Online Algebraic Estimation of Parameters and Disturbances in Brushless DC Motors
Parameter identification in dynamical systems is a well-known problem with many applications in control design, system monitoring, and fault detection. As these systems are increasingly integrated into complex and demanding environments, challenges such as rapid response, uncertainty handling, and d...
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MDPI AG
2024-12-01
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| Series: | Machines |
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| Online Access: | https://www.mdpi.com/2075-1702/13/1/16 |
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| author | David Marcos-Andrade Francisco Beltran-Carbajal Alexis Castelan-Perez Ivan Rivas-Cambero Jesús C. Hernández |
| author_facet | David Marcos-Andrade Francisco Beltran-Carbajal Alexis Castelan-Perez Ivan Rivas-Cambero Jesús C. Hernández |
| author_sort | David Marcos-Andrade |
| collection | DOAJ |
| description | Parameter identification in dynamical systems is a well-known problem with many applications in control design, system monitoring, and fault detection. As these systems are increasingly integrated into complex and demanding environments, challenges such as rapid response, uncertainty handling, and disturbance rejection must be addressed. This paper presents a real-time estimation technique for parameters and load torque in brushless DC (BLDC) motors. These electrical machines are extensively used in engineering applications and often operate under hard conditions. The proposed method is based on algebraic identification, known for its robust performance in both linear and nonlinear systems. In utilizing the mathematical model of a BLDC motor, a set of equations is derived to enable parameter estimation, assuming the availability of input and output measurements in open loop. Moreover, unknown load torque is estimated by approximating the disturbance over a short time window using Taylor series expansion polynomials. The theoretical contribution is analytically validated and is also verified through numerical evaluations revealing the effectiveness of the proposed technique for real-time parameter and disturbance estimation in BLDC motors over other important techniques. Additionally, to address potential peaks in the estimation process, a modification involving an exponent is introduced to mitigate these issues. |
| format | Article |
| id | doaj-art-9f52ccc0755043e1bfd946788e61268f |
| institution | Kabale University |
| issn | 2075-1702 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Machines |
| spelling | doaj-art-9f52ccc0755043e1bfd946788e61268f2025-01-24T13:39:08ZengMDPI AGMachines2075-17022024-12-011311610.3390/machines13010016Online Algebraic Estimation of Parameters and Disturbances in Brushless DC MotorsDavid Marcos-Andrade0Francisco Beltran-Carbajal1Alexis Castelan-Perez2Ivan Rivas-Cambero3Jesús C. Hernández4Departamento de Posgrado, Universidad Politécnica de Tulancingo, Tulancingo 43629, MexicoDepartamento de Energía, Unidad Azcapotzalco, Universidad Autónoma Metropolitana, Azcapotzalco, Mexico City 02200, MexicoDepartamento de Posgrado, Universidad Politécnica de Tulancingo, Tulancingo 43629, MexicoDepartamento de Posgrado, Universidad Politécnica de Tulancingo, Tulancingo 43629, MexicoDepartment of Electrical Engineering, University of Jaén, Campus Lagunillas s/n, Edificio A3, 23071 Jaén, SpainParameter identification in dynamical systems is a well-known problem with many applications in control design, system monitoring, and fault detection. As these systems are increasingly integrated into complex and demanding environments, challenges such as rapid response, uncertainty handling, and disturbance rejection must be addressed. This paper presents a real-time estimation technique for parameters and load torque in brushless DC (BLDC) motors. These electrical machines are extensively used in engineering applications and often operate under hard conditions. The proposed method is based on algebraic identification, known for its robust performance in both linear and nonlinear systems. In utilizing the mathematical model of a BLDC motor, a set of equations is derived to enable parameter estimation, assuming the availability of input and output measurements in open loop. Moreover, unknown load torque is estimated by approximating the disturbance over a short time window using Taylor series expansion polynomials. The theoretical contribution is analytically validated and is also verified through numerical evaluations revealing the effectiveness of the proposed technique for real-time parameter and disturbance estimation in BLDC motors over other important techniques. Additionally, to address potential peaks in the estimation process, a modification involving an exponent is introduced to mitigate these issues.https://www.mdpi.com/2075-1702/13/1/16algebraic identificationbrushless DC motormotor controlsynchronous motors |
| spellingShingle | David Marcos-Andrade Francisco Beltran-Carbajal Alexis Castelan-Perez Ivan Rivas-Cambero Jesús C. Hernández Online Algebraic Estimation of Parameters and Disturbances in Brushless DC Motors Machines algebraic identification brushless DC motor motor control synchronous motors |
| title | Online Algebraic Estimation of Parameters and Disturbances in Brushless DC Motors |
| title_full | Online Algebraic Estimation of Parameters and Disturbances in Brushless DC Motors |
| title_fullStr | Online Algebraic Estimation of Parameters and Disturbances in Brushless DC Motors |
| title_full_unstemmed | Online Algebraic Estimation of Parameters and Disturbances in Brushless DC Motors |
| title_short | Online Algebraic Estimation of Parameters and Disturbances in Brushless DC Motors |
| title_sort | online algebraic estimation of parameters and disturbances in brushless dc motors |
| topic | algebraic identification brushless DC motor motor control synchronous motors |
| url | https://www.mdpi.com/2075-1702/13/1/16 |
| work_keys_str_mv | AT davidmarcosandrade onlinealgebraicestimationofparametersanddisturbancesinbrushlessdcmotors AT franciscobeltrancarbajal onlinealgebraicestimationofparametersanddisturbancesinbrushlessdcmotors AT alexiscastelanperez onlinealgebraicestimationofparametersanddisturbancesinbrushlessdcmotors AT ivanrivascambero onlinealgebraicestimationofparametersanddisturbancesinbrushlessdcmotors AT jesuschernandez onlinealgebraicestimationofparametersanddisturbancesinbrushlessdcmotors |