Lyapunov Balancing for Passivity-Preserving Model Reduction of RC Circuits

作者：Reis Timo^*; Stykel Tatjana

来源：SIAM Journal on Applied Dynamical Systems, 2011, 10(1): 1-34.

DOI：10.1137/090779802

• balanced truncation
• electrical circuits
• Lyapunov equations
• model reduction
• passivity
• positive real
• projectors
• reciprocity
• symmetric systems
• differential-algebraic equations

We apply a 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.

• 出版日期2011