Please use this identifier to cite or link to this item: doi:10.22028/D291-35479
Title: An Exact Solution to the Modified Winding Function for Eccentric Permanent Magnet Synchronous Machines
Author(s): Klein, Carsten
Pinter, Mira
Palmieri, Marco
Nienhaus, Matthias
Grasso, Emanuele
Language: English
Title: Mathematics
Volume: 10
Issue: 3
Publisher/Platform: MDPI
Year of Publication: 2022
Free key words: synchronous machines
Modified Winding Function
fault detection
condition monitoring
DDC notations: 500 Science
Publikation type: Journal Article
Abstract: The Winding Function Approach has been used since 1965 to describe the inductance behavior of small air-gap electrical machines, and several works have contributed to its formulation in the presence of mechanical faults, such as eccentricity, leading to the Modified Winding Function Approach (MWFA). In order to use the MWFA, an integral over a full rotation period needs to be computed. Nevertheless, this typically requires the performance of numerical integration, and thus it is affected by integration error, requires relatively high computational effort and, at the same time, it does not easily allow for performance of the analysis of the inductance harmonics. In this work, an exact analytical solution to the MWFA equation is provided in a form that allows to highlight the harmonic content of the inductances. After a thorough mathematical derivation of the solution, a numerical investigation is proposed for verification purposes.
DOI of the first publication: 10.3390/math10030345
Link to this record: urn:nbn:de:bsz:291--ds-354797
ISSN: 2227-7390
Date of registration: 18-Feb-2022
Faculty: NT - Naturwissenschaftlich- Technische Fakultät
Department: NT - Systems Engineering
Professorship: NT - Prof. Dr. Matthias Nienhaus
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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