Model Order Reduction of Nonlinear Transmission Lines Using Interpolatory Proper Orthogonal Decomposition
A new method is presented for simulation of nonlinear transmission line circuits based on proper orthogonal decomposition reduction techniques coupled with an efficient interpolatory algorithm. Evaluation of the nonlinear function and corresponding Jacobian is performed in the reduced domain. A key criterion is developed for a priori determination of the dimension of the interpolation space leading to a substantial reduction in the computational cost. The proposed algorithm is applicable to general nonlinear circuits and does not impose any constraints on the topology of the pertinent circuit or type of the nonlinear components.
|Keywords||Computational modeling, Integrated circuit modeling, Interpolation, Interpolation space, Jacobian matrices, Mathematical model, model order reduction (MOR), Nonlinear circuits, nonlinear transmission line (NLTL), orthogonal basis, Power transmission lines, proper orthogonal decomposition (POD), singular-value decomposition (SVD).|
|Journal||IEEE Transactions on Microwave Theory and Techniques|
Nouri, B. (Behzad), & Nakhla, M.S. (2018). Model Order Reduction of Nonlinear Transmission Lines Using Interpolatory Proper Orthogonal Decomposition. IEEE Transactions on Microwave Theory and Techniques. doi:10.1109/TMTT.2018.2880759