The topological formulae for the determinants of the admittance matrices of electrical circuits with multiports

摘要

Topological formulae for the determinants and algebraic complements for the admittance matrices of cross-sections and for the contour impedance matrices of an electrical circuit with multiports are proposed. The formulae can be used to describe an electrical circuit using the method of cross-section voltages and the method of contour currents. Examples of using the proposed topological formulae are given.