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Search Results (514)

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27 pages, 2134 KB  
Article
Adaptive SOC Estimation of Reconfigurable Battery Modules Based on a Hybrid Deep Learning Model
by Qiang Zhao, Fanqi Tang and Bing Zhang
Electronics 2026, 15(10), 2208; https://doi.org/10.3390/electronics15102208 (registering DOI) - 20 May 2026
Abstract
Reconfigurable battery modules can dynamically adjust the connection topology among battery cells, significantly improving the energy utilization efficiency of battery energy storage systems. However, existing state estimation methods focus primarily on individual battery cells. Frequent topology changes cause traditional State of Charge (SOC) [...] Read more.
Reconfigurable battery modules can dynamically adjust the connection topology among battery cells, significantly improving the energy utilization efficiency of battery energy storage systems. However, existing state estimation methods focus primarily on individual battery cells. Frequent topology changes cause traditional State of Charge (SOC) estimation algorithms to accumulate large errors due to mismatches in equivalent capacity and internal resistance, making them ineffective for reconfigurable battery modules. To address this limitation, this paper proposes a Gated Recurrent Unit–Transformer architecture for precise SOC estimation in reconfigurable battery modules. The model uses a Gated Recurrent Unit to capture the temporal continuity of electrochemical evolution and employs the Transformer’s self-attention mechanism to analyze discrete topology changes. Experimental results show excellent estimation accuracy across different initial SOC levels, with a mean absolute error as low as 0.085% at full charge and 0.035% at 50% SOC. The architecture demonstrates strong topology self-identification capability and maintains high robustness even under abrupt voltage steps caused by reconfiguration. This method provides accurate and reliable state estimation for large-scale two-layer reconfigurable battery systems while reducing control complexity and improving operational efficiency. Full article
18 pages, 13804 KB  
Article
Automated Inverse Design Framework for Traveling-Wave Electrode Electro-Optic Modulators with Discrete Fabrication Constraints
by Qi You, Pingrang Hua, Yifei Chen, Xingshan Chen and Tong Ye
Photonics 2026, 13(5), 500; https://doi.org/10.3390/photonics13050500 - 18 May 2026
Abstract
The utilization of electro-optic modulators in engineering is progressively expanding. In this paper, an automated inverse design framework is proposed for traveling-wave electrode electro-optic modulators (EOM). It addresses key challenges in modulator design, such as multi-parameter coupling and discrete fabrication constraints. Applied to [...] Read more.
The utilization of electro-optic modulators in engineering is progressively expanding. In this paper, an automated inverse design framework is proposed for traveling-wave electrode electro-optic modulators (EOM). It addresses key challenges in modulator design, such as multi-parameter coupling and discrete fabrication constraints. Applied to a segmented electrode lithium niobate modulator, the framework achieves a 100 GHz electro-optic (EO) bandwidth and a half-wave voltage-length product of Vπ·L=1 V·cm at 5 mm length, with all 20 independent runs converging successfully under the tested conditions. The framework is further validated on four modulator structures and six engineering conditions, consistently yielding EO bandwidth > 40 GHz and Vπ·L<5 V·cm. This work offers a practical and adaptable solution for the automated design of high-performance electro-optic modulators under realistic fabrication constraints. Full article
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23 pages, 2569 KB  
Article
Model-Free Predictive Synthesis Performance Optimization of DAB Converters Based on an Ultra-Local Model
by Luan Wang, Guoqiang Qiu, Bowen Chi, Dejun Liu and Yanming Cheng
Energies 2026, 19(10), 2421; https://doi.org/10.3390/en19102421 - 18 May 2026
Abstract
The dual-active-bridge (DAB) converter is the core component of the DC micro-grid system; it has the advantages of topological structure symmetry, high efficiency, and high-power density. Model predictive control (MPC) is often employed to improve the dynamic response characteristics of the system, but [...] Read more.
The dual-active-bridge (DAB) converter is the core component of the DC micro-grid system; it has the advantages of topological structure symmetry, high efficiency, and high-power density. Model predictive control (MPC) is often employed to improve the dynamic response characteristics of the system, but its strong parameter dependence is a key factor limiting the development of MPC. Therefore, a model-free predictive control (MFPC) method combining an ultra-local model with model predictive control is proposed to solve the problem of strong dependence of traditional MPC on system model parameters. Firstly, establish the ultra-local mathematical model of the DAB converter. The system’s lumped disturbances are identified using the residual prediction method and substituted into the discrete model of the system at the next time step to achieve model-free prediction. Secondly, a minimum back-flow power constraint is added to the cost function to improve the steady-state performance of the converter. Thirdly, in the extended phase shift modulation, the Lagrange multiplier method (LMM) is proposed to reduce the current stress, ultimately achieving the collaborative optimization of the comprehensive performance of the DAB. Finally, a simulation model is built using MATLAB/Simulink, and compared with traditional control methods, the voltage ripple has been reduced by 51.3%, 89.1%, and 85.1%, respectively; the current stress significantly decreases both when the output voltage reference value changes and when the load resistance changes abruptly, and both can basically achieve zero back-flow power operation. The validity and superiority of the proposed strategy have been verified. Full article
(This article belongs to the Special Issue Advances in Power Converters and Inverters)
23 pages, 16897 KB  
Article
A Hybrid Radial Basis Function–Finite Difference Matrix Operators (RBF–FDMO) Approach for Numerical Simulation of Grounding Systems on Non-Uniform FD Mesh
by Xuan-Binh Nguyen, Nhat-Nam Nguyen and Phan-Tu Vu
Energies 2026, 19(10), 2271; https://doi.org/10.3390/en19102271 - 8 May 2026
Viewed by 204
Abstract
This paper presents a hybrid numerical approach, termed the Radial Basis Function–Finite Difference Matrix Operator (RBF–FDMO) method, to enhance the accuracy and flexibility of the conventional FDMO technique for three-dimensional (3D) electromagnetic field analysis governed by the Laplace–Poisson equation. Conventional numerical methods often [...] Read more.
This paper presents a hybrid numerical approach, termed the Radial Basis Function–Finite Difference Matrix Operator (RBF–FDMO) method, to enhance the accuracy and flexibility of the conventional FDMO technique for three-dimensional (3D) electromagnetic field analysis governed by the Laplace–Poisson equation. Conventional numerical methods often face challenges related to computational complexity and limited flexibility when handling non-uniform discretization and complex geometries. In the proposed method, spatial derivatives are approximated using RBF-based interpolation rather than finite difference schemes derived from Taylor series expansion. This formulation enables the construction of high-accuracy derivative operators on both uniform and non-uniform FD grids, thereby improving numerical robustness and adaptability to complex geometries. The performance of the proposed method is first compared with the FDMO in a 3D benchmark problem, with reductions of more than two orders of magnitude in both RMS and maximum errors. Furthermore, the RBF-FDMO approach is developed and, for the first time, applied to the analysis of grounding system (GS) configurations specified in IEEE Std. 80™, as well as a practical 110 kV substation GS in Vietnam. The obtained potential distributions, grounding resistances, and touch and step voltages confirm the effectiveness and reliability of the method. The results indicate that the proposed approach features a simple formulation and competitive computational efficiency, positioning it as a practical alternative to conventional methods like the finite element method (FEM) and the boundary element method (BEM) for GS analysis and design. Full article
(This article belongs to the Section F1: Electrical Power System)
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15 pages, 3865 KB  
Article
Cathode Design and Flow Field Optimization in Electrochemical Machining of Square Holes
by Xuesong Liu, Zhen Guo, Fan Du, Guokang Su, Hua Chen and Chuanyun Zhang
Micromachines 2026, 17(5), 578; https://doi.org/10.3390/mi17050578 - 7 May 2026
Viewed by 271
Abstract
To improve the forming quality, precision, and machining stability of square hole structures in high-hardness gun steel (PCrNi3MoVA) during electrochemical machining (ECM). A planar cathode bottom design array with liquid holes is innovatively proposed in this paper to achieve uniform distribution [...] Read more.
To improve the forming quality, precision, and machining stability of square hole structures in high-hardness gun steel (PCrNi3MoVA) during electrochemical machining (ECM). A planar cathode bottom design array with liquid holes is innovatively proposed in this paper to achieve uniform distribution of the flow field in discrete bottom machining gaps. The modeling and simulation of the flow field within the ECM gap were carried out using simulation software. A cathode with 25 outlet holes in an array distribution and a profile thickness of 1 mm was designed. However, sparking occurred on the cathode bottom surface during ECM experiments, leading to machining short-circuit. Further analysis and structural optimization were conducted on the sparking area of the cathode bottom surface. The introduction of flow guide grooves on the cathode bottom surface can effectively improve the uniformity of flow field distribution and the stability of the machining process, thereby solving the problem of manufacturing square holes in high-hardness gun steel materials. Finally, under the conditions of an electrolyte pressure of 0.7 MPa, a machining voltage of 12 V, a frequency of 2 kHz, a duty cycle of 60%, and a feed rate of 0.8 mm/min, a square hole with a side length of 10.2 mm was obtained, with a straightness error of ±0.05 mm and a filet radius of 0.38 ± 0.05 mm. Full article
(This article belongs to the Section D:Materials and Processing)
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19 pages, 4312 KB  
Article
State-Dependent Switching Control with Dwell Time Regulation for Three-Phase VSCs Based on 4D Switching Model
by Xin Guo, Hongyi Qi, Hongbo Cao, Celso Grebogi and Shangbin Jiao
Energies 2026, 19(9), 2245; https://doi.org/10.3390/en19092245 - 6 May 2026
Viewed by 228
Abstract
This paper proposes a novel modeling and control strategy for three-phase voltage source converters (VSCs) based on a switched system framework. A four-dimensional (4D) switched model and state-dependent switching control strategy with dwell time regulation are proposed. The key contributions of this work [...] Read more.
This paper proposes a novel modeling and control strategy for three-phase voltage source converters (VSCs) based on a switched system framework. A four-dimensional (4D) switched model and state-dependent switching control strategy with dwell time regulation are proposed. The key contributions of this work are: (1) The proposed switching model accurately represents both the continuous and discrete dynamics of the AC current and DC voltage in three-phase VSCs without relying on linearization or approximation techniques. (2) The proposed method enables the simultaneous control of three-phase AC currents and DC voltage within a single loop under the switching control framework. Complex phase-locked loops (PLLs), pulse width modulation (PWM), and the control parameter tuning process are avoided. (3) The steady-state and transient performance of the system was enhanced through the adaptive adjustment of the dwell time of the switching signal. The simulation and experimental results confirm the effectiveness and advantages of the proposed method. Full article
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27 pages, 3967 KB  
Article
A Nonlinear Strong-Contraction-Criterion-Based Voltage Stability Analysis for Renewable Energy Bases with Coupled Reactive-Power Resources
by Pengyu Wu, Da Xie and Yanchi Zhang
Energies 2026, 19(9), 2221; https://doi.org/10.3390/en19092221 - 4 May 2026
Viewed by 239
Abstract
Large-scale renewable energy bases increasingly employ automatic voltage control (AVC) to coordinate heterogeneous reactive-power resources. The resulting voltage regulation process inherently involves sampling, communication delay, and nonlinear device characteristics, which may induce nontraditional voltage oscillations and stability degradation that cannot be adequately captured [...] Read more.
Large-scale renewable energy bases increasingly employ automatic voltage control (AVC) to coordinate heterogeneous reactive-power resources. The resulting voltage regulation process inherently involves sampling, communication delay, and nonlinear device characteristics, which may induce nontraditional voltage oscillations and stability degradation that cannot be adequately captured by conventional continuous-time or small-signal analysis. This paper proposes a discrete-time nonlinear voltage stability analysis framework for renewable energy bases with multi-reactive-power-resource coupling under AVC-based coordinated control. The voltage regulation dynamics are formulated as a discrete-time nonlinear closed-loop system by incorporating sampled AVC actions, delayed voltage feedback, and nonlinear voltage–reactive-power coupling. An incremental system representation is constructed, and a strong-contraction-based stability criterion is derived using sector-bounded nonlinearity descriptions and linear matrix inequalities, providing a sufficient condition for global voltage convergence without local linearization. Extensive numerical studies are conducted on a representative renewable energy base with parallel and series coupling topologies. A total of 2916 randomized configurations are evaluated. The proposed criterion achieves consistency rates exceeding 96% for the parallel topology and 99% for the series topology when compared with time-domain simulations, while the probability of dangerous misjudgment remains below 1%. Scenario-based simulations further demonstrate that coupling topology plays a critical role in shaping voltage stability behaviors, and state-space analysis further supports the observed stability behaviors. These results indicate that nonlinear strong contraction offers an effective and practical stability notion for AVC-based voltage regulation in renewable energy bases. Full article
(This article belongs to the Section A1: Smart Grids and Microgrids)
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21 pages, 1881 KB  
Article
Optimal Reconfiguration of Distribution Networks with Distributed Generation Using a Hybrid GWO–NN Method for Sustainable Power Loss Reduction and Voltage Profile Improvement
by Byron Corrales, Milton Ruiz, Edwin Garcia and Alexander Aguila Téllez
Sustainability 2026, 18(9), 4516; https://doi.org/10.3390/su18094516 - 4 May 2026
Viewed by 916
Abstract
Distribution networks are being transformed by the growing penetration of distributed generation (DG), which changes power flows, voltage profiles, and the optimal operating point of the feeder. This study proposes a hybrid technique that combines the Gray Wolf Optimizer (GWO) with a neural [...] Read more.
Distribution networks are being transformed by the growing penetration of distributed generation (DG), which changes power flows, voltage profiles, and the optimal operating point of the feeder. This study proposes a hybrid technique that combines the Gray Wolf Optimizer (GWO) with a neural network (NN) surrogate model to solve the distribution network reconfiguration (DNR) problem. The method minimizes active power losses while improving voltage regulation and preserving radial operation under operational constraints. The GWO performs global exploration of discrete switch configurations, whereas the NN accelerates local refinement by screening candidates before exact AC power flow validation. This manuscript presents benchmark results for the IEEE 33-bus and IEEE 69-bus distribution test systems. For the IEEE 33-bus benchmark, DG units are installed at buses 14, 25, and 30. For the IEEE 33-bus case, losses are reduced from 282.94 kW in the base case to 120.65 kW with DG and to 87.08 kW after hybrid reconfiguration, while the minimum voltage magnitude improves from 0.8829 p.u. to 0.9587 p.u. For the IEEE 69-bus case, total active losses decrease from 224.95 kW to 82.22 kW with DG and to 29.92 kW after reconfiguration while concurrently improving the voltage profile and line loading. From a sustainability perspective, the main contribution of the proposed workflow is to reduce technical losses at the distribution level, thereby improving energy efficiency for a given demand. Overall, the results show that the combined use of DG and surrogate-assisted reconfiguration can yield substantial efficiency gains across benchmark feeders of varying sizes, while broader multi-feeder validation and more detailed surrogate error quantification remain necessary before claiming general applicability. Full article
(This article belongs to the Special Issue Smart Grid and Sustainable Energy Systems)
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24 pages, 4822 KB  
Article
Heuristic-Guided Safe Multi-Agent Reinforcement Learning for Resilient Spatio-Temporal Dispatch of Energy-Mobility Nexus Under Grid Faults
by Runtian Tang, Yang Wang, Wenan Li, Zhenghui Zhao and Xiaonan Shen
Electronics 2026, 15(9), 1868; https://doi.org/10.3390/electronics15091868 - 28 Apr 2026
Viewed by 351
Abstract
The increasing electrification of urban transportation has formulated a tightly coupled energy-mobility nexus. Under extreme disaster events or grid faults, rapidly restoring power supply capacity and re-dispatching shared electric vehicle (EV) fleets are critical for enhancing system resilience. Existing co-optimization methods face the [...] Read more.
The increasing electrification of urban transportation has formulated a tightly coupled energy-mobility nexus. Under extreme disaster events or grid faults, rapidly restoring power supply capacity and re-dispatching shared electric vehicle (EV) fleets are critical for enhancing system resilience. Existing co-optimization methods face the curse of dimensionality when dealing with high-dimensional discrete grid reconfigurations and continuous spatio-temporal EV queuing dynamics. While multi-agent deep reinforcement learning (MADRL) offers real-time responsiveness, it inherently struggles to satisfy strict physical constraints, frequently generating infeasible and unsafe actions. To bridge this gap, this paper proposes a heuristic-guided safe multi-agent reinforcement learning (Safe-MADRL) framework for the resilient dispatch of the energy-mobility nexus. Instead of relying solely on black-box neural networks, the framework structurally embeds physical models and heuristic solvers into the learning loop. A quantum particle swarm optimization (QPSO) algorithm acts as a heuristic action refiner to ensure that grid topology actions strictly comply with non-linear power flow and voltage constraints. Simultaneously, a mixed-integer linear programming (MILP) model coupled with a single-queue multi-server (SQMS) model serves as a safety projection layer. This layer mathematically guarantees EV battery energy continuity and accurately quantifies spatio-temporal queuing delays at charging stations. Case studies on a coupled IEEE 33-node distribution system and a regional transportation network demonstrate that the proposed Safe-MADRL framework achieves zero physical violations during training and significantly outperforms traditional mathematical optimization and pure learning-based methods in computational efficiency, system power loss reduction, and overall operational economy. Full article
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26 pages, 2247 KB  
Article
Sustainability-Oriented Planning of Capacitor Banks for Loss Reduction and Voltage Improvement in Radial Distribution Feeders
by Edwin Albuja-Calo and Jorge Muñoz-Pilco
Sustainability 2026, 18(8), 4025; https://doi.org/10.3390/su18084025 - 17 Apr 2026
Viewed by 496
Abstract
Radial distribution feeders are especially sensitive to reactive-power deficits, which increase technical losses, deteriorate voltage profiles, reduce energy efficiency, and indirectly raise the emissions associated with the energy required to supply those losses. In this context, this paper proposes a sustainability-oriented planning methodology [...] Read more.
Radial distribution feeders are especially sensitive to reactive-power deficits, which increase technical losses, deteriorate voltage profiles, reduce energy efficiency, and indirectly raise the emissions associated with the energy required to supply those losses. In this context, this paper proposes a sustainability-oriented planning methodology for the location and sizing of capacitor banks in radial distribution feeders, aimed at jointly improving technical performance, economic viability, and sustainability-related energy benefits. The problem is formulated as a discrete multi-objective model and solved through a constructive Greedy heuristic combined with backward/forward sweep load-flow evaluation, considering commercially available capacitor sizes. The methodology is validated on the IEEE 34-bus feeder, a demanding benchmark that remains less frequently used than the IEEE 33- and 69-bus systems in recent capacitor-planning studies. Seven scenarios are analyzed, from the uncompensated base case to configurations with up to six capacitor banks. The results show that all compensated scenarios improve feeder performance, reducing active losses from 25.3327 kW to a minimum of 20.1468 kW, equivalent to a maximum reduction of 20.47%, and increasing the minimum nodal voltage from 0.95528 p.u. to 0.97038 p.u. From a purely financial perspective, the one-bank scenario yields the highest net present value (USD 16,358.86), whereas the two-bank scenario emerges as the most balanced solution within the evaluated set, with annual savings of USD 5432.29 and a net present value of USD 11,497.58. Overall, the results confirm that capacitor-bank planning should be addressed as a trade-off among electrical efficiency, voltage support, profitability, and sustainability-oriented benefits. The proposed framework provides a simple, reproducible, and interpretable planning tool for radial distribution feeders. Full article
(This article belongs to the Special Issue Smart Grid and Sustainable Energy Systems)
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21 pages, 21921 KB  
Article
On Fractional Discrete-Time Power Systems: Chaos, Complexity and Control
by Omar Kahouli, Imane Zouak, Sulaiman Almohaimeed, Adel Ouannas, Lilia El Amraoui and Mohamed Ayari
Mathematics 2026, 14(8), 1354; https://doi.org/10.3390/math14081354 - 17 Apr 2026
Viewed by 327
Abstract
In this paper, based on the Caputo-like delta fractional difference operator, we will present a fractional discrete model of a 4D Power System. We present an extension of the popular integer-order single-machine infinite-bus formulation to two fractional cases, one with commensurate (equal) fractional [...] Read more.
In this paper, based on the Caputo-like delta fractional difference operator, we will present a fractional discrete model of a 4D Power System. We present an extension of the popular integer-order single-machine infinite-bus formulation to two fractional cases, one with commensurate (equal) fractional orders and another incommensurate (not equal). This extension captures long-memory effects in dynamics and thus offers a consistent mathematical description of the nonlinear behavior of power systems. The orders of the fractional models are analyzed numerically. Using time series evolution, phase-space plots, bifurcation maps, Lyapunov spectra, and the 0–1 chaos test, spectral entropy and C0 complexity metrics, we identify chaotic regimes. Additionally, techniques for controlling chaos are explored to stabilize and regulate the dynamics of the system. Both the fractional formulations exhibit richer dynamical features than their integer counterparts, and for the incommensurate case, the sensitivity to the fractional variations is larger, generating complex nonlinear oscillations. The fractional discrete power system framework provides a new perspective for studying instability, the voltage collapse phenomenon, and chaotic oscillations in power engineering applications. Full article
(This article belongs to the Special Issue Mathematical Modeling and Control for Engineering Applications)
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30 pages, 5697 KB  
Article
Petri-Net-Based Interlocking and Supervisory Logic for Tap-Changer-Assisted Transformers: A Formalized Control Approach
by Alfonso Montenegro and Luis Tipán
Energies 2026, 19(8), 1943; https://doi.org/10.3390/en19081943 - 17 Apr 2026
Viewed by 433
Abstract
The increasing operational variability in distribution networks (e.g., abrupt load changes and distributed generation integration) increases the demands on voltage regulation devices and, in particular, on transformers with on-load tap changers (OLTCs). This paper develops and validates a discrete supervisory control scheme based [...] Read more.
The increasing operational variability in distribution networks (e.g., abrupt load changes and distributed generation integration) increases the demands on voltage regulation devices and, in particular, on transformers with on-load tap changers (OLTCs). This paper develops and validates a discrete supervisory control scheme based on Petri nets, implemented in Stateflow and coupled to an electromagnetic model of the OLTC transformer in Simulink/Simscape. The Petri net formalizes the conditional and sequential logic of OLTC operation, enabling state- and time-dependent decisions (e.g., delays between maneuvers) to improve voltage regulation and reduce unnecessary tap operations. The evaluation is performed by simulation under transient scenarios that include sudden load variations anda phase-to-ground fault in the IEEE 13-node standard network, specifically at node 634. In the base case, the controller maintains the voltage within the tolerance band ±1.875% during 96% of the simulated time, with an 88% reduction in RMS error (from 1.92% to 0.23%) and 100% operational efficiency (16 effective maneuvers, with a single hunting event). Subsequently, the scheme is validated on the standard IEEE 13-node network, with four disturbances applied over 600 s (two load increments, photovoltaic injection, and a temporary line disconnection). In this case, regulation remains within a precision zone of ±0.3% for 96.8% of the time, with an average RMS error of 0.23% and 100% efficiency, with no hunting events. The results confirm that a Petri net-based supervisory logic can simultaneously improve the OLTC’s voltage quality and switching efficiency, providing a reproducible alternative for distribution network automation. Full article
(This article belongs to the Section F1: Electrical Power System)
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28 pages, 6179 KB  
Article
Robust Voltage Stability Enhancement of DFIG Systems Using Deadbeat-Controlled STATCOM and ADRC-Based Supercapacitor Support
by Ahmed Muthanna Nori, Ali Kadhim Abdulabbas, Omar Alrumayh and Tawfiq M. Aljohani
Mathematics 2026, 14(8), 1254; https://doi.org/10.3390/math14081254 - 9 Apr 2026
Viewed by 336
Abstract
The increasing penetration of Doubly Fed Induction Generator (DFIG)-based wind energy systems raises major concerns regarding voltage stability and Fault Ride-Through (FRT) capability under grid disturbances and wind speed variations. This paper proposes a coordinated control framework for a grid-connected DFIG system, where [...] Read more.
The increasing penetration of Doubly Fed Induction Generator (DFIG)-based wind energy systems raises major concerns regarding voltage stability and Fault Ride-Through (FRT) capability under grid disturbances and wind speed variations. This paper proposes a coordinated control framework for a grid-connected DFIG system, where a Static Synchronous Compensator (STATCOM) based on discrete-time deadbeat current control is integrated with a Supercapacitor Energy Storage System (SCES) connected to the DC link through a bidirectional DC-DC converter governed by cascaded Active Disturbance Rejection Control (ADRC). The deadbeat-controlled STATCOM provides fast reactive current injection for voltage support during sag and swell events, while the cascaded ADRC enhances DC-link voltage regulation and suppresses rotor-speed oscillations. Comprehensive MATLAB/Simulink simulations are carried out under variable wind speed and severe grid disturbances up to 80% voltage sag and 50% voltage swell. For voltage regulation, the proposed method is compared with SVC and PI-based STATCOM. In addition, SCES control performance is evaluated by comparing PI, single ADRC, and cascaded ADRC in terms of DC-link voltage overshoot, undershoot, and ripple. The results show clear improvements in voltage response and transient performance. Under a 20% voltage sag, the proposed deadbeat-controlled STATCOM significantly improves the dynamic response, where the undershoot is reduced from 0.125 p.u. (with SVC) to 0.04 p.u., and the settling time is shortened from 0.04 s to 0.025 s. Under a severe 80% sag, the overshoot is limited to 0.02 p.u., compared with 0.13 p.u. for the SVC and 0.15 p.u. for the PI-based STATCOM. Similarly, under a 50% voltage swell, the overshoot is reduced to 0.20 p.u., compared with 0.46 p.u. for the SVC and 0.27 p.u. for the PI-based STATCOM. Regarding the DC-link performance under 80% sag, the proposed cascaded ADRC-based SCES limits the overshoot and undershoot to 6 V and 2 V, respectively, compared with 39 V and 32 V for the PI-based SCES. These results confirm the superior damping, disturbance rejection, and FRT enhancement achieved by the proposed strategy. Full article
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17 pages, 4036 KB  
Article
Pollution Flashover Characteristics of Hydrophilic/Hydrophobic Alternating Surfaces for Insulator Hybridization
by Bo Tao, Li Cheng, Yi Gong, Haoming Bao and Ruijin Liao
Polymers 2026, 18(8), 904; https://doi.org/10.3390/polym18080904 - 8 Apr 2026
Viewed by 407
Abstract
With the growing trend toward insulator hybridization, higher requirements are imposed on the synergistic improvement of interfacial durability and pollution flashover performance. Machining annular grooves at the green-body stage and embedding silicone rubber enables the construction of an embedded structure with improved durability, [...] Read more.
With the growing trend toward insulator hybridization, higher requirements are imposed on the synergistic improvement of interfacial durability and pollution flashover performance. Machining annular grooves at the green-body stage and embedding silicone rubber enables the construction of an embedded structure with improved durability, forming hydrophilic/hydrophobic alternating surfaces. However, the outdoor insulation characteristics of such hybrid surfaces remain insufficiently investigated, and their engineering feasibility requires further validation. In this study, a series of hydrophilic/hydrophobic alternating surfaces were fabricated, and artificial pollution tests were conducted. The results show that the AC pollution flashover voltage exhibits a saturated increasing trend as the hydrophobic interfaces become more dispersed. When twenty 4 mm wide hydrophobic interfaces were distributed along a 16 cm creepage distance, the flashover voltage was 12.4% higher than that of a fully hydrophobic surface. These results indicate that appropriate design of hydrophobic interface distribution can achieve excellent pollution flashover performance even at relatively low hydrophobic coverage (≤50%). High-speed imaging combined with infrared thermography reveals the discharge mechanism governed by hydrophobic interface distribution from an electro–thermal coupling perspective. The coexistence of multiple dry bands induced by discrete hydrophobic interfaces is identified as the key factor enhancing flashover withstand capability. A static pollution flashover model was established to quantitatively estimate the AC flashover voltage, confirming the external insulation feasibility of the embedded hybrid concept. Full article
(This article belongs to the Section Polymer Applications)
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25 pages, 4910 KB  
Article
A Voltage Optimization Method for Active Distribution Networks Based on Coordinated Control of VVR and ER for Extreme Scenarios
by Huipeng Li, Jun Zhao, Xiao Chang, Jinge Song and Chen Shao
Energies 2026, 19(7), 1778; https://doi.org/10.3390/en19071778 - 4 Apr 2026
Viewed by 446
Abstract
To address the issues of prediction failure and energy storage regulation saturation caused by drastic source-load variations under extreme scenarios, a novel voltage optimization strategy based on the coordination of a Volt/Var Regulator and an Energy Router is proposed. Firstly, the mechanism by [...] Read more.
To address the issues of prediction failure and energy storage regulation saturation caused by drastic source-load variations under extreme scenarios, a novel voltage optimization strategy based on the coordination of a Volt/Var Regulator and an Energy Router is proposed. Firstly, the mechanism by which the accumulation of prediction errors leads to integral saturation of energy storage and subsequent failure in voltage regulation is elucidated. Subsequently, by constructing a refined model, the proposed approach integrates the series voltage regulation capability of the VVR—which alters the electrical distance—with the cross-node load transfer capability of the ER, achieving an organic synergy between discrete coarse adjustment and continuous fine-tuning. Simulations based on the IEEE 33-node system demonstrate that the proposed method exhibits excellent robustness under extreme operating conditions such as photovoltaic surges and abrupt load changes. It does not rely on prediction accuracy and effectively overcomes the regulation blind spots caused by prediction failures, thereby significantly mitigating voltage violations and effectively maintaining the system voltage strictly within safe operational limits. Full article
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