Grey Wolf Optimization Algorithm Based State Feedback Control for a Bearingless Permanent Magnet Synchronous Machine

In this article, an optimal control strategy for a bearingless permanent magnet synchronous machine (BPMSM) drive is proposed. The state feedback control (SFC) based on the grey wolf optimization (GWO) algorithm is applied. As for the BPMSM system, coupling and nonlinearity exist, which hinders the SFC. Hence, the linearization of the BPMSM mathematical model is implemented first. Second, the discretized state model with the augmented integrals of the displacement error and the angular speed error is obtained. Then, the weighting matrices $K_{d}$ are obtained by employing the GWO algorithm. Finally, simulations and experiments are carried out to verify the effectiveness of the proposed method. Comparisons between the controllers with and without the penalty term are conducted. Meanwhile, the proportional-integral (PI) controllers based on the genetic algorithm and the proposed one are compared as well. The results show the superiority of the proposed method reflecting in faster response and no overshoot compared with the PI controllers.

[1]  W. Amrhein,et al.  Nonlinear Feedback Control of a Bearingless Brushless DC Motor , 2010, 2005 International Conference on Power Electronics and Drives Systems.

[2]  J. Dai,et al.  Research on rotor eccentricity compensation control for bearingless surface-mounted permanent-magnet motors based on an exact analytical method , 2015, 2015 IEEE Magnetics Conference (INTERMAG).

[3]  Xiongfeng Deng,et al.  Optimal analysis of the weighted matrices in LQR based on the differential evolution algorithm , 2017, 2017 29th Chinese Control And Decision Conference (CCDC).

[4]  Daladier Jabba Molinares,et al.  ERNEAD: Training of Artificial Neural Networks Based on a Genetic Algorithm and Finite Automata Theory , 2018 .

[5]  Michal Brasel.  A gain-scheduled multivariable LQR controller for permanent magnet synchronous motor , 2014, 2014 19th International Conference on Methods and Models in Automation and Robotics (MMAR).

[6]  Hany M. Hasanien,et al.  Augmented grey wolf optimizer for grid-connected PMSG-based wind energy conversion systems , 2018, Appl. Soft Comput..

[7]  Radu-Emil Precup,et al.  Grey Wolf Optimizer Algorithm-Based Tuning of Fuzzy Control Systems With Reduced Parametric Sensitivity , 2017, IEEE Transactions on Industrial Electronics.

[8]  Huangqiu Zhu,et al.  Direct torque and direct suspension force control of bearingless permanent magnet synchronous motor , 2010, 2010 Chinese Control and Decision Conference.

[9]  Hany M. Hasanien,et al.  A Grey Wolf Optimizer for Optimum Parameters of Multiple PI Controllers of a Grid-Connected PMSG Driven by Variable Speed Wind Turbine , 2018, IEEE Access.

[10]  Fang Lin Luo,et al.  Direct Control of Radial Displacement for Bearingless Permanent-Magnet-Type Synchronous Motors , 2009, IEEE Transactions on Industrial Electronics.

[11]  Hany M. Hasanien,et al.  Single and Multi-objective Optimal Power Flow Using Grey Wolf Optimizer and Differential Evolution Algorithms , 2015 .

[12]  Lech M. Grzesiak,et al.  Particle Swarm Optimization of the Multioscillatory LQR for a Three-Phase Four-Wire Voltage-Source Inverter With an $LC$ Output Filter , 2015, IEEE Transactions on Industrial Electronics.

[13]  Wenping Cao,et al.  Online Two-Section PV Array Fault Diagnosis With Optimized Voltage Sensor Locations , 2015, IEEE Transactions on Industrial Electronics.

[14]  Zebin Yang,et al.  High-Performance Control for a Bearingless Permanent-Magnet Synchronous Motor Using Neural Network Inverse Scheme Plus Internal Model Controllers , 2016, IEEE Transactions on Industrial Electronics.

[15]  Zebin Yang,et al.  Speed-Sensorless Vector Control of a Bearingless Induction Motor With Artificial Neural Network Inverse Speed Observer , 2013, IEEE/ASME Transactions on Mechatronics.

[16]  Mounir Ayadi,et al.  PID-type fuzzy logic controller tuning based on particle swarm optimization , 2012, Eng. Appl. Artif. Intell..

[17]  A. Jabbarzadeh,et al.  Accelerated Cuckoo Optimization Algorithm for Capacitated Vehicle Routing Problem in Competitive Conditions , 2018 .

[18]  Lech M. Grzesiak,et al.  Constrained State Feedback Speed Control of PMSM Based on Model Predictive Approach , 2016, IEEE Transactions on Industrial Electronics.

[19]  Hany M. Hasanien,et al.  Hybrid ANFIS-GA-based control scheme for performance enhancement of a grid-connected wind generator , 2018 .

[20]  Lei Huang,et al.  Speed Control of Bearingless Permanent Magnet Synchronous Motor Based on Flux Strengthening and Voltage Regulation , 2018, IEEE Access.

[21]  Abdelkader Benyettou,et al.  Gray Wolf Optimizer for hyperspectral band selection , 2016, Appl. Soft Comput..

[22]  Xiaodong Sun,et al.  Performance Improvement of Torque and Suspension Force for a Novel Five-Phase BFSPM Machine for Flywheel Energy Storage Systems , 2019, IEEE Transactions on Applied Superconductivity.

[23]  M. Rahman,et al.  Effects of Permanent-Magnet Passive Magnetic Bearing on a Two-Axis Actively Regulated Low-Speed Bearingless Motor , 2011, IEEE Transactions on Energy Conversion.

[24]  Ravi Shankar,et al.  Comparison between GA-based LQR and conventional LQR control method of DFIG wind energy system , 2016, 2016 3rd International Conference on Recent Advances in Information Technology (RAIT).

[25]  Alin Albu-Schäffer,et al.  Robust Adaptive Tracking Control Based on State Feedback Controller With Integrator Terms for Elastic Joint Robots With Uncertain Parameters , 2018, IEEE Transactions on Control Systems Technology.

[26]  Bruno Augusto Angélico,et al.  Tuning of a PI-MR Controller Based on Differential Evolution Metaheuristic Applied to the Current Control Loop of a Shunt-APF , 2017, IEEE Transactions on Industrial Electronics.

[27]  Andrew Lewis,et al.  Grey Wolf Optimizer , 2014, Adv. Eng. Softw..