一种同时求解电路全部响应对全部参数灵敏度的算法

给出了一种电路灵敏度分析的新方法，只要能建立电路的改进节点方程，且该方程的系数矩阵的逆存在，就可同时求得全部响应（节点电压、电压源电流）对各参数的微分灵敏度，该法尤其适用于在电路设计时需同时求多个输出对多参数灵敏度的场合，而采用灵敏度网络法或伴地则需求解多次，另外，对电路作适当预处理，可以同时求得有关支路电流响应对各参数的灵敏度，按文中的方法编制了软件，经多个算例验证，方法是有效、可皓

An Algorithm of Evaluating Simultaneously the Sensitivities of All Circuit Responses with Respect to All Parameters

A new approach of sensitivity analysis for a circuit is presented. If the modified nodal equation of the circuit is set up and the inverse of its coefficient matrix exists, then the differential sensitivities of all responses (nodal voltages and the currents in the voltage sources) with respect to every parameter can be simultaneously evaluated. The approach is especially suitable for the situation that we are interested in the sensitivities of the multiple outputs with respect to a number of different circuit parameters. We will need to solve the equation many times if we were to use the sensitivity network approach or the adjoint network approach. After some appropriate preprocessing for circuits, the sensitivities of relative branch currents with respect to every parameter can be obtained simultaneously. The program based on above approach has been designed, and the results of several examples illustrate that the approach is efficient and reliable.