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为了提高核反应堆运行的负荷跟随能力,提出了基于T-S模糊模型的积分控制系统。首先,在若干个工作点对非线性模型进行线性化,获得线性模型组;接着,使用成熟的状态反馈方法设计局部控制器;再应用并行分布补偿(parallel distributed compensation,PDC)方法,以在平衡工作点的相对中子密度作为前件变量,构造全局控制器。通过理论推演,获得了以线性矩阵不等式形式(linear matrix inequalities,LMI)表达的闭环控制系统的稳定性条件。求解线性矩阵不等式的结果表明,所设计的控制系统在大范围内是渐进稳定的。针对三种具有代表性的运行工况进行数值仿真,其结果显示,此核反应堆功率控制系统具有很好的负荷跟随能力。
In order to improve the load following ability of nuclear reactor operation, an integral control system based on T-S fuzzy model is proposed. First of all, the nonlinear model is linearized at several working points to obtain a linear model group. Then, a local controller is designed by using a well-established state feedback method. Then, a parallel distributed compensation (PDC) method is applied to balance the nonlinear model. The relative neutron density at the working point is used as the antecedent variable to construct the global controller. Through the theoretical deduction, the stability conditions of the closed-loop control system expressed in linear matrix inequalities (LMI) are obtained. The results of solving linear matrix inequalities show that the designed control system is asymptotically stable over a large area. Numerical simulations of three typical operating conditions show that the power control system of this nuclear reactor has good load following capability.