Extended Moore-Spence Equations Based Reduced Method for Computing Bifurcation Points of Power System Model

For differential-algebraic power systems, saddle-noddle bifurcation and Hopf bifurcation are both of universally existent phenomena in power systems. Usually Newton iteration method could be applied to the Moore-Spence system to compute saddle-noddle and Hopf bifurcation points directly. But the Moore-Spence system has very high dimension and causes much complexity in Jacobian matrix factorization. By introducing an auxiliary variable and an auxiliary equation to form an extended Moore-Spence system, this paper derives an effective matrix reduction technique. The high dimensionality of Jacobian matrix can thus be reduced and the complexity involved in matrix factorization can be simplified.