A Predictive Current Control for a Single-Phase Matrix Converter marcoriv@utalca.cl M. Rivera, S. Rojas, P. Wheeler, J. Rodriguez February 24, 2016
A Predictive Current Control for a Single-Phase Matrix Converter Outline Outline 1 Introduction 2 Single-Phase Matrix Converter 3 Classical Modulation and Control Techniques for MCs 4 Model Predictive Current Control 5 Results 6 Conclusions
A Predictive Current Control for a Single-Phase Matrix Converter Introduction Matrix converters � A simple and compact power circuit. � Generation of load voltage with arbitrary amplitude and frequency. � Sinusoidal input and output currents. � Operation with unity power factor. � Regeneration capability. These highly attractive characteristics are the reason for the tremendous interest in this topology.
A Predictive Current Control for a Single-Phase Matrix Converter Introduction Matrix converters � A simple and compact power circuit. � Generation of load voltage with arbitrary amplitude and frequency. � Sinusoidal input and output currents. � Operation with unity power factor. � Regeneration capability. These highly attractive characteristics are the reason for the tremendous interest in this topology.
A Predictive Current Control for a Single-Phase Matrix Converter Introduction Matrix converters � After three decades of research, this converter is reaching industrial appli- cation. � Yaskawa, big company offering a complete line of matrix converters. � Rated power (and voltages) of 9-114kVA (200V and 400V) for low voltage. � Rated power (and voltages) of 200-6000kVA (3.3kV and 6.6kV) for medium voltage.
A Predictive Current Control for a Single-Phase Matrix Converter Introduction Multi-modular matrix converter 3x2 MC Module 1 Bi-directional Switches S 11 i A S 12 p A + S 13 i 1sa i 1swa v 1sa a i Cf v 1sb i 1sb b v AN i 1sc v 1sc c S 14 S 15 q - C f S 16 3x2 MC Module 2 S 21 i B S 22 p B load + S 23 i pa v pa i 2sa i 2swa v 2sa a i pb i 2sb i v BN v pb v 2sb b Cf i 2sc i pc v 2sc c v pc S 24 S 25 q - N C f S 26 3x2 MC Module 3 S 31 i C S 32 p C + S 33 i 3swa v 3sa i 3sa a i Cf v 3sb i 3sb v CN b i 3sc v 3sc c S 34 S 35 q - C f S 36
A Predictive Current Control for a Single-Phase Matrix Converter Introduction Multi-modular matrix converter with nine modules N - v A1 A1 + B1 C1 20 δ = − ° - A2 v A2 3x2 MC + Module B2 C2 δ = 0 ° - A3 v A3 + B3 C3 δ = + 20 ° A B C load
A Predictive Current Control for a Single-Phase Matrix Converter Single-Phase Matrix Converter Topology and mathematical model S 1 S 2 i o v p = v p � � S 1 S 2 S 3 v i , S 3 v n = � � i A S 4 S 5 S 6 v i . v A i B v B i C v C S 1 − S 4 i o . i i = (1) S 2 − S 5 S 6 S 3 − S 6 C f v n S 5 S 4
A Predictive Current Control for a Single-Phase Matrix Converter Single-Phase Matrix Converter Nine valid switching states v p v n # S 1 S 2 S 3 S 4 S 5 S 6 i A i B i C 1 0 0 1 0 0 1 v C v C 0 0 0 2 0 1 0 0 1 0 0 0 0 v B v B 3 1 0 0 1 0 0 v A v A 0 0 0 4 0 0 1 0 1 0 v C v B 0 − i o i o 5 0 0 1 1 0 0 0 v C v A − i o i o 6 0 1 0 0 0 1 v B v C 0 i o − i o 7 0 1 0 1 0 0 v B v A − i o i o 0 8 1 0 0 0 0 1 0 v A v C i o − i o 9 1 0 0 0 1 0 v A v B i o − i o 0
A Predictive Current Control for a Single-Phase Matrix Converter Classical Modulation and Control Techniques for MCs Modulation and Control Methods for Matrix Converters Scalar Pulse Width Direct Torque Direct Power Model Predictive Others Techniques Modulation Control Control Control The most used techniques nowadays are Venturini, carrier-based pulse width modulation (CB-PWM), space vector modulation (SVM) and direct torque con- trol (DTC).
A Predictive Current Control for a Single-Phase Matrix Converter Classical Modulation and Control Techniques for MCs Finite-set model predictive control � One of the latest and most successful strategies for MC. � A simple and powerful alternative to control power converters. � Fast dynamic response and simple concept. � Nonlinearities and constrains can easily be included in the controller. � Uses the dynamic model of the system to predict its future behavior and based on this prediction, the proper switching state is selected.
A Predictive Current Control for a Single-Phase Matrix Converter Model Predictive Current Control Control scheme v C v B v A C f i C i B i A i ∗ o Minimization Signals Sws Cost S 4 S 5 S 6 S 3 S 2 S 1 i o ( k ) i o ( k + 1) Prediction Function Model v ( k ) i o ( k + 1) g k +1 Load v n v p
A Predictive Current Control for a Single-Phase Matrix Converter Model Predictive Current Control Model predictive current control Predictive model: i o ( k + 1) = ( T s / L ) v ( k ) + (1 − RT s / L ) i o ( k ) Cost function optimization: o ( k + 1) − i o ( k + 1)) 2 g ( k + 1) = ( i ∗
A Predictive Current Control for a Single-Phase Matrix Converter Results Results in Steady State i o = 6 Apk; f o = 50 Hz; f s = 20 kHz; v i = 112 Vpk 10 10 5 5 0 0 −5 −5 −10 −10 0 0.01 0.02 0.03 0.04 0.05 0.06 0 0.01 0.02 0.03 0.04 0.05 0.06 200 200 100 100 0 0 −100 −100 −200 −200 0 0.01 0.02 0.03 0.04 0.05 0.06 0 0.01 0.02 0.03 0.04 0.05 0.06 Simulation results Experimental results
A Predictive Current Control for a Single-Phase Matrix Converter Results Results in Steady State i o = 6 Apk; f o = 50 Hz; f s = 40 kHz; v i = 112 Vpk 10 10 5 5 0 0 −5 −5 −10 −10 0 0.01 0.02 0.03 0.04 0.05 0.06 0 0.01 0.02 0.03 0.04 0.05 0.06 200 200 100 100 0 0 −100 −100 −200 −200 0 0.01 0.02 0.03 0.04 0.05 0.06 0 0.01 0.02 0.03 0.04 0.05 0.06 Simulation results Experimental results
A Predictive Current Control for a Single-Phase Matrix Converter Results Results in Transient State i o = 6-3 Apk; f o = 50 Hz; f s = 20 kHz; v i = 112 Vpk 10 10 5 5 0 0 −5 −5 −10 −10 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 0.03 0.035 0.04 0.045 0.05 0.055 0.06 0.065 0.07 200 200 100 100 0 0 −100 −100 −200 −200 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 0.03 0.035 0.04 0.045 0.05 0.055 0.06 0.065 0.07 Simulation results Experimental results
A Predictive Current Control for a Single-Phase Matrix Converter Results Results in Transient State i o = 4 Apk; f o = 50-25 Hz; f s = 20 kHz; v i = 112 Vpk 10 10 5 5 0 0 −5 −5 −10 −10 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.03 0.04 0.05 0.06 0.07 0.08 0.09 200 200 100 100 0 0 −100 −100 −200 −200 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.03 0.04 0.05 0.06 0.07 0.08 0.09 Simulation results Experimental results
A Predictive Current Control for a Single-Phase Matrix Converter Results Results Analysis Mean average error of i ref versus i o @ f o = 50 Hz Sampling ( f s ) Amplitude ( i o ) Error ( e sim ) Error ( e exp ) 10 kHz 2 Apk 6,994% 8,294% 10 kHz 6 Apk 4,732% 6,640% 20 kHz 2 Apk 4,192% 5,541% 20 kHz 6 Apk 2,869% 4,796% 40 kHz 2 Apk 2,097% 5,181% 40 kHz 6 Apk 1,425% 5,112% Total harmonic distortion of the load current @ f o = 50 Hz Sampling ( f s ) Amplitude ( i ref ) THD Sim. ( i o ) THD Exp. ( i o ) 10 kHz 2 Apk 12,534% 11,572% 10 kHz 6 Apk 7,235% 10,121% 20 kHz 2 Apk 6,608% 7,830% 20 kHz 6 Apk 4,387% 6,923% 40 kHz 2 Apk 3,465% 10,307% 40 kHz 6 Apk 2,376% 8,837%
A Predictive Current Control for a Single-Phase Matrix Converter Conclusions Conclusions � A finite control set model predictive current control has been presented for a single-phase matrix converter. � The control scheme predicts the future current behavior for each valid switching state of the converter and choose the one that minimizes the cost function. � The gate drive signals for the power switches are generated directly by the controller. � Our results demonstrated that the presented strategy provides good track- ing of the output current to its reference. � Simple and intuitive method.
A Predictive Current Control for a Single-Phase Matrix Converter Conclusions Acknowledgments Acknowledgments This publication was made possible by the Newton Picarte Project EPSRC: EP/N004043/1: New Configurations of Power Converters for Grid Interconnection Systems / CONICYT DPI20140007 and British Council through the Institutional Skills Development Newton Picarte Project ISCL 2015006. Thanks for your attention ... Contact: Prof. Marco Rivera - marcoriv@utalca.cl
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