Sensorless Scheme for Permanent-Magnet Synchronous Motors Susceptible to Time-Varying Load Torques

This paper is devoted to designing a sensorless high-speed tracking control for surface-mount permanent-magnet synchronous motors, considering a time-varying load torque. This proposal consists of an extended-state observer interconnected with a PI-compensated controller, considering only the measur...

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Main Authors: Christian Aldrete-Maldonado, Ramon Ramirez-Villalobos, Luis N. Coria, Corina Plata-Ante
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/14/3066
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author Christian Aldrete-Maldonado
Ramon Ramirez-Villalobos
Luis N. Coria
Corina Plata-Ante
author_facet Christian Aldrete-Maldonado
Ramon Ramirez-Villalobos
Luis N. Coria
Corina Plata-Ante
author_sort Christian Aldrete-Maldonado
collection DOAJ
description This paper is devoted to designing a sensorless high-speed tracking control for surface-mount permanent-magnet synchronous motors, considering a time-varying load torque. This proposal consists of an extended-state observer interconnected with a PI-compensated controller, considering only the measurement of electrical variables for feedback. First, to design the extended-state observer, a rotary coordinate model of the motor is extended in one state to estimate the load torque and the rotor’s position and speed. Later, the estimations are fedback to a PI-compensated controller to attenuate the time-varying load torques. Our proposed methodology aims to overcome a restriction regarding the solution of the Riccati equation respecting the Lipschitz condition for observer stability analysis. Therefore, a PI-compensated controller described as a closed-loop provides a sensorless scheme. Lyapunov stability analysis is applied to determine sufficient conditions to ensure that the states of the closed-loop system are ultimately bounded, which is one of our main contributions. The proposed observer-based controller scheme deals with unmeasured load torque fluctuations. Furthermore, we carry out high-precision emulations to provide testing scenarios of the permanent-magnet synchronous motor with some challenging load torque magnitudes and behaviors. Finally, we conduct experiments on the Technosoft<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>®</mo></msup></semantics></math></inline-formula> development platform to corroborate the feasibility of the proposed control scheme in a real-world scenario.
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spelling doaj.art-e483f753c41741059e46cf2be8e0a9a72023-11-18T20:20:02ZengMDPI AGMathematics2227-73902023-07-011114306610.3390/math11143066Sensorless Scheme for Permanent-Magnet Synchronous Motors Susceptible to Time-Varying Load TorquesChristian Aldrete-Maldonado0Ramon Ramirez-Villalobos1Luis N. Coria2Corina Plata-Ante3Postgraduate Program in Engineering Sciences, Dynamics Systems and Control, Tecnologico Nacional de Mexico/ IT Tijuana, Blvd. Alberto Limon Padilla s/n, Tijuana 22454, MexicoPostgraduate Program in Engineering Sciences, Dynamics Systems and Control, Tecnologico Nacional de Mexico/ IT Tijuana, Blvd. Alberto Limon Padilla s/n, Tijuana 22454, MexicoPostgraduate Program in Engineering Sciences, Dynamics Systems and Control, Tecnologico Nacional de Mexico/ IT Tijuana, Blvd. Alberto Limon Padilla s/n, Tijuana 22454, MexicoPostgraduate Program in Engineering Sciences, Dynamics Systems and Control, Tecnologico Nacional de Mexico/ IT Tijuana, Blvd. Alberto Limon Padilla s/n, Tijuana 22454, MexicoThis paper is devoted to designing a sensorless high-speed tracking control for surface-mount permanent-magnet synchronous motors, considering a time-varying load torque. This proposal consists of an extended-state observer interconnected with a PI-compensated controller, considering only the measurement of electrical variables for feedback. First, to design the extended-state observer, a rotary coordinate model of the motor is extended in one state to estimate the load torque and the rotor’s position and speed. Later, the estimations are fedback to a PI-compensated controller to attenuate the time-varying load torques. Our proposed methodology aims to overcome a restriction regarding the solution of the Riccati equation respecting the Lipschitz condition for observer stability analysis. Therefore, a PI-compensated controller described as a closed-loop provides a sensorless scheme. Lyapunov stability analysis is applied to determine sufficient conditions to ensure that the states of the closed-loop system are ultimately bounded, which is one of our main contributions. The proposed observer-based controller scheme deals with unmeasured load torque fluctuations. Furthermore, we carry out high-precision emulations to provide testing scenarios of the permanent-magnet synchronous motor with some challenging load torque magnitudes and behaviors. Finally, we conduct experiments on the Technosoft<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mo>®</mo></msup></semantics></math></inline-formula> development platform to corroborate the feasibility of the proposed control scheme in a real-world scenario.https://www.mdpi.com/2227-7390/11/14/3066time-varying load torque variationsextended-state observersensorless controlsurface-mount PMSM
spellingShingle Christian Aldrete-Maldonado
Ramon Ramirez-Villalobos
Luis N. Coria
Corina Plata-Ante
Sensorless Scheme for Permanent-Magnet Synchronous Motors Susceptible to Time-Varying Load Torques
Mathematics
time-varying load torque variations
extended-state observer
sensorless control
surface-mount PMSM
title Sensorless Scheme for Permanent-Magnet Synchronous Motors Susceptible to Time-Varying Load Torques
title_full Sensorless Scheme for Permanent-Magnet Synchronous Motors Susceptible to Time-Varying Load Torques
title_fullStr Sensorless Scheme for Permanent-Magnet Synchronous Motors Susceptible to Time-Varying Load Torques
title_full_unstemmed Sensorless Scheme for Permanent-Magnet Synchronous Motors Susceptible to Time-Varying Load Torques
title_short Sensorless Scheme for Permanent-Magnet Synchronous Motors Susceptible to Time-Varying Load Torques
title_sort sensorless scheme for permanent magnet synchronous motors susceptible to time varying load torques
topic time-varying load torque variations
extended-state observer
sensorless control
surface-mount PMSM
url https://www.mdpi.com/2227-7390/11/14/3066
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AT ramonramirezvillalobos sensorlessschemeforpermanentmagnetsynchronousmotorssusceptibletotimevaryingloadtorques
AT luisncoria sensorlessschemeforpermanentmagnetsynchronousmotorssusceptibletotimevaryingloadtorques
AT corinaplataante sensorlessschemeforpermanentmagnetsynchronousmotorssusceptibletotimevaryingloadtorques