Mathematical Models and Numerical Simulation in Electromagnetism by Alfredo Bermúdez Dolores Gómez & Pilar Salgado

Mathematical Models and Numerical Simulation in Electromagnetism by Alfredo Bermúdez Dolores Gómez & Pilar Salgado

Author:Alfredo Bermúdez, Dolores Gómez & Pilar Salgado
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham


For ∈ ℜ, let be such that

Then, the corresponding reduced vector of potentials is

Now let us define ∈ ℜ R by

Then

In this context, the R×R matrix

(10.69)

will be called the reduced impedance matrix while vectors and are called the reduced current intensities and the reduced potentials, respectively.

We notice that the space of reduced potentials is exactly Im( ) because D is invertible and rank(S) = R. This implies that is also invertible. Its inverse matrix is called reduced admittance matrix.

Example 10.1. The goal of this example is to analyze busbars like the ones shown in Figs. 10.2 and 10.3.



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