Solving for all the solutions of power systems equations

A numerically efficient algorithm to find all the solutions to power system equations is presented. This algorithm is based on the analysis of the topological structures of the solution set defined by the parameterized power system equations, and is guaranteed to find all the solutions. The significance of this algorithm is that its computational complexity is proportional to the product of the system size and the number of solutions the system actually has. Numerical results are provided to demonstrate the performances of the algorithm.<
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