变论域自适应模糊非线性控制在蒸汽发生器液位控制中的应用

doi:10.16183/j.cnki.jsjtu.2021.235

摘要/Abstract

摘要：

针对蒸汽发生器液位控制系统在压水堆核电站中维护电厂安全和高效运行的重要地位,而蒸汽发生器液位被控对象在不同负荷段及变动工况下呈现出的非线性特性,提出一种具有变论域自适应功能的模糊控制算法,在一般模糊控制算法基础上,通过非线性系统模型构造Lyapunov函数,基于理想控制律求解最优自适应伸缩因子,并利用Lyapunov定理证明了该控制系统的稳定性.仿真结果表明,相较于传统比例-积分(PI)控制与模糊PI控制,具有变论域自适应功能的模糊控制能够更好地对不同工况段和变工况下蒸汽发生器的液位进行有效控制,解决了控制器超限的问题,且系统具有更好的鲁棒性.

关键词: 蒸汽发生器, 液位控制, 变论域算法, 模糊控制

Abstract:

Aimed at the important position of the steam generator liquid level control system in maintaining the safe and efficient operation of the power plant in the PWR nuclear power plant, and the fact that there exist strong nonlinear characteristics in the controlled object of the steam generator liquid level under different load sections and changing conditions, this paper proposes a fuzzy control algorithm with the adaptive variable universe function. Based on the general fuzzy control algorithm, the Lyapunov function is constructed through the nonlinear system model, and the optimal adaptive expansion factor is solved based on the ideal control law, and Lyapunov theorem is used to prove the stability of the control system. The simulation results show that the fuzzy control with adaptive variable universe function can better effectively control the liquid level of the steam generator under different working conditions and variable working conditions than the traditional proportional integral (PI) control and fuzzy PI control. The problem of controller overrun is solved, and the system has a better robustness.

Key words: steam generator, level control, variable universe algorithm, fuzzy control

中图分类号:

钱虹, 邹明耀. 变论域自适应模糊非线性控制在蒸汽发生器液位控制中的应用[J]. 上海交通大学学报, 2023, 57(1): 116-126.

QIAN Hong, ZOU Mingyao. Application of Adaptive Fuzzy Nonlinear Control with Variable Universe in Liquid Level Control of Steam Generator[J]. Journal of Shanghai Jiao Tong University, 2023, 57(1): 116-126.

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参考文献 19

[1]	XUE Y, FENG J, YANG X Y. Steam generator water level SMC-ADRC cascade control based on improved power reaching law[C]//IEEE International Conference on System Science & Engineering. Shanghai, China: IEEE, 2014: 114-118.
[2]	WEN T. Water level control for a nuclear steam generator[J]. Nuclear Engineering and Design, 2011, 241(5): 1873-1880. doi: 10.1016/j.nucengdes.2010.12.010 URL
[3]	ZHE D, HUANG X J, FENG J T. Water-level control for the U-tube steam generator of nuclear power plants based on output feedback dissipation[J]. IEEE Transactions on Nuclear Science, 2009, 56(3): 1600-1612. doi: 10.1109/TNS.2009.2019593 URL
[4]	SALEHI A, SAFARZADEH O, KAZEMI M H. Fractional order PID control of steam generator water level for nuclear steam supply systems[J]. Nuclear Engineering and Design, 2019, 342: 45-59. doi: 10.1016/j.nucengdes.2018.11.040 URL
[5]	钱虹, 叶建华, 钱非, 等. 蒸汽发生器水位全程控制系统数字化及仿真实现[J]. 核动力工程, 2010, 31(2): 58-62.
	QIAN Hong, YE Jianhua, QIAN Fei, et al. Digitization and simulation realization of full range control system for steam generator water level[J]. Nuclear Power Engineering, 2010, 31(2): 58-62.
[6]	乔静, 杨平. 压水堆核电站蒸汽发生器水位的MCP-PID控制[J]. 核科学与工程, 2018, 38(3): 367-374.
	QIAO Jing, YANG Ping. MCP-PID control of PWR steam generator water level[J]. Nuclear Science and Engineering, 2018, 38(3): 367-374.
[7]	LE W, FANG F, YANG S. Adaptive backstepping-based composite nonlinear feedback water level control for the nuclear U-tube steam generator[J]. IEEE Transactions on Control Systems Technology, 2014, 22(1): 369-377. doi: 10.1109/TCST.2013.2250504 URL
[8]	ANSARIFAR G R, TALEBI H A, DAVILU H. Adaptive estimator-based dynamic sliding mode control for the water level of nuclear steam generators[J]. Progress in Nuclear Energy, 2012, 56: 61-70. doi: 10.1016/j.pnucene.2011.12.008 URL
[9]	姜頔, 刘向杰, 孔小兵. 核电站蒸汽发生器水位的软约束预测控制[J]. 自动化学报, 2019, 45(6): 1111-1121.
	JIANG Di, LIU Xiangjie, KONG Xiaobing. Soft constrained MPC on water level control in steam generator of a nuclear power plant[J]. IEEE/CAA Journal of Automatica Sinica, 2019, 45(6): 1111-1121.
[10]	黄伟, 杨爽爽. 基于GMFAC的核电厂蒸汽发生器水位优化控制[J]. 核动力工程, 2017, 38(6): 81-86.
	HUANG Wei, YANG Shuangshuang. Optimal control of nuclear power plant steam generator based on GMFAC[J]. Nuclear Power Engineering, 2017, 38(6): 81-86.
[11]	ELIASI H, DAVILU H, MENHAJ M B. Adaptive fuzzy model based predictive control of nuclear steam generators[J]. Nuclear Engineering and Design, 2007, 237(6): 668-676. doi: 10.1016/j.nucengdes.2006.08.007 URL
[12]	AGARWAL J, VIDYARTHI A, PARMAR G. Comparative analysis of fuzzy and LQR for water level control of U-tube steam generator[C]//2015 Communication, Control and Intelligent Systems. Mathura, India: IEEE, 2015: 324-329.
[13]	程启明, 吴凯, 白园飞, 等. 核电站蒸汽发生器水位的模糊GPC控制系统研究[J]. 电机与控制学报, 2012, 16(7): 83-89.
	CHENG Qiming, WU Kai, BAI Yuanfei, et al. Research on fuzzy GPC control system for water level of steam generator at nuclear power plant[J]. Electric Machines and Control, 2012, 16(7): 83-89.
[14]	WANG X S, LIU C Y, SONG Z Y, et al. Improved variable universe fuzzy PID application in beer fermentation process[C]//International Conference on Machine Learning & Cybernetics. Guangzhou,China: IEEE, 2015: 40-46.
[15]	GAO M Q, HE S H. Self-adapting fuzzy PID control of variable universe in the nonlinear system[C]//Intelligent Computation Technology and Automation. Changsha, China: IEEE, 2008: 473-478.
[16]	柳江, 林晨, 叶明, 等. 馈能悬架变论域模糊控制[J]. 上海交通大学学报, 2016, 50(8): 1139-1143.
	LIU Jiang, LIN Chen, YE Ming, et al. Variable universe fuzzy control of energy regenerative suspension.[J]. Journal of Shanghai Jiao Tong university, 2016, 50(8): 1139-1143.
[17]	ANNAMRAJU A, NANDIRAJU S. Robust frequency control in a renewable penetrated power system: An adaptive fractional order-fuzzy approach[J]. Protection and Control of Modern Power Systems, 2019, 4(1): 1-15. doi: 10.1186/s41601-019-0115-7 URL
[18]	路永坤. 稳定变论域模糊控制系统设计方法研究[D]. 天津: 天津大学, 2010.
	LU Yongkun. Research of design method for stable variable universe fuzzy control system[D]. Tianjin: Tianjin University, 2010.
[19]	曾碧凡. 核电站蒸汽发生器水位鲁棒控制研究[D]. 广州: 华南理工大学, 2017.
	ZENG Bifan. Study on water level robust control of steam generator of nuclear power station[D]. Guangzhou: South China University of Technology, 2017.

e_c	ΔK_p/ΔK_i
e_c	e(NB)	e(NN)	e(NS)	e(ZO)	e(PS)	e(PM)	e(PB)
NB	PB/NB	PB/NB	PM/NM	ZO/NM	PS/NS	ZO/ZO	ZO/ZO
NM	PB/NB	PB/NB	PM/NM	ZO/NS	PS/NS	ZO/ZO	NS/ZO
NS	PM/NB	PM/NM	PM/NS	PS/NS	ZO/ZO	NS/PS	NS/PS
ZO	PM/NM	PM/NM	PS/NS	ZO/ZO	NS/PS	NM/PM	NM/PM
PS	PS/NM	PS/NS	ZO/ZO	NS/PS	NS/PS	NM/PM	NM/PB
PM	PS/ZO	ZO/ZO	NS/PS	ZO/PS	NM/PM	NM/PB	NB/PB
PB	ZO/ZO	ZO/ZO	NM/PS	ZO/PM	NM/PM	NB/PB	NB/PB

额定功率点	G₁	G₂	G₃	τ₁/s	τ₂/s	T/s	q_ν/(kg·s^-1)
5%P_R	0.058	9.63	0.181	41.9	48.4	119.6	57.4
15%P_R	0.058	4.46	0.226	26.3	21.5	60.5	180.8
30%P_R	0.058	1.83	0.310	43.4	4.5	17.7	381.8
50%P_R	0.058	1.05	0.215	34.8	3.6	14.2	660.0
100%P_R	0.058	0.47	0.105	28.6	3.4	11.7	1 435.0

控制器	σ/%
控制器	5%P_R	15%P_R	30%P_R	50%P_R	100%P_R
PI控制	47.2	19.3	37.1	27.8	17.2
模糊PI控制	24.5	14.2	18.6	22.8	11.3
变论域模糊控制	6.5	3.2	1.4	17.7	2.5

控制器	T_s/s
控制器	5%P_R	15%P_R	30%P_R	50%P_R	100%P_R
PI控制	1 694	610	290	238	110
模糊PI控制	1 560	594	243	192	103
变论域模糊控制	1 100	470	152	138	75

控制器	ζ/mm
控制器	5%P_R	15%P_R	30%P_R	50%P_R	100%P_R
PI控制	43.2	21.7	19.7	12.7	7.83
模糊PI控制	36.5	17.5	13.8	10.6	5.39
变论域模糊控制	28.6	15	9.8	9.1	4.56