Modular Multilevel Active Power Filter Error Feedback Model Predictive Control Strategy

LIU Chen, Lü Shixuan, LIU Zongpei, ZHENG Lijun

Electric Power Construction ›› 2024, Vol. 45 ›› Issue (3) : 107-115.

PDF(16063 KB)
PDF(16063 KB)
Electric Power Construction ›› 2024, Vol. 45 ›› Issue (3) : 107-115. DOI: 10.12204/j.issn.1000-7229.2024.03.010
Core Equipment of DC Power Grid?Hosted by Associate Professor SONG Qiang, Associate Professor YU Zhanqing and Associate Professor ZHAO Biao?

Modular Multilevel Active Power Filter Error Feedback Model Predictive Control Strategy

Author information +
History +

Abstract

The application of an active power filter (APF) at high voltage and large capacity requires the use of a modular multilevel converter structure (MMC). However, owing to the deviation of the system impedance and other parameters from the actual parameters, the predicted output value of the traditional model predictive control (MPC) loses its optimality, which ultimately affects the compensation effect of the MMC-APF. Therefore, this paper proposes an error feedback model predictive control strategy for MMC-APF. Combining the MPC and voltage sorting algorithms, the calculation amount of the switching state in each control period is reduced from C 2 N N times to N+1 times, and the evaluation functions of the output compensation harmonic control, circulating current suppression, and submodule capacity energy balance control are designed. Simultaneously, error feedback is introduced to correct the predicted value. The steady-state tracking error between the predicted and output values is reduced to improve the harmonic compensation effect of the current at the network side, as well as realize effective suppression of the circulation and capacitive energy balance of the submodules. The simulation results show that MMC-APF can reduce the current harmonic content from 27.6% to 0.2% using the proposed control strategy, proving the correctness and effectiveness of the proposed control strategy.

Key words

modular multilevel converter(MMC) / active power filter(APF) / error feedback / model predictive control(MPC)

Cite this article

Download Citations
Chen LIU , Shixuan LÜ , Zongpei LIU , et al. Modular Multilevel Active Power Filter Error Feedback Model Predictive Control Strategy[J]. Electric Power Construction. 2024, 45(3): 107-115 https://doi.org/10.12204/j.issn.1000-7229.2024.03.010

References

[1]
AKAGI H. New trends in active filters for power conditioning[J]. IEEE Transactions on Industry Applications, 1996, 32(6): 1312-1322.
[2]
PENG F Z. Application issues of active power filters[J]. IEEE Industry Applications Magazine, 1998, 4(5): 21-30.
[3]
徐岸非, 黄晴宇, 沈磊, 等. 局部电网三相不平衡畸变电流补偿方法[J]. 电网与清洁能源, 2022, 38(10): 17-27.
XU Anfei, HUANG Qingyu, SHEN Lei, et al. A three-phase unbalanced distortion current compensation method for local power grids[J]. Power System and Clean Energy, 2022, 38(10): 17-27.
[4]
姚绪梁, 麻宸伟, 王景芳, 等. 基于预测误差补偿的鲁棒型永磁同步电机模型预测电流控制[J]. 中国电机工程学报, 2021, 41(17): 6071-6080.
YAO Xuliang, MA Chenwei, WANG Jingfang, et al. Robust model predictive current control for PMSM based on prediction error compensation[J]. Proceedings of the CSEE, 2021, 41(17): 6071-6080.
[5]
夏向阳, 周云, 帅智康. 高压直流输电系统中模块化多电平换流器的重复预测控制[J]. 中国电机工程学报, 2015, 35(7): 1637-1643.
XIA Xiangyang, ZHOU Yun, SHUAI Zhikang. Repeat predictive control of modular multilevel converter in high voltage direct current system[J]. Proceedings of the CSEE, 2015, 35(7): 1637-1643.
[6]
钱金跃, 吴佳, 施文杰, 等. 基于SVPWM的NPC三电平逆变器简化MPC算法[J]. 浙江电力, 2022, 41(1): 80-88.
QIAN Jinyue, WU Jia, SHI Wenjie, et al. Simplified MPC algorithm of NPC three-level inverter based on SVPWM[J]. Zhejiang Electric Power, 2022, 41(1): 80-88.
[7]
谈竹奎, 徐玉韬, 袁旭峰, 等. 模块化有源电力滤波器谐波补偿[J]. 电力电子技术, 2019, 53(1): 129-130, 137.
TAN Zhukui, XU Yutao, YUAN Xufeng, et al. Harmonics compensation of modular active power filter[J]. Power Electronics, 2019, 53(1): 129-130, 137.
[8]
马永翔, 权学红, 闫群民, 等. 基于PI+QPR控制的单相有源电力滤波器研究[J]. 电测与仪表, 2023, 60(3): 165-171.
MA Yongxiang, QUAN Xuehong, YAN Qunmin, et al. Study on the single-phase active power filter based on PI+QPR control[J]. Electrical Measurement & Instrumentation, 2023, 60(3): 165-171.
[9]
赵宇明, 何新华, 孟亨, 等. 基于ELM优化PI+重复控制策略在APF中的应用研究[J]. 计算机应用与软件, 2021, 38(3): 46-50.
ZHAO Yuming, HE Xinhua, MENG Heng, et al. Application research on APF based on elm optimization PI+ repetitive control strategy[J]. Computer Applications and Software, 2021, 38(3): 46-50.
[10]
冯海博, 杨兴武, 刘海波, 等. 基于多变量校正的MMC快速有限集模型预测控制策略[J]. 电力系统保护与控制, 2023, 51(23): 26-36.
FENG Haibo, YANG Xingwu, LIU Haibo, et al. Finite control set model predictive control strategy for an MMC based on multi-variable fast adjusting[J]. Power System Protection and Control, 2023, 51(23): 26-36.
[11]
刘盛烺, 宋奇吼, 杨飏, 等. 基于MMC的有源滤波器无差拍控制[J]. 电力电容器与无功补偿, 2016, 37(3): 15-18, 23.
LIU Shenglang, SONG Qihou, YANG Yang, et al. Deadbeat control for active power filter based on modular multilevel converter[J]. Power Capacitor & Reactive Power Compensation, 2016, 37(3): 15-18, 23.
[12]
高鹏飞, 郑铭哲, 郭磊磊, 等. 基于滑模观测器的LCL型并网逆变器鲁棒预测控制研究[J]. 智慧电力, 2023, 51(1): 54-60, 93.
GAO Pengfei, ZHENG Mingzhe, GUO Leilei, et al. Robust predictive control of grid-connected inverter with LCL filter based on sliding mode observer[J]. Smart Power, 2023, 51(1): 54-60, 93.
[13]
立梓辰, 张延迟, 李硕, 等. 基于交流调功电路的有源滤波器PI-PR-重复前馈控制算法[J]. 电测与仪表, 2022, 59(2): 53-62.
LI Zichen, ZHANG Yanchi, LI Shuo, et al. The PI-PR-repeat feed-forward control algorithm of active power filter for AC power-regulating circuit[J]. Electrical Measurement & Instrumentation, 2022, 59(2): 53-62.
[14]
娄晓琪, 郑焕坤, 常鲜戎. 模块化多电平有源滤波器控制策略研究[J]. 电力电容器与无功补偿, 2017, 38(1): 35-39, 44.
LOU Xiaoqi, ZHENG Huankun, CHANG Xianrong. Control strategy study on MMC active power filter[J]. Power Capacitor & Reactive Power Compensation, 2017, 38(1): 35-39, 44.
[15]
马秀娟, 滕佳怡, 姚统. 基于环流抑制策略的MMC电容电压平衡控制[J]. 控制工程, 2019, 26(9): 1745-1750.
MA Xiujuan, TENG Jiayi, YAO Tong. Capacitor voltage balancing control of modular multilevel converter based on circulation current suppression strategy[J]. Control Engineering of China, 2019, 26(9): 1745-1750.
There are many advantages for modular multilevelconverter (MMC), such as modular structure, scalability and reduced harmonics,which makes it <a name="OLE_LINK1"></a>become a potential converter technologyfor high voltage direct current (HVDC) transmission system. The basic topology structureand working principle are introduced, capacitor voltage fluctuation andcirculation current are analyzed, and point out the necessity of controlling.Capacitor voltage balancing control based on circulation current suppressionstrategy are applied to keep voltage stability of <a name="OLE_LINK11"></a>sub-module(SM) capacitor and suppress circulation current. Circulation current suppressioncontroller based on low pass filter and quasi-proportional resonant controlleris designed and added to additional capacitor voltage balancing controlstrategy. The effectiveness and <a href="http://www.so.com/link?url=http%3A%2F%2Fdict.youdao.com%2Fsearch%3Fq%3Dfeasibility%26keyfrom%3Dhao360&amp;q=%E5%8F%AF%E8%A1%8C%E6%80%A7%E8%8B%B1%E6%96%87%E6%80%8E%E4%B9%88%E8%AF%B4&amp;ts=1501127647&amp;t=9757149849292ac8de66ad496321811" target="_blank">feasibility</a> of the proposedmethod is proved by Matlab/Simulink, the simulation results show that the fluctuation of capacitorvoltages as well as the circulating current can be confined into acceptable<b> </b>range.
[16]
孙悦, 曾国辉, 黄勃. 基于混合调制的模块化多电平换流器环流抑制策略[J]. 电子科技, 2021, 34(10): 45-50.
SUN Yue, ZENG Guohui, HUANG Bo. Circulation suppression strategy of MMC based on hybrid modulation[J]. Electronic Science and Technology, 2021, 34(10): 45-50.
[17]
班明飞, 申科, 王建赜, 等. 基于准比例谐振控制的MMC新型环流抑制器[J]. 电力系统自动化, 2014, 38(11): 85-89, 129.
BAN Mingfei, SHEN Ke, WANG Jianze, et al. A novel circulating current suppressor for modular multilevel converters based on quasi-proportional-resonant control[J]. Automation of Electric Power Systems, 2014, 38(11): 85-89, 129.
[18]
李宇, 程远, 卫晓辉, 等. 基于准比例谐振控制器的MMC环流抑制策略[J]. 西安工程大学学报, 2020, 34(3): 41-47.
LI Yu, CHENG Yuan, WEI Xiaohui, et al. Modular multilevel converter circulation suppression strategy based on quasi-proportional resonance controller[J]. Journal of Xi’an Polytechnic University, 2020, 34(3): 41-47.
[19]
LIN H C, WANG Z X. Hybrid proportional-integral model predictive control strategy of modular multilevel converter[C]// 2017 IEEE 7th International Conference on Power and Energy Systems (ICPES). IEEE, 2017: 52-56.
[20]
苑宾, 许建中, 赵成勇, 等. 模块化多电平换流器PR环流抑制器优化设计[J]. 中国电机工程学报, 2015, 35(10): 2567-2575.
YUAN Bin, XU Jianzhong, ZHAO Chengyong, et al. Optimal design of PR circulating current suppressing controllers for modular multilevel converters[J]. Proceedings of the CSEE, 2015, 35(10): 2567-2575.
[21]
赵伟, 袁至, 王维庆, 等. 基于附加电平MPC的MMC环流抑制与子模块双重均压控制[J]. 智慧电力, 2022, 50(3): 57-64.
ZHAO Wei, YUAN Zhi, WANG Weiqing, et al. MMC circulating current suppression based on additional level MPC and sub-module dual voltage balancing control[J]. Smart Power, 2022, 50(3): 57-64.
[22]
王贵峰, 高煦杰, 武泽文, 等. 一种基于无差拍外环控制的串联型APF有限集模型预测控制策略研究[J]. 电网与清洁能源, 2022, 38(12): 15-23, 32.
WANG Guifeng, GAO Xujie, WU Zewen, et al. Research on a finite control set model predictive control strategy for series APF based on deadbeat outer loop control[J]. Power System and Clean Energy, 2022, 38(12): 15-23, 32.
[23]
蒋谦, 黄志豪, 程启明, 等. 基于MMC的PET中间隔离级DC-DC变换器的新型模型预测控制策略[J]. 电力建设, 2022, 43(4): 49-57.
Abstract
针对三级式电力电子变压器(power electronic transformer,PET)中间隔离级DC-DC变换器双侧的模块化多电平换流器(modular multilevel converter,MMC)控制存在的问题,提出了基于价值函数独立的模型预测控制(model predictive control,MPC)的MMC控制方法,对多个控制目标分别建立独立的价值函数,无须配置MPC中价值函数的权重,解决了价值函数的权重配置难问题,且减小了MPC的计算量。另外,针对现有的三级式PET中间隔离级的DC-DC变流器可靠性低、灵活度差、适应范围较小等问题,设计了基于MMC的PET中间隔离级DC-DC变换器拓扑,通过采用双高频变压器的结构,提高了供电的灵活性,实现了PET不间断供电能力。最后搭建系统模型平台,并通过实验验证了所提控制策略的正确性和有效性。
JIANG Qian, HUANG Zhihao, CHENG Qiming, et al. Novel model predictive control strategy for MMC-based DC-DC converter in the intermediate isolation stage of PET[J]. Electric Power Construction, 2022, 43(4): 49-57.
Aim

ing at the problems existing in the control of modular multilevel converters (MMC) on both sides of DC-DC converter in the intermediate isolation stage of three-stage power electronic transformer (PET), a control method of model predictive control (MPC) based on independent value function is proposed, which establishes independent value functions for multiple control objectives without configuring the weight of value function in MPC. The method solves the difficult problem of weight allocation of value function in traditional MPC, and reduces the amount of calculation of MPC controller. In addition, aiming at the problems of low reliability, poor flexibility and small adaptability of the existing three-stage DC-DC converter in the intermediate isolation stage of PET, the topology of DC-DC converter based on MMC in the intermediate isolation stage of PET is designed in this paper. The design improves the flexibility of power supply and realizes the uninterrupted power supply ability of PET by adopting the structural design of double high-frequency transformer. Finally, the system model platform is built, and the correctness and effectiveness of the proposed control strategy are verified by experiments.

[24]
MOON J W, GWON J S, PARK J W, et al. Model predictive control with a reduced number of considered states in a modular multilevel converter for HVDC system[J]. IEEE Transactions on Power Delivery, 2015, 30(2): 608-617.
[25]
王杉, 谢利理, 王海宇. MMC-HVDC简化有限集快速模型预测控制研究[J]. 电工电能新技术, 2019, 38(6): 16-26.
Abstract
针对应用于模块化多电平换流器的直流输电系统的传统模型预测控制策略存在运算量庞大,配置目标函数加权因子的随机性问题,在分析MMC离散数学模型的基础上,以控制系统输出的最优电压电平组合为目标,提出无加权因子的简化有限集的快速模型预测控制策略,运算量大幅度减小,对平衡子模块电容电压、降低交流侧电流波动和抑制循环电流有显著效果。最后,通过Matlab/Simulink平台搭建仿真模型,并基于iHawk实时多处理器环境以及SWB实时仿真平台,进行11电平样机实验,实验结果表明该控制策略的有效性和可行性。
WANG Shan, XIE Lili, WANG Haiyu. Study of control strategy for MMC-HVDC system based on simplified finite set fast model predictive control[J]. Advanced Technology of Electrical Engineering and Energy, 2019, 38(6): 16-26.
The traditional model predictive control strategy for the MMC-HVDC system applied to the modular multilevel converter has the problems of huge computational complexity, randomness of the weighting factor of the configuration target function, etc. Based on the analysis of the discrete mathematical model of the MMC-HVDC,the optimal voltage level combination output by the control system is targeted and a fast model predictive control strategy without weighting factors that simplifies the finite set is proposed.The computational complexity is greatly reduced, furthermore, it has significant effect on balancing sub-module capacitance voltage, reducing ac-side current fluctuation and suppressing circulating current. Finally,a simulation model is built on Matlab/Simulink platform. The simulation results show the effectiveness and feasibility of the control strategy.
[26]
聂雄, 彭坤, 邱强杰. 基于MMC的优化模型预测控制研究[J]. 电力电子技术, 2018, 52(4): 14-16.
NIE Xiong, PENG Kun, QIU Qiangjie. Research on optimal model predictive control of MMC[J]. Power Electronics, 2018, 52(4): 14-16.
[27]
曹穆, 王跃, 刘普, 等. 基于模块化多电平换流器的STATCOM模型预测控制策略[J]. 电气传动, 2013, 43(S1): 52-56.
CAO Mu, WANG Yue, LIU Pu, et al. Model predictive control of modular multilevel converter-based STATCOMs[J]. Electric Drive, 2013, 43(S1): 52-56.
[28]
温饱, 胡存刚, 芮涛, 等. 三相并网逆变器状态反馈模型预测控制策略[J]. 电力电子技术, 2018, 52(6): 24-27, 42.
WEN Bao, HU Cungang, RUI Tao, et al. Model predictive control with state feedback of three-phase grid-connected inverter[J]. Power Electronics, 2018, 52(6): 24-27, 42.
[29]
朱经纬, 付文轩. 模块化多电平变换器的OMPC策略研究[J]. 电力电子技术, 2017, 51(1): 15-17, 32.
ZHU Jingwei, FU Wenxuan. Research on the optimal model predictive control strategy for modular multilevel converter[J]. Power Electronics, 2017, 51(1): 15-17, 32.
[30]
刘普, 王跃, 丛武龙, 等. 模块化多电平换流器优化模型预测控制策略研究[J]. 中国电机工程学报, 2014, 34(36): 6380-6388.
LIU Pu, WANG Yue, CONG Wulong, et al. Researches on optimized model predictive control for modular multilevel converters[J]. Proceedings of the CSEE, 2014, 34(36): 6380-6388.
[31]
马文忠, 王晓康, 赵雨, 等. 适用于多端口模块化多电平交直流变换器的分段变步长模型预测控制策略[J]. 电力系统保护与控制, 2023, 51(8): 13-25.
MA Wenzhong, WANG Xiaokang, ZHAO Yu, et al. Piecewise variable step-size model predictive control strategy for multi-port modular multilevel AC/DC converter[J]. Power System Protection and Control, 2023, 51(8): 13-25.
[32]
林环城, 王志新. 基于模型预测控制的模块化多电平变流器桥臂能量控制策略[J]. 电力自动化设备, 2018, 38(4): 44-51.
LIN Huancheng, WANG Zhixin. Arm energy control strategy of modular multilevel converter based on model predictive control[J]. Electric Power Automation Equipment, 2018, 38(4): 44-51.
[33]
CORTES P, KOURO S, LA ROCCA B, et al. Guidelines for weighting factors design in model predictive control of power converters and drives[C]// 2009 IEEE International Conference on Industrial Technology. IEEE, 2009.
[34]
HUANG J J, YANG B, GUO F H, et al. Priority sorting approach for modular multilevel converter based on simplified model predictive control[J]. IEEE Transactions on Industrial Electronics, 2018, 65(6): 4819-4830.
[35]
张莉, 熊永圣, 王连强, 等. 低频工况下MMC模型预测控制策略[J]. 中国电机工程学报, 2023, 43(4): 1547-1555.
ZHANG Li, XIONG Yongsheng, WANG Lianqiang, et al. Model predictive control strategy for MMC under low frequency[J]. Proceedings of the CSEE, 2023, 43(4): 1547-1555.

Funding

Shanxi Provincial Natural Science Foundation Project(201901D111076)
PDF(16063 KB)

Accesses

Citation

Detail

Sections
Recommended

/