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Investigation on singularity of stochastic differential algebraic power system model

This paper presents the results of the investigation of the singularity of power systems with random loads. The power system is modeled with stochastic differential algebraic equations (SDAE). This is the extension of singularity induced bifurcation analysis in the deterministic DAE model. This paper explores the probability of loss of voltage causality. The WECC 3-machine-9-Bus system is used to illustrate the impact of diffusion coefficients on voltage stability.