As power system loads transition from constant power to constant impedance, equilibrium counts and the topological complexity of the algebraic manifold increase dramatically, but mostly on unstable components.
Holomorphic embedding based continu ation method for identifying multiple power flow solutions,
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Influence of Load Models on Equilibria, Stability and Algebraic Manifolds of Power System Differential-Algebraic System
As power system loads transition from constant power to constant impedance, equilibrium counts and the topological complexity of the algebraic manifold increase dramatically, but mostly on unstable components.