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Modification of the Clarke Transformation Matrices for Controlling Electric Machines with Non-Equally Spaced Windings
KTH, School of Electrical Engineering and Computer Science (EECS), Electrical Engineering, Electric Power and Energy Systems.ORCID iD: 0000-0003-4393-8990
KTH, School of Electrical Engineering and Computer Science (EECS), Electrical Engineering, Electric Power and Energy Systems.ORCID iD: 0000-0001-6042-2975
KTH, School of Electrical Engineering and Computer Science (EECS), Electrical Engineering, Electric Power and Energy Systems.ORCID iD: 0000-0001-6831-3474
2024 (English)In: 2024 IEEE 21st International Power Electronics and Motion Control Conference, PEMC 2024, Institute of Electrical and Electronics Engineers Inc. , 2024Conference paper, Published paper (Refereed)
Abstract [en]

The Clarke transformation is mathematically a Vandermonde matrix of a discrete Fourier transformation. Its purpose is to transform space-vector quantities in the space domain. One necessary condition is that the base function forms an n-th root of unity. This condition translates into requiring all sampling points to be equally spaced. However, manufacturing constraints and imperfections in electric machines may result in non-equally spaced magnetic axes, especially in the case of multiphase electrical machines, making the conventional inverse Clarke transformation used in classic vector control inaccurate. The mathematical inverse Clarke transformation solves this issue, and the existence of this matrix is always ensured. This avoids additional control action and for model predictive controllers, an accurate model is crucial. Analytical results and a simple experimental validation on a multiphase induction machine show the improvements introduced by changing the transformation matrix.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers Inc. , 2024.
Keywords [en]
Clarke transformation, DFT, machine imbalance, multiphase electrical machines
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-357146DOI: 10.1109/PEMC61721.2024.10726403ISI: 001346863100081Scopus ID: 2-s2.0-85209898194OAI: oai:DiVA.org:kth-357146DiVA, id: diva2:1918223
Conference
21st IEEE International Power Electronics and Motion Control Conference, PEMC 2024, Pilsen, Czechia, Sep 30 2024 - Oct 3 2024
Note

Part of ISBN 979-835038523-6

QC 20241206

Available from: 2024-12-04 Created: 2024-12-04 Last updated: 2024-12-09Bibliographically approved

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Wu, YixuanFalk Olson, GustafPeretti, Luca

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