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.
Geometrical structure of constraint manifold in power system differential-algebra ic model,
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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.