【摘要】 本文通过将管网平衡方程化成等价的非线性规划问题,证明了配水网络系统平衡时,各管段的损失能量之和为最小,指出了用节点法求解管网方程的能量意义,同时,给出了管网平衡方程解的唯一性定理.更多还原

【Abstract】 By converting the balance equation of the pipe network into a problem of the equivalent nonlinear programming,this paper proves that the total sum of the energy loss in every pipe will be minimum when the water distribution network system is in a balanced state.It also points out the energy meaning for the node method to solve the network equations and gives the unique existence theorem of the solution for a network balance equation.更多还原