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Real-time reactive power distribution in microgrids by dynamic programing

IET GENERATION TRANSMISSION & DISTRIBUTION 2017年第2期11卷 530-539页

作者： Levron, Yoash Beck, Yuval Katzir, Liran Guerrero, Josep M. Technion Israel Inst Technol Dept Elect Engn Haifa Israel Holon Inst Technol Fac Engn 52 Golumbst Holon Israel Tel Aviv Univ Fac Engn Haim Levanon St Tel Aviv Israel Aalborg Univ Inst Energy Technol DK-9220 Aalborg Denmark

In this study, a new real-time optimisation method for reactive power distribution in microgrids is proposed. The method enables location of a globally optimal distribution of reactive power under normal operating conditions. The method exploits the typical compact structure of microgrids to obtain a solution by parts, using the dynamic programming method and Bellman equation. The proposed solution method is based on the fact that the microgrid is designed with a central feeder line to which clusters of generators and loads are connected, and is suitable for microgrids with ring topologies as well as radial ones. The optimisation problem is formulated with the cluster reactive powers as free variables, and the solution space is spanned by the cluster reactive power outputs. The optimal solution is then constructed by efficiently scanning the entire solution space, by testing every possible combination of reactive powers, using dynamic programming. Since every single step involves a one-dimensional problem, the complexity of the solution is only linear with the number of clusters, and as a result, a globally optimal solution may be obtained in real time. The study includes the results of two test-case networks.

关键词： dynamic programming distributed power generation real-time reactive power distribution microgrids real-time optimisation method globally optimal distribution dynamic programming method Bellman equation central feeder line ring topology cluster reactive power outputs one-dimensional problem

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Reliable transmission scheduling for multi-channel wireless sensor networks with low-cost channel estimation

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IET COMMUNICATIONS 2013年第1期7卷 71-81页

作者： Zhang, Xiaoling Liang, Wei Yu, Haibin Feng, Xisheng Chinese Acad Sci Shenyang Inst Automat Shenyang Liaoning 110016 Peoples R China

The shared-medium nature and complex wireless environment of wireless sensor networks (WSNs) poses fundamental challenges to the design of effective transmission scheduling algorithms that are optimised with respect to superframe length and reliability. In this study, the authors propose an adaptive and reliable transmission scheduling algorithm for WSNs based on low-cost estimation of channel states. The authors establish a hierarchical scheduling framework on global centralised timeslot scheduling and local distributed channel scheduling. On the one hand, global centralised timeslot scheduling aims to guarantee global optimality of resource allocation, during which a mathematical reliability model is built to avoid resource waste by the stationary allocation method and improve the reliability of packet transmission. On the other hand, local distributed channel scheduling shares the responsibility of resource allocation. During channel scheduling, the channel model is constructed by the dynamic programming method and takes both probing cost and channel quality into consideration, which alleviates the uncertain and time-varying interference and overcomes the blindness of traditional methods. In contrast with previous works that do not consider link reliability and channel probing cost and often assume two channel states, the scheduling algorithm performs reliably for an arbitrary number of channels and arbitrary number of channel states. Extensive simulations and experiments under a variety of network environments have been conducted to validate our theoretical claims.

关键词： channel allocation channel estimation dynamic programming mathematical analysis radiofrequency interference resource allocation scheduling telecommunication network reliability time-varying channels wireless channels wireless sensor networks reliable transmission scheduling algorithm multichannel wireless sensor network low-cost channel estimation shared-medium nature wireless environment complex wireless environment WSN global centralised timeslot scheduling local distributed channel scheduling resource allocation mathematical reliability model resource waste avoidance stationary allocation method packet transmission reliability dynamic programming method time-varying interference link reliability channel probing cost

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A dynamic programming approach to a consumption/investment and retirement choice problem under borrowing constraints

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JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 2017年第3期34卷 793-809页

作者： Lee, Ho-Seok Koo, Byung Lim Shin, Yong Hyun Kwangwoon Univ Dept Math Seoul 01897 South Korea Univ Texas Austin Sch Law Austin TX 78705 USA Sookmyung Womens Univ Dept Math Seoul 04310 South Korea

In this paper we consider an optimization problem of an infinitely lived working agent with an option to retire who maximizes the utility from her lifetime consumption. The agent receives labor income during the period before her voluntary retirement, but suffers disutility from labor. Moreover, the agent lacks the means to borrow against her future labor income. We use the dynamic programming approach to derive the closed-form solutions and provide some numerical illustrations.

关键词： Borrowing constraints dynamic programming method Leisure Portfolio selection Labor income and disutility

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Optimal control for networked control systems with disturbances: a delta operator approach

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IET CONTROL THEORY AND APPLICATIONS 2017年第9期11卷 1325-1332页

作者： Yuan, Yuan Yuan, Huanhuan Wang, Zidong Guo, Lei Yang, Hongjiu Brunel Univ London Dept Comp Sci Uxbridge UB8 3PH Middx England Beijing Inst Technol Sch Automat Beijing 100081 Peoples R China King Abdulaziz Univ Fac Engn Jeddah 21589 Saudi Arabia Beihang Univ Sch Automat Sci & Elect Engn Beijing 100191 Peoples R China Yanshan Univ Inst Elect Engn Qinhuangdao 066004 Peoples R China

This study deals with the optimal control problem for a class of delta-domain networked control systems (NCSs) subjected to both matched and unmatched disturbances. In the presence of the disturbances, the so-called epsilon-optimum is proposed to quantify the control performance. The purpose of the addressed problem is to design the optimal control strategy such that the cost function is minimised over the finite-/infinite-horizon under the network-induced constraints. In virtue of the dynamic programming method, sufficient conditions are established to guarantee the existence of the desired control strategies, and the controller parameters are designed. For the obtained optimal control strategy, an upper bound for the epsilon-optimum is provided explicitly, and convex optimisation algorithms are given to compute such upper bound. Both simulation and experimental results are provided to illustrate the usefulness and applicability of the proposed methods.

关键词： optimal control networked control systems control system synthesis dynamic programming convex programming multivariable control systems delta operator approach optimal control problem delta-domain networked control systems NCS optimal control strategy network induced constraints dynamic programming method controller parameters convex optimisation algorithms

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Automated retinal layer segmentation in OCT images of age-related macular degeneration

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IET IMAGE PROCESSING 2019年第11期13卷 1824-1834页

作者： Chen, Zailiang Li, Dabao Shen, Hailan Mo, Yufang Wei, Hao Ouyang, Pingbo Cent S Univ Sch Informat Sci & Engn Changsha 410083 Hunan Peoples R China Minist Educ & China Mobile Joint Lab Mobile Hlth Changsha 410083 Hunan Peoples R China Cent S Univ Xiangya Hosp 2 Changsha 410011 Hunan Peoples R China

Age-related macular degeneration (AMD) is a common eye disease that causes progressive degeneration of the central vision. The presence of abundant drusen is a common early feature of AMD. Optical coherence tomography (OCT) can provide detailed structure information on drusen. The physiological structure of the retinal epithelium and drusen complex (RPEDC) and the Bruch's membrane (BM) layer boundaries will be influenced by the presence of drusen with AMD. Therefore, drusen quantification is important to diagnose and cure AMD. The authors proposed an automatic method to segment the inner limiting membrane, the retinal pigment epithelium and drusen complex (RPEDC) and BM layer boundaries from OCT images with AMD (termed as deep forest for layer segmentation (DF-LS)). In their method, image patches are extracted and used to train a deep-forest model to predict three boundary probability maps. In addition, they modify grapy theory and dynamic programming method to find the layer boundary. Finally, the layer boundary is smoothed by using a smoothing operation. The proposed DF-LS method is evaluated on three publicly available datasets (one healthy dataset and two AMD dataset). The proposed DF-LS method can yield superior mean unsigned error with an average error of 0.81 pixel on Tian et al.'s dataset, and 1.35, 1.23 pixel on Chiu et al.'s and Farisu et al.'s dataset, respectively.

关键词： image segmentation medical image processing optical tomography diseases eye vision defects biomedical optical imaging dynamic programming graph theory feature extraction automated retinal layer segmentation OCT images age-related macular degeneration common eye disease progressive degeneration abundant drusen optical coherence tomography physiological structure retinal epithelium drusen quantification automatic method BM layer boundaries image patches boundary probability maps dynamic programming method layer boundary DF-LS method AMD dataset Bruch membrane inner limiting membrane deep-forest model graph theory

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Bilateral Estimation of the Bellman Function in the Problems of Optimal Stochastic Control of Discrete Systems by the Probabilistic Performance Criterion

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AUTOMATION AND REMOTE CONTROL 2018年第2期79卷 203-215页

作者： Azanov, V. M. Kan, Yu S. Moscow Aviat Inst Natl State Univ Moscow Russia

Consideration was given to the optimal control of discrete stochastic systems by the probabilistic quality criterion. The new characteristics of the Bellman equation for this class of problems were examined, and the two-sided estimate of the Bellman function was determined. The problem of optimal control of the security portfolio with one riskless and a given number of risk assets was considered by way of example. The class of strategies featuring asymptotic optimality was established using the two-sided estimate of the Bellman function.

关键词： optimal stochastic control probabilistic criterion discrete systems dynamic programming method

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Optimal control for discrete and continuous stochastic descriptor systems with application to a factory management model

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INTERNATIONAL JOURNAL OF CONTROL 2023年第5期96卷 1227-1244页

作者： Shu, Yadong Li, Bo Nanjing Univ Informat Sci & Technol Sch Math & Stat Nanjing 21004 Peoples R China Nanjing Univ Finance & Econ Sch Appl Math Nanjing Peoples R China

In this paper, optimal control models ruled by discrete and continuous stochastic descriptor systems are investigated in order. These descriptor systems are assumed to be regular and impulse-free. For settling discrete optimal control problems, a recurrence equation is proposed with the help of dynamic programming method. Then, optimal control problems for two types of discrete stochastic descriptor systems are considered and optimal solutions are presented by analytical expressions. To simplify continuous optimal control problems, an equation of optimality is derived according to the principle of optimality, and it reveals the essential connection between optimal value and optimal control. Two numerical examples and a factory management model are provided to illustrate the validness of above results.

关键词： Optimal control stochastic descriptor systems dynamic programming method recurrence equation equation of optimality

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Combined dynamic programming and region-elimination technique algorithm for optimal sizing and management of lithium-ion batteries for photovoltaic plants

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APPLIED ENERGY 2018年第Oct.15 Pt.1/1090期228卷 1-11页

作者： Berrueta, Alberto Heck, Michael Jantsch, Martin Ursua, Alfredo Sanchis, Pablo Univ Publ Navarra Dept Elect & Elect Engn Inst Smart Cities Campus Arrosadia Pamplona 31006 Spain Fraunhofer Inst Solar Energy Syst ISE Heidenhofstr 2 D-79110 Freiburg Germany

The unpredictable nature of renewable energies is drawing attention to lithium-ion batteries. In order to make full utilization of these batteries, some research works are focused on the management of existing systems, while others propose sizing techniques based on business models. However, in order to optimise the global system, a comprehensive methodology that considers both battery sizing and management at the same time is needed. This paper proposes a new optimisation algorithm based on a combination of dynamic programming and a region elimination technique that makes it possible to address both problems at the same time. This is of great interest, since the optimal size of the storage system depends on the management strategy and, in turn, the design of this strategy needs to take account of the battery size. The method is applied to a real installation consisting of a 100 kWp rooftop photovoltaic plant and a Li-ion battery system connected to a grid with variable electricity price. Results show that, unlike conventional optimisation methods, the proposed algorithm reaches an optimised energy dispatch plan that leads to a higher net present value. Finally, the tool is used to provide a sensitivity analysis that identifies key informative variables for decision makers.

关键词： Energy storage system Lithium-ion battery Optimal energy dispatch scheduling dynamic programming method Energy arbitrage Renewable energy

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An Optimal Consumption and Investment Problem with Quadratic Utility and Subsistence Consumption Constraints: A dynamic programming Approach

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MATHEMATICAL MODELLING AND ANALYSIS 2018年第4期23卷 627-638页

作者： Shin, Yong Hyun Koo, Jung Lim Roh, Kum-Hwan Sookmyung Womens Univ Dept Math Seoul 04310 South Korea Sookmyung Womens Univ Res Inst Nat Sci Seoul 04310 South Korea Univ Texas Austin Sch Law Austin TX 78705 USA Hannam Univ Dept Math Daejeon 34430 South Korea

In this paper, we analyze the optimal consumption and investment problem of an agent who has a quadratic-type utility function and faces a subsistence consumption constraint. We use the dynamic programming method to solve the optimization problem in continuous-time. We further provide the sufficient conditions for the optimization problem to be well-defined.

关键词： portfolio selection quadratic utility subsistence consumption constraints dynamic programming method

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Viscosity Solutions for a System of Integro-PDEs and Connections to Optimal Switching and Control of Jump-Diffusion Processes

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APPLIED MATHEMATICS AND OPTIMIZATION 2010年第1期62卷 47-80页

作者： Biswas, Imran H. Jakobsen, Espen R. Karlsen, Kenneth H. Swiss Fed Inst Technol D MATH Seminar Angew Math CH-8092 Zurich Switzerland Norwegian Univ Sci & Technol N-7491 Trondheim Norway Univ Oslo Ctr Math Applicat N-0316 Oslo Norway

We develop a viscosity solution theory for a system of nonlinear degenerate parabolic integro-partial differential equations (IPDEs) related to stochastic optimal switching and control problems or stochastic games. In the case of stochastic optimal switching and control, we prove via dynamic programming methods that the value function is a viscosity solution of the IPDEs. In our setting the value functions or the solutions of the IPDEs are not smooth, so classical verification theorems do not apply.

关键词： Integro-partial differential equations dynamic programming method Viscosity solutions Optimal stochastic control and switching Levy processes

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