Introduction to Nonlinear Circuits and Networks by Bharathwaj Muthuswamy & Santo Banerjee

Author:Bharathwaj Muthuswamy & Santo Banerjee
Language: eng
Format: epub
ISBN: 9783319673257
Publisher: Springer International Publishing

(3.104)

The equations above constitute the node equation of the circuit in Fig. 3.17. But since these equations are nonlinear, they cannot be described by a node-admittance matrix.

Consider now the general case where the circuit may contain two-terminal, multi-terminal, and/or multi-port nonlinear voltage-controlled resistors, in addition to independent current sources. In this case, the branch equations now assume the following form:

(3.105)

In vector notation we have:

(3.106)

called the nonlinear branch equation . Since independent current sources do not form cut sets (by assumption), Eq. (3.89) remains valid. Substituting Eq. (3.106) for i in Eq. (3.89), we get:

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