由於半導體技術的快速發展，諸如轉換器、功率整流器等非線性負載廣泛的應用於高功率場合，而因此導致電力系統上電壓電流的諧波失真。而不平均耦合、開關切換操作異常、配置負載不平衡則進一步產生不平衡電壓電流、諧波失真，甚至頻譜上引起額外頻率的諧波成分，進一步惡化電力品質。
本論文提出一套應用於並聯混合式主動濾波器的控制設計，使之在負載不平衡的狀況下補償其諧波、正負相序基頻虛功。並聯混合式主動濾波器由一組調頻至七次諧波頻率的被動濾波器與一組主動濾波器串聯而成，其整體機組則與負載並聯安裝於共同耦合點。該混合式主動濾波器將操作如諧波補償器，並且將隨著負載所抽取的基頻虛功電流而調整補償之電流，並且在可補償額定容量範圍內得以輸出、補償負相序電流。一組耦合式擷取器能快速擷取負載電流中上述之成分，具有快速的暫態追蹤同時確保相對低的穩態誤差。經補償過後的負載將符合IEEE std. 519-1992的標準規範。最後，本文將使用程式模擬以及實驗機台的量測結果，來驗證所提出的並聯式混合式主動濾波器的特性以及功效。

Due to the drastic development of semiconductor, nonlinear loads are widely used in high-power applications, which results in harmonic distortion of current and voltage in the power system. The abnormal switching operation, unequal mutual coupling and unbalanced loading result in unbalance condition even unbalanced harmonic distortion, and worsen power quality.
This dissertation proposes control algorithm of shunt hybrid active filter to compensate harmonics and fundamental positive- and negative sequence current in unbalanced loading condition. The hybrid active filter consists of an active inverter and a 7th order tuned passive filter in series connection. The hybrid active filter functions as a harmonic current compensator with the capability of modifying its output reactive current and negative sequence fundamental current according to the loading condition. A coupling extractor is proposed to track the mentioned fundamental components with low steady-state error. The compensated loading will comply with the distortion standard of IEEE Std. 519-1992. The simulations and laboratory results are provided to verify the effectiveness of compensation.

致　謝 ii
摘　要 iii
Abstract iv
Table of Contents v
List of Figure viii
List of Table xiii
CHAPTER 1 Introduction 1
1.1 Background and Motive 1
1.2 Objectives 4
1.3 Organization of the Dissertation 5
CHAPTER 2 Literature Review 6
2.1 Standard of Harmonic Distortion 7
2.2 Qualification of Unbalance 11
2.3 Negative Sequence Reactive Power 12
2.4 Synchronous Reference Frame 14
2.5 Shunt Active Filter 18
2.6 Hybrid Active Filter 22
2.6.1 Series Hybrid Active Filter 22
2.6.2 Shunt Hybrid Active Filter 25
CHAPTER 3 Operation Principles 33
3.1 Introduction 33
3.2 Principle of Operation 35
3.3 Coupling Extractor 37
3.4 Harmonic Reference Current Generator 44
3.5 Positive-Sequence Reactive Current Control 45
3.6 DC bus Control 49
3.7 Negative-Sequence Fundamental Current Control 51
3.8 Resonance Harmonic Current Controller 54
3.9 Capability of Power Delivery 57
3.10 Summary 63
CHAPTER 4 Simulation Results and Analysis 65
4.1 Introduction 65
4.2 Simulation Setup 66
4.3 Circuit Analysis 69
4.3.1 Current Controller Design 69
4.3.2 Nonlinear Load Analysis 81
4.3.3 Unintentional Harmonic from Single Phase Nonlinear Load 87
4.4 Simulation Result 94
4.4.1 Tracking Ability of Reference Current Generator 96
4.4.2 Single phase Nonlinear Load 103
CHAPTER 5 Experimental Results 109
5.1 Introduction 109
5.2 Experimental Setup 110
5.3 Steady-State Results 114
5.3.1 Three-phase Nonlinear 114
5.3.2 Unbalanced Nonlinear 124
5.4 Transient-State Results 139
5.4.1 DC bus Voltage 139
5.4.2 Three-phase Nonlinear 142
5.4.3 Unbalance Nonlinear 146
5.4.4 Dynamical Tracking of Coupling Extractor 148
5.5 Summary 152
CHAPTER 6 Conclusion 153
6.1 Future work 154
Reference 156
Appendix 163

[ 1 ] IEEE Recommended practices and requirements for harmonic control in electrical power systems, IEEE Std. 519-1992, 1993.
[ 2 ] IEEE Recommended Practice for Electric Power Distribution for Industrial Plants, IEEE Std. 141-1993, 1994.
[ 3 ] M. Matsui and T. Fukao, "A detecting method for active-reactive-negative-sequence powers and its application," IEEE Trans. on Ind. Appl., vol. 26, no. 1, 1990 , pp. 99-106.
[ 4 ] P. C. Krause, O. Wasynczuk, S. D. Sudhoff, Analysis of electric machinery and drive systems, 2nd ed., New York: Wiley-IEEE, 2002.
[ 5 ] S. Bhattacharya, D.M. Divan and B. Banerjee., "Synchronous frame harmonic isolator using series active filter," EPE/Fourth European Power Electronics Conference. Sept. 3-6, vol. 3, 1991, pp. 30-35.
[ 6 ] S. Bhattacharya, T.M. Frank, D.M. Divan and B. Banerjee , “Active Filter System Implementation,” IEEE Industry Applications Magazine, Vol. 4, no. 5, pp. 47-63, Sep./Oct. 1998.
[ 7 ] P. Mattavelli, "Synchronous-frame harmonic control for high-performance AC power supplies" IEEE Trans. on Ind. Appl., vol. 37, no. 3, 2001, pp, 864-872.
[ 8 ] H. Akagi, et al., Instantaneous power theory and applications to power conditioning, Wiley-IEEE, John Wiley 2007.
[ 9 ] E. J. Currence, J. E. Plizga and H. N. Nelson, “Harmonic resonance at a medium-sized industrial plant,” IEEE Trans. Ind. Appl., vol. 31, no. 3, May/Jun. 1995, pp. 682–690.
[ 10 ] S. Bhattacharya, T.M. Frank, D.M. Divan and B. Banerjee , “Active Filter System Implementation,” IEEE Industry Applications Magazine, Vol. 4, no. 5, Sep./Oct. 1998, pp. 47-63.
[ 11 ] H. Akagi, “Control strategy and site selection of a shunt active filter for damping of harmonic propagation in power distribution systems,” IEEE Trans. Power Del., vol. 12, no. 1, Jan. 1997, pp. 354–363.
[ 12 ] P. Jintakosonwit, H. Fujita and H. Akagi, “Control and performance of a fully-digital-controlled shunt active filter for installation on a power distribution system,” IEEE Trans. Power Electron., vol. 17, no. 1, Jan. 2002, pp. 132-140.
[ 13 ] S. Bhattacharya and D. Divan, “Active Filter Solutions For Utility Interface of Industrial Loads,” in Proceedings of the 1996 International conference on Power Electronics, Drives and Energy Systems for Industrial Growth, vol. 2, 1996, pp. 1078-1084.
[ 14 ] K. Wada, H. Fujita and H. Akagi, “Considerations of a shunt active filter based on voltage detection for installation on a long distribution feeder,” IEEE Trans. Ind. Appl., vol. 38, no. 4, Jul./Aug. 2002, pp. 1123-1130.
[ 15 ] L. Tarisciotti, A. Formentini, A. Gaeta, M. Degano, P. Zanchetta, R. Rabbeni and M. Pucci, "Model Predictive Control for Shunt Active Filters With Fixed Switching Frequency," IEEE Trans. Ind. Appl., vol. 53, no. 1, 2017, pp. 296-304.
[ 16 ] A. Bhattacharya, C. Chakraborty and S. Bhattacharya, "Shunt compensation," IEEE Industrial Electronics Magazine, vol. 3, no. 3, 2009, pp. 38-49.
[ 17 ] V. B. Bhavaraju and P. Enjeti, “A novel active line conditioner for a three-phase system,” in Conf. Rec. IEEE-IAS Annu. Meeting, 1993, pp. 979-985.
[ 18 ] A. Campos, G. Joos, P. D. Ziogas and J. F. Lindsay, “Analysis, design of a series voltage unbalance compensator based on a three-phase VSI operating with unbalanced switching functions,” IEEE Trans. Power Electron., vol. 9, May 1994, pp. 269-274.
[ 19 ] S. Bhattacharya and D. Divan, “Design and implementation of a hybrid series active filter system,” in IEEE 26th Annual Power Electronics Specialists Conference, 1995, pp. 189-195.
[ 20 ] J. Nastran, R. Cajhen, M. Seliger and P. Jereb, "Active power filter for nonlinear AC loads," IEEE Trans. Power Electron., vol. 9, Jan. 1994, pp. 92-96.
[ 21 ] H. Fujita, T. Yamasaki and H. Akagi, “A hybrid active filter for damping of harmonic resonance in industrial power systems,” IEEE Trans. Power Electron., vol. 15, no. 2, Mar. 2000, pp. 215-222.
[ 22 ] D. Detjen, J. Jacobs, R. W. De Doncker and H.-G. Mall, “A new hybrid filter to dampen resonances and compensation harmonic currents in industrial power systems with power factor correction equipment,” IEEE Trans. Power Electron., vol. 16, no. 6, Nov. 2001, pp. 821-827.
[ 23 ] D.h G. Nagotha and M. T. Shah, "Hybrid shunt active filter offering unity power factor and low THD at line side with reduced power rating," 2016 IEEE 1st International Conference on Power Electronics, Intelligent Control and Energy Systems (ICPEICES), 2016, pp. 1-6.
[ 24 ] R. Inzunza and H. Akagi, “A 6.6-kV transformerless shunt hybrid active filter for installation on a power distribution system,” IEEE Trans. Power Electron., vol. 20, no. 4, July 2005, pp. 893-900.
[ 25 ] A. Bonner, T. Grebe, E. Gunther, L. Hopkins, M.B. Man, J. Mahseredjian, N.W. Miller, T.H. Ortmeyer, V. Rajagopalan, S.J. Ranade, P.F. Ribeiro, B.R. Spherling, T.R. Sims and W. Xu, "Modeling and simulation of the propagation of harmonics in electric power networks. II. Sample systems and examples," IEEE Trans. Power Deliv., vol. 11, no. 1, Jan. 1996, pp. 466-474.
[ 26 ] S. M. Williams, G. T. Brownfield and J. W. Duffus, "Harmonic propagation on an electric distribution system: field measurements compared with computer simulation," IEEE Trans. Power Deliv., vol. 8, no. 2, Apr. 1993, pp. 547-552.
[ 27 ] S. Srianthumrong and H. Akagi, "A medium-voltage transformerless AC/DC power conversion system consisting of a diode rectifier and a shunt hybrid filter," IEEE Trans. Ind. Appl., vol. 39, no. 3, 2003, pp. 874-882.
[ 28 ] H. Akagi, S. Srianthumrong and Y. Tamai, "Comparisons in circuit configuration and filtering performance between hybrid and pure shunt active filters," 38th IAS Annual Meeting on Conference Record of the Industry Applications Conference, vol. 2, 2003, pp. 1195-1202.
[ 29 ] North American Electric Reliability Corporation, "Performance Standards Reference Guidelines," North American Electric Reliability Corporation, June 2010.
[ 30 ] Y. Xu, J. Yu, Y. Cao, J. Yu; Y. Gu, "State variable feedback predictive control design for single phase shunt active power filter," 2016 IEEE 8th IPEMC-ECCE Asia, 2016, pp. 2043-2046.
[ 31 ] P. Liengpradis, V. Kinnares, "Single-phase grid-connected PV system supplying nonlinear load with MPPT," 2015 18th ICEMS, 2015, pp. 1836-1839.
[ 32 ] M. Shahparasti, M. Mohamadian, A. Yazdian, A. A. Ahmad, M. Amini, "Derivation of a Stationary-Frame Single-Loop Controller for Three-Phase Standalone Inverter Supplying Nonlinear Loads," IEEE Trans. on Power Electron., 2014, vol. 29, no. 9, pp. 5063-5071.
[ 33 ] D. Bharat, P. Srivastava, "Removal of source current harmonics under Harmonically Balanced Condition using shunt hybrid active filters," 2016 IEEE 1st International Conference on Power Electronics, Intelligent Control and Energy Systems,2016, pp. 1-6.
[ 34 ] P. Dey, S. Mekhilef, "Current harmonics compensation with three-phase four-wire shunt hybrid active power filter based on modified D–Q theory," IET Power Electronics, 2015, vol.8, no. 11 , pp. 2265-2280.
[ 35 ] J. K. Chatterjee, S.r Subramanian, D. Bharat, S. Das, "Performance improvement in selective harmonic compensation of Shunt Hybrid Active Filter," 2011 International Conference on Power and Energy Systems, 2011, pp. 1-6.
[ 36 ] S. Rahmani, A. Hamadi, K. Al-Haddad "A Lyapunov-Function-Based Control for a Three-Phase Shunt Hybrid Active Filter," IEEE Trans. on Industrial Electron.,2012, vol. 59, no. 3, pp. 1418-1429.