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HVAC energy cost minimization in smart grids: A cloud-based demand side management approach with game theory optimization and deep learning

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Energy and AI 2024年第2期16卷 331-345页

作者： Rahman Heidarykiany cristinel ababei MESS Laboratory EECE DepartmentMarquette UniversityMilwaukeeWIUSA

In this paper, we present a novel cloud-based demand side management (DSM) optimization approach for the cost reduction of energy usage in heating, ventilation and air conditioning (HVAC) systems in residential homes at the district level. The proposed approach achieves optimization through scheduling of HVAC energy usage within permissible bounds set by house users. House smart home energy management (SHEM) devices are connected to the utility/aggregator via a dedicated communication network that is used to enable DSM. Each house SHEM can predict its own HVAC energy usage for the next 24 h using minimalistic deep learning (DL) prediction models. These predictions are communicated to the aggregator, which will then do day ahead optimizations using the proposed game theory (GT) algorithm. The GT model captures the interaction between aggregator and customers and identifies a solution to the GT problem that translates into HVAC energy peak shifting and peak reduction achieved by rescheduling HVAC energy usage. The found solution is communicated by the aggregator to houses SHEM devices in the form of offers via DSM signals. If customers’ SHEM devices accept the offer, then energy cost reduction will be achieved. To validate the proposed algorithm, we conduct extensive simulations with a custom simulation tool based on GridLab-D tool, which is integrated with DL prediction models and optimization libraries. Results show that HVAC energy cost can be reduced by up to 36% while indirectly also reducing the peak-to-average (PAR) and the aggregated net load by up to 9.97%.

关键词： Day ahead demand side management(DSM) Appliance energy usage prediction Residential energy usage scheduling flexibility Market incentives Non-cooperative game theory(GT) Dynamic price(DP) Energy cost minimization Electricity cost minimization Peak-to-average ratio(PAR)minimization Machine learning(ML) Long short-term memory(LSTM) Smart Home Energy Management(SHEM) Load shifting Internet of Things(ioT)applications Smart grid Heating Ventilation and air conditioning(HVAC)

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Nonlinear Shell Models of Kirchhoff-Love Type:Existence Theorem and Comparison with Koiter's Model

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Acta Mathematicae Applicatae Sinica 2019年第1期35卷 3-27页

作者： cristinel MARDARE Sorbonne Université CNRS Laboratoire Jacques-Louis LionsLJLL

We define two nonlinear shell models whereby the deformation of an elastic shell with small thickness minimizes ad hoc functionals over sets of admissible deformations of Kirchhoff-Love type. We establish that both models are close in a specific sense to the well-known nonlinear shell model of W.T. Koiter and that one of them has a solution, by contrast with Koiter's model for which such an existence theorem is yet to be proven.

关键词： Nonlinearly Elastic Shells Kirchhoff-Love Koiter Existence Theory Asymptotics

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Nonlinear Korn Inequalities on a Hypersurface

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Chinese Annals of Mathematics,Series B 2018年第3期39卷 513-534页

作者： Maria MALIN cristinel MARDARE Department of Mathematics University of CraiovaCraiova200585Romania Sorbonne Universite CNRSLaboratoire Jacques-Louis LionsLHLLF-75005ParisFrance

The authors establish several estimates showing that the distance in W^(1,p),1 < p < ∞,between two immersions from a domain of R^n into R^(n+1) is bounded by the distance in L^p between two matrix fields defined in terms of the first two fundamental forms associated with each immersion. These estimates generalize previous estimates obtained by the authors and P. G. Ciarlet and weaken the assumptions on the fundamental forms at the expense of replacing them by two different matrix fields.

关键词： Differential geometry Hypersurface Nonlinear shell theory

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Partial Differential Equations and Continuum Mechanics:a Collection of Papers Dedicated to Professor Philippe G. Ciarlet on the Occasion of His 80th Birthday

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Acta Mathematicae Applicatae Sinica 2019年第1期35卷 1-2页

作者： cristinel MARDARE Tong YANG 不详

Preface This Special Issue in'Acta Mathematicae Applicatae Sinica(English Series)'gathers peer reviewed papers dedicated to Professor Philippe *** on the occasion of his eightieth *** by friends and colleagues from France and Hong Kong/China,they stand as a testimony of their admiration for an exceptional human being and mathematician.

关键词： Partial Differential Equations Continuum Mechanics

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Recovery of Immersions from Their Metric Tensors and Nonlinear Korn Inequalities:A Brief Survey

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Chinese Annals of Mathematics,Series B 2017年第1期38卷 253-280页

作者： Philippe G.CIARLET cristinel MARDARE Sorin MARDARE Department of Mathematics City University of Hong Kong83 Tat Chee AvenueKowloonHong Kong. Sorbonne Universites Universite Pierre et Marie CurieLaboratoire Jacques-Louis LionsCNRS-UMR7598F-7.5005 Laboratoire de Mathematiques Raphael Salem UMR 6085 CNRS-Universite de Rouen Avenue de l'Universite BP.12 Technopole du Madrillet F76801

The authors discuss the existence and uniqueness up to isometries of Enof immersions φ : Ω  R^n→ E^n with prescribed metric tensor field(g ij) : Ω→ S^n>, and discuss the continuity of the mapping(gij) →φ defined in this fashion with respect to various topologies. In particular, the case where the function spaces have little regularity is considered. How, in some cases, the continuity of the mapping(gij) →φ can be obtained by means of nonlinear Korn inequalities is shown.

关键词： Isometric immersions Nonlinear Korn inequalities Metric tensor

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On a Vector Version of a Fundamental Lemma of ***

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Chinese Annals of Mathematics,Series B 2018年第1期39卷 33-46页

作者： Philippe G. CIARLET Maria MALIN cristinel MARDARE Department of Mathematics City University of Hong Kong 83 Tat Chee Avenue Kowloon Hong Kong. Sorbonne Universites Universite Pierre et Marie Curie Laboratoire Jacques-Louis Lions 4 Place Jussieu 75005 Paris France

Let ? be a bounded and connected open subset of R^N with a Lipschitzcontinuous boundary,the set ? being locally on the same side of ??.A vector version of a fundamental lemma of ***,due to ***,the first author,*** and ***,asserts that any vector field v =(vi) ∈(D′(?))~N,such that all the components 1/2(?_jv_i + ?_iv_j),1 ≤ i,j ≤ N,of its symmetrized gradient matrix field are in the space H^(-1)(?),is in effect in the space(L^2(?))~*** objective of this paper is to show that this vector version of *** lemma is equivalent to a certain number of other properties of interest by *** include in particular a vector version of a well-known inequality due to ***ˇcas,weak versions of the classical Donati and Saint-Venant compatibility conditions for a matrix field to be the symmetrized gradient matrix field of a vector field,or a natural vector version of a fundamental surjectivity property of the divergence operator.

关键词： J.L.Lions lemma Neˇcas inequality Donati compatibility conditions Saint-Venant compatibility conditions

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Bistable Piezoelectric Flutter Energy Harvesting with Uncertainty

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Instrumentation 2019年第1期6卷 2-11页

作者： Farbod KHOSHNOUD Christopher R.BOWEN cristinel MARES Department of Electromechanical Engineering Technology College of EngineeringCalifornia State Polytechnic UniversityPomonaCA 91768USA Department of Mechanical Engineering University of BathBathBA27AYUK Department of Mechanical and Aerospace Engineering Brunel University LondonUxbridgeUB83PHUK

The analytical formulation of piezoelectric flutter energy harvesting using a bistable material,while considering uncertainties in the model is presented in this *** laminates provide the advantage of large deflection due to the nonlinear snap-through characteristics when exposed to external loading,and can therefore provide a suitable base for piezoelectric material in energy harvesting applications.A piezoelectric material that is bounded on the surface of bistable laminates,subjected to external loading,generates large strains and hence relatively higher electrical output energy,in comparison with the case where piezoelectric material is bonded on a regular surface,with analogous loading *** information regarding the external loading,material characteristics of the bistable laminate and the piezoelectric material,boundary conditions,and overall electrical circuit efficiency can be defined for analytical purposes,the exact model of the system is not readily *** unavoidable uncertainties in the material,loading,and efficiency of a complex system call for a probabilistic ***,this paper provides a formulation that considers uncertainty bounds in obtaining a realistic *** Uncertainty Quantification(OUQ) is used in this paper,which takes into account uncertainty measures with optimal bounds and incomplete information about the system,as a well-defined optimization problem according to maximum probabilities,subjected to the imposed *** OUQ allows the inspection of the solution for a span of uncertain input parameters,as a reliable and realistic model.

关键词： Bistable laminates piezoelectric energy harvesting flutter energy harvesting optimal uncertainty quantification self-powered systems

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Theoretical and Technological Aspects on the Inverse Structure in the Fields of High Speed Electric Machines

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Journal of Energy and Power Engineering 2012年第3期6卷 456-462页

作者： Mircea Ignat Teodora Paraschiv Ioan cristinel Haraguta National Institute for Research and Development in Electrical Engineering （INCDIE CA） Bucharest 030138 Romania National Research ＆ Development Institute for Gas Turbine Bucharest 061126 Romania

The paper presents the design and technological aspects on the high speed electrical machines which include the mechanical radial and axial strees because of the centrifugal forces. It presents a reverse structure with outlet rotor and inlet stator that have high speed 20.000 rpm-24.000 rpm and power 1 kW for the pecific of the ventilanting centrifugal fan domain. This unconventional type of machine is not still in the phase of specific tests.

关键词： Asyncrone machine cage high speed magnetic circuit mechanical stress motor reverse structure.

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关于某些不等式的一种幂级数方法

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数学译林 2012年第4期31卷 378-380页

作者： cristinel Mortici 皮新兰(译) 陆柱家(校)

这篇短文的目的是介绍一种证明和发现某些不等式的新方法．

关键词：不等式幂级数中学数学教学

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