Blockwise vs. and General MNA for MOR

This paper proposes two distinct approaches for construction of the Modified Nodal Analysis (MNA) matrices in Model Order Reduction (MOR) techniques, namely the Blockwise MNA and the General MNA. In this work, we apply the proposed approaches to construct MNA matrices of a multi-port network, then reduce their order using the MNA matrices through each approach. As a numerical example, the Y-parameters of full- order and reduced-order networks for a 4-port optical network, operating in the frequency range 175–215 THz, are obtained and are compared in terms of execution time, memory usage, Root Mean Square Error (RMSE), reduction controllability, efficiency, and passivity point of view.