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Load models have a great impact on voltage behaviors as well as power systemtransient dynamics. Extensive work has been done on this topic, proposingappropriate load models and capturing better load behaviors during transient.This paper presents a comprehensive study to investigate the geometric andtopological changes induced by different load models for the traditional powersystem differential-algebraic equations. Specifically, we attempt to reveal thedeformation of equilibria, stability regions, and algebraic manifolds during acontinuous evolution of load model. Several findings are presented in thepaper, some of which countering traditional recognitions and intuitions. Amajor discovery is that the load model with a large proportion of constantimpedance and a small proportion of constant power exhibits much more complexfeatures than the load model with the reversed proportions of impedance andpower. The increase of complexity is thoroughly recorded and investigated bythe changes of geometric properties and mutations of topological invariants inthe sense of equilibria, stability regions, and algebraic manifolds for the DAEsystem. However, most of the changes seem to occur on unstable components ofalgebraic manifolds or near the singular boundary surfaces, suggesting alimited variation of dynamical behaviors on the stable component.

Influence of Load Models on Equilibria, Stability and Algebraic Manifolds of Power System Differential-Algebraic System