摘要 |
PROBLEM TO BE SOLVED: To speedily evaluate a pipe network without performing operation for updating an analytic model in consideration of breakage if a part of the pipe network is broken by grasping features of respective conduits of the pipe network with a partial differentiation coefficient. SOLUTION: In a network consisting of (n) branches, output data y1 -yn are represented as a partially differentiable function yi=fi(x1 -xn ) (i=1-n) including input data x1 -xn as variables. Here, a partial differentiation coefficient matrix (Jacobian matrix) J representing the relation between the variation quantity dxi of an input xi and the variation quantity dyi of an output yi is generated by calculating and deriving the values of the output data y1 -yn when the input data x1 -xn vary finely and previously finding the rateδyi/δxj (i, j=1-n) of variations of those input data and output data. From the generated partial differentiation coefficient matrix J, its inverse matrix is calculated and derived to obtain an input xi needed to obtain a target output yi, and the input xi is varied into a branch.
|