CAREER: Nonlinear Analyses and Robust Control of Interactive Power Networks

可靠的交互式电力网络（IPN）的应用范围从FACTS和分布式发电到海军舰艇和电信，是我们社会经济进步和安全的基础支柱之一。IPN具有混合动力学、非线性、多维度和多时间尺度的特点。使用平滑平均模型建模、分析和控制IPN的传统方法并不总是足够的，并且在许多情况下产生不准确的结果。该建议解决了这些不足之处，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、混合动力学、参数变化和干扰传播而导致的不稳定性（导致故障）；(c)在最佳和预期框架内开发鲁棒混合控制器（超出传统反馈控制领域），以在存在不稳定影响的情况下稳定IPN的动态，并通过建立不稳定阈值来识别即将发生的和早期的故障；(d)开发有效和稳健的算法来分析IPN的动力学，验证非线性分析的预测和使用虚拟试验台上现有的离线和在线模拟控制的有效性，最终导致对比例原型的实验验证。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，传播知识以加强技术和科学理解，重点是产学研合作，跨学科发展，学生和教师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.