Unique Symbolic Factorization for Fast Contingency Analysis Using Full Newton–Raphson Method

Contingency analysis plays an important role in assessing the static security of a network. Its purpose is to check whether system can operate safely when some elements are out service. In real-time application, computational time required perform calculation paramount for operators take immediate actions prevent cascading outages. Therefore, numerical performance contingency main focus this current research. power flow calculation, solving network equations with sparse matrix solver, most spent factorizing Jacobian matrix. terms computation time, symbolic factorization costliest operation LU (Lower-upper) process. This paper proposes novel method only one using full Newton–Raphson-based generic formulation and modular approach (GFMA). The retained be used during iterations any scenario. A computer study demonstrates that reusing same greatly reduces improves performance. Power assessment under N-1 N-2 conditions performed IEEE standard 54-bus 108-bus evaluate proposed method. comparison conventional shows shortened considerably, minimum gain 228%. comparative solution has better large-scale networks.