Stability Analysis of a Simplified Model of Supercritical Water-Cooled System
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摘要: 针对超临界水热力系统建立了简化模型,采用微扰动线性化及Laplace变换,对热力系统的非线性守恒方程进行线性化处理,建立了传递函数;用无量纲的次拟临界数和过拟临界数建立了稳定边界图;考察了一些重要参数对系统稳定性的影响。研究结果表明,系统在拟临界点附近存在不稳定区域;增大系统入口阻力或流体入口速度均有利于系统稳定,而增加加热段长度和重力加速度均不利于系统稳定。Abstract: This paper presents the stability analysis of a simplified model of supercritical water-cooled system. Based on the perturbation linearization and Laplace transformation, transfer function of the simplified system model is established. A stability map is generated using both dimensionless parameters, i.e. sub-pseudo-critical number and trans-pseudo-critical number. An unstable region nearby the pseudo-critical point is determined. The effect of some important parameters on the stability behavior is investigated. It is found that the system is stabilized with a higher hydraulic resistance of the inlet, fluid inlet velocity. It is also found that a longer heating zone or a bigger acceleration of gravity leads to a larger stability margin of the system.
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