| CPC G05B 19/042 (2013.01) [G06F 17/11 (2013.01); H02J 13/00002 (2020.01); H02J 2203/20 (2020.01)] | 17 Claims |
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1. A method of state estimation for a power system, the method comprising using at least one hardware processor to:
acquire a constrained optimization problem comprising a convex first objective function to be minimized subject to one or more equality constraints;
convert the constrained optimization problem into an unconstrained convex optimization problem comprising a second objective function that is a sum of the first objective function and a parameterized potential function for each of at least one of the one or more equality constraints, wherein each parameterized potential function is defined by an equality function and a center-of-attraction parameter; and
perform a first process comprising
performing an initial iteration of a solution process to find an initial optimizing input, wherein the solution process comprises solving the unconstrained convex optimization problem by finding an input to the unconstrained convex optimization problem that minimizes an output of the unconstrained convex optimization problem, wherein one or more center-of-attraction parameters are updated when solving the unconstrained convex optimization problem to ensure that the input satisfies the one or more equality constraints within a tolerance, wherein the input represents an estimated state of the power system, and wherein the initial iteration of the solution process further comprises initializing a value of each center-of-attraction parameter in each parameterized potential function in the unconstrained convex optimization problem,
determining whether or not the one or more equality constraints are violated by the initial optimizing input,
when determining that the one or more equality constraints are not violated, outputting the initial optimizing input as an output estimated state of the power system, and
when determining that at least one of the one or more equality constraints is violated,
until the one or more equality constraints are not violated, over one or more subsequent iterations, performing the solution process, wherein the subsequent iteration of the solution process further comprises updating the value of each center-of-attraction parameter in each parameterized potential function corresponding to the one or more equality constraints, prior to solving the unconstrained convex optimization problem, and
outputting the input found by the solution process in a final one of the one or more subsequent iterations as the output estimated state of the power system.
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