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The multifan multistage station ventilation method has been widely popularized and applied in the underground mines of China since 1984.And the remarkable economic and social benefits have been obtained.The method has many advantages of having the high effective air volume efficiency and regulating and controlling easily air volume and economizing energy.But designing the optimum multifan multistage station ventilation network is a complex task.Sponsored by China National Nonferrous Industrial Company(CNNC),this task is satisfactorily solved by research and practice for nine years.The development in the field is reviewed.By converting the equation of the branch network to a problem of the equivalent nonlinear programming,this paper proves that the total sum of the energy loss in every branch will be minmum when the airflow 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 of a network balance equation.And it explains these conclusions by using an example.