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Multi-objective optimization of a hybrid distributed energy system using NSGA-II algorithm

Hongbo REN, Yinlong LU, Qiong WU, Xiu YANG, Aolin ZHOU

《能源前沿（英文）》 2018年第12卷第4期页码 518-528 doi: 10.1007/s11708-018-0594-7

摘要：

In this paper, a multi-objective optimization model is established for the investment plan and operation management of a hybrid distributed energy system. Considering both economic and environmental benefits, the overall annual cost and emissions of CO₂ equivalents are selected as the objective functions to be minimized. In addition, relevant constraints are included to guarantee that the optimized system is reliable to satisfy the energy demands. To solve the optimization model, the non-dominated sorting generic algorithm II (NSGA-II) is employed to derive a set of non-dominated Pareto solutions. The diversity of Pareto solutions is conserved by a crowding distance operator, and the best compromised Pareto solution is determined based on the fuzzy set theory. As an illustrative example, a hotel building is selected for study to verify the effectiveness of the optimization model and the solving algorithm. The results obtained from the numerical study indicate that the NSGA-II results in more diversified Pareto solutions and the fuzzy set theory picks out a better combination of device capacities with reasonable operating strategies.

关键词： multi-objective optimization hybrid distributed energy system non-dominated sorting generic algorithm II fuzzy set theory Pareto optimal solution

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带约束的矩阵值分布式随机优化

夏子聪,刘洋,卢文联,桂卫华

《信息与电子工程前沿（英文）》 2023年第24卷第9期页码 1239-1252 doi: 10.1631/FITEE.2200381

摘要：本文研究带有不等式约束和等式约束的矩阵值分布随机优化问题。其中，问题的目标函数是具有随机变量的多个矩阵值函数的和，并以分布式方式解决了该问题。本文推导了处理约束的惩罚方法，并提出选择可行惩罚函数和惩罚增益的原则。针对随机优化问题，提出一种基于gossip模型的分布式优化算法，并对其收敛性进行证明和分析。最后，为验证所提算法的可行性，本文提供了两个数值示例。

关键词：分布式优化矩阵值优化随机优化罚函数法 Gossip模型

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Distributed energy management for networked microgrids in a three-phase unbalanced distribution network

《能源前沿（英文）》 2023年第17卷第3期页码 446-446 doi: 10.1007/s11708-022-0851-7

摘要： Owing to increased penetration of three-phase and single-phase microgrids, distributed energy resources (DERs), and responsive loads, the maintenance of a three-phase balance by distribution networks is a significant challenge. Existing literature on distributed energy management for networked microgrids generally neglects the distribution network or employs a simplified phase balanced distribution network; thus, these evaluations are not applicable. Further, the underlying mutual coupling between the different phases of distribution feeders results in a more challenging situation. To solve this issue, this study sought to propose distributed energy management based on a three-phase unbalanced distribution network. Various three-phase or single-phase microgrids, utility-owned DERs, and responsive loads were coordinated through iteratively adjusted price signals. Based on the price signals received, the microgrid controllers (MCs) and distribution management system (DMS) updated the schedules of the DERs and responsive loads under their jurisdiction separately. The price signals were then updated according to the generation-load mismatch at each node and distributed to the corresponding MCs and DMS for the next iteration. The iteration continued until a sufficiently small generation-load mismatch was achieved at all nodes, that is, a balanced generation and load at all nodes under the agreed price signals. Considering a three-phase unbalanced distribution network, the price signals were determined per phase per node. Overall, the proposed distributed energy management coordinates microgrids, utility-owned DERs, responsive loads with guaranteed network constraints, and preserves the privacy of microgrid customers. This distributed energy management method was further demonstrated through various case studies on a three-phase networked microgrid test system.

关键词： distributed optimization energy management networked microgrids three-phase distribution network distributed energy resources

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Fuzzy stochastic long-term model with consideration of uncertainties for deployment of distributed energyresources using interactive honey bee mating optimization

Iraj AHMADIAN,Oveis ABEDINIA,Noradin GHADIMI

《能源前沿（英文）》 2014年第8卷第4期页码 412-425 doi: 10.1007/s11708-014-0315-9

摘要： This paper presents a novel modified interactive honey bee mating optimization (IHBMO) base fuzzy stochastic long-term approach for determining optimum location and size of distributed energy resources (DERs). The Monte Carlo simulation method is used to model the uncertainties associated with long-term load forecasting. A proper combination of several objectives is considered in the objective function. Reduction of loss and power purchased from the electricity market, loss reduction in peak load level and reduction in voltage deviation are considered simultaneously as the objective functions. First, these objectives are fuzzified and designed to be comparable with each other. Then, they are introduced into an IHBMO algorithm in order to obtain the solution which maximizes the value of integrated objective function. The output power of DERs is scheduled for each load level. An enhanced economic model is also proposed to justify investment on DER. An IEEE 30-bus radial distribution test system is used to illustrate the effectiveness of the proposed method.

关键词： component distributed energy resources fuzzy optimization loss reduction interactive honey bee mating optimization (IHBMO) voltage deviation reduction stochastic programming

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智能电网中分布式经济调度研究进展：综述 Review Articles

温广辉1,余星火2,刘智伟3

《信息与电子工程前沿（英文）》 2021年第22卷第1期页码 1-140 doi: 10.1631/FITEE.2000205

摘要：设计一种高效的分布式经济调度策略对具有多台发电机的智能电网具有重要意义，将使得新一代电力系统获取多种益处，如易于实施、低维护成本、高能源效率、对各种不确定性的强鲁棒性。因此，该领域吸引了来自电力工程、控制理论、应用数学等不同学科的广泛研究兴趣。本文综述智能电网分布式经济调度的理论研究最新进展，重点关注2015年以来发表的文献。系统回顾该主题的最新研究结果，并将其分为分布式离散时间和分布式连续时间经济调度算法两类。在回顾相关文献的基础上，简要介绍未来研究方向，包括智能电网的分布式安全经济调度、具有实际约束的分布式快速经济调度、高效无初值分布式经济调度、具有智能储能电池和灵活负载的分布式经济调度以及结合人工智能技术的分布式经济调度。

关键词：分布式经济调度；分布式优化；智能电网；连续时间优化算法；离散优化算法

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带多局部约束的改进push-sum框架分布式优化及其在智能电网中的应用

徐谦,俞楚天,袁翔,韦梦立,刘洪喆

《信息与电子工程前沿（英文）》 2023年第24卷第9期页码 1253-1260 doi: 10.1631/FITEE.2200596

摘要：本文研究了带,N,个非一致闭凸集约束的分布式优化问题，目的是在固定的不平衡图上设计一个相应的分布式优化算法解决该问题。为此，在改进的push-sum框架下，本文设计了新的分布式优化算法，并在强连通图的假设下给出了其严格的收敛分析。最后，仿真结果证明了所提算法的良好性能。

关键词：分布式优化非一致约束改进push-sum框架

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Multi-timescale optimization scheduling of interconnected data centers based on model predictive control

《能源前沿（英文）》 doi: 10.1007/s11708-023-0912-6

摘要： With the promotion of “dual carbon” strategy, data center (DC) access to high-penetration renewable energy sources (RESs) has become a trend in the industry. However, the uncertainty of RES poses challenges to the safe and stable operation of DCs and power grids. In this paper, a multi-timescale optimal scheduling model is established for interconnected data centers (IDCs) based on model predictive control (MPC), including day-ahead optimization, intraday rolling optimization, and intraday real-time correction. The day-ahead optimization stage aims at the lowest operating cost, the rolling optimization stage aims at the lowest intraday economic cost, and the real-time correction aims at the lowest power fluctuation, eliminating the impact of prediction errors through coordinated multi-timescale optimization. The simulation results show that the economic loss is reduced by 19.6%, and the power fluctuation is decreased by 15.23%.

关键词： model predictive control interconnected data center multi-timescale optimized scheduling distributed power supply landscape uncertainty

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Multimodal processes optimization subject to fuzzy operation time constraints: declarative modeling approach A preliminary version was presented at the 12th International Conference on Distributed Computing

Izabela NIELSEN,Robert WÓJCIK,Grzegorz BOCEWICZ,Zbigniew BANASZAK

《信息与电子工程前沿（英文）》 2016年第17卷第4期页码 338-347 doi: 10.1631/FITEE.1500359

摘要： We present an extension of the resource-constrained multi-product scheduling problem for an automated guided vehicle (AGV) served flow shop, where multiple material handling transport modes provide movement of work pieces between machining centers in the multimodal transportation network (MTN). The multimodal processes behind the multi-product production flow executed in an MTN can be seen as processes realized by using various local periodically functioning processes. The considered network of repetitively acting local transportation modes encompassing MTN’s structure provides a framework for multimodal processes scheduling treated in terms of optimization of the AGVs fleet scheduling problem subject to fuzzy operation time constraints. In the considered case, both production takt and operation execution time are described by imprecise data. The aim of the paper is to present a constraint propagation (CP) driven approach to multi-robot task allocation providing a prompt service to a set of routine queries stated in both direct and reverse way. Illustrative examples taking into account an uncertain specification of robots and workers operation time are provided.

关键词： Automated guided vehicles (AGVs) Scheduling Multimodal process Fuzzy constraints Optimization

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一种基于数字孪生云平台的炼铁过程智能优化服务 Article

周恒, 杨春节, 孙优贤

《工程（英文）》 2021年第7卷第9期页码 1274-1281 doi: 10.1016/j.eng.2021.04.022

摘要：

工业过程多目标优化研究因算法和设备的不完善，已经大幅限制了工业过程的智能化发展。为了提升流程工业过程的操作水平，本文提出了一种基于云服务平台和分布式系统的混合智能优化框架。在这个智能优化系统中，工业实时数据首先暂存于本地服务器，经过清洗整理后上传至云数据库中；然后在可拓展的云平台上部署分布式系统用于运行智能优化算法；最后将基于深度学习和进化算法的多目标混合优化算法打包上传至云计算平台。通过将多目标优化服务运行于数字孪生云上工厂，钢铁厂高炉铁水产量增加了83.91 t·d^﹣1，焦炭比降低了13.50 kg·t^﹣1，硅含量平均降低了0.047%。

关键词：云上工厂高炉炼铁多目标优化分布式系统

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基于梯度跟踪和分布式重球加速的分布式随机优化算法 Research Articles

孙碧皓1,胡锦辉1,夏大文2,李华青1

《信息与电子工程前沿（英文）》 2021年第22卷第11期页码 1463-1476 doi: 10.1631/FITEE.2000615

摘要：由于在机器学习和信号处理中的广泛应用，近年来分布式优化得到良好发展。本文致力于研究分布式优化以求解目标函数全局最小值。该目标是分布在个节点的无向网络上的平滑且强凸的局部成本函数总和。与已有工作不同的是，我们使用分布式重球项以提高算法的收敛性能。为使现有分布式随机一阶梯度算法的收敛加速，将动量项与梯度跟踪技术结合。仿真结果表明，在不增加复杂度的情况下，所提算法具有比GT-SAGA更高收敛速率。在真实数据集上的数值实验证明了该算法的有效性和正确性。

关键词：分布式优化；高性能算法；多智能体系统；机器学习问题；随机梯度

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基于渐进式蚁群优化的多处理器任务分配 Article

Hamid Reza BOVEIRI

《信息与电子工程前沿（英文）》 2017年第18卷第4期页码 498-510 doi: 10.1631/FITEE.1500394

摘要：任务调度优化是多处理器环境（如并行和分布式系统）取得良好性能所面临的最重要挑战之一。目前大多数任务调度算法基于列表调度法，该方法的基本思路是，以列表的形式准备一系列待调度的节点，赋予这些节点不同优先级，然后不断去除列表中优先级最高的节点，并将其分配给具有最早开始时间（Earliest start time, EST）的处理器。由此可见，该算法的完成时间主要由两大因素决定：（1）任务分配顺序的选择（次序子问题）；（2）选定顺序的任务如何分配给处理器（分配子问题）。已有文献提出了许多解决次序子问题的好办法，但分配子问题少有人涉及。本文研究结果显示：传统的按照最早开始时间分配任务的方法并非最优；基于蚁群优化算法，得到一种新的方法，可以获得高效得多的调度方案。

关键词：蚁群优化；列表调度；多处理器任务图调度；并行与分布式系统

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Organizational dynamics in adaptive distributed search processes: effects on performance and the role

Friederike WALL

《信息与电子工程前沿（英文）》 2016年第17卷第4期页码 283-295 doi: 10.1631/FITEE.1500306

摘要： In this paper, the effects of altering the organizational setting of distributed adaptive search processes in the course of search are investigated. We put particular emphasis on the complexity of interactions between partial search problems assigned to search agents. Employing an agent-based simulation based on the framework of NK landscapes we analyze different temporal change modes of the organizational set-up. The organizational properties under change include, for example, the coordination mechanisms among search agents. Results suggest that inducing organizational dynamics has the potential to increase the effectiveness of distributed adaptive search processes with respect to various performance measures like the final performance achieved at the end of the search, the chance to find the optimal solution of the search problem, or the average performance per period achieved during the search process. However, results also indicate that the mode of temporal change in conjunction with the complexity of the search problem considerably affects the order of magnitude of these beneficial effects. In particular, results suggest that organizational dynamics induces a shift towards more exploration, i.e., discovery of new areas in the fitness landscape, and less exploitation, i.e., stepwise improvement.

关键词： Agent-based simulation Complexity Coordination Distributed search NK landscapes

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Data-driven distribution network topology identification considering correlated generation power of distributed

《能源前沿（英文）》 2022年第16卷第1期页码 121-129 doi: 10.1007/s11708-021-0780-x

摘要： This paper proposes a data-driven topology identification method for distribution systems with distributed energy resources (DERs). First, a neural network is trained to depict the relationship between nodal power injections and voltage magnitude measurements, and then it is used to generate synthetic measurements under independent nodal power injections, thus eliminating the influence of correlated nodal power injections on topology identification. Second, a maximal information coefficient-based maximum spanning tree algorithm is developed to obtain the network topology by evaluating the dependence among the synthetic measurements. The proposed method is tested on different distribution networks and the simulation results are compared with those of other methods to validate the effectiveness of the proposed method.

关键词： power distribution network data-driven topology identification distributed energy resource maximal information coefficient

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DoS攻击下信息物理电网系统的弹性分布式经济调度 Research Articles

杨飞生1,2,梁旭辉2,管晓宏1

《信息与电子工程前沿（英文）》 2021年第22卷第1期页码 1-140 doi: 10.1631/FITEE.2000201

摘要：本文研究焦点是恶意拒绝服务（DoS）攻击下智能电网经济调度问题。以发电实际情况为出发点，建立考虑环境污染代价的新型分布式优化模型。为节省有限的带宽资源，提出一种新的分布式事件触发方案，以在通信网络遭受恶意DoS攻击时保持信息物理电网系统的弹性和经济性。然后，根据梯度下降算法设计一种多智能体一致性协议解决最小化问题，并从最优性和稳定性角度分析系统发电成本最小化的前提。最后，通过单区域10发电机组模拟实验验证了理论结果。

关键词：经济调度；拒绝服务（DoS）攻击；弹性事件触发方案；分布式优化

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具有外部干扰和障碍物的无人机编队分布式博弈策略 Research Article

袁洋1,邓亦敏1,罗斯达2,段海滨1,3

《信息与电子工程前沿（英文）》 2022年第23卷第7期页码 1020-1031 doi: 10.1631/FITEE.2100559

摘要：本文研究了具有外部干扰和障碍物的无人机编队分布式博弈策略，该策略基于分布式模型预测控制（MPC）框架和基于Levy飞行的鸽群优化算法（LFPIO）。首先，提出一种非奇异快速终端滑模观测器（NFTSMO）估计无人机受扰动的影响，并利用Lyapunov函数证明该观测器在固定时间内收敛。其次，设计一种基于拓扑重构的避障策略，使无人机能够以较小能量消耗安全通过障碍物。然后，建立一个分布式MPC框架，该框架中每架无人机仅与邻居交换消息，通过设计分布式MPC代价函数，将无人机编队问题转化为博弈问题，并利用基于Levy飞行的鸽群优化算法求解纳什均衡。最后，利用数值仿真对比实验验证所提策略的有效性。

关键词：分布式博弈策略；无人机；分布式模型预测控制；基于Levy飞行的鸽群优化算法；非奇异快速终端滑模观测器；避障策略

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标题作者时间类型操作

Multi-objective optimization of a hybrid distributed energy system using NSGA-II algorithm

Hongbo REN, Yinlong LU, Qiong WU, Xiu YANG, Aolin ZHOU

期刊论文

带约束的矩阵值分布式随机优化

夏子聪,刘洋,卢文联,桂卫华

期刊论文

Distributed energy management for networked microgrids in a three-phase unbalanced distribution network

期刊论文

Fuzzy stochastic long-term model with consideration of uncertainties for deployment of distributed energyresources using interactive honey bee mating optimization

Iraj AHMADIAN,Oveis ABEDINIA,Noradin GHADIMI

期刊论文

智能电网中分布式经济调度研究进展：综述

温广辉1,余星火2,刘智伟3

期刊论文

带多局部约束的改进push-sum框架分布式优化及其在智能电网中的应用

徐谦,俞楚天,袁翔,韦梦立,刘洪喆

期刊论文

Multi-timescale optimization scheduling of interconnected data centers based on model predictive control

期刊论文

Izabela NIELSEN,Robert WÓJCIK,Grzegorz BOCEWICZ,Zbigniew BANASZAK

期刊论文