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theorem for damping的中文,翻译,解释,例句

theorem for damping

theorem for damping的基本解释
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阻尼定理

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With the help of the optimization theory, we present the vertex solution theorem for determining both the exact upper bounds or maximum values and the exact lower bounds or minimum values of the dynamic response of structures, in which these parameters reach their extreme values on the boundary of the interval mass, damping, stiffness matrices and the interval external loads vector.

借助于优化理论,提出了确定结构动力响应精确上下界的极点求解定理,其中极值将在区间质量矩阵、阻尼矩阵、刚度矩阵和外载荷列向量的顶点达到。

The following exciting results are revealed: 1 When considering the influence of some nonlinear elements such as hard-limit of exciters, the effects of some devices such as Power System Stabilizer and Static Var Compensator which can introduce positive damping in power system, the reasonability of system parameter values in simulation, the SNB surface and HB surface on the boundary of SSSR will turn close to each other and even coalesce together; 2 Under some conditions, coupling between slow exciters and shunt capacitors will bring negative damping in power system dynamics, which increases the possibility of oscillatory instability. So the power system with mass shunt compensators is easily subjected to the oscillatory instability. In recent years, chaotic phenomena of power system have been reported many times. Some simulation studies even found chaos existing inside the power system SSSR. In this dissertation, chaotic phenomena in power systems are thoroughly studied in order to make clear the relation of chaos and SSSR. The following results are derived: 1 Based on Li-Yorke Theorem and their definition on the chaos, the existence of chaos in power system is verified; 2 Three possible routes of causing chaos in power system are found and deeply investigated. They are route of cascading period doubling, route of directly initial energizing and route of torus bifurcation (or quasi-periodicity). The latter two routes are investigated for the first time in power system stability studies; 3 When the stability conditions of chaos are broken, it is found they can lead to voltage collapse, angle divergence, or voltage collapse with angle divergence simultaneously.

针对在电力系统小扰动稳定区域内可能存在混沌吸引域的有关报道,本文深入研究了电力系统混沌现象的出现途径和与系统失稳模式之间的关系:1利用Li-Yorke定理和Li-Yorke的混沌定义,从理论上证明了电力系统混沌现象的存在性;2发现了电力系统中导致混沌出现的三种可能途径:倍周期分岔导致混沌、初始能量直接激发混沌和经由环面分岔导致混沌,并对后两种新发现的途径进行了较为细致的研究;3发现了混沌极限环破裂导致电压崩溃、角度失稳以及电压崩溃和角度失稳同时出现的现象,其中混沌极限环破裂导致系统角度失稳和电压崩溃及角度失稳同时出现的现象均属首次报道;4证明由微分-代数方程描述的系统模型,其小扰动稳定域的边界只包含HB、SNB和SIB三种分岔界面,在SSSR的内部和边界上,均不可能存在会导致混沌的点,从而将混沌现象排除在小扰动稳定域的研究之外,简化了后者的研究工作。

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theorem for damping:阻尼定理

theorem 定理 | theorem for damping 阻尼定理 | theorem of alternative 择一定理