Multidomain modeling of nonlinear electromagnetic circuits using wave digital filters

Abstract

Accurate models of electromagnetic systems can be derived by coupling electric and magnetic equivalent circuits together. The different nature of such physical domains constitutes a big challenge that puts a continuous strain on software simulators. To face this problem, a simulation approach based on Wave Digital Filters (WDFs) is proposed in this manuscript. The method is employed to solve nonlinear electromagnetic systems containing complex magnetic equivalent circuits while maintaining the modularity of the electric and magnetic subsystems. The nonlinearities can be locally handled, enabling the possibility to choose a dedicated model for each one of them. The proposed algorithm is a hierarchical generalization of the Scattering Iterative Method, which has shown, over the past few years, promising performance for the simulation of large nonlinear circuits. In addition, the method constitutes a further step towards the development of novel general-purpose circuit simulators based on WDF principles. In a comparison with mainstream circuit simulation software, the proposed approach turns out to be considerably faster and thus particularly promising for parametric analyses of electromagnetic systems.

A better SPQR‐tree decomposition of electrical circuits containing multiports and its application to wave digital emulation

“…Notably, HSIM outperforms standard circuit simulation software in terms of simulation runtime. For the circuit discussed in Giampiccolo et al, 31 HSIM was found to be approximately 11 times faster than LTspice and 8.2 times faster than Mathwork's SimScape *. This significant speed advantage enhances the practicality and applicability of HSIM for a wide range of applications.…”

“…This significant speed advantage enhances the practicality and applicability of HSIM for a wide range of applications. To provide a concise overview of using the SPQR‐tree with HSIM, we will briefly touch on the topic here and encourage interested readers to references 1,31 for more comprehensive details. Initialization and update : Calculate all required wave digital parameters.…”

A Template-Based SPQR-Tree Decomposition of Electrical Circuits

“…This method has been enhanced to be even capable of evaluating wave digital algorithms with multiple nonlinearities [41] and complex topologies. Furthermore, it was also shown to be faster 2 than standard circuit simulation software, to be specific, 11 times faster than LTspice and 8.2 faster than Mathwork's SimScape for the circuit discussed in [57]. In the following, we only briefly elaborate on using the SPQR-tree to apply SIM and refer the interested reader to [39], [57] for more details on this topic.…”

Wave digital model of calcium‐imaging‐based neuronal activity of mice

“…The complete wave digital model of Figure 5 can be evaluated by first initializing values for the delays and fixed‐point iterations and then iteratively computing the incident and reflected waves of the adaptors. For more information on the algorithmic implementation of wave digital filters, the interested reader is referred to for example, References 19,22.…”

“…For instance, it provides run-time efficient algorithms well interpretable in terms of electrical circuits due to their direct correspondence with the reference circuit. Moreover, multidimensional wave digital algorithms [18][19][20][21][22] can be used, which can be very efficient for emulating larger circuit setups, cf. 19 The wave digital concept is hence well suited for this work.…”