Abschlussarbeiten

Studien-, Bachelor- oder Master-Arbeiten

Die folgende Liste schlägt Themen für studentische Arbeiten an der Arbeitsgruppe vor. Die meisten Themen können als Studien-, Bachelor- oder Master-Arbeit bearbeitet werden. Weitere Arbeiten in den genannten Themengebieten sind stets auf Anfrage möglich. Kontaktieren Sie uns gerne!

Der Leitfaden enthält Hinweise zum Schreiben von Abschluss- und Hausarbeiten, außerdem stehen Latex-Vorlagen für Arbeiten und Vorträge bereit.

Themenvorschläge

  • Masterarbeit

    This project shall explore simulation and shape optimization methods for the design of electromechanical energy converters. Thereby, the possibilities and requirements of three-dimensional printing shall be exploited to design permanent magnet synchronous motors (PMSM). Currently, PMSM are designed conservatively, i.e. without free forms and using standardized (e.g. magnet) geometries. However, additive manufacturing processes (3D printing) will allow more complex stator and rotor geometries to be produced in the future, which could reduce the rare earth magnet content in particular. In order to enable an optimal, computer-aided design of electrical machines, the project aims to develop so-called isogeometric, i.e. methods based on the spline formulations commonly used in computer-aided design (CAD) for geometry representation, are to be developed within the scope of this project, with which the coupled electromagnetic-mechanical behavior of PMSM can be simulated and the machine shape can be optimized under consideration of the manufacturing process.

    Betreuer/innen: Melina Merkel , M.Sc., Prof. Dr. rer. nat. Sebastian Schöps

    Ausschreibung als PDF

  • Bachelorarbeit, Masterarbeit

    Due to the growing importance of e-mobility, the efficient simulation and optimization of electric energy converters, in particular electric machines, is becoming increasingly important. In the manufacturing process of these electric machines imperfections and small deviations from the nominal design can occur. In the worst case, these imperfections can lead to a significant decrease in quality or even failure of the machine. To avoid this, the machine can be optimized robustly, i.e., considering the deviations in the machine design. Robust optimization aims to find a machine design which is robust in terms of deviations from the nominal design, i.e., to find an optimum in terms of a goal function J which does not deteriorate significantly for small changes in the design parameters p, compare Fig. 2. In this project an electric machine is simulated using isogeometric analysis and the shape of the machine shall be optimized robustly considering uncertainties, using uncertainty quantification methods like the Monte Carlo method.

    Betreuer/innen: Melina Merkel , M.Sc., Prof. Dr. rer. nat. Sebastian Schöps

    Ausschreibung als PDF

  • Bachelorarbeit, Masterarbeit

    The company Signify (former Philips Lighting) in Eindhoven is the world leader in lighting products. Their products are designed and optimized by computer aided design workflows including uncertainty quantification (UQ). UQ is a technique for example used to analyze the impact of manufacturing imperfections on the products. Nowadays, companies aim for six sigma processes, i.e. the variation is assumed to be normally distributed and >99% of all outcomes shall be free of defects.

    This thesis shall analyze, investigate and implement methods for UQ of power electronic and analog circuitry at Signify. This requires to understand the existing simulation workflow at Signify and the (random) influences that may lead to defects. Based on this understanding UQ methods, e.g. (quasi) Monte Carlo, surrogate-based Monte Carlo or polynomial chaos techniques, can be selected and possibly extended if necessary. Finally, an uncertainty quantification workflow shall be established, e.g. by writing code and user interfaces.

    Betreuer/innen: Niklas Georg , M.Sc., Prof. Dr. rer. nat. Sebastian Schöps

    Ausschreibung als PDF

  • Masterarbeit

    Within the last four years, a boundary element simulation framework for the solution of electrostatic, acoustic, and electrodynamic problems for 3D applications called BEMBEL has been developed together with the universities of Twente (Netherlands) and Lugano (Switzerland). The project had a signifficant impact in science and industry, due to its efficient use of the concept of isogeometric analysis within a Galerkin framework. However, many applications require the solution of 2D problems, which BEMBEL does not currently support. This thesis aims to close this gap through the implementation of a fully integrated 2D simulation framework for the numerical solution of the Laplace and Helmholtz equation, build upon existing routines and expert knowledge of the cooperation partners in Twente and Lugano.

    Betreuer/innen: Dr.-Ing. Felix Wolf , Prof. Dr. rer. nat. Sebastian Schöps

    Ausschreibung als PDF

  • Bachelorarbeit, Masterarbeit

    Eigenmodes of accelerator cavities are cataloged based on their electromagnetic fields in order to analyze the performance of the device. The nomenclature is originally defined for cylindrical pillbox cavities where the eigenfrequencies and corresponding field distributions are known analytically. Due to the complex shape of real-world cavities, in practice the eigenmodes need to be determined using numerical simulations. The attempt to automatically classify eigenmodes by post-processing the numerical field solution is still cumbersome1. Therefore, the focus of this work is to investigate automatic mode recognition by deforming the cavity geometry to a pillbox and tracking the eigenmodes during the deformation.

    Betreuer/innen: Mona Fuhrländer , M.Sc., Prof. Dr. rer. nat. Sebastian Schöps

    Ausschreibung als PDF

  • Bachelorarbeit, Masterarbeit

    Eigenmodes of accelerator cavities are cataloged based on their electromagnetic fields in order to analyze the performance of the device. The nomenclature is originally defined for cylindrical pillbox cavities where the eigenfrequencies and corresponding field distributions are known analytically. Due to the complex shape of real-world cavities, in practice the eigenmodes need to be determined using numerical simulations. The attempt to automatically classify eigenmodes by post-processing the numerical field solution is still cumbersome1. Therefore, the focus of this work is to investigate automatic mode recognition by deforming the cavity geometry to a pillbox and tracking the eigenmodes during the deformation.

    Betreuer/innen: Mona Fuhrländer , M.Sc., Prof. Dr. rer. nat. Sebastian Schöps

    Ausschreibung als PDF

  • Studienarbeit, Bachelorarbeit, Masterarbeit

    For the simulation of electromagnetic fields in many situations, quasistatic approximations to Maxwell’s equations are sufficient. The most well-known approximations are magneto-quasistatics (MQS) and electro-quasistatics (EQS). However, there is another formulation due to Darwin [1] which essentially combines MQS and EQS and allows to predict the behavior of problems as shown in Fig. 1. The Darwin formulation is less explored from the view point of computational engineering and thus many questions can be addressed within a thesis project.

    Betreuer/innen: Prof. Dr. rer. nat. Sebastian Schöps , Idoia Cortes Garcia , M.Sc.

    Ausschreibung als PDF

  • Studienarbeit, Bachelorarbeit, Masterarbeit

    The Finite element method (FEM) in the frequency domain is one of the most powerful methods for the solution of high frequency electromagnetic field problems for resonators, filters, attenuators,etc. In many practical applications, however, the frequency response of the system over a broad frequency band is required.Fast Frequency Sweeping (FFS) is a class of methods used for the estimation of broadband S-parameters based on evaluation of a minimum amount of frequency points. Modern FFS methods include Reduced Basis Methods, Thiele based interpolation, Asymptotic Waveform Evaluation and Vector Fitting. Each of the methods have advantages and disadvantages depending on the specific characteristics of the frequency response of the system.

    Betreuer/innen: PD Dr. rer. nat. Erion Gjonaj , Prof. Dr. rer. nat. Sebastian Schöps

    Ausschreibung als PDF

  • Studienarbeit, Bachelorarbeit, Masterarbeit

    Isogeometric analysis (IGA) is a finite element method (FEM) using splines for geometry description and basis functions such that the geometry can be exactly represented. Recently, an isogeometric mortar coupling [1] for electromagnetic problems was proposed. It is particularly well suited for the eigenfrequency prediction of superconducting accelerator cavities. Each cell, see Fig. 1, can be represented by a different subdomain but may still share the same discretization. The approach leads to a (stable and spectral correct) saddle-point problem. However, its numerical solution is cumbersome and iterative substructuring methods become attractive. The resulting system is available from a Matlab/Octave code. In this project the finite element tearing and interconnect method (FETI) shall be investigated and standard, possibly low-rank,preconditioners implemented and

    Betreuer/in: Prof. Dr. rer. nat. Sebastian Schöps

    Ausschreibung als PDF

  • Multiscale and multirate problems occur naturally in many applications from electrical engineering, e.g. buck converters. An efficient simulation can be achieved using the concept of Multirate Partial Differential Equations.

    Betreuer/innen: Dr.-Ing. Andreas Pels , Prof. Dr. rer. nat. Sebastian Schöps

    Ausschreibung als PDF

  • Bachelorarbeit, Masterarbeit

    In electronics, the most serious failure mechanism is due to electromigrationin the interconnects. This effect shall be modelled and simulated within an existing software environment.

    Betreuer/innen: Dr.-Ing. Thorben Casper , Prof. Dr. rer. nat. Sebastian Schöps

    Ausschreibung als PDF

  • Studienarbeit, Masterarbeit

    The focus of this work is the adaptive construction of the polynomial surrogate modelin order to mitigate the curse-of-dimensionality. The efficiency of this approach shall be further improved by employing adjoint-based error measures.

    Betreuer/innen: Niklas Georg , M.Sc., Prof. Dr. rer. nat. Sebastian Schöps

    Ausschreibung als PDF

2020 Implementation of 3D Isogeometric Mortaring
2020 Pareto Optimization for Failure Probabilities
2020 Automated Numerical Characterization of a Synchronous Reluctance Machine (extern bei Dassault Systems)
2020 Modeling and Optimization of DC-link Capacitors in Automotive High-voltage Systems (extern bei Porsche)
2019 Iterative Solvers for Complex Linear Systems in the Isogeometric Boundary Element Method
2019 Shape Optimizing a Permanent Magnet Synchronous Machine using Isogeometric Analysis
2019 Efficient Methods for Yield Optimization using CST Microwave Studio
2019 Online Simulation of Magnets for Augmented Reality Applications
2019 Modelling of Superconducting Accelerator Magnets with Finite Elements
2019 Bayesian Methods for Magnetic Field Reconstruction from Measurements
2018 Neue effiziente numerische Verfahren zur Simulation von elektrischen Maschinen (extern bei der Robert Bosch GmbH)
2018 Shape Optimization of an Electron Gun using Isogeometric Analysis
2018 Particle Tracking Using Isogeometric Analysis
2018 Optimization of a Permanent Magnet Synchronous Machine with an Uncertain Driving Cycle
2018 Numerical Simulation of an Optical Grating Coupler with Uncertainties using Adaptive Sparse-Grids based on Adjoint-Error Indicators
2017 Simulation Elektrischer Maschinen mit Isogeometrischer Analyse
2017 Parallele Zeitbereichssimulation von Differential-algebraischen Gleichungen mit Parareal
2017 Design Centering im Kontext der Hochfrequenzsimulation (extern mit der CST GmbH)
2016 Paraexp for Electromagnetic Problems
2016 Numerical Calculation of Current Density Distributions in Coils
2016 Analyse von Modellunsicherheiten mit Multilevel Monte Carlo
2015 Reliability Analysis of EM-Components based on Dakota
2015 Field/Circuit Coupling with Onelab
2015 Berechnung der Geometriesensitivität von elliptischen Problemen durch Automatisches Differenzieren
2014 Optimierte primal/duale Gitterpaare für FIT auf unstrukturierten Gittern
2013 Isogeometric Simulation of Lorentz Detuning in Superconducting Linear Accelerators
2013 Analysis of the Index Problem and Environment Configuration in Modelica and FMI (extern bei der Prostep AG)
2012 Nonlinear Material Curve Modeling and Sensitivity Analysis for Magnetoquasistatic Problems
2012 Analyse der Erzeugung von monotonen Materialkurven mit Ausgleichssplines