Bài giảng Tối ưu hóa vận hành hệ thống điện - Chapter 3: Economic Dispatch and solution methods - Võ Ngọc Điều

(Bản scan)

Principles • the Lagrange function establishes the necessary conditions for

finding an extrema of an objective function with constraints • taking the first derivatives of the Lagrange function with

respect to the independent variables allows us to find the extreme value when the derivatives are set to zero . • there are NE+N, derivatives, one for each independent variable

and one for each equality constraint • the derivatives of the Lagrange function with respect to the

Lagrange multiplier i merely gives back the constraint equation • the N, partial derivatives result in