## Model Reduction for a Class of Nonlinear Electrical Circuits by Reduction of Linear Subcircuits

Please always quote using this URN: urn:nbn:de:0296-matheon-6953

- We analyze a model reduction approach for a class of electrical circuits containing nonlinear resistance. In our approach the linear subcircuits are extracted and replaced with linear passive reduced-order models. The resulting nonlinear reduced-order model preserves admissibility and passivity. Moreover, we derive a-priori bounds for the error between the input-output map of the original circuit equations and that of our reduced-order model. These bounds are valid for all inputs. Since only linear subcircuits are reduced, our approach is effective when the number of nonlinear resistances is relatively small. The performance of our approach is illustrated numerically.