基于Takagi-Sugeno模糊模型的核反应堆功率积分控制系统

Integral Control System of Nuclear Reactor Power Based on Takagi-Sugeno Fuzzy Model

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 capability of a nuclear reactor, the integral control system based on T-S fuzzy model is presented. Linear models are first derived from the original nonlinear model on several operating points. Next the mature state feedback technique is used to design local controllers and the parallel distributed compensation （PDC） scheme is applied to construct the global controller with the relative neutron density at the equilibrium point as the premise variable. By means of theoretical derivation, the stability condition of closed-loop control system in the form of linear matrix inequalities （LMI） is obtained. The result of solving LMI proves that this control system is asymptotically stable in the large. The numerical simulations are done for three typical operating conditions, the results of which show that this control system has a good load-following capability of nuclear reactor.