多变量FOPID-MAC在机炉协调控制中的应用

摘要

为了克服火电单元机组机炉协调控制中的多变量、强耦合、强干扰、大时滞等问题,提出了一种在状态空间方程形式下的多变量模型算法控制( MAC)与分数阶PID( FOPID)控制相结合的新型模型预测控算法MFOPID-MAC,并利用李雅普诺夫第二方法证明该算法推导出的控制律可以保证系统闭环稳定。将改进的多变量FOPID-MAC算法应用于火电单元机组的机炉协调控制系统,并进行阶跃响应、抗干扰仿真实验与绝对误差积分指标分析。仿真结果充分显示多变量FOPID-MAC控制方法具有良好的设定值跟踪特性与静态特性、较强的鲁棒性与满意的抗干扰性。%In order to overcome the problems in boiler-turbine coordinated control for fossil fired power unit, e. g. , multiple variables, strong coupling and disturbance, and large time delay, etc. , the new type of multi-variable model predictive control algorithm MFOPID-MAC which combines the multi-variable model algorithm control ( MAC) and fractional-order PID ( FOPID) is proposed. By adopting Lyapunov the second method, it is verified that the control law derived from the algorithm can ensure the closed loop stability of the system. Step response and anti-disturbance simulation experiments of the improved MFOPID-MAC are carried out in boiler-turbine coordinated control system of fossil fired power unit, and the integral absolute error index is analyzed. The results of simulation show that the multi-variable FOPID-MAC method has satisfactory set-point tracking and static characteristics and good robustness as well as disturbance rejection capability.