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Keywords = high voltage direct current (HVdc)

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19 pages, 5064 KB  
Article
Effectiveness of Fuzzy Logic Controller in Maintaining Stability of Digital Twin-Enabled Offshore Wind Farm (OWF) Integrated with HVDC Grid
by Yamini Gaddam and Mohd. Hasan Ali
Electronics 2026, 15(13), 2790; https://doi.org/10.3390/electronics15132790 (registering DOI) - 24 Jun 2026
Abstract
Offshore wind farms are increasingly and rapidly expanding due to their ability to harness strong and consistent wind energy resources. Large offshore wind farms are connected to mainland grids through High-Voltage Direct Current (HVDC) technology. However, offshore wind farms can often experience disturbances [...] Read more.
Offshore wind farms are increasingly and rapidly expanding due to their ability to harness strong and consistent wind energy resources. Large offshore wind farms are connected to mainland grids through High-Voltage Direct Current (HVDC) technology. However, offshore wind farms can often experience disturbances related to sudden wind changes, voltage drops/dips, faults related to converter switching, and unbalanced grid conditions which affect both the HVDC operation and wind turbine output. As a result, there is a growing need for more advanced and reliable modeling and monitoring tools. Moreover, traditional proportional-integral (PI) controllers are widely applied in wind turbines and HVDC systems due to their simple structure, easy implementation, and reliability. However, PI controllers perform poorly under non-linear and abnormal/fast-changing conditions, especially during sudden drops in wind power and grid faults. With this background, this paper first develops a digital twin model of an offshore wind farm that enables remote operation and monitoring of individual wind turbines. Also, an artificial intelligence (AI)-based controller, namely a fuzzy logic controller (FLC), is proposed to maintain transient stability of a full digital twin-based offshore wind farm connected to the HVDC grid under fault conditions. The effectiveness of the proposed FLC is demonstrated by considering a digital twin-enabled 700 MW offshore wind farm. The performance of the proposed FLC has been compared with that of the PI controller. Simulations performed by the MATLAB/Simulink software show that during the moderate voltage dip at 15 s, the PI controller experienced a 29.8% power reduction with a recovery time of approximately 9 s, whereas the FLC reduced the power drop to 23.1% and recovered within 6 s. During the severe converter disturbance at 15 s, the PI controller recorded a 36.9% power reduction compared to 23.4% for the FLC. Similarly, during the short-duration turbulence at 15 s, the PI controller exhibited a 36.73% power drop and recovered in approximately 7 s, while the FLC limited the power reduction to 19.17% and recovered within 5s. Overall, the FLC provided improved voltage stability, faster recovery, reduced oscillations, and superior fault ride-through capability compared with the conventional PI controller, demonstrating its effectiveness for digital twin-enabled offshore wind farm application. Full article
17 pages, 4941 KB  
Article
Coordinated AC Fault Ride-Through Strategy for Wind Farms Integration via MMC-HVDC Using DC-Side Energy Storage
by Jie Liu, Yuzhi Gui, Shuang Dong, Bin Liu, Shize Zhao, Pu Yang, Mingzhi Lu and Yinfeng Sun
Energies 2026, 19(12), 2935; https://doi.org/10.3390/en19122935 (registering DOI) - 22 Jun 2026
Viewed by 146
Abstract
In the context of the new power system, modular multilevel converter high-voltage direct current (MMC-HVDC) has become a key technical solution for the large-scale grid integration of wind power. However, when a fault occurs in the AC grid at the system receiving end, [...] Read more.
In the context of the new power system, modular multilevel converter high-voltage direct current (MMC-HVDC) has become a key technical solution for the large-scale grid integration of wind power. However, when a fault occurs in the AC grid at the system receiving end, the high-voltage direct current (HVDC) system faces challenges such as wind power redundancy, DC overvoltage, and equipment overcurrent. To address this, this paper proposes an energy storage-coordinated fault ride-through (FRT) control strategy suitable for different fault scenarios. The strategy optimizes the allocation of energy storage capacity according to the state of charge (SOC) of the energy storage units (ESUs), preventing individual ESUs from prematurely shutting down and reducing energy dissipation. Finally, a comparison with a conventional DC dissipation resistor scheme on the PSCAD/EMTDC platform demonstrates that the proposed strategy provides smoother power regulation characteristics and smaller DC voltage fluctuations, thereby enhancing the economic efficiency and reliability of system operation. Full article
(This article belongs to the Section F1: Electrical Power System)
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18 pages, 1050 KB  
Article
An Optimization Model Solution Method for Transient Voltage Stability Emergency Control in High-Voltage DC Receiving End
by Weigang Jin, Tao Lin, Jiawei Zhang, Jiayi Wang, Jun Li and Chen Li
Energies 2026, 19(12), 2926; https://doi.org/10.3390/en19122926 (registering DOI) - 21 Jun 2026
Viewed by 112
Abstract
In the context of the “dual-carbon” target, the large-scale integration of renewable energy sources leads to an increased risk of transient voltage instability at the high voltage direct current (HVDC) transmission receiving end. The HVDC transmission system possesses fast and accurate power regulation [...] Read more.
In the context of the “dual-carbon” target, the large-scale integration of renewable energy sources leads to an increased risk of transient voltage instability at the high voltage direct current (HVDC) transmission receiving end. The HVDC transmission system possesses fast and accurate power regulation capability. After a fault occurs near the inverter station, reducing the DC current enables the reactive power from the compensation devices to be released and injected into the receiving-end power grid, thereby providing emergency voltage support for the receiving-end grid. To reduce control costs, an optimization model constrained by transient voltage violation is established, and the DC current modulation is acquired via an online solution. To maintain system stability and meet the requirements of online applications, it is crucial to rapidly solve the optimization model based on the grid operating mode and contingency information to update the emergency control strategy table in the special protection system (SPS). Conventional global orthogonal collocation (GOC) and adaptive orthogonal collocation (AOC)-based solution methods transform the optimization model in the continuous time domain into a nonlinear programming (NLP) problem for solution, which addresses the low efficiency of traditional rolling optimization. However, the GOC- and AOC-based solution methods improve the discretization accuracy of the model by pursuing global uniform densification of collocation points, making it difficult to balance solution accuracy and solution efficiency. To this end, this paper proposes an efficient interval partition dynamic adaptive orthogonal collocation (IP-DAOC)-based solution method. Firstly, the overall optimization time window is interval-partitioned into multiple initial intervals, and an interval-partitioned transient voltage stability emergency control optimization model is established. Furthermore, the interval length and the number of collocation points are dynamically adjusted according to the curvature of interpolation polynomials at collocation points in different intervals. Finally, after interval adjustment, the dynamic equations discretized in adjacent intervals are made continuous by reconstructing the differential matrix. This solution method reduces the total number of collocation points, thereby decreasing the scale of the NLP problem and narrowing the search space, significantly improving solution efficiency while ensuring solution accuracy. To verify the effectiveness of the proposed solution method, simulations are carried out on a modified IEEE 14-bus system. The results are compared with those of the traditional GOC- and AOC-based solution methods, which further demonstrate the superiority of the proposed solution method. Full article
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22 pages, 6659 KB  
Article
Active Resonance Suppression Strategy for Hybrid Multi-Infeed HVDC Receiving-End Grid with LCC and MMC
by Wen Hua, Chengming Zhang, Tian Hou, Guoteng Wang and Ying Huang
Electronics 2026, 15(12), 2725; https://doi.org/10.3390/electronics15122725 (registering DOI) - 20 Jun 2026
Viewed by 112
Abstract
As renewable energy is increasingly integrated via high-voltage direct current (HVDC) transmission, hybrid multi-infeed receiving-end grids containing both line-commutated converters (LCC) and modular multilevel converters (MMC) have become common, and wideband resonance problems in power-electronized networks are growing more prominent. This paper proposes [...] Read more.
As renewable energy is increasingly integrated via high-voltage direct current (HVDC) transmission, hybrid multi-infeed receiving-end grids containing both line-commutated converters (LCC) and modular multilevel converters (MMC) have become common, and wideband resonance problems in power-electronized networks are growing more prominent. This paper proposes an active resonance analysis and suppression strategy for such systems. First, a wideband current source converter model and a wideband voltage source converter model are adopted to describe the LCC and MMC, respectively, and a positive-sequence s-domain model of the system is established. A two-stage s-domain nodal admittance matrix method is then applied to efficiently determine the wideband resonance modes and the corresponding mode shape eigenvectors. A dual criterion combining the matching degree between resonance frequencies and LCC characteristic harmonics with the modal damping ratio identifies high-risk resonance modes. On this basis, an active damping strategy that realizes a parallel virtual resistance on the AC side through MMC supplementary control is proposed, together with a quantitative design method for the virtual conductance. At the control implementation level, a modulation wave reconstruction bypass injection scheme superimposes the high-frequency damping command directly in the αβ stationary reference frame, thereby bypassing the PI controller and reducing the amplitude attenuation and phase distortion caused by the high-frequency limitation of the integral path. PSCAD/EMTDC simulation results on an IEEE 9-bus test system demonstrate that the proposed strategy effectively suppresses resonance amplification and wideband power oscillations excited by LCC characteristic harmonics without affecting the fundamental power transmission. Full article
(This article belongs to the Special Issue Advanced Power Converter Technologies for Smart Grids)
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13 pages, 1441 KB  
Article
An Elliptic Model-Based Fast Estimation Method of Positive and Negative Sequence Amplitudes for Unbalanced Grid Voltages
by Youfeng Zhou, Guangqi Li, Xuetong Wang, Wenzhe Hao, Jiawei Yu, Yihua Zhu, Chao Luo, Zhiyong Dai and Xinxin Sun
Electronics 2026, 15(12), 2694; https://doi.org/10.3390/electronics15122694 - 17 Jun 2026
Viewed by 164
Abstract
In this paper, a novel elliptic algebraic model-based positive- and negative-sequence amplitude estimation method is proposed for unbalanced grid voltages. By exploiting the intrinsic elliptic trajectory of unbalanced voltage vectors in the αβ stationary reference frame, an explicit algebraic relationship between the [...] Read more.
In this paper, a novel elliptic algebraic model-based positive- and negative-sequence amplitude estimation method is proposed for unbalanced grid voltages. By exploiting the intrinsic elliptic trajectory of unbalanced voltage vectors in the αβ stationary reference frame, an explicit algebraic relationship between the sequence amplitudes and the elliptic geometric parameters is established. Consequently, the conventional sequence decomposition problem is reformulated as an elliptic parameter identification problem. Based on the proposed elliptic algebraic framework, an online parameter identification scheme is developed to estimate the elliptic parameters and reconstruct the sequence amplitudes. A Lyapunov-based global asymptotic stability analysis is also presented to verify the convergence property of the proposed identification framework. Experimental results further validate the effectiveness of the proposed method. Full article
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22 pages, 3609 KB  
Article
Mechanism and Coordinated Suppression Strategy for High-Frequency Oscillation in Receiving-End MMC-Based HVDC Systems
by Chenzhi Fang, Zhishuai Hu, Bin He, Yongfeng Ren and Zhenzhou Zhao
Energies 2026, 19(12), 2752; https://doi.org/10.3390/en19122752 - 8 Jun 2026
Viewed by 191
Abstract
In receiving-end modular multilevel converter (MMC)-based flexible high-voltage direct current (HVDC) grid-connected systems, high-frequency oscillation can significantly increase the peak values of the point of common coupling (PCC) voltage and grid current. To address this issue, this paper proposes a coordinated suppression strategy [...] Read more.
In receiving-end modular multilevel converter (MMC)-based flexible high-voltage direct current (HVDC) grid-connected systems, high-frequency oscillation can significantly increase the peak values of the point of common coupling (PCC) voltage and grid current. To address this issue, this paper proposes a coordinated suppression strategy for high-frequency oscillation in receiving-end MMC grid-connected systems. First, an MMC impedance model is established based on harmonic linearization, and its frequency-domain interaction with the grid impedance is analyzed to clarify the formation mechanism of high-frequency oscillation and its main influencing factors. Then, considering the different roles of the voltage feedforward and current feedback channels in the target frequency band, a coordinated suppression strategy combining band-stop filtering in the voltage feedforward path with low-pass filtering and lead compensation in the current feedback path is designed. Hardware-in-the-loop experimental results show that the proposed method effectively identifies and suppresses high-frequency oscillation. Under the validated operating condition, the oscillation-induced peak increases in the PCC voltage and grid current are limited to within 20% and 12.5%, respectively, thereby suppressing further oscillation growth and reducing the risk of approaching the overvoltage and overcurrent protection thresholds. Full article
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15 pages, 1886 KB  
Article
A Dynamic Threshold Adjustment-Based Low-Switching-Frequency Voltage Equalization Strategy for MMC
by Xinxin Chen, Yanjun Ma, Duanjiao Li, Wenxing Sun, Junjun Zhang, Dejun Ba, Lijun Hang and Xiaofeng Lyu
Processes 2026, 14(11), 1792; https://doi.org/10.3390/pr14111792 - 30 May 2026
Viewed by 268
Abstract
This paper addresses the capacitor voltage balancing issue of submodules (SMs) in Modular Multilevel Converters (MMCs) operating under low switching frequencies by proposing a voltage balancing control strategy based on dynamic threshold adjustment. First, a dynamic model of SM capacitor voltage in MMCs [...] Read more.
This paper addresses the capacitor voltage balancing issue of submodules (SMs) in Modular Multilevel Converters (MMCs) operating under low switching frequencies by proposing a voltage balancing control strategy based on dynamic threshold adjustment. First, a dynamic model of SM capacitor voltage in MMCs is established, and the causes of capacitor voltage imbalance are analyzed. Then, based on the coupling relationship between switching frequency and voltage balancing, and the imbalance model under dynamic operating conditions, a dynamic threshold adjustment strategy is designed. A Fuzzy Logic Controller (FLC) is employed to dynamically adjust the voltage imbalance threshold in real time, ensuring capacitor voltage balance while optimizing the switching frequency and reducing system losses. Simulation results show that the proposed strategy can effectively maintain SM capacitor voltage balance under low-switching-frequency conditions, thereby improving system stability. Full article
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22 pages, 22317 KB  
Article
Modelling and Simulation of Low-Voltage Fault Behavior in Hybrid Multiterminal LCC-VSC HVDC System Integrated with Renewable Energy Sources
by Olumoroti Ikotun, Evans Eshiemogie Ojo and Musasa Kabeya
Energies 2026, 19(11), 2577; https://doi.org/10.3390/en19112577 - 27 May 2026
Viewed by 166
Abstract
Some previous studies argue that under the conditions of a double line to ground fault at the point of common coupling at the inverter end, the AC grid voltage of phases A and B will decrease along with the same level while the [...] Read more.
Some previous studies argue that under the conditions of a double line to ground fault at the point of common coupling at the inverter end, the AC grid voltage of phases A and B will decrease along with the same level while the phase C will maintain at a stable steady state and this will lead to an excess increase in the voltage level of the high voltage direct current (HVDC) link. Presented in this paper is a model that comprises the hybrid multiterminal line commutated converters and the voltage source converter HVDC system. This model was mathematically modelled and implemented on Matlab/Simulink software in order to investigate the fault behavior, with a particular emphasis on double line to ground fault at different fault resistances. The system under study consists of a fault switch timer, photovoltaic solar array, wind energy conversion system, inverter control for the voltage source converter, Inductor–capacitor–inductor (LCL) filter and PI section line. The findings of this study indicated that during the double line to ground fault at varying fault resistances, the AC grid voltage in phase A will experience a more pronounced decrease compared to phase B. In contrast, phase C will exhibit only a slight reduction in voltage at the inverter end. Similarly, at the inverter end of the hybrid system, it was observed that the AC grid currents for the affected phases, specifically phases A and B, will experience an increase. It is further discovered that phase C will maintain relatively stable condition without increasing or decreasing during a double line to ground fault event. In addition, it is noted that the HVDC link voltage will decrease while the HVDC link current will increase depending on any fault resistance values. Thus, the inferences as a result of this study are presented in this paper. Full article
(This article belongs to the Section F1: Electrical Power System)
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35 pages, 2349 KB  
Article
Collaborative Optimization of Intelligent Marketing and Imbalance Settlement in Power E-Commerce Based on Intelligent Algorithms: A Case Study of High Renewable Energy Penetration Sending-End Grids
by Helong Fang, Zelin Li, Jingyu Li, Ye Tao and Yingying Wang
Processes 2026, 14(11), 1726; https://doi.org/10.3390/pr14111726 - 26 May 2026
Viewed by 244
Abstract
With the rising proportion of renewable energy in power systems, electricity markets are confronting escalating challenges driven by the accumulation of imbalance funds, especially in high renewable penetration sending-end grids with large-scale high voltage direct current (HVDC) transmission. Existing studies have not fully [...] Read more.
With the rising proportion of renewable energy in power systems, electricity markets are confronting escalating challenges driven by the accumulation of imbalance funds, especially in high renewable penetration sending-end grids with large-scale high voltage direct current (HVDC) transmission. Existing studies have not fully addressed the impact of renewable energy volatility and HVDC plan deviations on imbalance settlement, and lack an optimization framework that balances market fairness and system security constraints. This paper takes the electricity market of a northwestern province in China as the research object, first identifies the main sources of imbalance funds, and then develops a multi-objective settlement optimization model centered on minimizing imbalance funds, which integrates system power balance, nodal voltage limits, generation plan deviation, and HVDC transmission constraints. A responsibility attribution-based imbalance fund allocation mechanism is further proposed to improve market fairness. Empirical analysis based on actual market data shows that the optimized settlement mechanism reduces imbalance funds by an average of 28.9% under typical scenarios, and significantly improves market operational efficiency. This study provides a practical solution for the sustainable development of high renewable penetration electricity markets. Full article
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17 pages, 4844 KB  
Article
Photon-Counting-Based Characterization and Classification of Partial Discharge for HVDC Gas-Insulated Equipment
by Yixuan Zhou, Weiqi Qin, Zehao Zhang, Chuanyang Li and Jinliang He
Energies 2026, 19(11), 2535; https://doi.org/10.3390/en19112535 - 25 May 2026
Viewed by 251
Abstract
High-sensitivity detection of direct current (DC) partial discharge (PD) in HVDC gas-insulated equipment (GIE) remains challenging because conventional electrical measurements are susceptible to ambient interference and DC PD lacks a phase reference for phase-resolved analysis. Although photon counting techniques provide exceptional sensitivity and [...] Read more.
High-sensitivity detection of direct current (DC) partial discharge (PD) in HVDC gas-insulated equipment (GIE) remains challenging because conventional electrical measurements are susceptible to ambient interference and DC PD lacks a phase reference for phase-resolved analysis. Although photon counting techniques provide exceptional sensitivity and noise immunity, their diagnostic application has so far been confined to alternating current (AC) conditions. In this study, a photon-counting-based measurement platform was developed to investigate DC PD generated by three representative gas–solid insulation defects, namely conductor protrusion, surface-attached metal, and free metallic particle. Photon pulse sequences were acquired under both positive and negative voltage polarities. Successive inter-pulse time intervals were then mapped into two-dimensional kernel density estimation heatmaps to visualize defect-dependent temporal characteristics. A Random Forest classifier, integrated with SHapley Additive exPlanations (SHAP) for feature reduction, was employed for quantitative classification. The proposed method achieved classification accuracies of 97.50% and 99.17% for positive and negative polarities, respectively. Notably, the model adaptively prioritized angular-distribution features over radial-distribution features under space-charge-suppressed conditions. These results demonstrate the feasibility of photon-counting-based time-domain characterization and defect classification for DC PD, providing a quantitative, less experience-dependent framework for insulation defect identification in DC gas-insulated systems. Full article
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25 pages, 5566 KB  
Article
Optimal Wavelet Selection for DC Fault Detection in Multi-Terminal VSC-HVDC Grids: A Performance Comparison with HIL Validation
by Akash Sovis, Manilka Jayasooriya, Muhammad Naveed Iqbal, Kamran Daniel, Hadi Ashraf Raja, Rana Arslan Qadar and Noman Shabbir
Appl. Sci. 2026, 16(11), 5186; https://doi.org/10.3390/app16115186 - 22 May 2026
Viewed by 335
Abstract
Rapid and reliable DC fault detection is critical to the safe operation of Voltage Source Converter High Voltage Direct Current (VSC-HVDC) multi-terminal grids, where low system impedance causes fault currents to rise within milliseconds, demanding detection within 1 ms. Discrete Wavelet Transform (DWT) [...] Read more.
Rapid and reliable DC fault detection is critical to the safe operation of Voltage Source Converter High Voltage Direct Current (VSC-HVDC) multi-terminal grids, where low system impedance causes fault currents to rise within milliseconds, demanding detection within 1 ms. Discrete Wavelet Transform (DWT) has emerged as a leading signal processing technique for this purpose. However, no comprehensive performance study exists comparing the principal mother wavelets Daubechies (db), Symlets (sym), and Coiflets (coif) across the key operational variables of noise environment, cable length, and grid topology. This paper presents a systematic comparative evaluation of six wavelets (db4, db8, sym3, sym5, coif3, coif5) for DC fault detection in both three-terminal and four-terminal VSC-HVDC grids, assessing performance against four metrics: detection delay, accuracy, noise tolerance, and computational efficiency. Internal close-up and internal remote DC faults were simulated under no-noise conditions and white Gaussian noise levels of 30 dB, 20 dB, and 10 dB, with additional tests at cable lengths of 50 km and 400 km. Results demonstrate that db4 consistently achieves the lowest detection delay with high accuracy for four-terminal configurations under varying noise conditions, while sym3 proves most adaptable across both topologies for multiple cable lengths owing to its consistent detection delay. Real-time validation using an OPAL-RT hardware-in-the-loop (HIL) platform confirms the simulation findings, reinforcing the suitability of sym3 for multi-terminal grid deployment. These results provide actionable guidance for the selection of mother wavelets in DWT-based protection algorithms for modern VSC-HVDC systems. Full article
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19 pages, 2383 KB  
Article
Research on Application Performance of Controllable Line-Commutated Converters with Supporting Reactive Power Capability Dynamically
by Tingting Deng, Zhaoxin Du, Wenbin Zhao, Jing Zhang and Guangqing Zhang
Energies 2026, 19(10), 2428; https://doi.org/10.3390/en19102428 - 18 May 2026
Viewed by 258
Abstract
Conventional high-voltage direct current (HVDC) systems based on line-commutated converters (LCC) are prone to commutation failures and consume excessive reactive power during AC grid faults. The controllable line-commutated converter (CLCC) was developed to solve these problems. To further investigate CLCC’s practical application in [...] Read more.
Conventional high-voltage direct current (HVDC) systems based on line-commutated converters (LCC) are prone to commutation failures and consume excessive reactive power during AC grid faults. The controllable line-commutated converter (CLCC) was developed to solve these problems. To further investigate CLCC’s practical application in the AC system, this paper proposes a fixed AC voltage control strategy for the inverter-side CLCC. A hybrid LCC-CLCC HVDC transmission system model is built in PSCAD. Simulations are performed under three-phase short-circuit faults and wind power fluctuation scenarios. The results show that, unlike traditional LCC, the CLCC under the proposed control can actively increase its firing angle over 160 degrees during disturbances. This action injects dynamic reactive power into the grid and significantly reduces the AC bus voltage drop. Especially in weak grid conditions, CLCC can greatly reduce reactive power consumption through wide-range active adjustment of the firing angle, thereby improving voltage stability. Full article
(This article belongs to the Section F: Electrical Engineering)
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24 pages, 3883 KB  
Article
Research on FOPID Controller and CMOPSO Optimization for Prevention and Control of Oscillatory Instability at the PCC in a Hydro–Wind–Photovoltaic Grid-Connected System
by Bojin Tang, Weiwei Yao, Teng Yi, Rui Lv, Zhi Wang and Chaoshun Li
Electronics 2026, 15(10), 2104; https://doi.org/10.3390/electronics15102104 - 14 May 2026
Viewed by 216
Abstract
To address the key problems of low-frequency oscillation and insufficient regulation accuracy at the Point of Common Coupling (PCC) in hydro–wind–photovoltaic hybrid systems, which are caused by the randomness of wind and photovoltaic output, the water-hammer effect of hydropower units, and multi-source power [...] Read more.
To address the key problems of low-frequency oscillation and insufficient regulation accuracy at the Point of Common Coupling (PCC) in hydro–wind–photovoltaic hybrid systems, which are caused by the randomness of wind and photovoltaic output, the water-hammer effect of hydropower units, and multi-source power coupling, a joint control strategy based on Fractional-Order Proportional Integral Derivative (FOPID) and Co-evolutionary Multi-objective Particle Swarm Optimization (CMOPSO) is proposed. First, a small-signal transfer function model of the system covering photovoltaic inverters, doubly fed induction generators (DFIGs), hydropower units and voltage-source converter-based high-voltage direct current (VSC-HVDC) converter stations is established to accurately characterize the water-hammer effect and multi-source dynamic coupling characteristics. Second, a Caputo-type FOPID controller is designed. Compared with traditional integer-order controllers with limited tuning flexibility, the FOPID controller utilizes its five degrees of freedom to address specific multi-source coupling challenges. This precisely compensates for the non-minimum phase lag caused by the water-hammer effect in hydropower units via the fractional derivative link, and effectively smooths the impact of stochastic wind–solar fluctuations on PCC voltage through the memory characteristics of the fractional integral link. This multi-parameter regulation mechanism prevents a trade-off between response speed and overshoot suppression, achieving effective decoupling of complex multi-source dynamic interactions. Third, a dual-objective optimization framework with the Integral of Time-weighted Absolute Error (ITAE) and Oscillatory Disturbance Risk Index (ODRI) as the objectives is constructed. The multi-population co-evolution mechanism of the CMOPSO algorithm is adopted to solve the Pareto-optimal solution set, realizing the coordinated optimization of dynamic response accuracy and oscillation instability risk. Finally, comparative simulations are carried out on the Simulink platform with traditional PI/FOPI controllers and optimization algorithms such as Multi-objective Particle Swarm Optimization based on the Decomposition/Simple Indicator-Based Evolutionary Algorithm (MPSOD/SIBEA). The results show that the proposed strategy can effectively suppress low-frequency oscillations in the range of 0~30 Hz. Compared with the traditional PI controller, the PCC voltage overshoot is reduced by more than 40%, the oscillation decay time is shortened by 33%, the ITAE and ODRI indices are decreased by 12.58% and 2.47%, respectively, and the stability of DC bus voltage is significantly improved. Its robustness and comprehensive control performance are superior to existing methods, providing an efficient and stable control scheme for power electronics-dominated complex new energy grid-connected systems. Full article
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18 pages, 5643 KB  
Article
Modeling Methods for Internal Transient Processes of Controllable Line-Commutated Converters Under AC Voltage Disturbance
by Mengting Yang, Zhaoxin Du and Wenbin Zhao
Energies 2026, 19(10), 2280; https://doi.org/10.3390/en19102280 - 8 May 2026
Viewed by 368
Abstract
A Controllable Line-Commutated Converter (CLCC) is a novel piece of equipment for enhancing the commutation failure resistance of High-Voltage Direct Current (HVDC) transmission systems. Traditional lumped parameter models ignore the high-frequency coupling effects of internal distributed stray capacitances, resulting in insufficient transient simulation [...] Read more.
A Controllable Line-Commutated Converter (CLCC) is a novel piece of equipment for enhancing the commutation failure resistance of High-Voltage Direct Current (HVDC) transmission systems. Traditional lumped parameter models ignore the high-frequency coupling effects of internal distributed stray capacitances, resulting in insufficient transient simulation accuracy and restricting refined engineering design. Taking the CLCC in the HVDC transformation project as the research object, this paper analyzes the distribution characteristics of stray parameters in a press-pack Insulated Gate Bipolar Transistor (IGBT) under stacked structures. By integrating distributed stray parameter networks with the nonlinear characteristics of the devices, an improved IGBT equivalent circuit model is established, with key parameters identified based on field-measured data. Furthermore, an LCC-CLCC simulation model is built and used to replace the improved IGBT model to conduct short-circuit fault simulation verification. The results demonstrate that the high-fidelity model accurately reproduces transient waveforms under Alternating Current (AC) voltage disturbance and faithfully reflects the actual operating characteristics of a surge arrester and IGBT, thereby effectively compensating for the idealized errors inherent in traditional models. This modeling methodology provides a robust theoretical and simulation foundation for parameter optimization, valve control system design, and the secure operation of a CLCC. Full article
(This article belongs to the Section F: Electrical Engineering)
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14 pages, 29597 KB  
Article
Backstepping Super-Twisting Sliding Mode Control for MMC-HVDC in Passive Networks
by Zerong Wang, Xinhong Wu, Hao Dong, Hao Huang and Yongxi Zhao
Energies 2026, 19(9), 2246; https://doi.org/10.3390/en19092246 - 6 May 2026
Viewed by 293
Abstract
Due to their superior harmonic profiles and minimal switching energy losses, modular multilevel converters (MMCs) have emerged as the primary topology for high voltage direct current (HVDC) applications. However, traditional Proportional–Integral (PI) control exhibits inferior dynamic performance using MMC-HVDC supplying power in the [...] Read more.
Due to their superior harmonic profiles and minimal switching energy losses, modular multilevel converters (MMCs) have emerged as the primary topology for high voltage direct current (HVDC) applications. However, traditional Proportional–Integral (PI) control exhibits inferior dynamic performance using MMC-HVDC supplying power in the passive networks. This study proposes a backstepping super-twisting sliding mode control strategy, which significantly improves the dynamic performance of the MMC-HVDC system and mitigates fluctuations in the DC side voltage. First, a mathematical model is established based on the topology of the modular multilevel HVDC transmission system. Then, utilizing the backstepping method, a virtual control law for the current inner loop is designed according to the mathematical model. Subsequently, the super-twisting sliding mode algorithm is introduced based on the backstepping method to form the backstepping super-twisting sliding mode control law. Finally, a comprehensive model is established within the Matlab/Simulink environment, and extensive simulation studies are carried out to evaluate the effectiveness the effectiveness and advantages of the proposed backstepping super-twisting sliding mode control under stable operation, grid voltage sag, and single-phase grounding fault conditions. Comparative evaluations verify that the introduced strategy effectively lowers the total harmonic distortion (THD) of the current and suppresses DC voltage ripples. Moreover, compared to the conventional PI method, the new approach provides enhanced transient robustness with noticeably reduced overshoot with considerably lower overshoot compared to traditional PI control, thereby providing a highly reliable and stable solution for MMC-HVDC systems supplying passive networks. Full article
(This article belongs to the Special Issue Modular Multilevel Converters: Technologies, Control and Applications)
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