现代电力系统中的各元件,如发电机与高压直流输电、柔性交流输电等电力电子装置,均安装有控制器,当进行区域控制或进行区域级仿真或分析时,需要含各元件控制器的完整区域模型。但完整区域模型非常复杂,因而迫切需要能对其合理简化,既能准确描述整个区域的主要动态特性,又能大大降低微分方程的阶数,降低模型的复杂性与非线性特性。而区域级模型简化的核心和重点又在于元件级模型的简化。该系列文章建立含控制器的元件完整结构化模型(微分-代数方程形式),并给出其简化方法。不同于传统的线性化等效或主导极点简化,提出的简化方法,在保证微分-代数系统性质、保留隐动态的前提下,大大降低微分方程阶数与复杂性,为实时控制提供合适的区域级(机电暂态)模型。该文给出元件完整与简化结构化模型的一般形式与规范化构造方法,建立含各种控制器(包括传统的解析与神经网络等非解析控制器)在内的同步发电机的完整结构化模型并做模型简化,简化模型与完整模型的仿真试验对比验证了简化方法的有效性。
All of the components of modern power systems, such as generator set, HVDC, FACTS apparatus, are equipped with corresponding controllers. In many research areas, such as the design of area controllers, simulation or analysis, there is the need of constructing integral area models including controllers of each component. Meanwhile, the integral area model including component controllers should be further simplified, for it is very complex. The simplified area model should not only precisely describe the main dynamics of the area, but also have low degrees, low complexity and low nonlinearity. Here, the core of simplification is how to simplify the component model including component controller. This series papers constructed the integral component structural models including component controllers, which is expressed by differential-algebraic equations, and the corresponding simplification method was also given. The proposed simplification method can obviously reduce the complexity of the models, such as the degrees of differential equations, but some important characters can also be held, such as differential-algebraic structure and hidden dynamics. Compared to the proposed method, traditional equivalent linearization simplification method can not change the degree of equations, and is only valid in local operating points. Simplification method based on dominant pole placement is difficult to be used for differential-algebraic systems, and can not hold hidden dynamics. Thus the proposed method can give suitable area models for real-time control. In this paper, the general expression of the integral and simple component structural model and corresponding normalized construction method was given. As an example, the integral structural model and simplified model of generator set, including traditional analytic expressions and non-analytic expressions based on ANN method were constructed. The numerical simulation indicates that the simplified models can match the original one with the similar dynamic response behavior