循环流化床燃烧系统无终端约束字典序经济预测控制

doi:10.11949/0438-1157.20191513

摘要/Abstract

摘要：

针对循环流化床锅炉(CFBB)燃烧系统非线性、约束、多变量耦合等过程特性和多目标燃烧优化要求，提出一种无终端约束字典序经济模型预测控制策略。基于字典序多目标优化思想，将CFBB稳定燃烧工况作为最重要控制目标，将燃烧系统经济性能作为次重要目标，构建分层滚动时域优化控制问题。设计关于稳定燃烧性能指标的终端域条件，建立无显式终端约束的稳定字典序经济模型预测控制策略。这不仅降低了多目标燃烧控制器的在线计算量，同时并行实现CFBB燃烧系统的稳定控制和经济性能优化。最后通过仿真对比验证本文提出方法的有效性。

关键词: 模型预测控制, 燃烧控制, 多目标控制, 经济, 稳定性

Abstract:

This paper proposes a lexicographic economic model predictive control (MPC) without terminal constraints for multi-objective optimization of circulating fluidized bed boiler (CFBB) combustion systems subject to nonlinearity, constraints, and multivariable coupling. By the idea of lexicographic multi-objective optimization, the hierarchical receding horizon optimization control problem is formulated for the CFBB combustion system, where stabilization of the combustion process is viewed as the most important control objective and combustion economic performance is viewed as the second important control objective. By designing the terminal region condition of the stability objective function, the stabilizing lexicographic economic MPC scheme with no explicit terminal constraints is established for the CFBB combustion system. This not only reduces the online calculation amount of the multi-objective combustion controller, but also realizes the stable control and economic performance optimization of the CFBB combustion system in parallel. Finally, the validity of the proposed method is verified by simulation comparison.

Key words: model predictive control, combustion control, multi-objective control, economics, stability

中图分类号:

TP 273.1

何德峰, 张永达, 李廉明, 仇翔. 循环流化床燃烧系统无终端约束字典序经济预测控制[J]. 化工学报, 2020, 71(3): 1210-1216.

Defeng HE, Yongda ZHANG, Lianming LI, Xiang QIU. Lexicographic economic predictive control without terminal constraints for CFBB combustion systems[J]. CIESC Journal, 2020, 71(3): 1210-1216.

图/表 4

图1 循环流化床锅炉燃烧系统

Fig.1 CFBB combustion system

图2 CFBB燃烧系统状态轨迹

Fig.2 State trajectories of CFBB combustion systems

图3 CFBB燃烧系统控制输入

Fig.3 Control inputs of CFBB combustion systems

表1 经济性能

Table 1 Economic performance

控制策略	总煤耗/kg	均煤耗/(kg/s)
WMPC(A)	206.072	1.717
WMPC(B)	207.464	1.729
WMPC(C)	208.391	1.737
LMPC	208.150	1.735

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