Order Reduction and Rapid Calculation for Multimodule Linear Circuits

It is quite common to use multiple linear modules with asynchronous operation, e.g., the pulsed power supply (PPS) system for electromagnetic launch (EML), to provide higher power or the complex signal modulation function. Up to now, numerical simulation has been the only way to solve these problems but suffers from long running time and thus limits the large-scale optimization and control for these systems. This article proposes a rigorous port-equivalent order reduction method based on the Thevenin equivalence and short-circuit equivalence. This method can simplify the solution of multimodule linear circuits into the solution of multiple lower order circuits. If lower order circuits can be calculated analytically, the fully analytical calculation of the multimodule circuit can be realized. Otherwise, reducing the order can also greatly reduce the time of circuit simulation. On this basis, taking the meat grinder with a self-charged capacitor and thyristor (SECT) multimodule circuit as an example, its rapid and analytical calculation is demonstrated. Compared with the Simulink simulation, the results show that the method proposed in this article is about 50 times faster than the simulation, and the root-mean-square error (RMSE) is very small, which means that the calculation accuracy can well meet the requirements.