A Symbolic Analysis Method for Network Function Sensitivity Based on Network Graph Theory

The sensitivity analysis is important in electric network optimum design and tolerance analysis. The general method of sensitivity analysis is pure numerical calculation, their characteristics are completly numerical analysis one by one. Those methods inevitably exist computational complexity, such as redundant polynomials eliminating, needing more data memory capacity and calculation error. Based on network graph theory, using admittance product of k-tree branches in connected graph, the symbolic expression of network function and its sensitivity are presented. Comparing with incremental network method, the method is more fast and effective and is prone to program. It is proved by the example that the method has validity and feasibility.