计算燃气组分的新方法——几何规划法

A New Method of Calculating Constituents of Combustion Products——Method of Geometric Programming(MGP)

本文应用几何规划理论和方法处理磁流体发电装置中燃烧产物组分的计算问题。依据变分原理和化学平衡组分自由能最小值原理,论述了与之相关的几何规划理论和方法,论证并建立了自由能G的几何规划问题,求得对偶函数的极大值,从而得到自由能的极小值,满足给定的约束条件,解出诸组分。应用几何规划法可使求解的大型非线性方程组所含的方程个数大大减少,且解的精度也较高。文中的算例,表明了应用此法的优点。

The principles and methods of geometric programming are adopted to deal with the calculation of compositions of combustion products in MHD system.Some concepts and theorems of geometric programming are introduced and discussed.According to the princi- ples of variation and minimization of Gibbs free energy in equilibrium state,a mathematic model of geometric programming is presented,and the process of solution is explained also. Using the MGP,a system of 40～50 equations is reduced to a system of ten odd equations,so that the amount of computing work is reduced greatly.A calculating example is carried out. The data obtained are in agreement with the data in other corresponding literatures.