|
|
|
| Multi-Time Scale Synchronous Rotating Frame Using Fourier Series for Harmonic Current Control |
| Ren Lei1, Jiang Qirong2 |
1. School of Electrical and Electronic Engineering Tianjin University of Technology Tianjin 300384 China;
2. Department of Electrical Engineering Tsinghua University Beijing 100084 China |
|
|
|
|
Abstract An active power filter (APF) can compensate harmonic currents with different orders. However, the compensating accuracy for different order harmonics varies largely based on one time scale controlling method. A novel zero steady-state error current control strategy for shunt active power filters (APF) is proposed based on Fourier series (FS) using multi-time scale synchronous rotating frame. Compared to general zero steady-state error control algorithm, such as proportional-resonant (PR) and vector PI (VPI) control, the proposed strategy weakens system frequency shift effect and enhances anti-interference ability. With a mathematical model, the open-loop and close-loop transfer functions of a control system are analysed in detail based on FS. Simulation and experimental results have verified the proposed current control strategy.
|
|
Received: 10 May 2017
Published: 01 August 2017
|
|
|
|
|
|
[1] Lascu C, Asiminoaei L, Boldea I, et al. High performance current controller for selective harmonic compensation in active power filters[J]. IEEE Transa- ctions on Power Electronics, 2007, 22(5): 1826-1835.
[2] Venturini R P, Mattavelli P, Zanchetta P, et al. Adaptive selective compensation for variable frequency active power filters in more electrical aircraft[J]. IEEE Transactions on Aerospace and Electronic Systems, 2012, 48(2): 1319-1328.
[3] 孙孝峰, 曾健, 李宁宁, 等. 并联型有源滤波器网侧谐波电流反馈控制[J]. 电工技术学报, 2012, 27(10): 150-154.
Sun Xiaofeng, Zeng Jian, Li Ningning, et al. Improvement for the closed-loop control of shunt active power filter based on feedback of supply-side current[J]. Transactions of China Electrotechnical Society, 2012, 27(10): 150-154.
[4] Shen G, Zhu X, Zhang J, et al. A new feedback method for PR current control of LCL-filter-based grid-connected inverter[J]. IEEE Transactions on Industrial Electronics, 2010, 57(6): 2033-2041.
[5] Zmood D N, Holmes D G. Stationary frame current regulation of PWM inverters with zero steady-state error[J]. IEEE Transactions on Power Electronics, 2003, 18(3): 814-822.
[6] Maza-Ortega J M, Rosendo-Macías J A, Gomez- Exposito A, et al. Reference current computation for active power filters by running DFT techniques[J]. IEEE Transactions on Power Delivery, 2010, 25(3): 1986-1995.
[7] Ortega J M M, Esteve M P, Payán M B, et al. Reference current computation methods for active power filters: Accuracy assessment in the frequency domain[J]. IEEE Transactions on Power Electronics, 2005, 20(2): 446-456.
[8] Petit J F, Robles G, Amaris H. Current reference control for shunt active power filters under nonsinu- soidal voltage conditions[J]. IEEE Transactions on Power Delivery, 2007, 22(4): 2254-2261.
[9] Green T C, Marks J H. Control techniques for active power filters[J]. IEE Proceedings-Electric Power Applications, 2005, 152(2): 369-381.
[10] Yepes A G, Freijedo F D, Doval-Gandoy J, et al. Effects of discretization methods on the performance of resonant controllers[J]. IEEE Transactions on Power Electronics, 2010, 25(7): 1692-1712.
[11] Yepes A G, Freijedo F D, Lopez Ó, et al. Analysis and design of resonant current controllers for voltage-source converters by means of Nyquist diagrams and sensitivity function[J]. IEEE Transa- ctions on Industrial Electronics, 2011, 58(11): 5231-5250.
[12] Holmes D G, Lipo T A, McGrath B P, et al. Optimized design of stationary frame three phase AC current regulators[J]. IEEE Transactions on Power Electronics, 2009, 24(11): 2417-2426.
[13] Yepes A G, Freijedo F D, López O, et al. High-performance digital resonant controllers implemented with two integrators[J]. IEEE Transa- ctions on Power Electronics, 2011, 26(2): 563-576.
[14] Trinh Q N, Lee H H. An advanced current control strategy for three-phase shunt active power filters[J]. IEEE Transactions on Industrial Electronics, 2013, 60(12): 5400-5410.
[15] Lascu C, Asiminoaei L, Boldea I, et al. Frequency response analysis of current controllers for selective harmonic compensation in active power filters[J]. IEEE Transactions on Industrial Electronics, 2009, 56(2): 337-347.
[16] Lee J, Kang D H, Jeong H G, et al. Active damping for large-scale wind power systems with an LCL- filter using an improved DFT[C]//IECON 2011-37th Annual Conference on IEEE Industrial Electronics Society, VIC, Australia, 2011, 7-10: 1179-1184.
[17] Liu J, Zanchetta P, Degano M, et al. Control design and implementation for high performance shunt active filters in aircraft power grids[J]. IEEE Transactions on Industrial Electronics, 2012, 59(9): 3604-3613.
[18] Garcia-Cerrada A, Pinzón-Ardila O, Feliu-Batlle V, et al. Application of a repetitive controller for a three-phase active power filter[J]. IEEE Transactions on Power Electronics, 2007, 22(1): 237-246.
[19] Dey P, Mekhilef S. Current harmonics compensation with three-phase four-wire shunt hybrid active power filter based on modified D-Q theory[J]. IET Power Electronics, 2015, 8(11): 2265-2280.
[20] Neves F A S, Arcanjo M A C, Azevedo G M S, et al. The SVFT-based control[J]. IEEE Transactions on Industrial Electronics, 2014, 61(8): 4152-4160.
[21] Freijedo F D, Doval-Gandoy J Ú, Lopez O, et al. A signal-processing adaptive algorithm for selective current harmonic cancellation in active power filters[J]. IEEE Transactions on Industrial Electronics, 2009, 56(8): 2829-2840.
[22] Yuan X, Merk W, Stemmler H, et al. Stationary- frame generalized integrators for current control of active power filters with zero steady-state error for current harmonics of concern under unbalanced and distorted operating conditions[J]. IEEE Transactions on Industry Applications, 2002, 38(2): 523-532.
[23] Guo X, Liu W, Zhang X, et al. Flexible control strategy for grid-connected inverter under unbalanced grid faults without PLL[J]. IEEE Transactions on Power Electronics, 2015, 30(4): 1773-1778.
[24] He J, Li Y W, Blaabjerg F, et al. Active harmonic filtering using current-controlled, grid-connected DG units with closed-loop power control[J]. IEEE Transactions on Power Electronics, 2014, 29(2): 642-653.
[25] 刘扬, 谭国俊. 基于改进型自适应锁相环的特定次谐波补偿算法在APF中的应用[J]. 电工技术学报, 2013, 28(5): 259-265.
Liu Yang, Tan Guojun. Specific harmonic compen- sation algorithm based on self-adaptive reinforced phase lock loop for APF[J]. Transactions of China Electrotechnical Society, 2013, 28(5): 259-265. |
|
|
|
2017, Vol. 32 
