A Predictive Current Control for a Single-Phase Matrix Converter - - PowerPoint PPT Presentation

a predictive current control for a single phase matrix
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A Predictive Current Control for a Single-Phase Matrix Converter - - PowerPoint PPT Presentation

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


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SLIDE 1

A Predictive Current Control for a Single-Phase Matrix Converter

marcoriv@utalca.cl

  • M. Rivera, S. Rojas, P. Wheeler, J. Rodriguez

February 24, 2016

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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

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SLIDE 3

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.

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SLIDE 4

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.

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SLIDE 5

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.

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SLIDE 6

A Predictive Current Control for a Single-Phase Matrix Converter Introduction

Multi-modular matrix converter

3x2 MC Module 2 Cf B S21 v2sa v2sb v2sc i2sa i2sb i2sc i

Cf

i2swa S22 S23 S24 S25 S26 iB vBN + p q vpa load vpb vpc ipa ipb ipc N

  • 3x2 MC Module 1

Cf A S11 v1sa v1sb v1sc i1sa i1sb i1sc iCf i1swa S12 S13 S14 S15 S16 iA vAN +

  • p

q 3x2 MC Module 3 Cf C S31 v3sa v3sb v3sc i3sa i3sb i3sc iCf i3swa S32 S33 S34 S35 S36 iC vCN +

  • p

q Bi-directional Switches a b c a b c a b c

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SLIDE 7

A Predictive Current Control for a Single-Phase Matrix Converter Introduction

Multi-modular matrix converter with nine modules

A1 B1 C1 A2 B2 C2 A3 B3 C3 load N 20 δ

°

= − δ

°

= 20 δ

°

= + A B C 3x2 MC Module

  • vA1

+

  • vA2

+

  • vA3

+

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SLIDE 8

A Predictive Current Control for a Single-Phase Matrix Converter Single-Phase Matrix Converter

Topology and mathematical model

vA vB vC iA iB iC io v p v n Cf S1 S2 S3 S4 S5 S6

v p =

  • S1

S2 S3

  • vi,

v n =

  • S4

S5 S6

  • vi.

ii =   S1 − S4 S2 − S5 S3 − S6   io. (1)

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SLIDE 9

A Predictive Current Control for a Single-Phase Matrix Converter Single-Phase Matrix Converter

Nine valid switching states

# S1 S2 S3 S4 S5 S6 v p v n iA iB iC 1 1 1 vC vC 2 1 1 vB vB 3 1 1 vA vA 4 1 1 vC vB −io io 5 1 1 vC vA −io io 6 1 1 vB vC io −io 7 1 1 vB vA −io io 8 1 1 vA vC io −io 9 1 1 vA vB io −io

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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 Techniques Pulse Width Modulation Direct Torque Control Direct Power Control

Model Predictive Control Others

The most used techniques nowadays are Venturini, carrier-based pulse width modulation (CB-PWM), space vector modulation (SVM) and direct torque con- trol (DTC).

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SLIDE 11

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.

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A Predictive Current Control for a Single-Phase Matrix Converter Model Predictive Current Control

Control scheme

vA vB vC iA iB iC v p v n Cf S1 S2 S3 S4 S5 S6 Minimization Cost Function Load i∗

  • io(k)

io(k + 1) v(k)

Signals Sws

Prediction Model io(k + 1) g k+1

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A Predictive Current Control for a Single-Phase Matrix Converter Model Predictive Current Control

Model predictive current control

Predictive model: io(k + 1) = (Ts/L)v(k) + (1 − RTs/L)io(k) Cost function optimization: g(k + 1) = (i∗

  • (k + 1) − io(k + 1))2
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SLIDE 14

A Predictive Current Control for a Single-Phase Matrix Converter Results

Results in Steady State

io = 6 Apk; fo = 50 Hz; fs = 20 kHz; vi = 112 Vpk

0.01 0.02 0.03 0.04 0.05 0.06 −10 −5 5 10 0.01 0.02 0.03 0.04 0.05 0.06 −200 −100 100 200

Simulation results

0.01 0.02 0.03 0.04 0.05 0.06 −10 −5 5 10 0.01 0.02 0.03 0.04 0.05 0.06 −200 −100 100 200

Experimental results

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SLIDE 15

A Predictive Current Control for a Single-Phase Matrix Converter Results

Results in Steady State

io = 6 Apk; fo = 50 Hz; fs = 40 kHz; vi = 112 Vpk

0.01 0.02 0.03 0.04 0.05 0.06 −10 −5 5 10 0.01 0.02 0.03 0.04 0.05 0.06 −200 −100 100 200

Simulation results

0.01 0.02 0.03 0.04 0.05 0.06 −10 −5 5 10 0.01 0.02 0.03 0.04 0.05 0.06 −200 −100 100 200

Experimental results

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A Predictive Current Control for a Single-Phase Matrix Converter Results

Results in Transient State

io = 6-3 Apk; fo = 50 Hz; fs = 20 kHz; vi = 112 Vpk

0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 −10 −5 5 10 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0.045 0.05 −200 −100 100 200

Simulation results

0.03 0.035 0.04 0.045 0.05 0.055 0.06 0.065 0.07 −10 −5 5 10 0.03 0.035 0.04 0.045 0.05 0.055 0.06 0.065 0.07 −200 −100 100 200

Experimental results

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A Predictive Current Control for a Single-Phase Matrix Converter Results

Results in Transient State

io = 4 Apk; fo = 50-25 Hz; fs = 20 kHz; vi = 112 Vpk

0.01 0.02 0.03 0.04 0.05 0.06 0.07 −10 −5 5 10 0.01 0.02 0.03 0.04 0.05 0.06 0.07 −200 −100 100 200

Simulation results

0.03 0.04 0.05 0.06 0.07 0.08 0.09 −10 −5 5 10 0.03 0.04 0.05 0.06 0.07 0.08 0.09 −200 −100 100 200

Experimental results

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A Predictive Current Control for a Single-Phase Matrix Converter Results

Results Analysis

Mean average error of iref versus io @ fo = 50 Hz Sampling (fs ) Amplitude (io ) Error (esim ) Error (eexp ) 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 @ fo = 50 Hz Sampling (fs ) Amplitude (iref ) THD Sim. (io ) THD Exp. (io ) 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%

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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.

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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