Comparative Analysis of Integer-order and Fractional-order Proportional Integral Speed Controllers for Induction Motor Drive Systems

Linear proportional–integral (PI) controllers are an attractive choice for controlling the speed of induction machines because of their simplicity and ease of implementation. Fractional-order PI (FO–PI) controllers, however, perform better than PI controllers because of their nonlinear nature and the underlying iso-damping property of fractional-order operators. In this work, an FO–PI controller based on the proposed first-order plus dead-time induction motor model and integer-order (IO) controllers, such as Ziegler–Nichols PI, Cohen–Coon PI, and a PI controller tuned via trial-and-error method, is designed. Simulation and experimental investigation on an indirect field-oriented induction motor drive system proves that the proposed FO–PI controller has better speed tracking, lesser settling time, better disturbance rejection, and lower speed tracking error compared with linear IO–PI controllers. Our experimental study also validates that the FO–PI controller maximizes the torque per ampere output of the induction machine and can effectively control the motor at low speed, in field-weakening regions, and under detuned conditions.

[1]  Yan-Fei Liu,et al.  A new robust algorithm to improve the dynamic performance on the speed control of induction motor drive , 2004, IEEE Transactions on Power Electronics.

[2]  A. Mezouar,et al.  Robust speed control with rotor resistance estimation , 2013, Canadian Journal of Electrical and Computer Engineering.

[3]  Habibur Rehman,et al.  A high performance speed regulator design for AC machines , 2016, 2016 IEEE Applied Power Electronics Conference and Exposition (APEC).

[4]  Xi Zhang,et al.  Sensorless Induction Motor Drive Using Indirect Vector Controller and Sliding-Mode Observer for Electric Vehicles , 2013, IEEE Transactions on Vehicular Technology.

[5]  D. Casadei,et al.  A Comparison of Four Robust Control Schemes for Field-Weakening Operation of Induction Motors , 2012, IEEE Transactions on Power Electronics.

[6]  Qing-Chang Zhong,et al.  Advanced Integrated Modeling and Analysis for Adjustable Speed Drives of Induction Motors Operating With Minimum Losses , 2015, IEEE Transactions on Energy Conversion.

[7]  S. Manabe.  The non-integer integral and its application to control systems. , 1961 .

[8]  Eric Rogers,et al.  A Cascade MPC Control Structure for a PMSM With Speed Ripple Minimization , 2013, IEEE Transactions on Industrial Electronics.

[9]  J. Sabatier,et al.  Extension of PID to fractional orders controllers: a frequency-domain tutorial presentation , 2014 .

[10]  Shayok Mukhopadhyay,et al.  Fractional Order Modeling and Control: Development of Analog Strategies for Plasma Position Control of the Stor-1M Tokamak , 2009 .

[11]  Adil Khurram.  Performance Enhancement of Field Oriented Induction Motor Drive System , 2016 .

[12]  S. K. Sahoo,et al.  A synchronized sinusoidal PWM based rotor flux oriented controlled induction motor drive for traction application , 2013, 2013 Twenty-Eighth Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[13]  Asier Zubizarreta,et al.  Efficient Multivariable Generalized Predictive Control for Sensorless Induction Motor Drives , 2014, IEEE Transactions on Industrial Electronics.

[14]  Jie Li,et al.  Robust Speed Control of Induction Motor Drives Using First-Order Auto-Disturbance Rejection Controllers , 2012, IEEE Transactions on Industry Applications.

[15]  Pengfei Wang,et al.  Passivity-based control of induction motor based on euler-lagrange (EL) model with flexible damping , 2008, 2008 International Conference on Electrical Machines and Systems.

[16]  Vadim I. Utkin,et al.  Sliding mode control design principles and applications to electric drives , 1993, IEEE Trans. Ind. Electron..

[17]  H. Michalska,et al.  Receding horizon control of nonlinear systems , 1988, Proceedings of the 28th IEEE Conference on Decision and Control,.

[18]  Y. Chen,et al.  Practical Tuning Rule Development for Fractional Order Proportional and Integral Controllers , 2008 .

[19]  K. Åström,et al.  Revisiting The Ziegler‐Nichols Tuning Rules For Pi Control , 2002 .

[20]  Yue Wang,et al.  Speed regulation of induction motor using sliding mode control scheme , 2005, Fourtieth IAS Annual Meeting. Conference Record of the 2005 Industry Applications Conference, 2005..

[21]  Seung-Ki Sul,et al.  Maximum torque control of an induction machine in the field weakening region , 1993, Conference Record of the 1993 IEEE Industry Applications Conference Twenty-Eighth IAS Annual Meeting.

[22]  Yen-Shin Lai,et al.  Novel Voltage Trajectory Control for Field-Weakening Operation of Induction Motor Drives , 2009, IEEE Transactions on Industry Applications.

[23]  J. G. Ziegler,et al.  Optimum Settings for Automatic Controllers , 1942, Journal of Fluids Engineering.

[24]  M. Masiala,et al.  Fuzzy Self-Tuning Speed Control of an Indirect Field-Oriented Control Induction Motor Drive , 2007, 2007 IEEE Industry Applications Annual Meeting.

[25]  Jingqing Han,et al.  From PID to Active Disturbance Rejection Control , 2009, IEEE Trans. Ind. Electron..

[26]  Longya Xu,et al.  Fuzzy logic enhanced speed control of an indirect field oriented induction machine drive , 1995 .

[27]  Ali Saghafinia,et al.  Adaptive Fuzzy Sliding-Mode Control Into Chattering-Free IM Drive , 2015, IEEE Transactions on Industry Applications.

[28]  Ralph Kennel,et al.  Cascade-Free Predictive Speed Control for Electrical Drives , 2014, IEEE Transactions on Industrial Electronics.

[29]  I. Podlubny.  Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .