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Search Results (307)

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Keywords = multi-objective dispatch

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20 pages, 1409 KB  
Article
A Two-Layer Rolling Optimization Method for Traction Power Supply Systems Based on Model Predictive Control
by Hongbo Cheng, Qiang Gao, Shouxing Wan, Jinqing Xu and Xing Wang
Energies 2026, 19(7), 1751; https://doi.org/10.3390/en19071751 - 2 Apr 2026
Viewed by 277
Abstract
With the integration of renewable energy into traction power supply systems at a high proportion and penetration level, the intermittency and randomness of renewable energy output significantly intensify the fluctuation characteristics of traction loads, posing severe challenges to the stable operation and precise [...] Read more.
With the integration of renewable energy into traction power supply systems at a high proportion and penetration level, the intermittency and randomness of renewable energy output significantly intensify the fluctuation characteristics of traction loads, posing severe challenges to the stable operation and precise dispatch of the system. To effectively address the dynamic tracking and anti-disturbance issues arising from the dual uncertainties of source and load, this paper proposes a dual-timescale two-layer optimization dispatch strategy based on Model Predictive Control (MPC). In the upper-layer optimization, with the objective of optimal system economic operation, a multi-step rolling optimization method is adopted to formulate a long-timescale baseline dispatch plan, fully considering the temporal correlation of photovoltaic and wind power outputs and the periodic characteristics of traction loads. In the lower-layer optimization, aimed at smoothing power fluctuations and correcting prediction deviations, the technical advantages of supercapacitors—high power density and fast response—are utilized to perform real-time tracking and dynamic compensation of the upper-layer baseline plan. This effectively reduces the impact of prediction errors on control accuracy, achieves smooth control of tie-line power, and enhances overall system stability. Case study results based on an actual railway traction power supply system demonstrate that the proposed method can fully leverage the coordinated and complementary characteristics of the hybrid energy storage system, effectively suppress power fluctuations from renewable energy output and traction loads, and achieve economic operation objectives while ensuring system disturbance rejection performance, thereby validating the effectiveness and practicality of the strategy. Full article
(This article belongs to the Special Issue Recent Advances in Design and Verification of Power Electronics)
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32 pages, 1753 KB  
Article
Advancing Sustainable Development Goals Through Intelligent Port Logistics: A Multi-Objective Optimization Framework for Social, Environmental, and Economic Sustainability
by Shucheng Fan and Shaochuan Fu
Sustainability 2026, 18(7), 3440; https://doi.org/10.3390/su18073440 - 1 Apr 2026
Viewed by 230
Abstract
This study develops a multi-objective optimization framework for sustainable container truck dispatching in port logistics, addressing the limited joint consideration of environmental compliance, worker-sensitive assignment, and operational efficiency in traditional dispatching practice. The problem is formulated as a constrained assignment-and-scheduling model under time-window, [...] Read more.
This study develops a multi-objective optimization framework for sustainable container truck dispatching in port logistics, addressing the limited joint consideration of environmental compliance, worker-sensitive assignment, and operational efficiency in traditional dispatching practice. The problem is formulated as a constrained assignment-and-scheduling model under time-window, compliance, capacity, and service requirements. To balance optimality and real-time responsiveness, a dual-path solution strategy is proposed, combining a mixed-integer linear programming (MILP) model for small-scale instances with a Priority-Based Constructive Heuristic with Conflict Resolution (PBCH-CR) for medium-to-large-scale scenarios. Computational experiments on scenario-based synthetic instances calibrated to empirical port-operation distributions show that PBCH-CR maintains 100% environmental compliance for assigned orders, improves familiarity-oriented matching relative to the FCFS baseline, and sustains strong emergency-response performance within sub-minute computation times. Sensitivity analysis further shows that improving urgency-oriented performance entails a reduction in freight-revenue-oriented performance. Overall, the framework provides a practical approach to balancing environmental compliance, operational efficiency, and worker-sensitive dispatching, with relevance to Sustainable Development Goals 11 and 13 and to SDG 8-related objectives. Full article
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20 pages, 2671 KB  
Article
Two-Stage Prediction of Snowplow Dozer Operation Counts from GPS Data: A Case Study of Akita City, Japan
by Akane Yamashita, Hiroshi Yokoyama and Yoichi Kageyama
Modelling 2026, 7(2), 67; https://doi.org/10.3390/modelling7020067 - 29 Mar 2026
Viewed by 210
Abstract
For effective winter road management in snow-prone regions, timely snow removal that reflects weather and traffic conditions is required. In Akita City, Japan, city hall staff measure snow depth and dispatch contracted snow removal crews only when a predefined threshold is exceeded. Consequently, [...] Read more.
For effective winter road management in snow-prone regions, timely snow removal that reflects weather and traffic conditions is required. In Akita City, Japan, city hall staff measure snow depth and dispatch contracted snow removal crews only when a predefined threshold is exceeded. Consequently, dispatch decisions depend heavily on staff experience. This study demonstrates objective, experience-independent dispatching based on predicting the number of snowplow dozers in operation, thereby reducing the municipal decision burden and improving contractor efficiency. The target variable is highly imbalanced, with long non-operational periods and wide variations in the number of deployed units during snowfall events. When trained directly on such data, models tend to regress toward near-median values and face difficulty capturing operational dynamics. To address this issue, we propose a two-stage framework: firstly, a classifier predicts whether snow removal operations will occur; secondly, a regressor estimates the number of operating dozers based on the operation. We further integrate multi-year datasets to enhance generalization across diverse snow conditions. Experiments showed that the proposed approach achieved an AUPRC of 0.84 for operation occurrence and an RMSE of 1.85 for dozer-count estimation, outperforming models trained on a single year. Full article
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29 pages, 4475 KB  
Article
Seamless Task Scheduling for Vehicle-Crane Coordination in Container Terminals: A Spatio-Temporal Optimization Approach
by Xingyu Wang, Xiangwei Liu, Jintao Lai, Weimeng Lin, Qiang Ling, Yang Shen, Ning Zhao and Jia Hu
J. Mar. Sci. Eng. 2026, 14(7), 614; https://doi.org/10.3390/jmse14070614 - 26 Mar 2026
Viewed by 228
Abstract
Task scheduling for vehicle–crane coordination is crucial for the operational efficiency of electrified automated container terminals (ACTs). However, under fully shared dispatching, existing studies rarely capture how charging-induced capacity fluctuations disrupt bidirectional service–arrival matching and propagate service-window shifts. To address this gap, this [...] Read more.
Task scheduling for vehicle–crane coordination is crucial for the operational efficiency of electrified automated container terminals (ACTs). However, under fully shared dispatching, existing studies rarely capture how charging-induced capacity fluctuations disrupt bidirectional service–arrival matching and propagate service-window shifts. To address this gap, this study proposes a comprehensive spatio-temporal optimization approach. Firstly, a bi-objective model is established to minimize service–arrival mismatch and vehicle energy consumption under state-of-charge (SOC) and charger-capacity constraints, explicitly quantifying vehicle–crane alignment at both handling interfaces. Secondly, an enhanced multi-objective algorithm (ST-NSGA-II) is developed, integrating a feasibility-preserving recursive decoding mechanism and a spatio-temporal variable neighborhood search (VNS) procedure. Finally, numerical experiments demonstrate that ST-NSGA-II significantly reduces mismatch and energy consumption compared to standard NSGA-II in large-scale scenarios. It also outperforms MOEA/D in Pareto-set quality, yielding a higher hypervolume (1.301 vs. 0.960) and a lower Spacing value (0.102 vs. 0.185). The results demonstrate that the proposed spatio-temporal optimization approach can effectively reduce handover mismatch compared to conventional scheduling modes, thereby achieving seamless task scheduling for vehicle–crane coordination. Full article
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24 pages, 3314 KB  
Article
Research on the Steel Enterprise Gas–Steam–Electricity Network Hybrid Scheduling Model for Multi-Objective Optimization
by Gang Sheng, Yanguang Sun, Kai Feng, Lingzhi Yang and Beiping Xu
Processes 2026, 14(7), 1030; https://doi.org/10.3390/pr14071030 - 24 Mar 2026
Viewed by 238
Abstract
The operation of the gas–steam–electricity multi-energy coupling system in iron and steel enterprises faces critical challenges: conflicts between energy efficiency and economic objectives, insufficient scheduling accuracy, and low energy utilization caused by source–load fluctuations. To address these issues, this paper proposes a hybrid [...] Read more.
The operation of the gas–steam–electricity multi-energy coupling system in iron and steel enterprises faces critical challenges: conflicts between energy efficiency and economic objectives, insufficient scheduling accuracy, and low energy utilization caused by source–load fluctuations. To address these issues, this paper proposes a hybrid scheduling model based on condition awareness and multi-objective optimization. The model integrates three key components. First, an energy fluctuation prediction technology based on working condition changes is developed. By acquiring real-time production signals and gas flow data, combined with a condition definition management module, it enables automatic identification and tracking of equipment operation status. A working condition sample curve superposition method is used to calculate energy medium imbalances, generating visual prediction curves for key parameters such as blast furnace, coke oven, and converter gas holder levels, achieving an average prediction accuracy of ≥95%. Second, a peak-shifting and valley-filling scheduling model for gas holders is designed, leveraging time-of-use electricity prices. During valley price periods, power purchases are increased and surplus gas is stored; during peak price periods, gas power generation is increased to reduce purchased electricity. A nonlinear model capturing the load–efficiency relationship of boilers and generators is established to dynamically optimize scheduling strategies. This reduces the proportion of peak hour power purchases by 10.3%, energy costs by 3.12%, and system energy consumption by 2.16%. Third, a multi-period and multi-medium energy optimization scheduling model is formulated as a mixed-integer nonlinear programming (MINLP) problem, with dual objectives of minimizing operating cost and energy consumption. Constraints include energy supply–demand balance, equipment operating limits, gas holder capacity, and generator ramp rates. The Pareto optimal solution set is obtained using the AUGMECON2 method and efficiently computed with the IPOPT solver. Application results demonstrate that the model achieves zero gas emissions, a dispatching instruction accuracy of 95%, and a 0.8% increase in the proportion of peak–valley-level self-generated power, outperforming comparable technologies. It provides technical support for the safe, efficient, and economic operation of multi-energy systems in iron and steel enterprises. Full article
(This article belongs to the Special Issue Advanced Ladle Metallurgy and Secondary Refining)
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27 pages, 3012 KB  
Article
Emergency Operation Scheme Generation for Urban Rail Transit Train Door Systems Using Retrieval-Augmented Large Language Models
by Lu Huang, Zhigang Liu, Chengcheng Yu, Tianliang Zhu and Bing Yan
Sensors 2026, 26(6), 2006; https://doi.org/10.3390/s26062006 - 23 Mar 2026
Viewed by 457
Abstract
Urban rail transit (URT) train-door failures are safety-critical and can cause cascading service disruptions, yet existing emergency operation schemes (EOSs) are often static, difficult to adapt to evolving fault patterns, and hard to verify against updated regulations. This study proposes a retrieval-augmented large [...] Read more.
Urban rail transit (URT) train-door failures are safety-critical and can cause cascading service disruptions, yet existing emergency operation schemes (EOSs) are often static, difficult to adapt to evolving fault patterns, and hard to verify against updated regulations. This study proposes a retrieval-augmented large language model (LLM) framework for executable and evidence-traceable EOS generation. Multi-source heterogeneous incident evidence (structured work orders, operational impact records, and unstructured maintenance/dispatch narratives) is normalized into a structured incident representation, and a hybrid retriever (dense + BM25) with cross-encoder reranking selects compact regulatory clauses and historical cases under a fixed context budget. The generator is fine-tuned with structured objectives to enforce schema compliance, role assignment, and citation grounding. Experiments on 776 passenger-door incidents from Shanghai URT (2019–2024) show that Hybrid + rerank achieves the best retrieval quality (Recall@5 = 0.78; Coverage@B = 0.71; FirstHit/B = 0.46). For generation, the full setting improves operational usability, reaching SchemaPass = 0.88, RoleAcc = 0.91, CiteCov = 0.73, and UsableAns = 0.83, compared with 0.15 UsableAns for a pure LLM baseline and 0.26 for prompting with RAG only. These results indicate that combining high-utility retrieval with structure- and citation-aware fine-tuning substantially improves the executability and verifiability of safety-critical operation schemes. Full article
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25 pages, 2056 KB  
Article
Game Theory and Optimal Planning Strategy for Electricity Heat Multiple Heterogeneous Energy Systems Based on Deep Temporal Clustering Method
by Zhipeng Lu, Yuejiao Wang, Pu Zhao, Song Yang, Yu Zhang, Nan Yang and Lei Zhang
Processes 2026, 14(6), 1016; https://doi.org/10.3390/pr14061016 - 22 Mar 2026
Viewed by 253
Abstract
With the continuous increase in the penetration rate of renewable energy sources, the uncertainty of new energy output has brought significant risks and challenges to the planning strategy of integrated energy systems. Meanwhile, power grid operators and heat network operators, belonging to different [...] Read more.
With the continuous increase in the penetration rate of renewable energy sources, the uncertainty of new energy output has brought significant risks and challenges to the planning strategy of integrated energy systems. Meanwhile, power grid operators and heat network operators, belonging to different stakeholder entities, exhibit complex cooperative-competitive game relationships, making it difficult to balance the interests of all parties. To address this issue, this paper proposes a game theory and optimal planning strategy for electricity-heat multiple heterogeneous energy systems based on a deep temporal clustering method from the perspective of different stakeholders. Firstly, typical scenarios of renewable energy output are generated through the deep temporal clustering method. Simultaneously, the charging and discharging behaviors of energy storage devices are utilized to assist the distribution system in new energy consumption. This paper incorporates battery life degradation costs into the objective function on the power grid side to achieve accurate accounting of energy storage device dispatch expenses. Additionally, an optimal dispatch model is established on the heat network side, upon which a game framework for multiple heterogeneous energy systems is constructed. The construction capacity and installation location of each flexible device can be determined through planning decisions in typical multi-scenario situations. Considering the non-convex and nonlinear characteristics of the model, this paper employs an improved firefly algorithm to achieve optimal solution search and rapid convergence. Finally, the effectiveness and feasibility of the proposed method are demonstrated through a case study of an electricity-heat energy system. Full article
(This article belongs to the Section Energy Systems)
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23 pages, 6306 KB  
Article
Trustless Federated Reinforcement Learning for VPP Dispatch
by Xin Zhang and Fan Liang
Electronics 2026, 15(6), 1303; https://doi.org/10.3390/electronics15061303 - 20 Mar 2026
Viewed by 235
Abstract
Large-scale Virtual Power Plants (VPPs) are increasingly essential as Distributed Energy Resources (DERs) assume ancillary service duties once supplied by conventional generation, yet scaling a VPP exposes a persistent trilemma among economic efficiency, data privacy, and operational security. Centralized coordination can approach optimal [...] Read more.
Large-scale Virtual Power Plants (VPPs) are increasingly essential as Distributed Energy Resources (DERs) assume ancillary service duties once supplied by conventional generation, yet scaling a VPP exposes a persistent trilemma among economic efficiency, data privacy, and operational security. Centralized coordination can approach optimal revenue but requires collecting fine-grained DER operational data and creates a single point of compromise. Federated Learning (FL) mitigates raw data centralization by keeping measurements and experience local, but it introduces a fragile trust assumption that the aggregator will correctly and fairly combine model updates. This trust gap is acute in reinforcement learning-based VPP control because aggregation deviations, including selectively dropping updates, manipulating weights, replaying stale models, or injecting a replacement model, can silently bias the learned policy and degrade both profit and compliance. We propose a zero-knowledge federated reinforcement learning framework for trustless VPP coordination in which each DER trains a local deep reinforcement learning agent to solve a multi-objective dispatch problem that balances ancillary service revenue against battery degradation under operational and grid constraints, while the global aggregation step is made externally verifiable. In each round, participants bind membership via signed receipts and commit to their updates, and the aggregator produces a zk-SNARK, proving that the published global parameters equal the agreed aggregation rule applied to the receipt-bound set of committed updates under a fixed-point encoding with range constraints. Verification is lightweight and can be performed independently by each DER, removing the need to trust the aggregator for aggregation integrity without centralizing raw DER operational data or trajectories. The proposed design does not aim to hide model updates from the aggregator. Instead, it provides external verifiability of the aggregation computation while keeping raw measurements and local experience. We formalize the threat model and verifiable security properties for aggregation correctness and update inclusion, present a circuit construction with proof complexity characterized by model dimension and fleet size, and evaluate the approach in power and cyber co-simulation on the IEEE 33 bus feeder with ancillary service signals. Results show near-centralized economic performance under benign conditions and improved robustness to aggregator side deviations compared to standard federated reinforcement learning. Full article
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17 pages, 1159 KB  
Article
A Multi-Objective Dispatch Model for Polygeneration Systems with BESS and Industrial Demand Profiles
by Jhonatan Chicacausa-Niño, Ricardo Isaza-Ruget and Javier Rosero-García
Processes 2026, 14(6), 891; https://doi.org/10.3390/pr14060891 - 10 Mar 2026
Viewed by 258
Abstract
The transition towards sustainable energy systems requires a paradigm shift from purely economic optimization to a holistic framework that internalizes environmental and social externalities. This article integrates social and environmental aspects into the multi-objective dispatch model based on mixed-integer linear programming (MILP) for [...] Read more.
The transition towards sustainable energy systems requires a paradigm shift from purely economic optimization to a holistic framework that internalizes environmental and social externalities. This article integrates social and environmental aspects into the multi-objective dispatch model based on mixed-integer linear programming (MILP) for the economic, environmental, and social dispatch (EEDS) of a polygeneration microgrid. Unlike traditional approaches that treat social impact as a static planning constraint, this study introduces a quantified “Social Shadow Price” into the operational objective function, aiming to operationalize the concept of energy justice. The model is applied to a case study featuring a high-load factor industrial demand profile, integrated with thermal generation, solar PV, wind power, and BESS storage. Results demonstrate that internalizing environmental and social costs significantly alters the merit order dispatch, reducing the utilization of socially contentious technologies while leveraging storage arbitrage to mitigate intermittency. Furthermore, a sensitivity analysis is conducted to determine the optimal capacity of renewable energy sources, revealing that a balanced mix of solar and wind minimizes the composite sustainability index. The findings suggest that this EEDS framework provides a viable pathway for policymakers to achieve a socially equitable energy transition in industrial sectors. Full article
(This article belongs to the Special Issue Optimization and Analysis of Energy System)
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26 pages, 3049 KB  
Article
Multi-Objective Economic, Environmental, and Social Dispatch (EEDS) Model for Polygeneration Systems with Renewable Sources and Energy Storage Under Mixed Demand Profiles
by Jhonatan Chicacausa-Niño, Ricardo Isaza-Ruget and Javier Rosero-García
Sustainability 2026, 18(6), 2698; https://doi.org/10.3390/su18062698 - 10 Mar 2026
Cited by 1 | Viewed by 264
Abstract
Conventional dispatch models, which are primarily focused on cost minimization, prove insufficient to address the multidimensional challenges of a Just Energy Transition. In order to address this discrepancy, the present paper puts forth the Economic, Environmental, and Social Dispatch (EEDS) model. The EEDS [...] Read more.
Conventional dispatch models, which are primarily focused on cost minimization, prove insufficient to address the multidimensional challenges of a Just Energy Transition. In order to address this discrepancy, the present paper puts forth the Economic, Environmental, and Social Dispatch (EEDS) model. The EEDS model is a Mixed-Integer Linear Programming (MILP) Unit Commitment formulation that explicitly incorporates socio-environmental externalities. The methodology implements a two-stage rolling horizon simulator (Day-Ahead and Real-Time) with high temporal resolution (5 min), validated on a polygeneration microgrid integrated with Battery Energy Storage Systems (BESS). The numerical results indicate that the incorporation of quantified social costs substantially modifies the merit order, effectively displacing technologies that are deemed to be socially regressive. Moreover, the analysis demonstrates that demand morphology is a pivotal factor in determining system performance, achieving zero Unserved Energy (ENS) and competitive prices across diverse profiles. Finally, the application of scenario analysis demonstrates that BESS is essential for managing diverse demand morphologies and moderating price volatility across different operational contexts. Therefore, the EEDS framework provides a rigorous quantitative foundation upon which economic efficiency, sustainability, and operational social justice can be balanced. Full article
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26 pages, 14153 KB  
Article
Sustainability-Oriented Multi-Objective Low-Carbon Dispatch for an Electricity–Hydrogen Coupling Multi-Microgrid
by Zhiming Lu, Shuai Geng and Jiayu Wang
Sustainability 2026, 18(5), 2665; https://doi.org/10.3390/su18052665 - 9 Mar 2026
Viewed by 282
Abstract
To enhance the sustainable operation of electricity–hydrogen coupling multi-microgrids (EHCMMG), this study proposes a multi-objective dispatch optimization framework driven by electricity price prediction. Although EHCMMG plays a vital role in renewable energy integration and multi-energy synergy, three major sustainability-related research gaps remain: insufficient [...] Read more.
To enhance the sustainable operation of electricity–hydrogen coupling multi-microgrids (EHCMMG), this study proposes a multi-objective dispatch optimization framework driven by electricity price prediction. Although EHCMMG plays a vital role in renewable energy integration and multi-energy synergy, three major sustainability-related research gaps remain: insufficient consideration of cross-regional, multi-market, and multi-stakeholder interests; inadequate electricity–hydrogen demand response mechanisms; and limited investigation of uncertainty modeling that balances economy and security. To address these issues, this study first designs an EHCMMG architecture that supports electric-hydrogen interactions both within and outside the cluster. An electricity price prediction-driven multi-objective dispatch optimization model oriented toward multiple stakeholders is then proposed. This model incorporates incentive-based electricity–hydrogen demand response and constraints on carbon emissions. Moreover, operational uncertainties arising from renewable energy generation are addressed through the coordinated integration of spinning reserve capacity constraint and chance-constrained programming. The results show that the cluster cost, the market integrated operator (MIO) net revenue, user energy cost, and total carbon emissions are CNY 17.502 million, CNY 12.684 million, CNY 5.556 million, and 8168.126 tons in baseline scenario, respectively. The proposed model effectively balances economic efficiency, operational reliability, and low-carbon performance, thereby enhancing the overall sustainability of the EHCMMG. Full article
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28 pages, 2861 KB  
Article
A Stackelberg Game Optimization for Park-Level Integrated Energy Systems with CCS-P2G-LCES in Carbon-Green Certificate Markets
by Liang Zhang, Shuyan Wu, Baoyuan Wang, Ling Lyu, Cheng Liu and Wenwei Zhu
Electronics 2026, 15(5), 1088; https://doi.org/10.3390/electronics15051088 - 5 Mar 2026
Viewed by 394
Abstract
This paper proposes a Stackelberg game-based collaborative optimization strategy for Park-Level Integrated Energy Systems (PIESs) operating in carbon and green certificate markets. The strategy addresses interest conflicts and low-carbon transition challenges in multi-agent optimization by integrating a carbon capture, power-to-gas, and liquid carbon [...] Read more.
This paper proposes a Stackelberg game-based collaborative optimization strategy for Park-Level Integrated Energy Systems (PIESs) operating in carbon and green certificate markets. The strategy addresses interest conflicts and low-carbon transition challenges in multi-agent optimization by integrating a carbon capture, power-to-gas, and liquid carbon dioxide energy storage technology chain. Innovatively integrates LCES into the CCS-P2G-LCES chain, achieving internal carbon cycling and energy storage. First, a market environment for PIESs integrating carbon trading and green certificate trading is constructed, and a deeply coupled low-carbon technology chain model of CCS-P2G-LCES is established to realize internal carbon resource cycling and energy time shifting. Second, a one-leader, multiple-follower Stackelberg game framework is developed with the Integrated Energy Service Provider (IESP) as the leader and the User Load Aggregator (ULA) and Electric Vehicle Aggregator (EVA) as followers. The IESP guides demand response on the user and electric vehicle sides by formulating differentiated energy prices. On this basis, a collaborative optimization dispatch model is constructed with the objective of maximizing the comprehensive revenue of the IESP. Finally, case study analysis verifies that the proposed method not only enhances operational revenue and reduces user energy costs, but also significantly reduces system carbon emissions and improves renewable energy consumption rates. The results demonstrate the feasibility and superiority of integrating market mechanisms, low-carbon technologies, and multi-agent game-based collaborative optimization. Full article
(This article belongs to the Special Issue Advances in Intelligent Computing and Systems Design)
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37 pages, 7224 KB  
Article
Coordinated Optimization of Multi-EVCS Participation in P2P Energy Sharing and Joint Frequency Regulation Based on Asymmetric Nash Bargaining
by Nuerjiamali Wushouerniyazi, Haiyun Wang and Yunfeng Ding
Energies 2026, 19(5), 1269; https://doi.org/10.3390/en19051269 - 3 Mar 2026
Viewed by 272
Abstract
To address the challenges of insufficient frequency regulation capability of individual stations, poor collaborative economic performance, and unfair benefit allocation caused by fluctuations in photovoltaic (PV) output and variations in electric vehicle (EV) connectivity during vehicle-to-grid (V2G) interactions under high-penetration PV integration, this [...] Read more.
To address the challenges of insufficient frequency regulation capability of individual stations, poor collaborative economic performance, and unfair benefit allocation caused by fluctuations in photovoltaic (PV) output and variations in electric vehicle (EV) connectivity during vehicle-to-grid (V2G) interactions under high-penetration PV integration, this paper proposes a coordinated optimal operation strategy for peer-to-peer (P2P) energy sharing and joint frequency regulation among multiple electric vehicle charging stations (EVCSs). First, a collaborative framework for P2P energy sharing and joint frequency regulation among EVCSs is constructed to describe the operational mechanism of inter-station energy mutual support and coordinated response to frequency regulation signals. Subsequently, an aggregate model of the dispatchable potential for EV clusters within each station is established based on Minkowski Summation (M-sum), characterizing the charging and discharging power boundaries and frequency regulation potential of the EV clusters. Meanwhile, distributionally robust chance constraints (DRCC) based on the Kullback–Leibler (KL) divergence are introduced to handle the uncertainty of PV power generation within the EVCS. On this basis, a dynamic frequency regulation output model for EV clusters and a multi-station P2P energy sharing model are designed, with the optimization objective of minimizing the total operating cost. Finally, to quantify the differential contributions of each EVCS in the collaborative operation, an asymmetric Nash bargaining benefit allocation mechanism is proposed, which incorporates a comprehensive contribution index considering both energy sharing and joint frequency regulation, The model is solved in a distributed manner using the alternating direction method of multipliers (ADMM). Simulation results demonstrate that, compared to non-cooperative operation, the frequency regulation completeness rates of the EVCSs after cooperation increase by 5.7%, 5.2%, and 4.4%, respectively; meanwhile, the total operating cost drops from CNY 16,187.61 under non-cooperative operation to CNY 15,997.47, achieving a reduction of 1.18%. The proposed strategy not only meets grid frequency regulation demands but also enhances the economic efficiency of multi-station collaborative operation and the fairness of benefit distribution. Full article
(This article belongs to the Special Issue Optimized Energy Management Technology for Electric Vehicle)
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19 pages, 1427 KB  
Article
Federated Deep Reinforcement Learning for Energy Scheduling in Privacy-Sensitive PV-EV Charging Networks
by Yongguang Zhao, Xinni Li, Yongqing Zheng and Wei Guo
Electronics 2026, 15(5), 1012; https://doi.org/10.3390/electronics15051012 - 28 Feb 2026
Viewed by 263
Abstract
The large-scale adoption of electric vehicles (EVs) improves transport sustainability but creates severe peak-time stress on distribution grids. In PV-assisted charging networks, station operators must jointly decide retail charging prices and energy-storage dispatch under uncertain demand and generation conditions. This paper develops a [...] Read more.
The large-scale adoption of electric vehicles (EVs) improves transport sustainability but creates severe peak-time stress on distribution grids. In PV-assisted charging networks, station operators must jointly decide retail charging prices and energy-storage dispatch under uncertain demand and generation conditions. This paper develops a distributed federated deep reinforcement learning framework for multi-station scheduling, where each station trains a local soft actor–critic (SAC) policy and only model parameters are exchanged with a global aggregator. To better adapt prices to local supply–demand conditions, we introduce a sales-factor-based correction mechanism that links the announced price to demand pressure and storage status. The objective combines station revenue, operating expenses, and user-discomfort-related penalties under operational constraints. Simulation results on a five-station setting show stable convergence and consistent gains over benchmark methods, with profit improvements of 3.90–39.00%. The framework keeps raw operational data local and supports collaborative optimization across stations. Full article
(This article belongs to the Special Issue Deep Learning and Advanced Machine Learning for Energy Forecasting)
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26 pages, 10348 KB  
Article
A Resilient Ensemble Deep Learning Architecture for Load Forecasting Against FDI Attack
by Zhenya Chen, Yameng Zhang, Bin Liu, Ming Yang and Xuguo Jiao
Electronics 2026, 15(5), 991; https://doi.org/10.3390/electronics15050991 - 27 Feb 2026
Viewed by 247
Abstract
Short-term load forecasting (STLF) is crucial for ensuring power grid stability and economic dispatch. Its accuracy heavily depends on the quality of the input data. However, collecting operational data via the power system’s communication network poses a significant vulnerability to cyberattacks, particularly stealthy [...] Read more.
Short-term load forecasting (STLF) is crucial for ensuring power grid stability and economic dispatch. Its accuracy heavily depends on the quality of the input data. However, collecting operational data via the power system’s communication network poses a significant vulnerability to cyberattacks, particularly stealthy False Data Injection (FDI) attacks. By closely mimicking normal load fluctuations, these attacks evade conventional detection, thus, compromising forecasting reliability. To address this challenge, this paper proposes a novel resilient load forecasting framework that integrates two-stage attack detection with robust ensemble learning. In the detection stage, attack identification is performed through seasonal decomposition and AE-BiLSTM reconstruction, followed by restoration using periodic-consistent historical means and secondary screening via second-order differencing (SOD). In the forecasting stage, an improved Multi-Objective Whale Migration Algorithm (MO-WMA) is employed to adaptively optimize ensemble weights for intelligent fusion, significantly enhancing prediction accuracy and robustness, and providing a generalizable solution for intelligent grid load forecasting. Experiments were conducted on the Independent System Operator of New England (ISO New England, 2012–2014) load dataset under four typical FDI attack scenarios, with test sets including diverse attack intensities and temporal patterns. Results show that the framework achieves 98.98% attack detection accuracy and improves the R2 forecasting metric from 0.9053 to 0.9851, approaching attack-free performance, demonstrating effective recovery of forecasting accuracy and generalization capability. Full article
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