کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
712010 892143 2015 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Port-Hamiltonian Formulation of the Gradient Method Applied to Smart Grids
ترجمه فارسی عنوان
فرمول بندی پورت هامیلتینی از روش گرادیان مورد استفاده در شبکه های هوشمند
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
چکیده انگلیسی

The gradient method is a well-known tool for solving convex optimization problems. This paper shows that the gradient method admits a Brayton-Moser and a port-Hamiltonian representation. In fact, its dynamics can be interpreted as a interconnection of multiple (port-Hamiltonian) passive systems, which plays a key role in proving asymptotic stability of the method. As an application to smart grids, this paper studies the problem of frequency regulation in power grids, while maximizing the social welfare. By applying the gradient method, we obtain a real-time dynamic pricing model in port-Hamiltonian form. By coupling with the port-Hamiltonian description of the physical network we obtain a closed-loop port-Hamiltonian system, which properties are exploited to prove asymptotic stability to the set of optimal points.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: IFAC-PapersOnLine - Volume 48, Issue 13, 2015, Pages 13-18