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This thesis presents two transient models for a prototype integrated charger for use in a plug-in hybrid-electrical vehicle application. The models can be useful in order to develop control algorithms for the system or to recommend improvements to the machine design. A flux map based method, obtaining input data from simulations using the finite element method (FEM) is used to model the grid synchronization process. The grid side voltage can then be predicted by incorporating spatial flux linkage harmonics. The model is implemented in Matlab/Simulink and compared to stand alone FEM simulations with good agreement. The charging process is modeled using an inductance based model also requiring FEM simulations as input data. Since the flux linkages in the grid and inverter side windings are dependent on each other, the presented transient model is linearized around a specific operating point. This model is also implemented in a Matlab/Simulink environment. Sensorless control of a PMSynRel drive is also studied in this thesis. Focus is put on operating limits due to magnetic saturation when operating at low speeds. The rotating and pulsating voltage vector injection methods for sensorless control are studied in detail. A technique to map the feasible sensorless control region is proposed which utilizes the resulting position error signal rather than data of differential inductances. This technique is implemented experimentally and compared to corresponding FEM simulations with good agreement. The impact of spatial inductance harmonics on the quality of the position estimates is also studied. A method to predict the maximum position estimation error due to the inductance harmonics is proposed based on simplified analytical models. A technique is presented and experimentally verified which can compensate for this effect by injecting a modified rotating voltage carrier. Lastly, the impact of saturation in the rotor structure on the initial magnet polarity detection is investigated. The experimental results, in good agreement with the corresponding FEM simulations, indicate that the impact of saturation in the magnet bridges of rotor is the dominant phenomenon at lower peak current magnitudes. / QC 20110928

The introduction of initial margin requirements for non-cleared OTC derivatives has made it possible to optimize initial margin when considering a network of trading participants. Applying CMA-ES, this thesis has explored a new method to handle the nonlinear constraints present in the initial margin optimization problem. The idea behind the method and the research question in this thesis are centered around leveraging data created during optimization. Specifically, by creating a linear approximation of the feasible region using support vector machines and in turn applying a repair strategy based on projection. The hypothesis was that by repairing solutions an increase in convergence speed should follow. In order to answer the research question, a reference method was at first created. Here CMA-ES along with feasibility rules was used, referred to as CMA-FS. The proposed method of optimization data leveraging (ODL) was then appended to CMA-FS, referred to as CMA-ODL. Both algorithms were then applied to a single initial margin optimization problem 100 times each with different random seeds used for sampling in the optimization algorithms. The results showed that CMA-ODL converged significantly faster than CMA-FS, without affecting final objective values significantly negatively. Convergence was measured in terms of iterations and not computational time. On average a 5% increase in convergence speed was achieved with CMA-ODL. No significant difference was found between CMA-FS and CMA-ODL in terms of the percentage of infeasible solutions generated. A reason behind the lack of a reduction in violations can be due to how ODL is implemented with the CMA-ES algorithm. Specifically, ODL will lead to a greater number of feasible solutions being available during recombination in CMA-ES. Although, due to the projection, the solutions after projection are not completely reflective of the actual parameters used for that generation. The projection should also bias the algorithm towards the boundary of the feasible region. Still, the performative difference in terms of convergence speed was significant. In conclusion, the proposed boundary constraint handling method increased performance, but it is not known whether the method has any major practical applicability, due to the restriction to only considering the number of iterations and not the computational time. / Införandet av initial margin för non-cleared OTC derivatives har gjort det möjligt att optimera initial margin när ett flertal marknadsdeltagare tas till hänsyn. Denna uppsats har applicerat CMA-ES och specifikt undersökt en ny metod för hantering av de icke-linjära bivillkoren som uppstår när initial margin optimeras. Idén bakom metoden och forskningsfrågan i rapporten bygger på att utnyttja data som generas vid optimering. Detta görs specifikt genom att den icke-linjära tillåtna regionen approximeras linjärt med support vector machines. Därefter används en reparationsstrategi bestående av projicering för att reparera otillåtna lösningar. Hypotesen i uppsatsen var att genom att reparera lösningar så skulle konvergenshastigheten öka. För att svara på forskningsfrågan så togs en referensmetod fram, där CMA-ES och feasibility rules användes för att hantera icke-linjära bivillkor. Denna version av CMA-ES kallades CMA-FS. Sedan integrerades den nya metoden med CMA-FS, denna version kallades för CMA-ODL. Därefter så applicerades båda algoritmer 100 gånger på ett initial margin optimeringsproblem, där olika seeds användes för generering av lösningar i algoritmerna. Resultaten visade att CMA-ODL konvergerade signifikant snabbare än CMA-FS utan att påverka optimeringsresultatet negativt. Med CMA-ODL så ökade konvergenshastigheten med ungefär 5%. Konvergens mättes genom antal iterationer och inte beräkningstid. Ingen signifikant skillnad mellan CMA-ODL och CMA-FS observerades när de jämfördes med avseende på mängden icke-tillåtna lösningar genererade. En anledning varför ingen skillnad observerades är hur den nya metoden var integrerad med CMA-ES algoritmen. Den tilltänkta metoden leder till att fler tillåtna lösningar är tillgängliga när CMA-ES ska bilda nästa generation men eftersom lösningar projiceras så kommer dom inte att reflektera dom parametrar som användes för att faktiskt generera dom. Projiceringen leder också till att fler lösningar på randen av det tillåtna området kommer att genereras. Sammanfattningsvis så observerades fortfarande en signifikant ökning i konvergenshastighet för CMA-ODL men det är oklart om algoritmen är praktiskt användbar p.g.a. restriktionen att enbart betrakta antalet iterationer och inte total beräkningstid.