OPTIMUM ENERGY FOR ENERGY PACKET NETWORKS. Issue 4 (9th April 2017)

• Record Type: Journal Article
• Authors: Yin, Yonghua
• Is Part Of: Probability in the engineering and informational sciences. Volume 31:Issue 4(2017)
• Page Start: 516
• Page End: 539
• Publication Date: 2017-04-09
• Subjects: queueing theory, -- stochastic modeling; Probabilities -- Periodicals; Engineering -- Statistical methods -- Periodicals; Information science -- Statistical methods -- Periodicals; 519.202462
• DOI: 10.1017/S0269964817000067
• Languages: English
• ISSNs: 0269-9648

Abstract

Abstract : The concept of Energy Packet Network (EPN) proposed by Gelenbe, is a new framework for modeling power grids that takes distributed energy generation such as renewable energy sources into consideration, and which contributes to modeling the smart grid. Based on G-network theory, this paper presents a simplified model of EPN and formulates energy-distribution as an optimization problem. We analyze it theoretically, and detail its optimal solutions. In addition to using existing optimization algorithms, a heuristic algorithm is proposed to solve for EPN optimization. The optimal solutions and efficacy of the algorithm are illustrated with numerical experiments. Further, we present an EPN with disconnections and a similar optimization problem is investigated. Optimal solutions are presented, and numerical results using the analytic optimal solutions, random solutions, a cooperative particle swarm optimizer and a heuristic algorithm illustrate the power of different approaches for solving energy-distribution problems using the EPN formalism.