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Gyrator (Closed Form): GYR8R

Symbol

Parameters

Name Description Unit Type Default
ID Name Text U1
R Gyrational resistance Resistance 50 ohm

Implementation Details

The gyrator is defined by either Y or Z parameters:

or by the defining equations:

V1=-RI2

V2=RI1

A gyrator is a noiseless element. Although the gyrator is a relatively useless element by itself, it can be used to realize elements such as ideal transformers, voltage-controlled voltage sources, and current-controlled sources, which do not have nodal representations and therefore cannot be represented directly within the program.

These elements can be represented as a cascade of one or more gyrators and VCCS elements. The forms are as shown below.

Element Form Transfer function
Transformer Gyr 1 * Gyr 2 n : 1 = R 1 / R 2
CCCS Gyr * VCCS I 2 / I 1 = R * G m
VCVS VCCS * Gyr V 2 / V 1 = - G m * R
CCVS Gyr 1 * VCCS * Gyr 2 V 2 / I 1 = - G m * R 1 * R 2

A gyrator can also realize an ideal circulator. The most practical form (of several possible) is shown below; R is equal to the port impedance and the direction of circulation is from port 1 to port 2 to port 3. An ideal isolator can be realized by connecting a resistor of resistance R to port 3.

NOTE: It is possible for very simple circuits using gyrators to have no nodal representation; such circuits may generate error messages. Because it is nearly impossible to trap all such errors, the user must assume the primary responsibility for preventing them.

Layout

This element does not have an assigned layout cell. You can assign artwork cells to any element. See “Assigning Artwork Cells to Layout of Schematic Elements” for details.

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