Existence of solutions for the network/load equations in power systems

Virtually all power-system analysis algorithms require the solution of a network/load model. During a numerical simulation of medium and long term dynamic events, this model is solved at every timestep. In all cases it is important that there exists a solution to the model. In this paper we study the quasistatic network/load models for use in steady-state and dynamic power-system analyses and present a set of sufficient conditions which ensures that the network/load model is solvable for voltages and currents.