电力系统非线性动力学行为分析与控制
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摘要
电力系统非线性动力学行为分析与控制要研究电力系统中发生的分岔、混沌现象及其与电力系统中非线性振荡、次同步谐振以及电压崩溃的关系,研究电力系统分岔、混沌的控制策略以确保电力系统的稳定性,因此,它成为了电力系统稳定与控制的研究热点。
本文在总结了当前电力系统非线性动力学行为分析与控制研究现状的基础上,对电力系统的分岔、混沌现象进行了分析,提出了相应的控制策略,同时对能够消除或抑制电力系统分岔和混沌现象的有关装置进行了非线性控制器的设计。主要内容如下:
(1)针对不确定连续混沌系统提出了状态观测器结合非线性H_∞鲁棒控制器的混沌系统稳定化控制策略,确保控制器在系统状态不能全部测量的情况下对干扰的鲁棒性;运用多变量逆推自适应控制方法设计了参数不确定混沌系统的稳定化控制器。
(2)运用自适应控制律与非线性反馈控制相结合设计了参数不确定非线性系统的Hopf分岔控制器,消除了非线性系统的Hopf分岔现象,而且控制器与系统参数的变化范围无关。
(3)运用Melnikov方法分析了受周期性负荷扰动简单电力系统发生混沌振荡的条件,利用逆系统方法、自适应Backstepping控制方法、最优自适应控制方法来稳定电力系统。
(4)运用线性反馈控制方法设计了简单电力系统的静态分岔控制器;运用Hopf分岔的定义或Hopf分岔的代数判据研究了含电压调节器(AVR)的单机无穷大系统发生Hopf分岔的条件和其实际含义,提出了Hopf分岔控制器的设计方法;针对面向电压稳定分析的简单电力系统模型,提出分岔控制的方法,从而提高电压的稳定域,延迟电压崩溃。
(5)运用自适应逆推方法设计了电力系统的非线性控制器来提高电力系统稳定性。这些控制器是发电机的励磁控制器、发电机励磁和汽门开度的综合控制器、TCSC稳定控制器以及多机系统TCSC鲁棒控制器。
The research of analysis and control for electric power system nonlinear dynamical behavior consists of the bifurcation and chaos phenomena in electric power systems, and the mechanism of nonlinear oscillation, sub synchronous resonance and voltage collapse, and the control strategies for the bifurcation and chaos to ensure power system stability, which has become the research hotspot of power system stability and control.On the base of summarizing recent work in analysis and control for electric power system dynamical behavior, this dissertation analyses the bifurcation and chaos phenomena in electric power systems, and proposes corresponding control strategies. Designing of nonlinear controllers for some devices which can eliminate or restrain the bifurcation and chaos phenomena has been developed. The main contents and results in this dissertation are as follows:1. The stability control law for a class of uncertain continuous chaotic systems combining the state observer with the nonlinear H robust controller has been designed. The controller has robustness to outside disturbance in which the system state variables can not be all measured. The controller based on multi-variable adaptive backstepping method has been designed for uncertain parameter chaotic systems. Computer simulation results illustrate the validity of the controllers.2. Combining adaptive control law with nonlinear feedback control, Hopf bifurcation controller has been developed for uncertain parameter systems. The maximal characteristic of this controller is that it is irrelevant to the parameter of the system and can eliminate Hopf bifurcation.3. The condition that power system emerges chaotic oscillation under periodic load perturbation has been developed by Melnikov method. The controllers have been designed to stabilize the power system by means of inverse system method, adaptive backstepping control method and optimal adaptive control method respectively.4. With linear feedback control method, the static bifurcation controller for simple power system has been designed to eliminate SNB. The condition that Hopf bifurcation occurs in Single Machine Infinite Busbar Power System with AVR (Automatic Voltage Regular) has been found. The ways to design Hopf bifurcation controller have been
本文在总结了当前电力系统非线性动力学行为分析与控制研究现状的基础上,对电力系统的分岔、混沌现象进行了分析,提出了相应的控制策略,同时对能够消除或抑制电力系统分岔和混沌现象的有关装置进行了非线性控制器的设计。主要内容如下:
(1)针对不确定连续混沌系统提出了状态观测器结合非线性H_∞鲁棒控制器的混沌系统稳定化控制策略,确保控制器在系统状态不能全部测量的情况下对干扰的鲁棒性;运用多变量逆推自适应控制方法设计了参数不确定混沌系统的稳定化控制器。
(2)运用自适应控制律与非线性反馈控制相结合设计了参数不确定非线性系统的Hopf分岔控制器,消除了非线性系统的Hopf分岔现象,而且控制器与系统参数的变化范围无关。
(3)运用Melnikov方法分析了受周期性负荷扰动简单电力系统发生混沌振荡的条件,利用逆系统方法、自适应Backstepping控制方法、最优自适应控制方法来稳定电力系统。
(4)运用线性反馈控制方法设计了简单电力系统的静态分岔控制器;运用Hopf分岔的定义或Hopf分岔的代数判据研究了含电压调节器(AVR)的单机无穷大系统发生Hopf分岔的条件和其实际含义,提出了Hopf分岔控制器的设计方法;针对面向电压稳定分析的简单电力系统模型,提出分岔控制的方法,从而提高电压的稳定域,延迟电压崩溃。
(5)运用自适应逆推方法设计了电力系统的非线性控制器来提高电力系统稳定性。这些控制器是发电机的励磁控制器、发电机励磁和汽门开度的综合控制器、TCSC稳定控制器以及多机系统TCSC鲁棒控制器。
The research of analysis and control for electric power system nonlinear dynamical behavior consists of the bifurcation and chaos phenomena in electric power systems, and the mechanism of nonlinear oscillation, sub synchronous resonance and voltage collapse, and the control strategies for the bifurcation and chaos to ensure power system stability, which has become the research hotspot of power system stability and control.On the base of summarizing recent work in analysis and control for electric power system dynamical behavior, this dissertation analyses the bifurcation and chaos phenomena in electric power systems, and proposes corresponding control strategies. Designing of nonlinear controllers for some devices which can eliminate or restrain the bifurcation and chaos phenomena has been developed. The main contents and results in this dissertation are as follows:1. The stability control law for a class of uncertain continuous chaotic systems combining the state observer with the nonlinear H robust controller has been designed. The controller has robustness to outside disturbance in which the system state variables can not be all measured. The controller based on multi-variable adaptive backstepping method has been designed for uncertain parameter chaotic systems. Computer simulation results illustrate the validity of the controllers.2. Combining adaptive control law with nonlinear feedback control, Hopf bifurcation controller has been developed for uncertain parameter systems. The maximal characteristic of this controller is that it is irrelevant to the parameter of the system and can eliminate Hopf bifurcation.3. The condition that power system emerges chaotic oscillation under periodic load perturbation has been developed by Melnikov method. The controllers have been designed to stabilize the power system by means of inverse system method, adaptive backstepping control method and optimal adaptive control method respectively.4. With linear feedback control method, the static bifurcation controller for simple power system has been designed to eliminate SNB. The condition that Hopf bifurcation occurs in Single Machine Infinite Busbar Power System with AVR (Automatic Voltage Regular) has been found. The ways to design Hopf bifurcation controller have been
引文
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