APPROXIMATION OF THE FLUX-CURRENT CHARACTERISTIC OF THE ELECTROMECHANICAL ACTUATOR BASED ON MEASUREMENT RESULTS
Zygmunt Kowalik
zygmunt.kowalik@polsl.plPolitechnika Śląska, Wydział Elektryczny, Katedra Mechatroniki (Poland)
Abstract
A Hamiltonian model of an electromechanical actuator requires an approximation of its flux-current characteristic. It can be made using a piecewise affine function, based on sets of corresponding points in the spaces of flux and current. In the paper four original methods of constructing these sets based on measurements results are presented. The best results are obtained using methods that incorporate the computed value of the magnetic field coenergy in the modeled machine.
Keywords:
simplicial approximation, mathematical modeling, electrical measurements, flux-current characteristicReferences
Agoston M.K..: Computer Graphics and Geometric Modeling – Mathematics, Springer, 2005.
Google Scholar
Burlikowski W.: Zastosowanie formalizmu Hamiltona w opisie przetwornika elektromechanicznego na przykładzie silnika reluktancyjnego. Wydawnictwo Politechniki Śląskiej, Gliwice 2012.
Google Scholar
Burlikowski W., Kowalik Z.: Error Analysis in Mathematical Model of Electromechanical Actuator Using Hamiltonian Equations, Technical Transactions, 1-E/2015.
Google Scholar
Groff R.E.: Piecewise Linear Homeomorphisms for Approximation of Invertible Maps, Ph.D. Thesis, University of Michigan, 2003.
Google Scholar
Rodrigues L., How J. P.: Observer-Based Control of Piecewise-Affine Systems, Decision and Control, 2008.
Google Scholar
Shifrin T.: Differential Geometry: A First Course in Curves and Surfaces. University of Georgia, 2015.
Google Scholar
Authors
Zygmunt Kowalikzygmunt.kowalik@polsl.pl
Politechnika Śląska, Wydział Elektryczny, Katedra Mechatroniki Poland
Statistics
Abstract views: 190PDF downloads: 165
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.