Chaotic Load Models for Power Systems

本项目是混沌理论从数学到电力工程的一个应用。该项目侧重于研究采用混沌的电力负荷模型的设计、公式和性能。目标是为某些高度变化的负载（如交流电弧炉、轧钢厂、等离子炬和某些其他采矿负载以及电弧焊机）设计一个负载模型。这些负载已被证明具有表现混沌的时间序列负载电流：也就是说，混沌测试已应用于现场测量，并且负载电流数据似乎与作为产生源的混沌系统相一致。主要研究人员跨越两所大学（亚利桑那州立大学和爱荷华州立大学）和两个系（电气工程和数学系），计划将设施、人才和能力结合起来，研究被引用应用的混沌模型。研究计划是测试混沌模型相对于现场数据和其他模型（即随机模型）的适用性和准确性。比较和评价的方法是通过使用先进的电能质量指标，从混沌的数学测量，并进行时域和频域评价。实际交流电弧炉数据应使用在评估和准确性评估。该项目以共同负责人的工作为基础。为电力研究所完成了一些面向应用的工作；然而，该赞助商主要对应用程序和软件开发感兴趣。实际上没有进行任何理论工作或基础研究。本课题提出了在高度变化的电力负荷中使用混沌模型的基础研究。这项工作的实际影响是：利用混沌的负荷模型可以更准确地表示某些负荷类型，更像实际的物理过程；为某些类型的高度变化的负载开发精确的低AD模型；以及混沌理论在测量高度变化的电力负载影响方面的新应用。此外，该项目还包含教育内容，预计将对参与该项目的研究生和本科生的学生产生影响。这将是对混沌理论的理解和运用。该项目教育部分的实施部分是开发一个关于混沌的课堂学习模块。

ECS-9807529 Kostelich This project is an application of chaos theory from mathematics to electric power engineering. The project focuses on the research on the design, formulation, and performance of electrical load models that employ chaos. The objective is to design a load model for certain highly varying loads such as AC electric arc furnaces, steel rolling mills, plasma torches and certain other mining loads, and electric arc welders. These loads have been shown to have load currents that are time series that exhibit chaos: that is, tests for chaos have been applied to field measurements and it appears that the load current data are consistent with a chaotic system as the generating source. The principal investigators span two universities (Arizona State University and Iowa State University) and two departments (Electrical Engineering and Mathematics) with the plan to combine facilities, talents, and capabilities to study chaotic models for the cited application. The research plan is to test chaotic models for applicability and accuracy with respect to field data and other models (namely, the stochastic model). The method of comparison and evaluation is through the use of advanced power quality indices, measures from the mathematics of chaos, and time and frequency domain evaluations. Actual AC arc furnace data shall be used in the evaluation and accuracy assessment. This project builds on the work of the co-principals. Some application oriented work was completed for the Electric Power Research Institute; however, that sponsor was primarily interested in applications and software development. Virtually no theoretical work nor fundamental research was done. This project proposes the fundamental research on the use of chaos models for highly varying electrical loads. The practical impacts of this work are: the utilization of chaos for a load model which may represent certain load types more accurately and more like the actual physical process; the development of accurate lo ad models for certain types of highly varying loads; and a new application of chaos theory for the measurement of the impact of highly varying electrical loads. Also, there is an educational component to the project and there is expected to be an impact on the students, both graduate and undergraduate, who are involved in the project. This will be in the understanding and utilization of chaos theory. Part of the implementation of the educational component of the project is the development of a classroom study module on chaos.