Closed Form Solution of Synchronous Machine Short Circuit Transients

Abstract

Abstract. This paper presents the closed form solution of the synchronous machine transients undergoing short circuit. That analytic formulation has been derived based on linearity and balanced conditions of the fault. Even though restrictive, the proposed method will serve somehow or other as a new resource for EMTP productivity. Indisputably superior, the closed-form formulation has some features inimitable by discretization such as continuity, accuracy and absolute numerical stability. Moreover, it enables us to calculate states at one specific instant independent of previous states or a snapshot, which any discretization methods cannot do.

The All-DQ-Domain EMTP

“…To be noted, as To conclude this section, it can be stated that either machine or network element has its dq0-axis decoupled. An all-dq0-domain modeling was introduced for the first time in [14].…”

“…Fault impedance is more natural to be represented in phase domain in input. The differential equation of a fault in phase domain can be written as follows r are diagonal-matrix and time invariant [13][14] so that after having been discretized the fault equation can be incorporated straight-forwardly to (20), once at the initialization stage. Otherwise, those fault parameters are full-matrix and time-variant.…”