Co-simulation and uncertainty quantification for field/circuit coupled problems / vorgelegt von Kai Gausling. Wuppertal, 18. Januar 2019
Inhalt
- Contents
- 1 Introduction
- 2 Modeling and Simulation of Electric Circuits and Magnetoquasistatic Devices
- 2.1 Electric Networks
- 2.2 Magnetoquasistatic Approximation for Field Devices
- 2.3 Coupled Field/Circuit Problems
- 2.4 Conclusions
- 3 Co-Simulation
- 3.1 Dynamic Iteration for Coupled Problems
- 3.1.1 Gauss-Seidel-Type Iteration Scheme
- 3.1.2 DAE-DAE Coupling
- 3.1.3 Field/Circuit Co-Simulation
- 3.1.4 Conclusions
- 3.2 Coupling Interfaces
- 4 Uncertainty Quantification
- 5 Multivariate Quadrature
- 6 Density Estimation in Co-Simulation
- 6.1 Lower Bound Estimate for Purely Algebraic Coupling
- 6.2 The Kernel Density Estimation Approach
- 6.3 The Spectral Approach
- 7 Numerical Examples
- 7.1 Fast Contraction and Higher Order Co-Simulation
- 7.2 Coupling Interfaces in Application
- 7.2.1 R-Splitting for Field/Circuit Coupled Problems
- 7.2.2 LR-Coupling for Field/Circuit Coupled Problems
- 7.3 Accuracy of the Lower Bound Estimator for Purely Algebraic-to-Algebraic Coupling
- 7.4 PDF estimation by using the KDE and Spectral Method
- 7.5 Uncertainty Quantification in Co-Simulation for Coupled Electric Circuits
- 8 Summary