Comparative Analysis of Piece-by-Piece MNA and General MNA Approaches for Model Order Reduction

Abstract

<p>This paper proposes two distinct approaches, namely <em>Piece-by-Piece MNA</em> and <em>General MNA</em>, for construction of Modified Nodal Analysis (MNA) matrices in order to be used in Model Order Reduction (MOR) techniques. In this work, we successfully applied the proposed approaches to construct MNA matrices of a multi-port network with several sub-circuits, then, reduced order of network using obtained MNA matrices in each approach. As a numerical example, the Y-parameters of full-order and reduced-order networks for a 4-port optical network, operating in frequency range 175-215 THz, are obtained through the proposed approaches, validated through simulating in Advanced Design System (ADS) software, and compared in terms of order of system (or matrix dimensions), execution time, Root Mean Square Error (RMSE), reduction controllability, reduction efficiency, and passivity point of view.</p>

Comparative Analysis of Piece-by-Piece MNA and General MNA Approaches for Model Order Reduction

“…Since we construct only one general set of MNA matrices, this approach is referred as General MNA approach. Corresponding algorithms for both approaches, in addition to SAPOR and Block SAPOR algorithms, are implemented in Python and MATLAB, which are accessible through [14].…”

A Novel Algorithm for Transforming S-Parameters to Reduced-Order Passivity-Enforced Equivalent Circuit (SROPEE)

“…By assuming nodal voltages as output variables in a pinput q-output MIMO network constructed form R/L/C circuit elements, the MNA equations in Laplace domain may be formulated in the matrix form as follows [25], [52].…”

“…The SAPOR/Block SAPOR method has been implemented in Python and can be accessed through [55]. In particular, the implemented Block SAPOR serves as a sub-algorithm within the SROPEE, as shown in Fig.…”