Engee documentation

kuroda

Applies a transformation based on Kuroda’s identities.

Library

EngeeRF

Syntax

Function call

Kuroda’s identities can only be applied to circuits in which all the negative terminals of the ports are connected to a common node.

Arguments

Input arguments

# inObj — RF circuit

+ the circuit object

Details

RF circuit defined as an object circuit. One of the elements of the object circuit maybe an object txlineElectricalLength.

# EL1 is the first element

+ the txlineElectricalLength object | scalar

Details

The first element of the chain inObj, set as an object txlineElectricalLength or a scalar. The scalar value indicates the index of the element in the chain. This element must be connected in series with the second element specified in Kuroda’s transformation.

# EL2 is the second element

+ the txlineElectricalLength object | scalar

Details

The second element of the chain inObj, set as an object txlineElectricalLength or a scalar. The scalar value indicates the index of the element in the chain. This element must be connected in series with the first element specified in Kuroda’s transformation.

# EL3 — the third element

+ the nport object | scalar

Details

The third element of the chain inObj, set as an object nport or a scalar. An object nport specifies the ideal transformer, and the scalar value indicates the index of the element in the circuit.

The ideal transformer is realized using a two-port element nport with S-parameter data corresponding to an ideal transformer 1:N or N:1. The transformer must be passive, lossless and frequency independent. The S-parameter data must meet the following conditions S12 = S21 and S12 = N × (1 + S11), where N — the number of turns of the transformer.

This element must be connected sequentially to the first two elements specified in Kuroda’s transformation.

Output arguments

# outObj — chain element

+ the circuit object

Details

The chain element returned as an object circuit.

Algorithms

Kuroda’s Transformation

Details

The figure shows how to transform Kuroda or Kuroda identity ( ) are applied to a parallel capacitor, a parallel inductor, a series capacitor, or a series inductor [1].

kuroda en

Literature

  1. Pozar, David M. Microwave Engineering. 4th ed. Hoboken, NJ: Wiley, 2012.