OPTIMUM POWER FLOW CALCULATING SYSTEM BASED ON NONLINEAR PROGRAMMING METHOD

摘要

PROBLEM TO BE SOLVED: To enable quick convergent solution of an unconstrained minimization problem through Newton's method, by calculating a Jacobian matrix in advance through a power equation of the constraint with a demand balance, and by calculating gradient vectors and a Hessian matrix through using the Jacobian matrix.;SOLUTION: After setting initial values (step 1), the unconstrained minimization of an extended Lagrange's function is executed subsequently, to denote the solution thereof by Kk (step 2). The comparisons of the specific values using the solution Xk with a threshold βCk are executed to check violation quantities with respect to an inequality constraint I or an equality constraint J. At this time, after calculating a Jacobian matrix in advance through a power equation of the constraint burdened by a demand balance, it is used to calculate gradient vectors and a Hessian matrix by Newton's method (step 3). Furthermore, by calculating search vectors dk (step 4), a linear search is conducted, and by calculating a step width t, the modifications of variables added by tdk are executed (step 5). Thereby, the optimum solution of a power flow can be calculated in a short time.;COPYRIGHT: (C)2001,JPO