  • 1−n1electrical

    Port 1 negative pin.

  • 2+p2electrical

    Port 2 positive pin. Current into p2 is i2.

  • 2−n2electrical

    Port 2 negative pin.

Parameters

  • Gyration conductance 1G11 S

    Gyration conductance from port 1 voltage to port 2 current, in siemens.

  • Gyration conductance 2G21 S

    Gyration conductance from port 2 voltage to port 1 current, in siemens.

Equations

Modelica
v1 = p1.v − n1.v, i1 = p1.i, p1.i + n1.i = 0
v2 = p2.v − n2.v, i2 = p2.i, p2.i + n2.i = 0
i1 = G2 · v2
i2 = −G1 · v1

Implementation

Modelica Standard Library 4.1.0Modelica.Electrical.Analog.Basic.Gyrator
MSL documentation

Tips

  • A capacitor C on port 2 appears at port 1 as an inductance C / (G1 · G2).

See also

Select a block in Gradara and press F1 to open its page offline.