# Phase Coordinates Method: Short Circuit with Break Model

Some complex types of damage can occur in power lines, for example, a short circuit with a wire break. This mode can occur when a wire of any phase falls to the ground (Fig. 1). Fig. 1. Single phase short circuit with phase failure

This complex damage can be considered as a simultaneous combination of two modes: short circuit and open circuit in the same phase. In phase coordinates, the location of damage can be represented as a cascade connection of two multipoles, one of which is a direct transmission matrix of the fault location, the other is a direct transmission matrix of the breakage model (Fig. 2). Fig. 2. Equivalent circuit of a single-phase short circuit with phase failure

The equivalent damage direct transmission matrix will be determined by the formula

Af = A1A2,

where A1 is the direct transfer matrix of the short circuit model; matrix calculation is presented here; A2 – direct transfer matrix of the break model; matrix calculation is presented here.

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