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包含静止无功补偿器的电力系统非线性控制

Nonlinear Control for Power Systems with Static Var Compensator

【作者】 刘孙贤

【导师】 张敏;

【作者基本信息】 湖南科技大学 , 控制理论与控制工程, 2007, 硕士

【摘要】 电力系统是一个典型的非线性、不确定性大系统,随着社会的进步、经济的发展,社会对电力需求不断增加,使得现代电力系统规模越来越大,电网结构也日益复杂和庞大。电力系统安全性、经济性及电能质量的高要求,使得灵活交流输电系统(FACTS)技术成为目前电力系统一个极为重要的研究领域。静止无功补偿器(SVC)作为FACTS器件的一种,由于具有诸多的优点而成为目前电力系统无功补偿的发展方向。然而,长期以来,所设计的SVC控制器基本上都是依据在某一确定的工作点附近对非线性模型线性化,简化为一近似线性系统。近年来,广义哈密顿系统理论快速发展,充分考虑了系统的非线性特性,为电力系统的非线性研究提供了一种强有力的工具。本文的主要做了以下几方面的工作:1、针对SVC以及电力系统的非线性特性,建立了系统的动态模型,应用广义Hamilton系统实现理论,将所建模型转化为广义哈密顿系统,即解决了包含SVC的单机-无穷大电力系统的哈密顿实现问题;2、研究了Hamilton系统的L2干扰抑制问题,并给出包含SVC的单机-无穷大系统的L2干扰抑制律。针对所设计的控制律进行数字仿真,不同条件下的仿真效果良好;3、考虑到Hamilton能量函数实际上是动态系统的Lyapunov函数,针对包含SVC的电力系统,从能量角度设计了基于能量函数的非线性控制器。在不同条件下的仿真效果验证了控制器的效果;4、克服传统的单片机计算速度慢、精度低的缺陷,设计了基于DSP的静止无功补偿器的控制系统。

【Abstract】 Power system is a typical uncertain large-scale nonlinear system. With the development of the society and the economy, demands to energy increased greatly have been leading to the rapid development of modern power systems. Power systems are becoming more and more complex. The high demands to safety, economy and power quality of power systems make FACTS an important research area in power systems. Because of many advantages, as one of important apparatus in FACTS, SVC is the direction of reactive power compensation. But almost all of the existing SVC controllers under operation are designed on the basis of model which is approximately linearized at an equilibrium point, translating the nonlinear system into approximate linear system. Lately, the speedy development of theory of generalized Hamiltonian system makes it one of important nonlinear research methods, considering sufficiently the nonlinear characters of systems.The followings are the main contributions of this dissertation:1、In the dissertation , considering the nonlinear characters of power systems with SVC, the nonlinear dynamic model is constituted, which transformed into the generalized Hamiltonian system by the theory of generalized Hamiltonian realization. So that, Hamiltonian realization problem for the one-machine infinite-bus power systems with SVC is resolved;2、The L2 disturbance attenuation problem of Hamilton system is discussed in the dissertation, proposing the control design of L2 disturbance attenuation for the one-machine infinite-bus power systems with SVC. The digital simulation results verify the effectiveness of the controller;3、Since Hamiltonian function is an energy function, the dissertation also presents a new way for the nonlinear controller design based on energy theory. The digital simulations in different instances results verify the effectiveness of the controller;4、The designs of SVC control systems based DSP is proposed in the dissertation, overcoming deficiencies of tradition single-chip in speed and precision.

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