Modeling and control of a permanent-magnet brushless DC motor drive using a fractional order proportional-integral-derivative controller

This paper deals with the speed control of a permanent-magnet brushless direct current (PMBLDC) motor. A fractional order PID (FOPID) controller is used in place of the conventional PID controller. The FOPID controller is a generalized form of the PID controller in which the order of integration and differentiation is any real number. It is shown that the proposed controller provides a powerful framework to control the PMBLDC motor. Parameters of the controller are found by using a novel dynamic particle swarm optimization (dPSO) method. The frequency domain pole-zero (p-z) interlacing method is used to approximate the fractional order operator. A three-phase inverter with four switches is used in place of the conventional six-switches inverter to suggest a cost-effective control scheme. The digital controller has been implemented using a field programmable gate array (FPGA). The control scheme is verified using the FPGA-in-the-loop (FIL) wizard of MATLAB/Simulink. Improvement in the overall performance of the system is observed using the proposed FOPID controller. The energy efficient nature of the FOPID controller is also demonstrated.

[1]  C. Halijak,et al.  Approximation of Fractional Capacitors (1/s)^(1/n) by a Regular Newton Process , 1964 .

[2]  R. Krishnan,et al.  Permanent Magnet Synchronous and Brushless DC Motor Drives , 2009 .

[3]  Kwang Y. Lee,et al.  Tuning of Optimal Classical and Fractional Order PID Parameters forAutomatic Generation Control Based on the Bacterial Swarm Optimization , 2015 .

[4]  Shantanu Das,et al.  Design and Realization of Stand-Alone Digital Fractional Order PID Controller for Buck Converter Fed DC Motor , 2016, Circuits Syst. Signal Process..

[5]  Bhimrao S. Umre,et al.  Reactive power control using dynamic Particle Swarm Optimization for real power loss minimization , 2012 .

[6]  Amit Konar,et al.  Tuning PID and PI/λDδ Controllers using the Integral Time Absolute Error Criterion , 2008, 2008 4th International Conference on Information and Automation for Sustainability.

[7]  Ali Emadi,et al.  An FPGA-Based Novel Digital PWM Control Scheme for BLDC Motor Drives , 2009, IEEE Transactions on Industrial Electronics.

[8]  Superior Técnico,et al.  Fractional control toolbox for MatLab , 2005 .

[9]  I. Podlubny.  Fractional-order systems and PIλDμ-controllers , 1999, IEEE Trans. Autom. Control..

[10]  Ömer Aydoğdu,et al.  An effective real coded GA based fuzzy controller for speed control of a BLDC motor without speed sensor , 2011 .

[11]  Pragasen Pillay,et al.  Modeling, simulation, and analysis of permanent-magnet motor drives. II. The brushless DC motor drive , 1989 .

[12]  Suman Saha,et al.  On the Selection of Tuning Methodology of FOPID Controllers for the Control of Higher Order Processes , 2011, ISA transactions.

[13]  Tore Hägglund,et al.  The future of PID control , 2000 .

[14]  Alain Oustaloup,et al.  Frequency-band complex noninteger differentiator: characterization and synthesis , 2000 .

[15]  Mehrdad Ehsani,et al.  On the feasibility of four-switch three-phase BLDC motor drives for low cost commercial applications: topology and control , 2003 .

[16]  Austin Hughes,et al.  Electric Motors and Drives: Fundamentals, Types and Applications , 1990 .

[17]  S. Das,et al.  A New Method for Getting Rational Approximation for Fractional Order Differintegrals , 2015 .

[18]  S. Das.  Functional Fractional Calculus , 2011 .

[19]  Mustafa Türk,et al.  Fractional order PID and application of its circuit model , 2016 .

[20]  J. A. Tenreiro Machado,et al.  Discrete-time fractional-order controllers , 2001 .

[21]  Ashwin Dhabale,et al.  Erratum to: Design of new practical phase shaping circuit using optimal pole–zero interlacing algorithm for fractional order PID controller , 2017 .

[22]  Yakup Demir,et al.  Effects on the chaotic system of fractional order PIα controller , 2009 .

[23]  Jürgen Branke,et al.  Evolutionary optimization in uncertain environments-a survey , 2005, IEEE Transactions on Evolutionary Computation.

[24]  Mohammad Tabatabaei,et al.  Fractional order [PI], [PD] and [PI][PD] controller design using Bode’s integrals , 2018 .

[25]  Youguo Pi,et al.  Study of the fractional order proportional integral controller for the permanent magnet synchronous motor based on the differential evolution algorithm. , 2016, ISA transactions.

[26]  Shantanu Das,et al.  Design and implementation of digital fractional order PID controller using optimal pole-zero approximation method for magnetic levitation system , 2018, IEEE/CAA Journal of Automatica Sinica.

[27]  Sudhir Agashe,et al.  Review of fractional PID controller , 2016 .

[28]  Ali Emadi,et al.  A Novel Digital Control Technique for Brushless DC Motor Drives , 2007, IEEE Transactions on Industrial Electronics.