Abstract:Driven by the large-scale adoption of electronic power converters for widespread renewable generation, power grids gradually present weak grid characteristics, i.e., the grid impedance can’t be ignored and fluctuates frequently. The grid impedance directly affects the control loop gain of inverters, which can decrease the stability margin and lead to poor dynamic performance. To solve these issues jointly, an adaptive control strategy based on loop gain measurement technique is proposed in this work to improve the adaptability of inverters to pre-unknown weak grid conditions. The proposed adaptive control strategy includes two important steps: (1) The monitoring of control performance indexes and (2) Auto-tuning of controller parameters. Firstly, a control performance monitor is proposed for online monitoring of control performance indexes (crossover frequency fc, phase margin φM) of inverter systems. These indexes can be used to characterize, in real time, the dynamic performance and stability, respectively. The proposed control performance monitor is designed based on Middlebrook’s loop gain measurement technique with small signal injection. The corresponding signal extraction structure is realized by a high-pass second order generalized integrator (HPSOGI), which can enhance the attenuation ability of low-frequency harmonics. With the measured performance indexes (fc, φM), an auto-tuner is then designed to adjust controller parameters of inverters accordingly. The sensitivity analysis method is adopted to decouple the controller parameters (Kp, Kr) and control performance indexes (fc, φM). A general adaptive law is therefore designed as following: the crossover frequency fc is designed to adjust the proportional gain Kp until the desired crossover frequency $f_{\text{c}}^{\text{REF}}$ is achieved; the phase margin φM is designed to adjust the resonance gain Kr until the desired phase margin $\varphi _{\text{M}}^{\text{REF}}$ is achieved. In this way, high dynamic performance and sufficient stability margin can be guaranteed simultaneously by the proposed auto-tuner. Additionally, the relevant parameters selection and design of regulators are discussed. The experimental results show that the monitoring process can be completed within 60ms with an accuracy of 96%, which is sufficient for the subsequent auto-tuning process. Both the measurement time and the accuracy can be further improved by refining the auto-tuner coefficients. With the proposed adaptive control strategy, the crossover frequency and phase margin can be maintained at expected value (fc=1 kHz, φM=45°) under grid impedance variations and low-voltage ride through conditions. With the increased loop gain, total harmonic distortion (THD) of the injected grid current is also decreased. The following conclusions are drawn from this paper: (1) The HPSOGI structure adopted in control performance monitor can improve accuracy and speed of the monitoring process. (2) Sensitivity analysis method can be used to design adaptive law to improve the adaptability of adaptive control strategy to various regulators such as PI and PR regulator. (3) The proposed adaptive control strategy can maintain high dynamic performance and sufficient stability margin of inverter system under grid impedance variation and fault conditions such as low-voltage ride through.
曾祥辰, 刘青, 王嘉晨, 辛振. 弱电网下并网逆变器恒定带宽及稳定裕度的自适应控制策略[J]. 电工技术学报, 2024, 39(9): 2682-2695.
Zeng Xiangchen, Liu Qing, Wang Jiachen, Xin Zhen. Adaptive Control Strategy of Grid-Connected Inverters with Constant Bandwidth and Stability Margin in Weak Grids. Transactions of China Electrotechnical Society, 2024, 39(9): 2682-2695.
[1] Blaabjerg F, Teodorescu R, Liserre M, et al.Overview of control and grid synchronization for distributed power generation systems[J]. IEEE Transactions on Industrial Electronics, 2006, 53(5): 1398-1409. [2] 沈姝衡, 方天治, 章益凡. 高带宽数字控制LCL型并网逆变器及其提高并网系统鲁棒性的谐振抑制技术研究[J]. 电工技术学报, 2022, 37(21): 5548-5561. Shen Shuheng, Fang Tianzhi, Zhang Yifan.A high-bandwidth digital-control LCL-type grid-tied inverter and resonance-suppressing technique for improving the robustness of grid-connected system[J]. Transactions of China Electrotechnical Society, 2022, 37(21): 5548-5561. [3] 涂春鸣, 邹凯星, 高家元, 等. 基于不对称正负反馈效应的PQ功率控制并网逆变器稳定性分析[J]. 电工技术学报, 2023, 38(2): 496-509. Tu Chunming, Zou Kaixing, Gao Jiayuan, et al.Stability analysis of grid-connected inverter under PQ power control based on asymmetric positive-negative-feedback effects[J]. Transactions of China Electrotechnical Society, 2023, 38(2): 496-509. [4] 洪芦诚, 徐佳裕, 唐润悦, 等. 三相LCL型逆变器序阻抗简化建模方法及并网稳定性分析[J]. 电力系统自动化, 2023, 47(7): 150-157. Hong Lucheng, Xu Jiayu, Tang Runyue, et al.Simplified modeling method of sequence impedance and grid-connected stability analysis for three-phase LCL inverter[J]. Automation of Electric Power Systems, 2023, 47(7): 150-157. [5] 高本锋, 邓鹏程, 梁纪峰, 等. 光伏电站与弱交流电网间次同步交互作用路径及阻尼特性分析[J]. 电工技术学报, 2023, 38(24): 6679-6694. Gao Benfeng, Deng Pengcheng, Liang Jifeng, et al.Analysis of path and damping characteristics of subsynchronous interaction between photovoltaic plant and weak AC grid[J]. Transactions of China Electrotechnical Society, 2023, 38(24): 6679-6694. [6] Yang Dongsheng, Ruan Xinbo, Wu Heng.Impedance shaping of the grid-connected inverter with LCL filter to improve its adaptability to the weak grid condition[J]. IEEE Transactions on Power Electronics, 2014, 29(11): 5795-5805. [7] 刘欣, 郭志博, 贾焦心, 等. 基于序阻抗的虚拟同步发电机并网稳定性分析及虚拟阻抗设计[J]. 电工技术学报, 2023, 38(15): 4130-4146. Liu Xin, Guo Zhibo, Jia Jiaoxin, et al.Stability analysis and virtual impedance design of virtual synchronous machine based on sequence impedance[J]. Transactions of China Electrotechnical Society, 2023, 38(15): 4130-4146. [8] 涂春鸣, 高家元, 赵晋斌, 等. 弱电网下具有定稳定裕度的并网逆变器阻抗重塑分析与设计[J]. 电工技术学报, 2020, 35(6): 1327-1335. Tu Chunming, Gao Jiayuan, Zhao Jinbin, et al.Analysis and design of grid-connected inverter impedance remodeling with fixed stability margin in weak grid[J]. Transactions of China Electrotechnical Society, 2020, 35(6): 1327-1335. [9] 曾君, 岑德海, 陈润, 等. 针对直流偏移和谐波干扰的单相锁相环[J]. 电工技术学报, 2021, 36(16): 3504-3515. Zeng Jun, Cen Dehai, Chen Run, et al.Single-phase phase-locked loop for DC offset and harmonic interference[J]. Transactions of China Electrotechnical Society, 2021, 36(16): 3504-3515. [10] 闫培雷, 葛兴来, 王惠民, 等. 弱电网下新能源并网逆变器锁相环参数优化设计方法[J]. 电网技术, 2022, 46(6): 2210-2221. Yan Peilei, Ge Xinglai, Wang Huimin, et al.PLL parameter optimization design for renewable energy grid-connected inverters in weak grid[J]. Power System Technology, 2022, 46(6): 2210-2221. [11] 姜云龙, 司鑫尧, 史鸿飞, 等. 弱电网下计及锁相环影响的并网逆变器稳定性提升方法[J]. 电力系统自动化, 2022, 46(24): 113-120. Jiang Yunlong, Si Xinyao, Shi Hongfei, et al.Stability improvement method of grid-connected inverter considering phase-locked loop effect in weak grid[J]. Automation of Electric Power Systems, 2022, 46(24): 113-120. [12] Pan Donghua, Ruan Xinbo, Bao Chenlei, et al.Capacitor-current-feedback active damping with reduced computation delay for improving robustness of LCL-type grid-connected inverter[J]. IEEE Trans-actions on Power Electronics, 2014, 29(7): 3414-3427. [13] Wang Cheng, Wang Xuehua, He Yuying, et al.Passivity-oriented impedance shaping for LCL-filtered grid-connected inverters[J]. IEEE Transactions on Industrial Electronics, 2023, 70(9): 9078-9090. [14] Cespedes M, Sun Jian.Adaptive control of grid-connected inverters based on online grid impedance measurements[J]. IEEE Transactions on Sustainable Energy, 2014, 5(2): 516-523. [15] 许津铭, 谢少军, 唐婷. 弱电网下LCL滤波并网逆变器自适应电流控制[J]. 中国电机工程学报, 2014, 34(24): 4031-4039. Xu Jinming, Xie Shaojun, Tang Ting.An adaptive current control for grid-connected LCL-filtered inverters in weak grid case[J]. Proceedings of the CSEE, 2014, 34(24): 4031-4039. [16] Xu Jinming, Xie Shaojun, Tang Ting.Improved control strategy with grid-voltage feedforward for LCL-filter-based inverter connected to weak grid[J]. IET Power Electronics, 2014, 7(10): 2660-2671. [17] Xu Jinming, Xie Shaojun, Qian Qiang, et al.Adaptive feedforward algorithm without grid impedance estimation for inverters to suppress grid current instabilities and harmonics due to grid impedance and grid voltage distortion[J]. IEEE Transactions on Industrial Electronics, 2017, 64(9): 7574-7586. [18] Zhou Xiaohu, Fan Jiwei, Huang A Q.High-frequency resonance mitigation for plug-in hybrid electric vehicles’ integration with a wide range of grid conditions[J]. IEEE Transactions on Power Electronics, 2012, 27(11): 4459-4471. [19] Li Hong, Ding Xin, Xue Ruinan, et al.Active damping adaptive controller for grid-connected inverter under weak grid[J]. IEEE Access, 2021, 9: 132442-132454. [20] 陈新, 王赟程, 华淼杰, 等. 采用混合阻尼自适应调整的并网逆变器控制方法[J]. 中国电机工程学报, 2016, 36(3): 765-774. Chen Xin, Wang Yuncheng, Hua Miaojie, et al.Grid-connected inverters control schemes based on hybrid damping adaptive control[J]. Proceedings of the CSEE, 2016, 36(3): 765-774. [21] Morroni J, Corradini L, Zane R, et al.Adaptive tuning of switched-mode power supplies operating in discontinuous and continuous conduction modes[J]. IEEE Transactions on Power Electronics, 2009, 24(11): 2603-2611. [22] Morroni J, Zane R, Maksimovic D.Design and implementation of an adaptive tuning system based on desired phase margin for digitally controlled DC-DC converters[J]. IEEE Transactions on Power Electronics, 2009, 24(2): 559-564. [23] Khodamoradi A, Liu Guangyuan, Mattavelli P.Online controller tuning for DC microgrid power converters with the ability to track maximum allowable bandwidth[J]. IEEE Transactions on Industrial Electronics, 2022, 69(2): 1888-1897. [24] Liu Qing, Caldognetto T, Buso S.Stability analysis and auto-tuning of interlinking converters connected to weak grids[J]. IEEE Transactions on Power Electronics, 2019, 34(10): 9435-9446. [25] Buso S, Caldognetto T, Liu Qing.Analysis and experimental characterization of a large-bandwidth triple-loop controller for grid-tied inverters[J]. IEEE Transactions on Power Electronics, 2019, 34(2): 1936-1949. [26] Teodorescu R, Blaabjerg F, Borup U, et al.A new control structure for grid-connected LCL PV inverters with zero steady-state error and selective harmonic compensation[C]//Nineteenth Annual IEEE Applied Power Electronics Conference and Exposition, Anaheim, CA, USA, 2004: 580-586. [27] 游小杰, 杨才伟, 王剑, 等. 一种适用于机车PWM整流器的比例积分-谐振电流控制器设计[J]. 电工技术学报, 2021, 36(23): 4926-4936. You Xiaojie, Yang Caiwei, Wang Jian, et al.A tuning method for proportional integral-resonant current controller in locomotive PWM rectifiers[J]. Transactions of China Electrotechnical Society, 2021, 36(23): 4926-4936. [28] 鲍陈磊, 阮新波, 王学华, 等. 基于PI调节器和电容电流反馈有源阻尼的LCL型并网逆变器闭环参数设计[J]. 中国电机工程学报, 2012, 32(25): 19, 133-142. Bao Chenlei, Ruan Xinbo, Wang Xuehua, et al. Design of grid-connected inverters with LCL filter based on PI regulator and capacitor current feedback active damping[J]. Proceedings of the CSEE, 2012, 32(25): 19, 133-142. [29] Basso C P.Designing Control Loops For Linear and Switching Power Supplies: A Tutorial Guide[M]. Norwood: Artech House, 2012. [30] Middlebrook R D.Measurement of loop gain in feedback systems[J]. International Journal of Electronics, 1975, 38(4): 485-512. [31] Wang Jiachen, Liu Qing, Zeng Xiangchen, et al.Control performance characterization and monitoring scheme for power converters in weak grids[J]. IEEE Open Journal of Power Electronics, 2023, 4: 791-800. [32] Nian Heng, Li Meng, Hu Bin, et al.Design method of multisine signal for broadband impedance measurement[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2022, 10(3): 2737-2747. [33] Rodríguez P, Luna A, Muñoz-Aguilar R S, et al. A stationary reference frame grid synchronization system for three-phase grid-connected power converters under adverse grid conditions[J]. IEEE Transactions on Power Electronics, 2012, 27(1): 99-112.