Fast Circuit Simulation of Linear Electronic Circuits using Modified Nodal Analysis

This paper introduces a method that reaches the closed-form expression of waveforms in linear electronic circuits, enabling fast and accurate simulations. The method is automated for circuits described with Modified Nodal Analysis (MNA) formalism, that is easy to reach with collection of Kirchhoff laws. The method produces same closed-form expressions of waveforms as in State-Space Analysis (SSA), expressed as sums of weighted exponential functions of time, driven by characteristic frequencies of the circuit. However, the proposed method does not use SSA formalism and can therefore be applied to any circuit. The precise formulation of waveforms enables its computation in a single step with ultimate accuracy and constant CPU effort. Significant acceleration ratio was verified on DC/DC circuit by comparison with commercial simulation tool. The proposed method can effectively reduce the calculation effort at the design and verification stages of applications which need loss analysis over long mission profiles, like mobility applications.