节点分析法在风网解算中的应用

Application of Nodes Analysis in Resolution of Ventilation Network

大型风网解算时常用的回路分析法,其独立回路矩阵的计算复杂且难以理解,并且需要对雅克比矩阵进行求逆,从而导致运算量显著增加.为了解决这一问题,从基本关联矩阵出发,采用线性逼近的办法,求解用节点分析法构建的风网方程.求解过程中利用了亥姆霍兹方程的对称正定性,避免了求逆矩阵的计算资源消耗,从而获得了良好的解算效果.最后文中给出了计算方法和应用实例.

Circuits analysis is the method that be used often in resolution of huge ventilation network.As an important step,calculating independent loop matrix is complex and hard to understand.For the necessary of reversing the Jacobian matrix of this method,a significant increase in the computation is led to.In order to avoid this problem,this paper uses the basic correlation matrix and the linear approximation method to solve the wind network equation constructed by nodes analysis method.In the process of solving,the symmetric positive characterization of Helmholtz equation is used to avoid the calculation consumption during inversing matrix,and a good solution effect is obtained.In the end,the calculation steps and an example are given.