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首页> 外文学位 >Analysis of nonlinear modal interaction and its effect on control performance in stressed power systems using normal forms method.
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Analysis of nonlinear modal interaction and its effect on control performance in stressed power systems using normal forms method.

机译：使用规范形式方法分析非线性模态相互作用及其对应力电力系统控制性能的影响。

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In this research the nonlinear modal interaction and the effect of the interaction on the stressed power system dynamic behavior including excitation control performance are discussed. A systematic scheme based on the normal forms method for the determination of nonlinear interaction between fundamental modes and excitation control modes in a stressed power system is developed.; In a stressed power system, the interarea mode phenomenon may occur under large disturbance. Recent investigations revealed that the interarea mode may be among the power system fundamental modes of oscillation associated with the nonlinear modal interaction. If there is significant interaction, the controls will be affected. Because the conventional control system design techniques do not consider the interaction between modes, it is essential to develop a new approach for a clear understanding of the nonlinear modal interaction and its effect on the system dynamic performance.; The proposed approach consists of Taylor series expansion, eigen-analysis, normal forms method, and time simulation. In normal form theory, a set of N-dimensional N system modes is said to be resonant of order r (where r is an integer) if {dollar}lambdasb{lcub}j{rcub}={lcub}sumlimitssbsp{lcub}k=1{rcub}{lcub}N{rcub}{rcub} msb{lcub}k{rcub}lambdasb{lcub}k{rcub}{dollar} and {dollar}r={lcub}sumlimitssbsp{lcub}k=1{rcub}{lcub}N{rcub}{rcub} msb{lcub}k{rcub}{dollar} for j = 1, 2, {dollar}cdots{dollar}, N. In this research work the second-order approxima-tion of the system equations is used. Second-order resonance condition is characterized by {dollar}lambdasb{lcub}k{rcub}{dollar} + {dollar}lambdasb{lcub}l{rcub}{dollar} = {dollar}lambdasb{lcub}j{rcub}{dollar}. If there are no second-order resonances then all the second-order nonlinear terms can be eliminated successively from the vector field using a set of nonlinear state space transformations. The terms of the nonlinear transformation provide important information regarding nonlinear modal interaction.; After identifying the modes associated in the interaction and the extent to which they interact, initial conditions for the state variables corresponding to the excitation of the interacting modes are determined using the normal form transformation. These initial conditions are then used to analyze the effect of nonlinear modal interaction on the dynamic system behavior including the excitation control performance.; The approach has been applied to two systems which are the four-generator test system and the IEEE 50-generator test system. The results show that excitation control modes interact with low frequency modes and the nonlinear modal interaction can substantially influence the dynamic system behavior.
机译：在这项研究中，讨论了非线性模态相互作用以及相互作用对应力电力系统动态行为（包括励磁控制性能）的影响。提出了一种基于范式方法的系统方案，用于确定应力电力系统中基本模式与励磁控制模式之间的非线性相互作用。在压力大的电力系统中，可能会在较大干扰下发生区域间模式现象。最近的研究表明，区域间模式可能是与非线性模态相互作用相关的电力系统基本振荡模式之一。如果存在重大交互，则控件将受到影响。由于传统的控制系统设计技术没有考虑模式之间的相互作用，因此有必要开发一种新方法来清楚地了解非线性模式相互作用及其对系统动态性能的影响。所提出的方法包括泰勒级数展开，特征分析，范式方法和时间模拟。在范式理论中，如果{美元} lambdasb {lcub} j {rcub} = {lcub} sumlimitssbsp {lcub} k，则一组N维N个系统模式被称为阶r（其中r是整数）的共振。 = 1 {rcub} {lcub} N {rcub} {rcub} msb {lcub} k {rcub} lambdasb {lcub} k {rcub} {dollar}和{dollar} r = {lcub} sumlimitssbsp {lcub} k = 1 {rcub} {lcub} N {rcub} {rcub} msb {lcub} k {rcub} {dollar} for j = 1，2，{dollar} cdots {dollar}，N。在这项研究工作中，二阶近似使用系统方程式。二阶共振条件的特征在于{dollar} lambdasb {lcub} k {rcub} {dollar} + {dollar} lambdasb {lcub} l {rcub} {dollar} = {dollar} lambdasb {lcub} j {rcub} {美元}。如果没有二阶谐振，则可以使用一组非线性状态空间变换从矢量场中连续消除所有二阶非线性项。非线性变换的术语提供了有关非线性模态相互作用的重要信息。在确定了相互作用中关联的模式及其相互作用的程度之后，使用正常形式变换确定与相互作用模式的激发相对应的状态变量的初始条件。然后将这些初始条件用于分析非线性模态相互作用对动态系统行为（包括励磁控制性能）的影响。该方法已应用于两个系统，即四发电机测试系统和IEEE 50发电机测试系统。结果表明，励磁控制模式与低频模式相互作用，而非线性模态相互作用可以极大地影响动态系统的行为。

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