Automated netlist generation for 3D electrothermal and electromagnetic field problems

Abstract

We present a method for the automatic generation of netlists describing general three-dimensional electrothermal and electromagnetic field problems. Using a pair of structured orthogonal grids as spatial discretisation, a one-to-one correspondence between grid objects and circuit elements is obtained by employing the finite integration technique. The resulting circuit can then be solved with any standard available circuit simulator, alleviating the need for the implementation of a custom time integrator. Additionally, the approach straightforwardly allows for field-circuit coupling simulations by appropriately stamping the circuit description of lumped devices. As the computational domain in wave propagation problems must be finite, stamps representing absorbing boundary conditions are developed as well. Representative numerical examples are used to validate the approach. The results obtained by circuit simulation on the generated netlists are compared with appropriate reference solutions.

Data‐driven model‐free modified nodal analysis circuit solver

“…This convergence result remains consistent regardless of the chosen phase‐space norm. This proof has been originally established for elliptic PDEs, however, we expect a seamless transition to our use case as it has been shown that circuits can be translated into PDEs 28 …”

“…This proof has been originally established for elliptic PDEs, however, we expect a seamless transition to our use case as it has been shown that circuits can be translated into PDEs. 28 It is customary that most of the elements in a circuit are well-known and model representations are available. In this case, various approaches combining exactly known models with data-driven computing have been proposed by the authors in Ref.…”

Mathematical Analysis and Simulation of Field Models in Accelerator Circuits

“…Analogously, this can be done for the rest of the integral Maxwell's equations (2.1), to obtain the discrete primal and dual divergence matrices and the dual curl matrix. For a detailed description of the operator matrices see [113,Appendix A.1], [114], [115].…”

“…The rest of the material matrices are obtained with an analogous averaging procedure. For a description of other material matries see [113, Appendix A.1], [114], [115].…”

“…Here, the temperature T i is defined on the primal points P i . For further details on the finite integration technique applied to the heat equation see [115], [116].…”