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Search Results (786)

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Keywords = multilevel converters

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22 pages, 5492 KB  
Article
High-Performance Multilevel Inverter Integrated DVR for Comprehensive Power Quality Improvement in Power Systems
by Samuel Nii Tackie, Ebrahim Babaei, Şenol Bektaş, Özgür Cemal Özerdem and Murat Fahrioglu
Energies 2026, 19(2), 519; https://doi.org/10.3390/en19020519 - 20 Jan 2026
Abstract
This paper proposes a dynamic voltage restorer (DVR) based on a new three-phase multilevel inverter (MLI). An integral component of DVRs is the power electronic converter. At medium-to-high voltage levels, MLIs are the ideal converters for DVR applications because lower voltage-rated switches are [...] Read more.
This paper proposes a dynamic voltage restorer (DVR) based on a new three-phase multilevel inverter (MLI). An integral component of DVRs is the power electronic converter. At medium-to-high voltage levels, MLIs are the ideal converters for DVR applications because lower voltage-rated switches are used to generate high voltages, thus minimizing power losses. The proposed three-phase MLI generates 15 levels of load voltage per phase, using a reduced component count: eight lower-rated semiconductor power switches, four primary DC voltage sources, two auxiliary DC sources, and eight driver circuits per phase. Additionally, each phase features a low-frequency transformer with voltage-boosting and galvanic isolation capabilities. The switching sequence of the proposed MLI is simpler to execute using fundamental frequency control; this methodology provides reduced switching stress and reduced switching losses as merits. Structurally, the proposed MLI is less complex and thus scalable. The proposed DVR, based on three-phase MLI, efficiently offsets power quality problems such as voltage swell, voltage sags, and harmonics for balanced and unbalanced loads. The operational performance of the proposed DVR-MLI is verified by a simulation, using PSCAD software and an experimental prototype. Full article
(This article belongs to the Section F3: Power Electronics)
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28 pages, 6082 KB  
Article
Parametric Design of an LCL Filter for Harmonic Suppression in a Three-Phase Grid-Connected Fifteen-Level CHB Inverter
by Madiha Sattar, Usman Masud, Abdul Razzaq Farooqi, Faraz Akram and Zeashan Khan
Designs 2026, 10(1), 6; https://doi.org/10.3390/designs10010006 - 16 Jan 2026
Viewed by 72
Abstract
With the increasing integration of renewable energy sources into the grid, power quality at the point of common coupling (PCC)—particularly harmonic distortion introduced by power electronic converters—has become a critical concern. This paper presents a rigorous design and evaluation of a three-phase, fifteen-level [...] Read more.
With the increasing integration of renewable energy sources into the grid, power quality at the point of common coupling (PCC)—particularly harmonic distortion introduced by power electronic converters—has become a critical concern. This paper presents a rigorous design and evaluation of a three-phase, fifteen-level cascaded H-bridge multilevel inverter (CHB MLI) with an LCL filter, selected for its superior harmonic attenuation, compact size, and cost-effectiveness compared to conventional passive filters. The proposed system employs Phase-Shifted Pulse Width Modulation (PS PWM) for balanced operation and low output distortion. A systematic, reproducible methodology is used to design the LCL filter, which is then tested across a wide range of switching frequencies (1–5 kHz) and grid impedance ratios (X/R = 2–9) in MATLAB/Simulink R2025a. Comprehensive simulations confirm that the filter effectively reduces both voltage and current total harmonic distortion (THD) to levels well below the 5% limit specified by IEEE 519, with optimal performance (0.53% current THD, 0.69% voltage THD) achieved at 3 kHz and X/R ≈ 5.6. The filter demonstrates robust performance regardless of grid conditions, making it a practical and scalable solution for modern renewable energy integration. These results, further supported by parametric validation and clear design guidelines, provide actionable insights for academic research and industrial deployment. Full article
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25 pages, 3169 KB  
Review
Review on Power Routing Techniques and Converter Losses Model for VSC-Based Power Router
by Vinicius Gadelha, João Soares-Vila-Luz, Antonio E. Saldaña-González and Andreas Sumper
Electricity 2026, 7(1), 5; https://doi.org/10.3390/electricity7010005 - 14 Jan 2026
Viewed by 212
Abstract
In this work, a comprehensive literature review on power-routing devices is presented, outlining their current design principles and potential uses. Additionally, a comprehensive loss model for Modular Multilevel Converters (MMCs) in the context of power routers (PRs), a promising technology for enhancing flexibility [...] Read more.
In this work, a comprehensive literature review on power-routing devices is presented, outlining their current design principles and potential uses. Additionally, a comprehensive loss model for Modular Multilevel Converters (MMCs) in the context of power routers (PRs), a promising technology for enhancing flexibility and efficiency in future smart and hybrid AC–DC grids. Despite their potential, large-scale PR deployment is still limited by the lack of accurate and validated loss models. To address this gap, a detailed analytical model based on the Marquardt approach is proposed, capturing both conduction and switching losses in converter-based PRs. The model is validated through analytical comparison and PLECS simulations, showing strong agreement with theoretical and experimental data. Four case studies are presented to assess the effect of parameters such as power factor, active and reactive power, and the number of submodules on the overall converter losses. The results demonstrate that PR efficiency improves with optimized converter design and proper parameter selection. Full article
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22 pages, 2108 KB  
Article
Comprehensive Parameter Optimization of Composite Harmonic Injection for Capacitor Voltage Fluctuation Suppression of MMC
by Tan Li, Yingxin Wang, Bin Yuan and Yu Meng
Electronics 2026, 15(2), 359; https://doi.org/10.3390/electronics15020359 - 13 Jan 2026
Viewed by 170
Abstract
Modular multilevel converter (MMC) is widely employed in high-voltage direct current (HVDC) systems for the long-distance renewable energy transmission, where the larger submodule (SM) capacitors significantly increase its size, weight and cost. Conventional capacitor voltage fluctuation suppression methods, such as composite harmonic injection [...] Read more.
Modular multilevel converter (MMC) is widely employed in high-voltage direct current (HVDC) systems for the long-distance renewable energy transmission, where the larger submodule (SM) capacitors significantly increase its size, weight and cost. Conventional capacitor voltage fluctuation suppression methods, such as composite harmonic injection (CHI) strategies, can achieve lightweight MMC. However, these approaches often neglect the dynamic constraints between harmonic injection parameters and their coupled effect on modulation wave, which not only leads to suboptimal global solutions but also increases the risk of system overshoot. Therefore, this paper proposes a comprehensive CHI parameters optimization method to minimize capacitor voltage fluctuations, thereby allowing for a smaller SM capacitor. First, the analytical expression of SM average capacitor voltage is developed, incorporating the injected second-order harmonic circulating current and third-order harmonic voltage. On this basis, an objective function is defined to minimize the sum of the fundamental and second-order harmonic components of the average capacitor voltage, with the harmonic injection parameters and modulation index as optimization variables. Then, these parameters are optimized using a particle swarm optimization (PSO) algorithm, where their constraints are set to prevent modulation wave overshoot and additional power loss. Finally, the optimization method is validated through a ±500 kV, 1500 MW MMC-HVDC system under various power conditions in PSCAD/EMTDC (version 4.6.3). In addition, simulation results demonstrate that the proposed method can achieve a 13.33% greater reduction in SM capacitance value compared to conventional strategies. Full article
(This article belongs to the Special Issue Stability Analysis and Optimal Operation in Power Electronic Systems)
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17 pages, 3179 KB  
Article
Collaborative Suppression Strategy for AC Asymmetric Faults in Offshore Wind Power MMC-HVDC Systems
by Xiang Lu, Chenglin Ren, Shi Jiao, Jie Shi, Weicheng Li and Hailin Li
Energies 2026, 19(2), 365; https://doi.org/10.3390/en19020365 - 12 Jan 2026
Viewed by 179
Abstract
When offshore wind power is connected to a grid via Modular multilevel converter-based High Voltage Direct Current (MMC-HVDC), the sending-end alternating current (AC) system is susceptible to asymmetrical faults. These faults lead to overcurrent surges, voltage drops, and second harmonic circulating currents, which [...] Read more.
When offshore wind power is connected to a grid via Modular multilevel converter-based High Voltage Direct Current (MMC-HVDC), the sending-end alternating current (AC) system is susceptible to asymmetrical faults. These faults lead to overcurrent surges, voltage drops, and second harmonic circulating currents, which seriously threaten the safe operation of the system. To quickly suppress fault current surges, achieve precise control of system variables, and improve fault ride-through capability, this study proposes a collaborative control strategy. This strategy integrates generalized virtual impedance current limiting, positive- and negative-sequence collaborative feedforward control, and model-predictive control-based suppression of arm energy and circulating currents. The positive- and negative-sequence components of the voltage and current are quickly separated by extending and decoupling the decoupled double synchronous reference frame phase-locked loop (DDSRF-PLL). A generalized virtual impedance with low positive-sequence impedance and high negative-sequence impedance was designed to achieve rapid current limiting. Simultaneously, negative-sequence current feedforward compensation and positive-sequence voltage adaptive support are introduced to suppress dynamic fluctuations. Finally, an arm energy and circulating current prediction model based on model predictive control (MPC) is established, and the second harmonic circulating currents are precisely suppressed through rolling optimization. Simulation results based on PSCAD/EMTDC show that the proposed control strategy can effectively suppress the negative-sequence current, significantly improve voltage stability, and greatly reduce the peak fault current. It significantly enhances the fault ride-through capability and operational reliability of offshore wind power MMC-HVDC-connected systems and holds significant potential for engineering applications. Full article
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36 pages, 3742 KB  
Review
Design Optimization of EV Drive Systems: Building the Next Generation of Automatic AI Platforms
by Haotian Jiang, Yitong Wang, Gang Lei, Xiaodong Sun and Jianguo Zhu
World Electr. Veh. J. 2026, 17(1), 35; https://doi.org/10.3390/wevj17010035 - 12 Jan 2026
Viewed by 211
Abstract
This paper reviews recent developments in the design optimization of electrical drive systems for electric vehicles (EVs) and proposes a pathway to develop next-generation AI design platforms that integrate system-level optimization methods and digital twins. First, a comprehensive review is presented to five [...] Read more.
This paper reviews recent developments in the design optimization of electrical drive systems for electric vehicles (EVs) and proposes a pathway to develop next-generation AI design platforms that integrate system-level optimization methods and digital twins. First, a comprehensive review is presented to five design optimization models for EV motors, including multiphysics, multiobjective, multimode, robust, and topology optimization, as well as six efficient optimization strategies, such as multilevel optimization and AI-based approaches. Several recommendations on the practical application of these optimization strategies are also presented. Second, representative optimization methods for power converters and control systems of EV drives are summarized. Third, application-oriented and robust system-level design optimization strategies for EV drive systems are discussed. Finally, two proposals are presented and discussed for the design of next-generation EV drive systems and their integration with battery management systems. They are AI-powered automatic design optimization platforms that integrate large language models and a digital-twin-assisted system-level optimization framework. Two case studies on in-wheel motors and drive systems are also included to demonstrate the performance and effectiveness of various optimization methods. Full article
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16 pages, 2242 KB  
Article
Hydraulic Design Optimization of a Multi-Stage Overtopping Wave Energy Converter Using WCSPH Methodology Under Site-Specific Wave Conditions
by Sung-Hwan An and Jong-Hyun Lee
J. Mar. Sci. Eng. 2026, 14(2), 127; https://doi.org/10.3390/jmse14020127 - 7 Jan 2026
Viewed by 243
Abstract
In multi-level overtopping wave energy converters (OWEC), the inlet slot governs overtopping losses and the distribution of inflow among reservoirs, making it a critical design feature for maximizing hydraulic efficiency. This study defines the relative slot width as λ (=w/ [...] Read more.
In multi-level overtopping wave energy converters (OWEC), the inlet slot governs overtopping losses and the distribution of inflow among reservoirs, making it a critical design feature for maximizing hydraulic efficiency. This study defines the relative slot width as λ (=w/Lslop) and investigates its influence on the performance of an SSG-based multi-level OWEC using DualSPHysics, an open-source weakly compressible smoothed particle hydrodynamics (WCSPH) solver, in a two-dimensional recirculating numerical wave tank under regular-wave conditions. Hydraulic efficiency is evaluated as the ratio of the overtopping-stored potential-energy flux to the incident wave energy flux per unit width. The results show a nonlinear dependence of reservoir-level contributions on λ, and an intermediate λ provides a balanced contribution across upper, middle, and lower reservoirs, yielding the maximum overall efficiency. To extend the analysis beyond a single design wave, a global-state performance map in the period–height space is constructed and combined with the target-sea spectral characteristics, indicating that the optimal geometry maintains relatively robust efficiency in the dominant spectral band while revealing efficiency limitations associated with insufficient overtopping at small waves and saturation at large waves. The proposed approach provides quantitative guidance for slot design and site-relevant performance screening of multi-level OWEC. Full article
(This article belongs to the Special Issue Challenges of Marine Energy Development and Facilities Engineering)
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29 pages, 14221 KB  
Article
Integrated Control of Hybrid Thermochemical–PCM Storage for Renewable Heating and Cooling Systems in a Smart House
by Georgios Martinopoulos, Paschalis A. Gkaidatzis, Luis Jimeno, Alberto Belda González, Panteleimon Bakalis, George Meramveliotakis, Apostolos Gkountas, Nikolaos Tarsounas, Dimosthenis Ioannidis, Dimitrios Tzovaras and Nikolaos Nikolopoulos
Electronics 2026, 15(2), 279; https://doi.org/10.3390/electronics15020279 - 7 Jan 2026
Viewed by 322
Abstract
The development of integrated renewable energy and high-density thermal energy storage systems has been fueled by the need for environmentally friendly heating and cooling in buildings. In this paper, MiniStor, a hybrid thermochemical and phase-change material storage system, is presented. It is equipped [...] Read more.
The development of integrated renewable energy and high-density thermal energy storage systems has been fueled by the need for environmentally friendly heating and cooling in buildings. In this paper, MiniStor, a hybrid thermochemical and phase-change material storage system, is presented. It is equipped with a heat pump, advanced electronics-enabled control, photovoltaic–thermal panels, and flat-plate solar collectors. To optimize energy flows, regulate charging and discharging cycles, and maintain operational stability under fluctuating solar irradiance and building loads, the system utilizes state-of-the-art power electronics, variable-frequency drives and modular multi-level converters. The hybrid storage is safely, reliably, and efficiently integrated with building HVAC requirements owing to a multi-layer control architecture that is implemented via Internet of Things and SCADA platforms that allow for real-time monitoring, predictive operation, and fault detection. Data from the MiniStor prototype demonstrate effective thermal–electrical coordination, controlled energy consumption, and high responsiveness to dynamic environmental and demand conditions. The findings highlight the vital role that digital control, modern electronics, and Internet of Things-enabled supervision play in connecting small, high-density thermal storage and renewable energy generation. This strategy demonstrates the promise of electronics-driven integration for next-generation renewable energy solutions and provides a scalable route toward intelligent, robust, and effective building energy systems. Full article
(This article belongs to the Special Issue New Insights in Power Electronics: Prospects and Challenges)
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21 pages, 2591 KB  
Article
Fast Fault Identification Scheme for MMC-HVDC Grids Based on a Novel Current-Limiting DC Circuit Breaker
by Qiuyu Cao, Zhiyan Li, Xinsong Zhang, Chenghong Gu and Xiuyong Yu
Energies 2026, 19(1), 272; https://doi.org/10.3390/en19010272 - 5 Jan 2026
Viewed by 272
Abstract
The development of high-performance DC circuit breakers (DCCBs) and rapid fault detection schemes is a crucial and challenging part of advancing Modular Multilevel Converter (MMC) HVDC grids. This paper introduces a new current-limiting DCCB that uses the differential discharge times of shunt capacitors [...] Read more.
The development of high-performance DC circuit breakers (DCCBs) and rapid fault detection schemes is a crucial and challenging part of advancing Modular Multilevel Converter (MMC) HVDC grids. This paper introduces a new current-limiting DCCB that uses the differential discharge times of shunt capacitors to generate artificial current zero-crossings, thus facilitating arc quenching. This mechanism significantly reduces the effect of fault currents on the MMC. The shunt capacitors and arresters in the proposed breaker also offer voltage support during faults, effectively stopping transient traveling waves from spreading to nearby non-fault lines. This feature creates an effective line protection boundary in multi-terminal HVDC systems. Additionally, a fast fault detection scheme with primary and backup protection is proposed. A four-terminal MMC-HVDC (±500 kV) simulation model is built in PSCAD/EMTDC to validate the scheme. The results demonstrate the excellent fault detection performance of the proposed method. The voltage and current behavior during the interruption process of the new DCCB is also analyzed and compared with that of a hybrid DCCB. Full article
(This article belongs to the Topic Power System Protection)
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27 pages, 3190 KB  
Article
A Dynamic Asymmetric Overcurrent-Limiting Strategy for Grid-Forming Modular Multilevel Converters Considering Multiple Physical Constraints
by Qian Chen, Yi Lu, Feng Xu, Fan Zhang, Mingyue Han and Guoteng Wang
Symmetry 2026, 18(1), 53; https://doi.org/10.3390/sym18010053 - 27 Dec 2025
Viewed by 214
Abstract
Grid-forming (GFM) converters are promising for renewable energy integration, but their overcurrent limitation during grid faults remains a critical challenge. Existing overcurrent-limiting strategies were primarily developed for two-level converters and are often inadequate for Modular Multilevel Converters (MMCs). By overlooking the MMC’s unique [...] Read more.
Grid-forming (GFM) converters are promising for renewable energy integration, but their overcurrent limitation during grid faults remains a critical challenge. Existing overcurrent-limiting strategies were primarily developed for two-level converters and are often inadequate for Modular Multilevel Converters (MMCs). By overlooking the MMC’s unique topology and internal physical constraints, these conventional methods compromise both operational safety and grid support capabilities. Thus, this paper proposes a dynamic asymmetric overcurrent-limiting strategy for grid-forming MMCs that considers multiple physical constraints. The proposed strategy establishes a dynamic asymmetric overcurrent boundary based on three core physical constraints: capacitor voltage ripple, capacitor voltage peak, and the modulation signal. This boundary accurately defines the converter’s true safe operating area under arbitrary operating conditions. To address the complexity of the boundary’s analytical form for real-time application, an offline-trained neural network is introduced as a high-precision function approximator to efficiently and accurately reproduce this dynamic asymmetric boundary. The effectiveness of the proposed strategy is verified by hardware-in-the-loop experiments. Experimental results demonstrate that the proposed strategy reduces the capacitor voltage ripple by 30.7% and maintains the modulation signal safely within the linear range, significantly enhancing both system safety and fault ride-through performance. Full article
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18 pages, 3330 KB  
Article
A Seven-Level Single-DC-Source Inverter with Triple Voltage Gain and Reduced Component Count
by Ziyang Wang, Decun Niu, Jingyang Fang, Minghao Chen, Lei Zhang, Wei Zhang, Dong Wang and Qianli Ma
Appl. Sci. 2026, 16(1), 215; https://doi.org/10.3390/app16010215 - 24 Dec 2025
Viewed by 340
Abstract
This paper proposes a novel seven-level switched-capacitor multilevel inverter featuring a shared front-end DC-link structure that achieves triple voltage gain with reduced component count. A distinctive feature of this design is its inherent capacitor voltage self-balancing capability, thereby eliminating the need for complex [...] Read more.
This paper proposes a novel seven-level switched-capacitor multilevel inverter featuring a shared front-end DC-link structure that achieves triple voltage gain with reduced component count. A distinctive feature of this design is its inherent capacitor voltage self-balancing capability, thereby eliminating the need for complex control algorithms typically associated with multilevel converters. Moreover, the topology demonstrates particularly significant advantages in three-phase implementations, where a single DC source, front-end switching devices, and capacitors can be shared across all phases—thus substantially reducing component count and system complexity compared to conventional designs. Additionally, this paper proposes an improved carrier-based modulation strategy for this topology requiring only a single triangular carrier, along with a systematic method for determining optimal capacitance values. Through detailed comparative assessment against state-of-the-art switched-capacitor seven-level inverters, the superior performance characteristics of the proposed topology are clearly demonstrated. Finally, simulation results under various operating conditions are presented and subsequently validated through experimental testing on a laboratory prototype, confirming the practical viability of the proposed solution. Full article
(This article belongs to the Special Issue Recent Developments in Electric Vehicles, Second Edition)
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23 pages, 692 KB  
Article
Emergency-Evacuation Safety Evaluation of Temporary Examination Rooms in University Teaching Buildings Based on Grey Relational Analysis
by Yijing Huang, Heng Yu, Zhao Yang, Xiao Hu and Xiulin Pan
Appl. Sci. 2026, 16(1), 210; https://doi.org/10.3390/app16010210 - 24 Dec 2025
Viewed by 216
Abstract
With the growing scale of university examinations, teaching buildings are increasingly converted into temporary examination venues, raising concerns regarding crowding conditions and evacuation safety. This study proposes a comprehensive evaluation framework for assessing evacuation safety in temporary examination-room settings using Grey Relational Analysis [...] Read more.
With the growing scale of university examinations, teaching buildings are increasingly converted into temporary examination venues, raising concerns regarding crowding conditions and evacuation safety. This study proposes a comprehensive evaluation framework for assessing evacuation safety in temporary examination-room settings using Grey Relational Analysis (GRA). A multi-level indicator system covering structural conditions, evacuation facilities, organizational management, personnel characteristics, and emergency preparedness is established. Through data standardization, weight assignment, and computation of grey relational coefficients, the framework quantitatively identifies the key factors affecting evacuation performance. A case study of a university teaching building yields an overall grey relational grade of 0.5956, corresponding to a “Moderate to Relatively Safe” level. Although most safety measures meet baseline requirements, several localized bottlenecks remain. In particular, insufficient corridor width, long evacuation distances, and inadequate emergency lighting reduce overall performance. Scenario-based improvement analyses indicate that targeted measures—such as widening critical corridors, optimizing evacuation path layouts, and enhancing emergency lighting—can substantially raise the grey relational grade and mitigate evacuation risks. The proposed evaluation model offers a practical and scalable tool for assessing and improving evacuation safety in teaching buildings repurposed as temporary examination venues. Full article
(This article belongs to the Section Civil Engineering)
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15 pages, 4016 KB  
Article
Research on Dual−Loop Model Predictive Control Based on Grid−Side Current for MMC−HVDC Systems in Wind Power
by Duanjiao Li, Yanjun Ma, Xinxin Chen, Junjun Zhang, Zhaoqing Hu, Dejun Ba, Lijun Hang and Xiaofeng Lyu
Processes 2026, 14(1), 57; https://doi.org/10.3390/pr14010057 - 23 Dec 2025
Viewed by 354
Abstract
This paper proposes a dual−loop model predictive control (MPC) scheme based on grid−side current for modular multilevel converter−based high−voltage direct current (MMC−HVDC) systems. The proposed hybrid control structure combines an MPC−based inner current loop with a PI−based outer voltage loop, designed to enhance [...] Read more.
This paper proposes a dual−loop model predictive control (MPC) scheme based on grid−side current for modular multilevel converter−based high−voltage direct current (MMC−HVDC) systems. The proposed hybrid control structure combines an MPC−based inner current loop with a PI−based outer voltage loop, designed to enhance dynamic response and steady−state accuracy in HVDC transmission. With the advancement of flexible HVDC technology, modular multilevel converters (MMCs) have been widely adopted due to their excellent scalability and operational flexibility. Model predictive control (MPC), as an advanced control strategy, has demonstrated significant advantages in MMC−HVDC applications. In this study, a dual−loop control system is designed, with MPC as the inner current loop and PI control as the outer voltage loop. This structure effectively enhances control accuracy and ensures system reliability. To validate the effectiveness of the proposed control strategy, a 1000 MW wind power integration MMC−HVDC simulation model was built in Simulink. Simulation results show that the proposed dual−loop MPC strategy can significantly improve control precision and maintain the reliability of the MMC−HVDC system. The proposed strategy is validated through detailed simulations of a 1000 MW wind−integrated MMC−HVDC system, demonstrating superior performance over conventional PI control in terms of overshoot reduction and disturbance rejection. Full article
(This article belongs to the Special Issue Renewables Integration and Hybrid System Modelling)
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29 pages, 4561 KB  
Article
Straightforward Multilevel Space Vector Modulation for a Modular Multilevel Converter for PV Generation
by Santiago de Pablo, Yad N. Bakir, Fernando Martinez-Rodrigo, Luis C. Herrero-de-Lucas and Alexis B. Rey-Boue
Electronics 2026, 15(1), 53; https://doi.org/10.3390/electronics15010053 - 23 Dec 2025
Viewed by 224
Abstract
Many methods have been developed for multilevel Space Vector Modulation (SVM), but despite their inherent advantages, all of them have been more complex than the alternative option of using Pulse Width Modulation (PWM) with sinusoidal or modified references. Different axes like g-h at [...] Read more.
Many methods have been developed for multilevel Space Vector Modulation (SVM), but despite their inherent advantages, all of them have been more complex than the alternative option of using Pulse Width Modulation (PWM) with sinusoidal or modified references. Different axes like g-h at 60° or ja-jb-jc at 120° have been used to simplify the operations to find the three nearest vectors and their duty cycles, but the control signals of multilevel converters are the duty cycles of phases, not the duty cycles of vectors. Moreover, throughout this paper, it was found that local information is not sufficient to compute the duty cycles of the phases: global information should be taken into account to obtain full control on the common mode voltage (CMV), and the selection of the starting vector in the switching sequence is also critical to obtain a balanced CMV. The natural coordinates ab-bc-ca were used in this paper, and a straightforward method is proposed for multilevel SVM: a method that is comparable in complexity to multilevel PWM with modified references and leads to exactly the same control signals. This method can be used as an easy starting point to develop other SVM techniques for multilevel converters. Full article
(This article belongs to the Special Issue New Horizons and Recent Advances of Power Electronics)
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16 pages, 1632 KB  
Article
Dynamic Time Warping-Based Differential Protection Scheme for Transmission Lines in Flexible Fractional Frequency Transmission Systems
by Wei Jin, Shuo Zhang, Rui Liang and Jifeng Zhao
Electronics 2026, 15(1), 45; https://doi.org/10.3390/electronics15010045 - 23 Dec 2025
Viewed by 178
Abstract
The integration of large-scale offshore wind power, facilitated by Flexible Fractional Frequency Transmission Systems (FFFTS), presents significant challenges for traditional transmission line protection. The fault current fed by the Modular Multilevel Matrix Converter (M3C) exhibits weak-infeed and controlled characteristics during faults, severely degrading [...] Read more.
The integration of large-scale offshore wind power, facilitated by Flexible Fractional Frequency Transmission Systems (FFFTS), presents significant challenges for traditional transmission line protection. The fault current fed by the Modular Multilevel Matrix Converter (M3C) exhibits weak-infeed and controlled characteristics during faults, severely degrading the sensitivity of conventional current differential protection. Moreover, the stringent synchronization requirement for data from both line ends further compromises reliability. To address this issue, this paper proposes a novel differential protection scheme based on the Dynamic Time Warping (DTW) algorithm. The method leverages the DTW algorithm to quantify and compare the variation trends of current waveforms on both sides of the line before and after a fault. By utilizing the pre-fault current as a reference sequence, the scheme constructs a protection criterion that is inherently insensitive to synchronization errors. A key innovation is its capability for fault identification and phase selection under weak synchronization conditions. Simulation results demonstrate that the proposed scheme operates correctly within 0.5 ms, exhibits high sensitivity with a DTW ratio significantly greater than 2.0 during internal faults, and remains stable during external faults. It also shows strong robustness against high transition resistance, noise interference, and current transformer sampling errors. Full article
(This article belongs to the Special Issue Cyber-Physical System Applications in Smart Power and Microgrids)
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