Circuit equations for fast fault simulation and diagnosis of linear circuits

In this paper, we propose a Modified Nodal Analysis (MNA) based method for writing the circuit equations in the presence of a single fault which is suited for the efficient fault simulation and diagnosis using a Fault Dictionary (FD). The fault simulation equations are obtained from a cheap modification of the LU factors of the nominal matrix. The theoretical speed-up in the simulation of one fault, compared to the simulation time of the nominal circuit, is in the order of ~n for full n×n matrices. The reported experimental results validate the method