扰动法在风网解算中的应用研究

Study on application of perturbation method in resolution of ventilation network

为简化矿井通风复杂风网的解算,提出将扰动法引入到风网解算中,并介绍扰动法的原理、风网解算的基本定律;给出常见的固定风压、固定风量和给定风机性能函数3种风机工况下的扰动方程矩阵表达式及详细的计算过程;对所提风网解算方法进行实例验证。结果表明:扰动法作为固定运算次数的近似方法,在工程实际允许的误差范围内,相比于以牛顿法为代表的迭代法耗时少、不依赖初值,是1种简单实用的风网解算方法。

In order to simplify the resolution of the complex ventilation network in mine ventilation,the perturbation method was introduced into the resolution of ventilation network.The principle of perturbation method and the basic laws of ventilation network resolution were introduced.The matrix expressions and detailed calculation procedures of perturbation equations under three fan working conditions of common fixed air pressure,fixed air volume and given fan performance function were proposed,and the case verification was conducted on the proposed resolution method of ventilation network.The results showed that the perturbation method was an approximate method with fixed times of calculation,and within the allowable error range of engineering practice,compared with the iterative method represented by the Newton method,it consumed less time and did not rely on the initial value,so it is a simple and practical resolution method of ventilation network.