基于Hamilton理論的廣域電力系統(tǒng)時滯反饋控制研究
發(fā)布時間:2018-05-24 03:25
本文選題:多機電力系統(tǒng) + 信號時滯; 參考:《上海交通大學(xué)》2014年博士論文
【摘要】:在互聯(lián)電力系統(tǒng)的穩(wěn)定分析與控制技術(shù)的發(fā)展過程中,廣域測量系統(tǒng)為整個電網(wǎng)的實時監(jiān)測、在線控制與控制優(yōu)化等方面提供了良好的數(shù)據(jù)交互平臺,較好地提高了電力系統(tǒng)的穩(wěn)定性,但同時也使得整個電力系統(tǒng)的時滯特性更加凸顯,成為典型的時滯動力系統(tǒng)。近年來,考慮時滯影響的電力系統(tǒng)穩(wěn)定與廣域控制問題成為一個研究的熱點,取得了豐碩的成果,推動了時滯電力系統(tǒng)的迅速發(fā)展,尤其是基于線性控制理論的線性時滯系統(tǒng)的穩(wěn)定性分析與控制得到了空前的發(fā)展,由于非線性問題普遍存在于電力工程技術(shù)領(lǐng)域中再加上時滯又是不可避免的現(xiàn)象,因此研究非線性時滯電力系統(tǒng)的穩(wěn)定性與控制設(shè)計問題,并推廣至多機互聯(lián)復(fù)雜電力系統(tǒng)具有更廣闊的應(yīng)用空間。基于能量方法的廣義Hamilton系統(tǒng)是一類具有非線性特性的一般非線性系統(tǒng),在研究非線性系統(tǒng)的穩(wěn)定性方面更具有結(jié)構(gòu)清晰和意義明確的優(yōu)越性,因此在眾多實際控制系統(tǒng)中得到應(yīng)用,并成為解決非線性控制問題的重要方法之一。該方法在應(yīng)用方面所面臨的難題,即將非線性系統(tǒng)等價轉(zhuǎn)換為廣義Hamilton系統(tǒng)形式,該難題也得到了深入的研究并取得了較好地實現(xiàn)方法。然而,當系統(tǒng)中存在較大時滯時,不可避免的將影響電力系統(tǒng)的控制效果,甚至可能導(dǎo)致系統(tǒng)失穩(wěn)。本文以電力系統(tǒng)的廣域信號時滯特性為核心,對時滯電力系統(tǒng)的穩(wěn)定性與廣域控制問題進行了研究,希望本論文的分析方法和結(jié)論對時滯電力系統(tǒng)的研究提供一些有效的途徑,該論文的主要研究內(nèi)容、研究方法和得出的主要結(jié)論為:根據(jù)電力系統(tǒng)存在時滯的差異性,將控制器信號分為本地?zé)o時滯控制輸入信號和廣域異地多時滯控制輸入信號兩部分,建立多時滯電力系統(tǒng)的模型,運用lyapunov-krasovskii泛函理論推導(dǎo)出含有時滯分量的線性多時滯電力系統(tǒng)穩(wěn)定判據(jù),將控制問題轉(zhuǎn)換為線性矩陣不等式的可行性問題,并采用模型降階方法對原系統(tǒng)進行降階,實現(xiàn)了含有多個時滯的廣域輸出反饋控制,計算出能夠使閉環(huán)電力系統(tǒng)穩(wěn)定的時滯裕度。分析了系統(tǒng)穩(wěn)定判據(jù)中時滯分量與廣域控制器參數(shù)之間的關(guān)系,以及對區(qū)域間振蕩的控制效果。時滯電力系統(tǒng)的保守性與時滯分量之間存在反比關(guān)系,即時滯分量越大系統(tǒng)的保守性越小,同時廣域控制器的控制效果更有效。該多時滯廣域控制設(shè)計方法的主要特點是,將電力系統(tǒng)各區(qū)域之間具有主導(dǎo)作用機組的相互影響引入到設(shè)計思想中,有效提高了對區(qū)域間振蕩的抑制作用。基于hamilton系統(tǒng)理論,通過引入廣域測量時滯信號,建立含有avr和pss裝置的區(qū)域互聯(lián)電網(wǎng)的時滯hamilton系統(tǒng),給出相應(yīng)的lyapunov-krasovskii泛函并推導(dǎo)出以矩陣不等式為形式的時滯依賴穩(wěn)定性判據(jù),計算出能使閉環(huán)電力系統(tǒng)穩(wěn)定的時滯裕度,權(quán)衡廣域阻尼控制器的阻尼性能與時滯裕度之間的關(guān)系,從而給出對應(yīng)的控制參數(shù)。將上述思想和方法推廣至含有svc、tcsc等facts裝置的電力系統(tǒng)中,分析了時滯hamilton系統(tǒng)的穩(wěn)定性并設(shè)計協(xié)調(diào)控制器?紤]廣域時滯信號,建立其時滯hamilton模型,分析發(fā)電機附加勵磁與上述裝置控制策略之間的協(xié)調(diào)控制問題。計及傳輸信號時滯時,廣域控制器的控制增益隨著傳輸時滯的增大而減小。時滯裕度的大小對廣域控制器的參數(shù)設(shè)計具有重要的指導(dǎo)意義。根據(jù)電力系統(tǒng)的特點,考慮多機系統(tǒng)的廣義hamilton模型中的耦合項,即由轉(zhuǎn)移電導(dǎo)產(chǎn)生的多余項,分析此類時滯廣義hamilton系統(tǒng)的穩(wěn)定性及控制方法。將反饋控制的時滯環(huán)節(jié)通過一系列數(shù)學(xué)變換轉(zhuǎn)換成為微分方程,將顯含的時滯環(huán)節(jié)隱含在系統(tǒng)的動態(tài)微分模型中,并利用偽廣義Hamilton系統(tǒng)理論和控制方法,將考慮反饋時滯和轉(zhuǎn)移電導(dǎo)的多機電力系統(tǒng)表示成偽廣義耗散Hamilton系統(tǒng)形式,采用偽廣義耗散Hamilton系統(tǒng)定理中的控制器設(shè)計方法實現(xiàn)了含有時滯的廣域反饋控制和魯棒控制。分別對所設(shè)計的控制器進行了仿真驗證,結(jié)果表明在考慮時滯的情況下所設(shè)計的發(fā)電機勵磁控制器可以減少時滯對系統(tǒng)動態(tài)性能的影響,并能夠使系統(tǒng)的最大允許時滯增大,增強了系統(tǒng)對時滯的魯棒性。
[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.
【學(xué)位授予單位】:上海交通大學(xué)
【學(xué)位級別】:博士
【學(xué)位授予年份】:2014
【分類號】:TM712
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