基于Hamilton理论的广域电力系统时滞反馈控制研究

发布时间：2018-05-24 03:25

本文选题：多机电力系统 + 信号时滞　；参考：《上海交通大学》2014年博士论文

【摘要】：在互联电力系统的稳定分析与控制技术的发展过程中,广域测量系统为整个电网的实时监测、在线控制与控制优化等方面提供了良好的数据交互平台,较好地提高了电力系统的稳定性,但同时也使得整个电力系统的时滞特性更加凸显,成为典型的时滞动力系统。近年来,考虑时滞影响的电力系统稳定与广域控制问题成为一个研究的热点,取得了丰硕的成果,推动了时滞电力系统的迅速发展,尤其是基于线性控制理论的线性时滞系统的稳定性分析与控制得到了空前的发展,由于非线性问题普遍存在于电力工程技术领域中再加上时滞又是不可避免的现象,因此研究非线性时滞电力系统的稳定性与控制设计问题,并推广至多机互联复杂电力系统具有更广阔的应用空间。基于能量方法的广义Hamilton系统是一类具有非线性特性的一般非线性系统,在研究非线性系统的稳定性方面更具有结构清晰和意义明确的优越性,因此在众多实际控制系统中得到应用,并成为解决非线性控制问题的重要方法之一。该方法在应用方面所面临的难题,即将非线性系统等价转换为广义Hamilton系统形式,该难题也得到了深入的研究并取得了较好地实现方法。然而,当系统中存在较大时滞时,不可避免的将影响电力系统的控制效果,甚至可能导致系统失稳。本文以电力系统的广域信号时滞特性为核心,对时滞电力系统的稳定性与广域控制问题进行了研究,希望本论文的分析方法和结论对时滞电力系统的研究提供一些有效的途径,该论文的主要研究内容、研究方法和得出的主要结论为:根据电力系统存在时滞的差异性,将控制器信号分为本地无时滞控制输入信号和广域异地多时滞控制输入信号两部分,建立多时滞电力系统的模型,运用lyapunov-krasovskii泛函理论推导出含有时滞分量的线性多时滞电力系统稳定判据,将控制问题转换为线性矩阵不等式的可行性问题,并采用模型降阶方法对原系统进行降阶,实现了含有多个时滞的广域输出反馈控制,计算出能够使闭环电力系统稳定的时滞裕度。分析了系统稳定判据中时滞分量与广域控制器参数之间的关系,以及对区域间振荡的控制效果。时滞电力系统的保守性与时滞分量之间存在反比关系,即时滞分量越大系统的保守性越小,同时广域控制器的控制效果更有效。该多时滞广域控制设计方法的主要特点是,将电力系统各区域之间具有主导作用机组的相互影响引入到设计思想中,有效提高了对区域间振荡的抑制作用。基于hamilton系统理论,通过引入广域测量时滞信号,建立含有avr和pss装置的区域互联电网的时滞hamilton系统,给出相应的lyapunov-krasovskii泛函并推导出以矩阵不等式为形式的时滞依赖稳定性判据,计算出能使闭环电力系统稳定的时滞裕度,权衡广域阻尼控制器的阻尼性能与时滞裕度之间的关系,从而给出对应的控制参数。将上述思想和方法推广至含有svc、tcsc等facts装置的电力系统中,分析了时滞hamilton系统的稳定性并设计协调控制器。考虑广域时滞信号,建立其时滞hamilton模型,分析发电机附加励磁与上述装置控制策略之间的协调控制问题。计及传输信号时滞时,广域控制器的控制增益随着传输时滞的增大而减小。时滞裕度的大小对广域控制器的参数设计具有重要的指导意义。根据电力系统的特点,考虑多机系统的广义hamilton模型中的耦合项,即由转移电导产生的多余项,分析此类时滞广义hamilton系统的稳定性及控制方法。将反馈控制的时滞环节通过一系列数学变换转换成为微分方程,将显含的时滞环节隐含在系统的动态微分模型中,并利用伪广义Hamilton系统理论和控制方法,将考虑反馈时滞和转移电导的多机电力系统表示成伪广义耗散Hamilton系统形式,采用伪广义耗散Hamilton系统定理中的控制器设计方法实现了含有时滞的广域反馈控制和鲁棒控制。分别对所设计的控制器进行了仿真验证,结果表明在考虑时滞的情况下所设计的发电机励磁控制器可以减少时滞对系统动态性能的影响,并能够使系统的最大允许时滞增大,增强了系统对时滞的鲁棒性。
[Abstract]:In the development of the stability analysis and control technology of the interconnected power system, the wide area measurement system provides a good data interaction platform for the real-time monitoring of the whole power grid, on-line control and control optimization, which improves the stability of the power system, but also makes the time delay characteristic of the whole power system more prominent. In recent years, the problem of power system stability and wide area control considering the effect of time delay has become a hot topic in recent years. Great achievements have been achieved, and the rapid development of time delay power system has been promoted, especially the stability analysis and control of linear time lag system based on linear control theory has been unprecedentedly analyzed and controlled. Development, because the nonlinear problem is common in the field of power engineering and time delay is inevitable. Therefore, the study of the stability and control design of nonlinear time-delay power systems and the extension of the most extensive space to the multi machine interconnected complex power system. The generalized Hamilton system based on the energy method. It is a class of general nonlinear systems with nonlinear characteristics. It has more clear structure and clear meaning in the study of the stability of nonlinear systems. Therefore, it is applied in many practical control systems and becomes one of the important methods to solve nonlinear control problems. The equivalent transformation of nonlinear system into the form of generalized Hamilton system, which has been studied in depth and achieved a better realization method. However, when there is a large delay in the system, it will inevitably affect the control effect of the power system, or even lead to the instability of the system. This paper takes the wide area signal time delay of the power system. At the core, the stability and wide area control of time delay power systems are studied. It is hoped that the analysis methods and conclusions of this paper provide some effective ways for the research of time-delay power systems. The main research contents, research methods and main conclusions of this paper are as follows: according to the difference of time delay in power system, The controller signal is divided into two parts of local time delay control input signal and wide area heterogeneous time delay control input signal. The model of multi time delay power system is established. The stability criterion of linear multi delay power system with time delay component is derived by using Lyapunov-Krasovskii functional theory, and the control problem is converted to linear matrix inequality. The model reduction method is used to reduce the order of the original system, and the wide area output feedback control with multiple delays is realized. The delay margin that can make the closed loop power system stable is calculated. The relationship between the time delay component and the wide area controller parameter in the system stability criterion and the control of the interregional oscillation are analyzed. There is an inverse relationship between the conservatism and the time-delay component of the time-delay power system. The larger the delay component is, the smaller the conservativeness of the system, and the control effect of the wide area controller is more effective. The main feature of the multi time delay wide area control design method is to introduce the interaction of the leading units in each area of the power system. In the design idea, it effectively improves the suppression of interregional oscillation. Based on the Hamilton system theory, the time-delay Hamilton system with AVR and PSS devices is established by introducing the time-delay signals in the wide area, and the corresponding Lyapunov-Krasovskii functional is given and the time-delay dependence in the form of matrix inequalities is derived. The stability criterion is used to calculate the delay margin which can make the closed loop power system stable. The relationship between the damping property of the wide area damping controller and the delay margin is weighed, and the corresponding control parameters are given. The above ideas and methods are extended to the electrical system with SVC, TCSC and other FACTS devices, and the stability of the time delay Hamilton system is analyzed. A coordinated controller is designed. Considering the wide area delay signal, a time-delay Hamilton model is established to analyze the coordinated control between the generator additional excitation and the control strategy of the above device. The control gain of the wide area controller decreases with the increase of the transmission delay. The size of the time lag margin is on the wide area controller. The parameter design has important guiding significance. According to the characteristics of the power system, the coupling term in the generalized Hamilton model of the multi machine system is considered, that is, the stability and control method of this kind of time-delay generalized Hamilton system is analyzed. The time lag link of the feedback control is converted into a series of mathematical transformations. The differential equation is implied in the dynamic differential model of the system. By using the pseudo generalized Hamilton system theory and control method, the multi machine power system, which considers the feedback delay and transfer conductance, is expressed as a pseudo generalized dissipative Hamilton system, and the controller design side in the pseudo broad sense dissipative Hamilton system theorem is adopted. The method of wide area feedback control and robust control with time delay is implemented. The simulation of the designed controller is carried out respectively. The results show that the generator excitation controller can reduce the effect of time delay on the dynamic performance of the system, and can increase the maximum allowable delay of the system and enhance the system. Robustness to time delay.
【学位授予单位】：上海交通大学
【学位级别】：博士
【学位授予年份】：2014
【分类号】：TM712

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