Wirtinger-based Jacobian yields explicit singularity condition extended to all bus types, with bus-wise index C_W where min C_W,i > 1 certifies nonsingularity and gives a fast stability margin.
Mat- power: Steady-state operations, planning, and analysis tools for power systems research and education
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A Wirtinger Power Flow Jacobian Singularity Condition for Voltage Stability in Converter-Rich Power Systems
Wirtinger-based Jacobian yields explicit singularity condition extended to all bus types, with bus-wise index C_W where min C_W,i > 1 certifies nonsingularity and gives a fast stability margin.