Least square approach for voltage control optimization

The author describes a procedure for determination of optimum voltage control using the quadratic optimization technique based on the least squares method. The approach is capable of handling generalized optimization problems with the number of variables greater/equal, less than number of constraints. These constraints can be linear or nonlinear but can be modeled as quadratic forms of voltage. Although the power system models are nonconvex, nonconcave, and nonlinear, the optimization scheme determines the feasible and global optimum points. The method is based on the sensitivity method with first order approximation of Taylor series to achieve the necessary and sufficient conditions extended from Kuhn Tucker conditions. To satisfy the generalized optimization scheme, the method is specialized to use a least squares method for the determination of unknown quantities.<>