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基于最大Lyapunov指数的摇摆条件自然循环压降型脉动混沌演化研究
引用本文:林宇琦,高璞珍,李宗洋,张银星,王忠乙.基于最大Lyapunov指数的摇摆条件自然循环压降型脉动混沌演化研究[J].核动力工程,2021,42(3):42-48.
作者姓名:林宇琦  高璞珍  李宗洋  张银星  王忠乙
摘    要:基于最大Lyapunov指数(λ)对摇摆运动下压降型脉动(PDO)的混沌演化行为进行了实验研究和混沌演化特性分析。研究认为其混沌演化路径可分为3个阶段:热工水力稳定区、频率锁定振荡区和脱离摇摆影响区,并对每个阶段热工水力原理和混沌性特征及成因进行了分析。热工水力稳定区不产生PDO,呈高随机性低振幅轻微振荡。频率锁定振荡区中,PDO周期被迫与摇摆周期保持一致,呈不规则的拟周期运动,λ显著增大。脱离摇摆影响区中PDO产生倒流并以固有频率进行振荡。λ达到极大值,表现出强烈的混沌特性。 

关 键 词:压降型脉动(PDO)    摇摆运动    自然循环    混沌演化

Investigation on Chaotic Evolution of Natural Circulation Pressure Drop Oscillation under Rolling Condition Based on Maximal Lyapunov Exponent
Abstract:In this paper, a series of experiments on the chaotic evolution of pressure drop oscillations (PDO) under rolling motion were designed and performed. The chaotic characteristic is analyzed based on maximal Lyapunov exponent (λ). It is concluded that the chaotic evolution route can be divided into 3 regions. In the thermal-hydraulic stable region, it is a stochastic low-amplitude vibration and PDO cannot happen. In the frequency lock oscillation region, PDO is forced to keep the same frequency as rolling motion and forms quasi-periodical oscillation with increasing λ. In the rolling effect weakening region, PDO with natural frequency can generate reverse flow. λ reaches the maximum value and shows strong chaotic characteristics. 
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