Steady Analysis of Nature Gas Pipe Network Based on Homotopy Method

Considering Newton-Raphson method and Quasi-Newton method being sensitive to initial value,homotopy method was proposed in this paper to be applied to the steady analysis of nature gas pipe network. And it turned out to be very effective in increasing the efficiency of calculation,in the same mathematical model,the time spent on calculation with the use of homotopy method was minimized from 4. 062 seconds and 0. 120 seconds( with the use of Newton-Raphson method and Quasi-Newton method) to 0. 110 seconds,and the iterations were reduced from 1 790 times and 187 times to 41 times. Applied to practical example,the relative error between the result of homotopy method and actual measurement is very small,and its result meets practical needs.