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

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