17.6 KIRCHHOFF'S LAWS IN FUNDAMENTAL CIRCUIT MATRIX FORMULATION

17.6.1 Kirchhoff's Voltage Law and the Bf Matrix

Kirchhoff's Voltage Law states that the algebraic sum of voltage variables around any loop in an electrical network is zero on an instant-to-instant basis. A loop is assigned a direction of traversal before the row corresponding to this loop is filled in the Ba matrix. If a branch is traversed in the same direction as its orientation, its voltage variable enters the KVL sum with a positive sign. If it is traversed in the direction opposite to its orientation, its voltage variable enters the KVL sum with a negative sign. But these signs are already available in the Ba matrix entries. Thus, the KVL equation for a loop can be obtained ...

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