水轮机调节系统非线性模型预测控制器设计

doi:10.12096/j.2096-4528.pgt.19097

摘要/Abstract

摘要：

基于麦克劳林展开公式，对水轮机调节系统（hydro-turbine governing system，HTGS）中的非线性项进行近似处理，引入Takagi-Sugeno（TS）模糊控制处理麦克劳林展开式中的非线性项，建立水轮机调节系统的TS模糊模型。基于TS模糊模型以及所定义的目标函数，设计了一种适用于水轮机调节系统的非线性模型预测控制器（nonlinear model predictive controller，NMPC）。考虑到水轮机调节系统的约束问题，引入二次规划（quadratic programming，QP），求解系统约束下的最优控制器输出。通过数值模拟评估所设计的基于二次规划的非线性模型预测控制器（quadratic programming-based nonlinear model predictive controller，QPNMPC）的性能，模拟结果表明：所设计的QPNMPC控制器能够有效地控制水轮机调节系统的输出功率，且相比于传统的PID控制器具有一定的优点。

关键词: 水轮机调节系统, Takagi-Sugeno模糊控制, 模型预测控制, 二次规划, 系统约束

Abstract:

The nonlinear terms of the hydro-turbine governing system (HTGS) were approximated based on Maclaurin series. Takagi-Sugeno (TS) fuzzy control was introduced to handle the nonlinear terms of the Maclaurin series, and TS models of the HTGS were developed resultantly. Based on the TS fuzzy models and the defined cost function, a nonlinear model predictive control (NMPC) strategy was designed for the HTGS. Considering the constraints of the HTGS, quadratic programming (QP) was utilized to solve the optimal controller output under the system constraints. Simulations were conducted to assess the performance of the designed QP-based NMPC (QPNMPC) controller. Simulation results reveal that the proposed QPNMPC controller can effectively regulate the output power of the HTGS and that compared with the conventional PID controller the advantages of the proposed QPNMPC controller are demonstrated.

Key words: hydro-turbine governing system, Takagi-Sugeno fuzzy control, model predictive control, quadratic programming, system constraint

中图分类号:

TK73

周文军. 水轮机调节系统非线性模型预测控制器设计[J]. 发电技术, 2020, 41(4): 407-414.

Wenjun ZHOU. Design of a Nonlinear Model Predictive Controller for a Hydro-turbine Governing System[J]. Power Generation Technology, 2020, 41(4): 407-414.

参考文献

1	Yi Y , Chen D , Li H , et al. Observer-based adaptive output feedback fault tolerant control for nonlinear hydro-turbine governing system with state delay[J] Asian Journal of Control, 2020, 22 (1): 192- 203.
2	周建中, 赵峰, 李超顺. 基于GSA的水轮机调速系统非线性PID控制参数优化方法研究[J]. 水电能源科学, 2014, 12, 127- 130.
2	Zhou J Z , Zhao F , Li C S . Nonlinear PID parameter optimization for hydraulic turbine governing system based on GSA[J] Water Resources and Power, 2014, 12, 127- 130.
3	Simani S , Alvisi S , Venturini M . Fault tolerant control of a simulated hydroelectric system[J] Control Engineering Practice, 2016, 51, 13- 25.
4	桂小阳, 梅生伟, 刘锋, 等. 水轮机调速系统的非线性自适应控制[J]. 中国电机工程学报, 2006, 26 (8): 66- 71.
4	Gui X Y , Mei S W , Liu F , et al. Adaptive nonlinear control for hydraulic turbine governor[J] Proceedings of the CSEE, 2006, 26 (8): 66- 71.
5	Wang B , Xue J , Wu F , et al. Robust Takagi-Sugeno fuzzy control for fractional order hydro-turbine governing system[J] ISA Transactions, 2016, 65, 72- 80.
6	寇攀高, 周建中, 张孝远, 等. 基于滑模变结构控制的水轮机调节系统[J]. 电网技术, 2012, 36 (8): 157- 162.
6	Kou P G , Zhou J Z , Zang X Y , et al. An improved hydro-turbine governing system model and design of sliding mode variable structure controller[J] Power System Technology, 2012, 36 (8): 157- 162.
7	Yuan X , Chen Z , Yuan Y , et al. Design of fuzzy sliding mode controller for hydraulic turbine regulating system via input state feedback linearization method[J] Energy, 2015, 93, 173- 187.
8	叶嘉俊, 魏焕政, 李牧星. 交直流混合微电网中双向AC/DC变换器模型预测控制策略[J]. 广东电力, 2017, (4): 147- 152.
8	Ye J J , Wei H Z , Li M X . Predictive control strategy for bidirectional AC/DC converter in AC/DC hybrid micri-grid[J] Guangdong Electric Power, 2017, (4): 147- 152.
9	段洁, 孙正龙, 张秀琦. 基于模型预测控制的互联电网阻尼控制[J]. 广东电力, 2016, 29 (6): 78- 81.
9	Duan J , Sun Z L , Zhang X Q . Damping control for interconnected power grid based on model predictive control[J] Guangdong Electric Power, 2016, 29 (6): 78- 81.
10	蔡纯, 潘凤萍. 1000 MW超超临界机组汽温多模型预测控制研究[J]. 广东电力, 2014, 27 (5): 7- 10.
10	Cai C , Pan F P . Study on multi-model prediction control on steam temperature of 1000 MW ultra-supercritical unit[J] Guangdong Electric Power, 2014, 27 (5): 7- 10.
11	Wang G , Wu J , Zeng B , et al. State-space model predictive control method for core power control in pressurized water reactor nuclear power stations[J] Nuclear Engineering & Technology, 2017, 49 (1): 134- 140.
12	Wang G , Wu J , Zeng B , et al. Design of a model predictive control method for load tracking in nuclear power plants[J] Progress in Nuclear Energy, 2017, 101, 260- 269.
13	Sindareh-Esfahani P , Tabatabaei S S , Pieper J K . Model predictive control of a heat recovery steam generator during cold start-up operation using piecewise linear models[J] Applied Thermal Engineering, 2017, 119, 516- 529.
14	Kujund?i? G , ?andor Ile? , Matu?ko J , et al. Optimal charging of valve-regulated lead-acid batteries based on model predictive control[J] Applied Energy, 2017, 187, 189- 202.
15	Lim T H , Shin Y , Kim S , et al. Predictive control of car refrigeration cycle with an electric compressor[J] Applied Thermal Engineering, 2017, 127, 1223- 1232.
16	王国旭, 吴婕, 曾碧凡, 等. 模型预测控制在压水堆堆芯功率控制中的应用[J]. 原子能科学技术, 2018, 51, 480- 484.
16	Wang G X , Wu J , Zeng B F , et al. Model predictive control method for core power control in pressurized water reactor[J] Atomic Energy Science and Technology, 2018, 51, 480- 484.
17	Klau?o M , Kvasnica M . Control of a Boiler-Turbine Unit Using MPC-based Reference Governors[J] Applied Thermal Engineering, 2017, 110, 1437- 1447.
18	王国旭, 吴婕, 陈志杰, 等. 压水堆负荷跟踪模型预测控制器设计[J]. 核动力工程, 2018, 39, 46- 49.
18	Wang G X , Wu J , Chen Z J , et al. Design of a model predictive controller for load tracking in pressurized water reactor[J] Nuclear Power Engineering, 2018, 39, 46- 49.
19	Assawinchaichote W , Nguang S K , Shi P , et al. H∞ fuzzy state-feedback control design for nonlinear systems with D-stability constraints:an LMI approach[J] Mathematics and computers in simulation, 2008, 78 (4): 514- 531.
20	Assawinchaichote W , Nguang S K . Fuzzy H∞ output feedback control design for singularly perturbed systems with pole placement constraints:an LMI approach[J] IEEE Transactions on Fuzzy Systems, 2006, 14 (3): 361- 371.
21	Nguang S K , Shi P . Fuzzy H∞ output feedback control of nonlinear systems under sampled measurements[J] Automatica, 2003, 39 (12): 2169- 2174.
22	Xu B , Chen D , Zhang H , et al. Modeling and stability analysis of a fractional-order Francis hydro-turbine governing system[J] Chaos Solitons & Fractals, 2015, 75, 50- 61.
23	Zhang R , Chen D , Ma X . Nonlinear predictive control of a hydropower system model[J] Entropy, 2015, 17 (12): 6129- 6149.
24	Wang G , Wu J , Zeng B , et al. A nonlinear adaptive sliding mode control strategy for modular high-temperature gas-cooled reactors[J] Progress in Nuclear Energy, 2019, 113, 53- 61.