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Lyapunov balancing for passivity-preserving model reduction of RC circuits

Reis, Timo; Stykel, Tatjana

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

We apply Lyapunov-based balanced truncation model reduction method to differential-algebraic equations arising in modeling of RC circuits. This method is based on diagonalizing the solution of one projected Lyapunov equation. It is shown that this method preserves passivity and delivers an error bound. By making use of the special structure of circuit equations, we can reduce the numerical effort for balanced truncation drastically.