基于Nyquist准则的超临界水冷堆热工水力系统稳定性分析

Stability Analysis of Supercritical Water Cooled Reactor Thermal-hydraulic System Based on Nyquist Criterion

  • 摘要: 针对超临界水冷堆热工水力系统简化模型,采用微扰动线性化及Laplace变换的方法,对热工水力系统的非线性守恒方程进行线性化处理,推导出闭环系统传递函数。用Matlab软件对闭环系统进行了分析和仿真,得到模型闭环系统的稳定边界图,并分析了堆芯入口流速、加热段长度、重力加速度、入口节流系数对系统稳定边界的影响。结果表明,增大堆芯入口流速、加热段长度、重力加速度有利于系统的稳定,而入口节流系数对稳定性边界影响不大。

     

    Abstract: Aiming at the simplified model of supercritical water cooled reactor thermal-hydraulic system, small perturbation linearization and Laplace transform method were adopted to linearize the nonlinear thermal-hydraulic system conservation equations. Then the closed-loop system transfer function was deduced. Matlab code was used to analyze and simulate the closed-loop system and obtain the stability boundary map of the closed-loop system, and the effects of reactor core inlet flow velocity, heating length, gravity-acceleration and inlet throttling coefficient on the system stability boundary were analyzed finally. The results show that if the reactor core inlet flow rate, the heating section length, and the gravity acceleration increase, the stability of the system will be better, and however the inlet throttling coefficient rarely affects the stability boundary.

     

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