等微增率方程组的分解、n维求解和协调

Decomposition and Coordination for Equal Incremental Equations

本文将水火电联合电力系统经济调度的必要条件－等微增率方程组－作变形。作出选代格式，可分别对每一电厂作运算，形成ｎ维的修正量方程，求解这ｎ维方程后，就可分别求得具有Ｎｅｗｔｏｎ法二阶收敛速度的功率修正量。算例表明，本文的算法收敛性好，计算量少，可以精确求得满足等微增率方程组和约束条件的解。

In this paper.equal-incremental equations discribing necessary conditions of the economic operation in hydrothermal power system are transformed,and than iteration forms are presented.The computation may be implemented for each power plant seperately by forming and then solving the n-dimentions modified equations.The modified values of power possess the 2-order convergence rate.The examble shows that the calculation method is better in convergence and fewer in computation works. By this method a precision solution satisfying the equal incremental equations and restrained conditions can be obtained.