State-variable-based transient analysis using convolution

Abstract

A state-variable-based approach to the impulse response and convolution analysis of distributed microwave circuits is developed. The state-variable approach minimizes computation time and memory requirements. It allows the use of parameterized nonlinear device models, thus improving robustness. Soliton generation on a nonlinear transmission line is considered as an example.

Wave-based transient analysis using block Newton-Jacobi

“…(3) [7]. Results from Tran2 are assumed to be correct, as these analysis has been previously verified against measurements and other circuit simulators [9,10]. The performance of the proposed method for different circuits is summarized in Table 1.…”

“…Newton's method is used to solve Eqs. (10) and (11). By rearranging them, the error functions, Φ v ( ) and Φ i ( ) are obtained:…”

Object oriented microwave circuit simulation

“…In particular it required the experimentation with various ways to model the interface of different types of analyses, e.g., circuit, field, and thermal analyses. Key results led to the adoption of the local reference node concept [24,25], and state variable-based harmonic balance and transient analyses [26,27]. This process of experimentation would have been difficult without the flexibility and inherent code integrity resulting from the OO approach described here.…”

“…This leads to the key desired attribute of flexibility in incorporating a new type of analysis, or even different implementations of the same analysis type. Examples are the SVTr and SVHB classes which contain the state-variable-convolution transient and harmonic balance analyses described in [26,27], respectively.…”

Progress in the methodologies for the electrical modeling of interconnects and electronic packages

“…However, this approach is gaining momentum rapidly as EM-CAD software vendors strive to deliver the infrastructure required for both broad-band transfer matrix function generation of the electromagnetic multiport and its seamless interfacing with SPICE-based solvers [135]. In parallel to these efforts, university research is exploring enhancements to the traditional set of acceptable state variables in SPICE to enable a more direct and physical rather than mathematical representation of nonelectrical quantities in SPICE and thus facilitate the aforementioned SPICE-based multiphysics modeling [136].…”