粒子群简介英文

Solution to Economic Dispatch by Equal Incremental Cost Criterion

RM Saloman danaraj EEE Department

Jubail Industrial Collge, Jubail,Kingdom Of Saudi Arabia.

Mail:salorajan@gmail.com

1. Introduction

.

Economic load dispatch problem is allocating loads to plants for minimum cost while meeting the constraints. It is formulated as an optimization problem of minimizing the total fuel cost of all committed plant while meeting the demand and losses .The variants of the problems are numerous which model the objective and the constraints in different ways.

The basic economic dispatch problem can described mathematically as a minimization of problem of minimizing the total fuel cost of all committed plants subject to the constraints. ∑=n i i P Minimize 1i )(F

(A1)

)(i i P F is the fuel cost equation of the ‘i’th plant. It is the variation of fuel cost ($ or Rs) with generated power (MW).Normally it is expressed as continuous quadratic equation. max min 2 ,)(i i i i i i i i i ij P P P c P b P a P F ≤≤++= (A2) The total generation should meet the total demand and transmission loss. The transmission loss can be determined form either B mn coefficients or power flow.

l n i i P D P

+=∑=1

(A3) ∑∑=n

i n j j i ij l P P B P

(A4)