Abstract:

When power network losses are assumed to be constant, an analytical solution was proposed to solve the economic dispatch problem given the unit consumption characteristics are convex. However, as the losses are actually varying with the outputs of the power generating units, the previous analytical method cannot be applied directly. Fortunately, based on the convexity of losses related to the unit's power output as well as power flow equations, this paper proposes a fast-analytical method for economic dispatch with consideration of network losses. The proposed method converts the problem into several economic dispatch problems with constant losses and the optimal solution can be found in monotone finite algebraic calculus.

Key words: power systems, economic dispatch, power network losses, convexity