Predictive Trajectory Control with Online MTPA Calculation and Minimization of the Inner Torque Ripple for Permanent-Magnet Synchronous Machines

This paper presents an extended predictive trajectory control scheme combined with an inner torque ripple minimization considering the current-, flux-linkage-, and voltage-planes of permanent magnet synchronous machines. The extension of a fundamental machine model with flux-linkage harmonics allows...

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Main Authors: Simon Decker, Matthias Brodatzki, Benjamin Bachowsky, Benedikt Schmitz-Rode, Andreas Liske, Michael Braun, Marc Hiller
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/20/5327
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author Simon Decker
Matthias Brodatzki
Benjamin Bachowsky
Benedikt Schmitz-Rode
Andreas Liske
Michael Braun
Marc Hiller
author_facet Simon Decker
Matthias Brodatzki
Benjamin Bachowsky
Benedikt Schmitz-Rode
Andreas Liske
Michael Braun
Marc Hiller
author_sort Simon Decker
collection DOAJ
description This paper presents an extended predictive trajectory control scheme combined with an inner torque ripple minimization considering the current-, flux-linkage-, and voltage-planes of permanent magnet synchronous machines. The extension of a fundamental machine model with flux-linkage harmonics allows the calculation of the inner torque ripple and enables its minimization. For this, the control is divided in two cases: (1) The dynamic operation or large signal behavior which uses the maximal torque gradient for the trajectory strategy during each control period for fastest dynamic operation, and (2) The stationary operation or small signal behavior, utilizing a real time capable polynomial approximation of the rotor position dependent torque hyperbolas (iso-torque curves) of permanent magnet synchronous machines for the ideal torque to current reference values. Since dynamic and steady-state operation is covered, torque to current look-up tables, such as maximum torque per ampere (MTPA)/maximum torque per volt/voltage (MTPV) look-up tables, are not required anymore. The introduced, new control approach is implemented in Matlab/Simulink based on finite element analysis and measured data. Furthermore, test-bench implementations based on measurement data are presented to show the real-time capability and precision.
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spelling doaj.art-3fdb1c44ae664afbaa40b809af77e4f92023-11-20T16:54:07ZengMDPI AGEnergies1996-10732020-10-011320532710.3390/en13205327Predictive Trajectory Control with Online MTPA Calculation and Minimization of the Inner Torque Ripple for Permanent-Magnet Synchronous MachinesSimon Decker0Matthias Brodatzki1Benjamin Bachowsky2Benedikt Schmitz-Rode3Andreas Liske4Michael Braun5Marc Hiller6Institute of Electrical Engineering (ETI), Karlsruhe Institute of Technology (KIT), Kaiserstr. 12, 76131 Karlsruhe, GermanyInstitute of Electrical Engineering (ETI), Karlsruhe Institute of Technology (KIT), Kaiserstr. 12, 76131 Karlsruhe, GermanyInstitute of Electrical Engineering (ETI), Karlsruhe Institute of Technology (KIT), Kaiserstr. 12, 76131 Karlsruhe, GermanyInstitute of Electrical Engineering (ETI), Karlsruhe Institute of Technology (KIT), Kaiserstr. 12, 76131 Karlsruhe, GermanyInstitute of Electrical Engineering (ETI), Karlsruhe Institute of Technology (KIT), Kaiserstr. 12, 76131 Karlsruhe, GermanyInstitute of Electrical Engineering (ETI), Karlsruhe Institute of Technology (KIT), Kaiserstr. 12, 76131 Karlsruhe, GermanyInstitute of Electrical Engineering (ETI), Karlsruhe Institute of Technology (KIT), Kaiserstr. 12, 76131 Karlsruhe, GermanyThis paper presents an extended predictive trajectory control scheme combined with an inner torque ripple minimization considering the current-, flux-linkage-, and voltage-planes of permanent magnet synchronous machines. The extension of a fundamental machine model with flux-linkage harmonics allows the calculation of the inner torque ripple and enables its minimization. For this, the control is divided in two cases: (1) The dynamic operation or large signal behavior which uses the maximal torque gradient for the trajectory strategy during each control period for fastest dynamic operation, and (2) The stationary operation or small signal behavior, utilizing a real time capable polynomial approximation of the rotor position dependent torque hyperbolas (iso-torque curves) of permanent magnet synchronous machines for the ideal torque to current reference values. Since dynamic and steady-state operation is covered, torque to current look-up tables, such as maximum torque per ampere (MTPA)/maximum torque per volt/voltage (MTPV) look-up tables, are not required anymore. The introduced, new control approach is implemented in Matlab/Simulink based on finite element analysis and measured data. Furthermore, test-bench implementations based on measurement data are presented to show the real-time capability and precision.https://www.mdpi.com/1996-1073/13/20/5327permanent-magnet synchronous machinepredictive controltrajectory controlonline maximum torque per currentoptimal controltorque ripple minimization
spellingShingle Simon Decker
Matthias Brodatzki
Benjamin Bachowsky
Benedikt Schmitz-Rode
Andreas Liske
Michael Braun
Marc Hiller
Predictive Trajectory Control with Online MTPA Calculation and Minimization of the Inner Torque Ripple for Permanent-Magnet Synchronous Machines
Energies
permanent-magnet synchronous machine
predictive control
trajectory control
online maximum torque per current
optimal control
torque ripple minimization
title Predictive Trajectory Control with Online MTPA Calculation and Minimization of the Inner Torque Ripple for Permanent-Magnet Synchronous Machines
title_full Predictive Trajectory Control with Online MTPA Calculation and Minimization of the Inner Torque Ripple for Permanent-Magnet Synchronous Machines
title_fullStr Predictive Trajectory Control with Online MTPA Calculation and Minimization of the Inner Torque Ripple for Permanent-Magnet Synchronous Machines
title_full_unstemmed Predictive Trajectory Control with Online MTPA Calculation and Minimization of the Inner Torque Ripple for Permanent-Magnet Synchronous Machines
title_short Predictive Trajectory Control with Online MTPA Calculation and Minimization of the Inner Torque Ripple for Permanent-Magnet Synchronous Machines
title_sort predictive trajectory control with online mtpa calculation and minimization of the inner torque ripple for permanent magnet synchronous machines
topic permanent-magnet synchronous machine
predictive control
trajectory control
online maximum torque per current
optimal control
torque ripple minimization
url https://www.mdpi.com/1996-1073/13/20/5327
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