CAREER: Nonlinear Analyses and Robust Control of Interactive Power Networks

可靠的交互式电力网络(IPN)，其应用范围从FACTS和分布式发电到海军舰船和电信，构成了我们社会经济进步和安全的支柱之一。IPN具有混合动力学、非线性、多维、多时间尺度等特点。用平滑平均模型对IPN进行建模、分析和控制的传统方法并不总是有效的，而且在许多情况下会产生不准确的结果。本建议解决了这些不足，并有四个目标：(A)发展IPN的理论基础以实现统一的混合建模框架(UHMF)；(B)使用UHMF对IPN进行非线性分析，以预测由于复杂的网络间和网络内相互作用、混合动态、参数变化和干扰传播而导致的不稳定性(导致故障)；(C)在最优和可预见的框架内开发稳健的混合控制器(超出传统反馈控制的范围)，以在存在不稳定影响的情况下稳定IPN的动态，并通过建立不稳定性阈值来识别迫在眉睫的和早期的故障；以及(D)开发高效和稳健的算法来分析IPN的动力学，利用虚拟试验台上现有的离线和在线仿真来验证非线性分析的预测和控制的有效性，最终导致在规模样机上进行实验验证。从更广泛的角度来看，拟议的工作将促进研究和教育的整合，传播知识以增进对技术和科学的了解，重点是产学合作，跨学科发展，学生和教职员工在地方和国家一级的参与，以及来自代表性不足和少数群体的学生的参与。

Reliable interactive power networks (IPN), with applications ranging from FACTS and distributed power generation to naval ships and telecommunications, constitute one of the pillars of foundation of our socio-economic progress and security. IPN are characterized by hybrid dynamics, nonlinearities, multi-dimensionalities, and multiple time scales. Conventional approaches to modeling, analysis, and control of IPN using smooth averaged models are not always adequate and in many cases yield inaccurate results.This proposal addresses these inadequacies and has four objectives: (a) develop a theoretical underpinning of IPN to realize a unified hybrid-modeling framework (UHMF); (b) nonlinear analyses of IPN using the UHMF to predict instabilities (leading to failures) due to complex inter- and intra-network interactions, hybrid dynamics, parametric variations, and disturbance propagations; (c) develop robust hybrid controllers (beyond the realm of traditional feedback control) in an optimal and anticipatory framework to stabilize the dynamics of the IPN in the presence of destabilizing influences and identify impending and incipient failures by establishing thresholds for instabilities; and (d) develop efficient and robust algorithms to analyze the dynamics of IPN, validate the predictions of nonlinear analyses and the effectiveness of control using existing off- and on-line simulations on virtual test beds, ultimately leading to experimental verifications on a scaled prototype. On a broader note, the proposed work will promote integration of research and education, dissemination of knowledge for enhanced technical and scientific understanding, focused industry-university collaborations, cross-disciplinary growth, student and faculty involvement at local and national levels, and participation of students from under-represented and minority groups.