矿井通风网络的最小能量原理

PRINCIPLE OF MINIMUM ENERGY REQUIRED FOR A MINE VENTILATION NETWORK

本文通过将风网平衡方程式化成等价的非线性规划问题,证明了通风网络系统平衡时,各分支的损失能量之和为最小,指出了用节点压力法求解风网平衡方程的能量意义,同时给出了风网平衡方程解的唯一性结论,最后以一实例说明。

By converting a balance equation for the branch ventilation network into a problem of equivalent nonlinear programming, this paper has proved that the total energy loss in the branch will be minimum when the airflow distribution network system is kept in a balanced state. It also points out the energy meaning for the node method to solve network equations and gives a unique existence theorem for the solution of a network balance equation. And the above viewpoints are explained by way of an example.