Solving Natural Distribution Ventilation Network with Homotopy Method
The solution of natural distribution ventilation network is the basis of ventilation network optimization, The essence of the solution is to calculate nonlinear equations with Newton method at present, The calculating precision or calculating time is influenced heavely by the initial value selection when Newton method is used. In order to solve the limitations of Newton method, a common algorithm to solve non-linear equation systemhomotopy method-was discussed and the homotopy equation for solving natural distribution ventilation network was built. A ventilation network case was solved with free software-Octave-in this paper. Based on the discussion above, the relationships among initial value choice, numerical integral step and calculating precision were discussed when this method was used. The results show that homotopy method is an effective way for solving natural distribution ventilation network. In addition, solving ventilation network with Octave can effectively avoid the copyright problem which is often caused when program language such as Matlab and VB are used to solve the ventilation network.
Octave ventilation network homotopy method
Wu Bing Zhao Zihao Ren Yuhui
School of Resources and Safety Engineering,China University of Mining Technology,Beijing I00083,Chin School of Resources and Safety Engineering,China University of Mining Technology,Beijing I00083,Chin
国际会议
The First International Symposium on Mine Safety Science and Engineering (首届矿山安全科学与工程学术会议)
北京
英文
550-556
2011-10-27（万方平台首次上网日期，不代表论文的发表时间）