Matrix exponential integrator algorithm for accurate and efficient simulation of power converter systems
department or school: Applied Science, Faculty of
department or school: Engineering, School of (Okanagan)
data provider: DSpace
degree campus: UBCO
creator: Lofroth, Nicole Marie
issued: 2024-07-17T16:20:49Z
issued: 2024
related degree: Master of Applied Science - MASc
degree grantor: University of British Columbia
description: Electromagnetic transient simulation has become a prominent method for intricate power system design and analyses. Current research emphasizes the challenges that arise in developing a computational algorithm for efficient and accurate simulations of power systems due to the conjoined behaviour of continuous states and discrete events. Common methodologies, known as discrete state event driven (DSED) approaches, aim to overcome the modeling hindrances through employing a fixed or variable simulation step-size and integration order that reduces the number of computational points required to achieve high accuracy with accelerated transient simulation. The exponential-integrator-based simulation algorithm proposed is a novel variable-step fixed-order (VSFO) method that performs sequential intermediate integration calculations between the discrete events throughout the simulation. The matrix exponential integrator portion of the algorithm offers a competitive approach for an accurate, numerically efficient, and stable technique to accelerate transient simulation. Furthermore, the algorithm is easily adapted to accommodate stiff or nonstiff circuit systems which complement the desired topology and parameters. This thesis conducts a comprehensive analysis of the foundational aspects of the theoretical model for an exponential integrator algorithm and its practical applications for simulation of power converter systems. In addition, the simulation based case studies are presented for the validation of the algorithm, and provide insightful perspective and approach to converter control modeling and operating principles. A three-phase two-level AC/DC converter, a three-phase two-level AC/DC/AC converter, and a six-pulse rectifier are simulated by the proposed matrix exponential integrator algorithm. These case studies are typical and commonly used converter typologies with active and passive switching events. They demonstrate the proposed algorithm’s ability to accurately cap…
aggregated CHO: https://circle.library.ubc.ca/rest/handle/2429/88651
note: Matrix Exponential IntegratorAlgorithm for Accurate and EfficientSimulation of Power ConverterSystemsbyNicole Marie LofrothBSc. Hons., University of Northern British Columbia, 2022A THESIS SUBMITTED IN PARTIAL FULFILLMENT OFTHE REQUIREMENTS FOR THE DEGREE OFMASTER OF APPLIED SCIENCEinTHE COLLEGE OF GRADUATE STUDIES(Electrical Engineering)THE UNIVERSITY OF BRITISH COLUMBIA(Okanagan)July 2024© Nicole Marie Lofroth 2024The following individuals certify that they have read, and recommendto the College of Graduate Studies for acceptance, the thesis entitled:Matrix Exponential Integrator Algorithm for Accurate and Efficient Simulationof Power Converter Systemssubmitted by Nicole Marie Lofroth in partial fulfillment of the requirementsfor the degree of Master of Applied Science.Dr. Liwei Wang, School of EngineeringSupervisorDr. Wilson Eberle, School of EngineeringSupervisory Committee MemberDr. Zheng Liu, School of EngineeringSupervisory Committee MemberDr. Sina Kheirkhah, School of EngineeringUniversity ExamineriiAbstractElectromagnetic transient simulation has become a prominent method forintricate power system design and analyses. Current research emphasizes thechallenges that arise in developing a computational algorithm for efficientand accurate simulations of power systems due to the conjoined behaviourof continuous states and discrete events. Common methodologies, known asdiscrete state event driven (DSED) approaches, aim to overcome the mod-eling hindrances through employing a fixed or variable simulation step-sizeand integration order that reduces the number of computational points re-quired to achieve high accuracy with accelerated transient simulation.The exponential-integrator-based simulation algorithm proposed is a novelvariable-step fixed-order (VSFO) method that performs sequential interme-diate integration calculations between the discrete events throughout thesimulation. The matrix exponential integrator portion of the algorithmoffers a competitive approa…
has type: Thesis/Dissertation
date issued: 2024-09
is shown at: 10.14288/1.0444167
language: eng
degree discipline: Electrical Engineering
provider: Vancouver : University of British Columbia Library
publisher: University of British Columbia
rights: Attribution-NonCommercial-NoDerivatives 4.0 International
rights URI: http://creativecommons.org/licenses/by-nc-nd/4.0/
scholar level: Graduate
contributor: Wang, Liwei
type: Text
identifier URI: http://hdl.handle.net/2429/88651