Performance of Multistep Finite Control Set Model Predictive Control for Power Electronics

The performance of direct model predictive control (MPC) with reference tracking and long prediction horizons is evaluated through simulations, using the current control problem of a variable speed drive system with a voltage source inverter as an illustrative example. A modified sphere decoding algorithm is used to efficiently solve the optimization problem underlying MPC for long horizons. For a horizon of five and a three-level inverter, for example, the computational burden is reduced by four orders of magnitude, compared to the standard exhaustive search approach. This paper illustrates the performance gains that are achievable by using prediction horizons larger than one. Specifically, for long prediction horizons and a low switching frequency, the total harmonic distortion of the current is significantly lower than for space vector modulation, making direct MPC with long horizons an attractive and computationally viable control scheme.

[1]  Leopoldo G. Franquelo,et al.  Guidelines for weighting factors design in Model Predictive Control of power converters and drives , 2009, 2009 IEEE International Conference on Industrial Technology.

[2]  Patricio Cortes,et al.  Predictive Control of Power Converters and Electrical Drives: Rodriguez/Predictive Control of Power Converters and Electrical Drives , 2012 .

[3]  Giuseppe S. Buja Optimum Output Waveforms in PWM Inverters , 1980, IEEE Transactions on Industry Applications.

[4]  Manfred Morari,et al.  Model Predictive Direct Torque Control—Part II: Implementation and Experimental Evaluation , 2009, IEEE Transactions on Industrial Electronics.

[5]  D. G. Holmes,et al.  Optimized space vector switching sequences for multilevel inverters , 2003 .

[6]  Graham C. Goodwin,et al.  Multistep optimal analog-to-digital conversion , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[7]  Tobias Geyer,et al.  Low complexity model predictive control in power electronics and power systems , 2005 .

[8]  Richard G. Hoft,et al.  Generalized Techniques of Harmonic Elimination and Voltage Control in Thyristor Inverters: Part I--Harmonic Elimination , 1973 .

[9]  Marian P. Kazmierkowski,et al.  State of the Art of Finite Control Set Model Predictive Control in Power Electronics , 2013, IEEE Transactions on Industrial Informatics.

[10]  Graham C. Goodwin,et al.  Quantization of Filter Bank Frame Expansions Through Moving Horizon Optimization , 2009, IEEE Transactions on Signal Processing.

[11]  D. Quevedo,et al.  Multistep direct model predictive control for power electronics — Part 2: Analysis , 2013, 2013 IEEE Energy Conversion Congress and Exposition.

[12]  Tobias Geyer,et al.  Generalized Model Predictive Direct Torque Control: Long prediction horizons and minimization of switching losses , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[13]  Graham C. Goodwin,et al.  Conditions for optimality of Naïve quantized finite horizon control , 2007, Int. J. Control.

[14]  Daniel E. Quevedo,et al.  Performance of Multistep Finite Control Set Model Predictive Control for Power Electronics , 2014, IEEE Transactions on Power Electronics.

[15]  Tobias Geyer,et al.  Model Predictive Pulse Pattern Control for the Five-Level Active Neutral-Point-Clamped Inverter , 2013 .

[16]  Georgios Papafotiou,et al.  Model Predictive Direct Torque Control for MV drives with LC filters , 2009, 2009 13th European Conference on Power Electronics and Applications.

[17]  Manfred Morari,et al.  Model Predictive Direct Torque Control—Part I: Concept, Algorithm, and Analysis , 2009, IEEE Transactions on Industrial Electronics.

[18]  G. Goodwin,et al.  Finite constraint set receding horizon quadratic control , 2004 .

[19]  T. Geyer,et al.  Model Predictive Direct Current Control: Formulation of the Stator Current Bounds and the Concept of the Switching Horizon , 2012, IEEE Industry Applications Magazine.

[20]  U. Fincke,et al.  Improved methods for calculating vectors of short length in a lattice , 1985 .

[21]  G. Papafotiou,et al.  Model predictive pulse pattern control , 2011, 2011 IEEE Energy Conversion Congress and Exposition.

[22]  Manfred Morari,et al.  A hybrid model predictive control approach to the direct torque control problem of induction motors , 2007 .

[23]  Joachim Holtz,et al.  Synchronous optimal pulsewidth modulation and stator flux trajectory control for medium voltage drives , 2005 .

[24]  Graham C. Goodwin,et al.  Moving horizon design of discrete coefficient FIR filters , 2005, IEEE Transactions on Signal Processing.

[25]  Babak Hassibi,et al.  On the sphere-decoding algorithm I. Expected complexity , 2005, IEEE Transactions on Signal Processing.

[26]  Marian P. Kazmierkowski,et al.  “Predictive control in power electronics and drives” , 2008, 2008 IEEE International Symposium on Industrial Electronics.

[27]  Joachim Holtz,et al.  Fast current trajectory tracking control based on synchronous optimal pulsewidth modulation , 1994, Proceedings of 1994 IEEE Industry Applications Society Annual Meeting.

[28]  Graham C. Goodwin,et al.  How Good is Quantized Model Predictive Control With Horizon One? , 2011, IEEE Transactions on Automatic Control.

[29]  Graham C. Goodwin,et al.  Multistep Detector for Linear ISI-Channels Incorporating Degrees of Belief in Past Estimates , 2007, IEEE Transactions on Communications.

[30]  Lars Grüne,et al.  On the Infinite Horizon Performance of Receding Horizon Controllers , 2008, IEEE Transactions on Automatic Control.