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Keywords = small signal stability analysis

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20 pages, 2451 KiB  
Article
The Proteomic and Peptidomic Response of Wheat (Triticum aestivum L.) to Drought Stress
by Regina Azarkina, Arina Makeeva, Anna Mamaeva, Sergey Kovalchuk, Daria Ganaeva, Igor Tikhonovich and Igor Fesenko
Plants 2025, 14(14), 2168; https://doi.org/10.3390/plants14142168 - 14 Jul 2025
Viewed by 441
Abstract
Drought conditions impact plants at the morphological, physiological, and molecular levels. Plant tolerance to drought conditions is frequently associated with maintaining proteome stability, highlighting the significance of proteomic analysis in understanding the mechanisms underlying plant resilience. Here, we performed proteomic and peptidomic analysis [...] Read more.
Drought conditions impact plants at the morphological, physiological, and molecular levels. Plant tolerance to drought conditions is frequently associated with maintaining proteome stability, highlighting the significance of proteomic analysis in understanding the mechanisms underlying plant resilience. Here, we performed proteomic and peptidomic analysis of spring wheat (Triticum aestivum L.) under drought stress conditions. Using isobaric tags for relative and absolute quantitation (iTRAQ), we identified 497 and 157 differentially abundant protein (DAP) groups in leaves and roots, respectively. The upregulated DAP groups in leaves were primarily involved in stress responses, such as oxidative stress and heat response, whereas those in roots were associated with responses to water deprivation and sulfur compound metabolic processes. The analysis of the extracellular root peptidome revealed 2294 native peptides, including members of small secreted peptide (SSP) families. In the peptidomes of stress-induced plants, we identified 16 SSPs as well as peptides derived from proteins involved in cell wall catabolism, intercellular signaling, and stress response. These peptides represent potential candidates as regulators of drought responses. Our results help us to understand adaptation mechanisms and develop new agricultural technologies to increase productivity. Full article
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21 pages, 1730 KiB  
Article
Stability Analysis of Power Systems with High Penetration of State-of-the-Art Inverter Technologies
by Sayan Samanta, Bowen Yang and Gab-Su Seo
Energies 2025, 18(14), 3645; https://doi.org/10.3390/en18143645 - 10 Jul 2025
Viewed by 319
Abstract
With the increasing level of inverter-based resources (IBRs) in modern power systems, this paper presents a small-signal stability analysis for power systems comprising synchronous generators (SGs) and IBRs. Four types of inverter controls are considered: two grid-following (GFL) controls, with or without grid [...] Read more.
With the increasing level of inverter-based resources (IBRs) in modern power systems, this paper presents a small-signal stability analysis for power systems comprising synchronous generators (SGs) and IBRs. Four types of inverter controls are considered: two grid-following (GFL) controls, with or without grid support functions; droop-based grid-forming (GFM) controls; and virtual oscillator control-based GFM. We also analyze the impact of STATCOM and synchronous condensers on system stability to assess their role in the energy mix transition. With the small-signal dynamic behavior of the major technologies modeled, this paper provides stringent stability assessments using the IEEE 39-bus benchmark system modified to simulate future power systems. The exhaustive test cases allow for (a) assessing the impacts of different types and controls of generation and supplementary grid assets, as well as system inertia and line impedance on grid stability, and (b) elucidating pathways for the stabilization of IBR-dominated power systems. The analysis also indicates that future power systems can be stabilized with only a fraction of the total generation as voltage sources without SGs or significant system inertia if they are well distributed. This study provides insights into future power system operations with a high level of IBRs that can also be used for planning and operation studies. Full article
(This article belongs to the Section A: Sustainable Energy)
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16 pages, 10934 KiB  
Article
Visualization Monitoring and Safety Evaluation of Turnout Wheel–Rail Forces Based on BIM for Sustainable Railway Management
by Xinyi Dong, Yuelei He and Hongyao Lu
Sensors 2025, 25(14), 4294; https://doi.org/10.3390/s25144294 - 10 Jul 2025
Viewed by 343
Abstract
With China’s high-speed rail network undergoing rapid expansion, turnouts constitute critical elements whose safety and stability are essential to railway operation. At present, the efficiency of wheel–rail force safety monitoring conducted in the small hours reserved for the construction and maintenance of operating [...] Read more.
With China’s high-speed rail network undergoing rapid expansion, turnouts constitute critical elements whose safety and stability are essential to railway operation. At present, the efficiency of wheel–rail force safety monitoring conducted in the small hours reserved for the construction and maintenance of operating lines without marking train operation lines is relatively low. To enhance the efficiency of turnout safety monitoring, in this study, a three-dimensional BIM model of the No. 42 turnout was established and a corresponding wheel–rail force monitoring scheme was devised. Collision detection for monitoring equipment placement and construction process simulation was conducted using Navisworks, such that the rationality of cable routing and the precision of construction sequence alignment were improved. A train wheel–rail force analysis program was developed in MATLAB R2022b to perform signal filtering, and static calibration was applied to calculate key safety evaluation indices—namely, the coefficient of derailment and the rate of wheel load reduction—which were subsequently analyzed. The safety of the No. 42 turnout and the effectiveness of the proposed monitoring scheme were validated, theoretical support was provided for train operational safety and turnout maintenance, and technical guidance was offered for whole-life-cycle management and green, sustainable development of railway infrastructure. Full article
(This article belongs to the Section Fault Diagnosis & Sensors)
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15 pages, 2980 KiB  
Article
Transient Stability Enhancement of Virtual Synchronous Generator Through Analogical Phase Portrait Analysis
by Si Wu, Jun Wu, Hongyou Zhong and Yang Qi
Energies 2025, 18(13), 3495; https://doi.org/10.3390/en18133495 - 2 Jul 2025
Viewed by 219
Abstract
Virtual synchronous generator (VSG) control has been increasingly utilized for the grid integration of the voltage source inverter (VSI). Under large disturbances, such as voltage sags and grid faults, the VSG synchronization dynamic is highly nonlinear and cannot be evaluated by small-signal-based approaches. [...] Read more.
Virtual synchronous generator (VSG) control has been increasingly utilized for the grid integration of the voltage source inverter (VSI). Under large disturbances, such as voltage sags and grid faults, the VSG synchronization dynamic is highly nonlinear and cannot be evaluated by small-signal-based approaches. Conventionally, the equal area criterion (EAC) is utilized to analyze the transient stability of a synchronous machine or a VSG. However, it is found that the EAC is only valid under special scenarios when the damping effect is ignored. In this case, the EAC will provide conservative predictions and therefore put stringent requirements on the fault-clearing time. This paper reveals that the motion of a pendulum is essentially the same as the VSG swing equation. Due to this, the phase portrait approach, which was used to predict the pendulum motion, can be similarly applied for the VSG transient stability study. Based on the analogical phase portrait analysis, a damping coefficient tuning guideline is proposed, which always guarantees the synchronization stability as long as an equilibrium exists. The aforementioned theoretical findings are finally verified through a grid-connected VSG under the hardware-in-loop (HIL) environment. Full article
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36 pages, 29858 KiB  
Article
Mode Shape Extraction with Denoising Techniques Using Residual Responses of Contact Points of Moving Vehicles on a Beam Bridge
by Guandong Qiao, Xiaoyue Du, Qi Wang and Liu Jiang
Appl. Sci. 2025, 15(13), 7059; https://doi.org/10.3390/app15137059 - 23 Jun 2025
Viewed by 208
Abstract
This work introduces a novel approach to extract beam bridge mode shapes using the residual response between consecutive contact points of vehicles passing through a bridge. A comprehensive investigation is conducted on several critical parameters, including window size, vehicle velocity, road roughness, and [...] Read more.
This work introduces a novel approach to extract beam bridge mode shapes using the residual response between consecutive contact points of vehicles passing through a bridge. A comprehensive investigation is conducted on several critical parameters, including window size, vehicle velocity, road roughness, and beam damping property, as well as the influence of traffic flow. To enhance the mode shape extraction performance using the approximate expression of the contact points’ displacements under noisy disturbance, two new signal denoising methods, CEEMDAN-NSPCA and CEEMDAN-IWT, are proposed based on complete ensemble empirical mode decomposition (CEEMDAN). CEEMDAN-NSPCA integrates CEEMDAN with principal component analysis and a coefficient-based filtering strategy. While CEEMDAN-IWT utilizes an improved wavelet thresholding technique with adaptive threshold selection. The numerical simulations demonstrate that both methods could effectively attenuate high-frequency noise with small amplitudes and retain low-frequency components. Among them, CEEMDAN-IWT exhibits superior denoising performance and greater stability, making it particularly suitable for robust modal identification in noisy environments. Full article
(This article belongs to the Special Issue Advances in Architectural Acoustics and Vibration)
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17 pages, 2319 KiB  
Article
Insights into an Angular-Motion Electromechanical-Switching Device: Characteristics, Behavior, and Modeling
by José M. Campos-Salazar and Jorge Gonzalez-Salazar
J. Exp. Theor. Anal. 2025, 3(2), 18; https://doi.org/10.3390/jeta3020018 - 16 Jun 2025
Viewed by 325
Abstract
While extensive research has addressed electromechanical systems interacting with power electronic converters, most studies lack a unified modeling framework that simultaneously captures converter switching behavior, nonlinear dynamics, and linearized control-oriented representations. In particular, the dynamic interaction between two-level full-bridge converters and angular-motion electromechanical [...] Read more.
While extensive research has addressed electromechanical systems interacting with power electronic converters, most studies lack a unified modeling framework that simultaneously captures converter switching behavior, nonlinear dynamics, and linearized control-oriented representations. In particular, the dynamic interaction between two-level full-bridge converters and angular-motion electromechanical switching devices (EMDs) is often simplified or abstracted, thereby limiting control system design and frequency-domain analysis. This work presents a comprehensive dynamic modeling methodology for an angular-motion EMD driven by a full-bridge dc-dc converter. The modeling framework includes (i) a detailed nonlinear switching model, (ii) an averaged nonlinear model suitable for control design, and (iii) a small-signal linearized model for deriving transfer functions and evaluating system stability. The proposed models are rigorously validated through time-domain simulations and Bode frequency analysis, confirming both theoretical equilibrium points and dynamic characteristics such as resonant frequencies and phase margins. The results demonstrate strong consistency across the modeling hierarchy and reveal critical features—such as ripple-induced resonance and low-frequency coupling—that are essential for robust controller design. This framework established a foundational tool for advancing the control and optimization of electromechanical switching systems in high-performance applications. Full article
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20 pages, 1542 KiB  
Article
The Impact of Terminal-Voltage Control on the Equilibrium Points and Small-Signal Stability of GFL-VSC Systems
by Shun Li, Xing Yao, Cong Fu, Meng Zhan and Bo Bao
Energies 2025, 18(12), 3023; https://doi.org/10.3390/en18123023 - 6 Jun 2025
Viewed by 324
Abstract
Weak grid stability is crucial for grid-following voltage source converter (GFL-VSC) systems. Current studies primarily focus on the interaction analyses between active-power loops, whereas the influence of reactive-power loops remains unclear. To address this problem, this study focuses on terminal-voltage control (TVC) and [...] Read more.
Weak grid stability is crucial for grid-following voltage source converter (GFL-VSC) systems. Current studies primarily focus on the interaction analyses between active-power loops, whereas the influence of reactive-power loops remains unclear. To address this problem, this study focuses on terminal-voltage control (TVC) and analyzes its impact on equilibrium points (EPs) and small-signal stability by varying the TVC response speed, including three different cases: considering TVC dynamics, considering TVC rapid responses, and considering TVC slow responses. Firstly, the models of the GFL-VSC system under different scenarios are established and compared. In the EP analysis, for both TVC dynamics and TVC rapid responses, the EP of an active current remains constant and it becomes unstable in a weak grid, whereas for TVC slow responses, the EP undergoes trans-critical bifurcation; specifically, the other EP becomes stable after this bifurcation. Further, in the small-signal stability analysis, three equivalent Heffron–Phillips models based on the phase-locked loop synchronization dynamics with additional synchronization and damping coefficients are constructed and studied. By these systematical studies, the impacts of different TVC response speeds are clarified and summarized, and these analytical results are well supported by MATLAB/Simulink simulations and hardware-in-the-loop experiments. Full article
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31 pages, 18144 KiB  
Article
Small Signal Stability Analysis of GFM and GFL Inverters Hybrid System with Three Typical Grid Topology Structures
by Xiaochuan Niu, Qianying Mou, Xueliang Li and Gang Lu
Sustainability 2025, 17(11), 5137; https://doi.org/10.3390/su17115137 - 3 Jun 2025
Viewed by 682
Abstract
With the large-scale integration of renewable energy sources, power electronic components within power grids have surged. Traditional synchronous generator-based power generation is gradually transitioning to renewable energy generation integrated with grid-following (GFL) and grid-forming (GFM) inverters. Furthermore, power grid topology structures are evolving [...] Read more.
With the large-scale integration of renewable energy sources, power electronic components within power grids have surged. Traditional synchronous generator-based power generation is gradually transitioning to renewable energy generation integrated with grid-following (GFL) and grid-forming (GFM) inverters. Furthermore, power grid topology structures are evolving from traditional radial and ring-type configurations toward meshed-type architectures. The impact of grid topology structures on the stability of hybrid systems combining GFL and GFM inverters urgently requires systematic investigation. This paper establishes state-space models of GFM and GFL inverters under three typical grid topology structures and then compares the small signal stability of hybrid systems. First, mathematical models of inverters and transmission lines are established, and a full-order state-space model of the system is accordingly derived. Second, key stability indicators, including eigenvalues, damping ratio, participation factors, and sensitivity indices, are obtained by analyzing the system state matrix. Finally, simulation models for these grid topology structures are implemented in MATLAB/Simulink R2022b to validate the influences of grid topology structures on the stability related to inverters. The results demonstrate that GFL inverters are highly sensitive to grid topology structures, whereas GFM inverters are more influenced by their synchronization control capabilities. Smaller GFL inverters connection impedances and larger GFM inverters connection impedances can enhance system stability. Full article
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23 pages, 4508 KiB  
Article
Investigation of Frequency Response Sharing-Induced Power Oscillations in VSC-HVDC Systems for Asynchronous Interconnection
by Ke Wang, Chunguang Zhou, Yiping Chen, Yan Guo, Zhantao Fan and Zhixuan Li
Energies 2025, 18(11), 2928; https://doi.org/10.3390/en18112928 - 3 Jun 2025
Viewed by 413
Abstract
Low-frequency power oscillations (LFPOs) may occur in voltage source converter-based high-voltage direct current (VSC-HVDC) systems when providing frequency support to asynchronously interconnected power grids. This phenomenon has been observed in the LUXI back-to-back (BTB) VSC-HVDC project in China and results from insufficient damping, [...] Read more.
Low-frequency power oscillations (LFPOs) may occur in voltage source converter-based high-voltage direct current (VSC-HVDC) systems when providing frequency support to asynchronously interconnected power grids. This phenomenon has been observed in the LUXI back-to-back (BTB) VSC-HVDC project in China and results from insufficient damping, which may threaten the stability of the overall power system. To better understand and address this problem, this study investigates the root causes of LFPOs and evaluates how different parts of the system affect damping. A combined approach using small-signal modeling and the damping torque method is developed to analyze the damping behavior of DC power in VSC-HVDC systems. Results show that LFPOs are caused by the interaction between VSC-based frequency control and the dynamic response of synchronous generators (SGs). The turbine and governor systems in SGs help stabilize the system by providing positive damping, whereas the DC voltage-controlled VSC station introduces negative damping. The findings are supported by detailed simulations using a modified IEEE 39-bus test system, demonstrating the effectiveness of the proposed analysis method. Full article
(This article belongs to the Special Issue Advanced Electric Power Systems, 2nd Edition)
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25 pages, 7008 KiB  
Article
Stability Analysis and Virtual Inductance Control for Static Synchronous Compensators with Voltage-Droop Support in Weak Grid
by Xueyuan Wang, Fan Feng, Linyu Peng, Peng Xiao and Zhenglin Li
Electronics 2025, 14(11), 2203; https://doi.org/10.3390/electronics14112203 - 29 May 2025
Viewed by 342
Abstract
Static synchronous compensators (STATCOMs) are widely applied in modern power networks for reactive power compensation and grid voltage regulation. Compared to the conventional compensation devices, the STATCOMs deliver superior performance through the voltage-droop control loop. However, the interaction between the STATCOMs and grid [...] Read more.
Static synchronous compensators (STATCOMs) are widely applied in modern power networks for reactive power compensation and grid voltage regulation. Compared to the conventional compensation devices, the STATCOMs deliver superior performance through the voltage-droop control loop. However, the interaction between the STATCOMs and grid impedance, especially in weak grids, can lead to stability issues. To investigate this instability mechanism, the STATCOMs and grid impedance are modeled as a multi-input–multi-output system in this paper. Thus, the coupling effects between the control loop and the grid impedance are clearly highlighted, making the stability assessment feasible. The proposed method avoids the cost and volume issues associated with adding physical inductance in traditional approaches to mitigate these coupling effects. It not only improves the operational stability of the STATCOM but also enhances its voltage support capability, thereby supplementing the stability research for weak grids with STATCOMs under this specific condition. The effectiveness of the presented analysis and proposed control scheme are validated through both simulation and experimental results. Full article
(This article belongs to the Special Issue Smart Grid Technologies and Energy Conversion Systems)
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21 pages, 3404 KiB  
Article
Stability Analysis of a Receiving-End VSC-HVDC System with Parallel-Connected VSCs
by Zijun Bin, Xiangping Kong, Kai Zhao, Xi Wu, Yubo Yuan and Xuchao Ren
Electronics 2025, 14(11), 2178; https://doi.org/10.3390/electronics14112178 - 27 May 2025
Viewed by 370
Abstract
Voltage source converter-based high-voltage direct current (VSC-HVDC) systems integrated into weak AC grids may exhibit oscillation-induced instability, posing significant threats to power system security. With increasing structural complexity and diverse control strategies, the stability characteristics of VSC-HVDC system require further investigation. This paper [...] Read more.
Voltage source converter-based high-voltage direct current (VSC-HVDC) systems integrated into weak AC grids may exhibit oscillation-induced instability, posing significant threats to power system security. With increasing structural complexity and diverse control strategies, the stability characteristics of VSC-HVDC system require further investigation. This paper focuses on the stability of a receiving-end VSC-HVDC system consisting of a DC voltage-controlled VSC parallel-connected to a power-controlled VSC, under various operating conditions. First, small-signal models of each subsystem were developed and a linearized full-system model was constructed based on port relationships. Then, eigenvalue and participation factor analyses were utilized to evaluate the influence of control strategy, asymmetrical grid strength, power flow direction, and tie line on the system’s small-signal stability. A feasible short-circuit ratio (SCR) region was established based on joint power–topology joint, forming a stable operating space for the system. Finally, the correctness of the theoretical analysis was validated via MATLAB/Simulink time-domain simulations. Results indicate that, in comparison to the power control strategy, the DC voltage control strategy was more sensitive to variations in the AC system and demands a strong grid, and this disparity was predominantly caused by the DC voltage control. Furthermore, the feasible region of the short-circuit ratio (SCR) diminished with the increase in the length of the tie-line and alterations in power flow direction under the mutual-support power mode, leading to a gradual reduction in the system’s stability margin. Full article
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21 pages, 831 KiB  
Article
Characterization of Power System Oscillation Modes Using Synchrophasor Data and a Modified Variational Decomposition Mode Algorithm
by José Oscullo Lala, Nathaly Orozco Garzón, Henry Carvajal Mora, Diego Echeverria, José Vega-Sánchez and Takaaki Ohishi
Energies 2025, 18(11), 2693; https://doi.org/10.3390/en18112693 - 22 May 2025
Cited by 1 | Viewed by 469
Abstract
The growing complexity and uncertainty in modern power systems—driven by increased integration of renewable energy sources and variable loads—underscore the need for robust tools to assess dynamic stability. This paper presents an enhanced methodology for modal analysis that combines Adaptive Variational Mode Decomposition [...] Read more.
The growing complexity and uncertainty in modern power systems—driven by increased integration of renewable energy sources and variable loads—underscore the need for robust tools to assess dynamic stability. This paper presents an enhanced methodology for modal analysis that combines Adaptive Variational Mode Decomposition (A-VMD) with Prony’s method. A novel energy-based selection mechanism is introduced to determine the optimal number of intrinsic mode functions (IMFs), improving the decomposition’s adaptability and precision. The resulting modes are analyzed to estimate modal frequencies and damping ratios. Validation is conducted using both synthetic datasets and real synchrophasor measurements from Ecuador’s national power grid under ambient and disturbed operating conditions. The proposed approach is benchmarked against established techniques, including a matrix pencil, conventional VMD-Prony, and commercial tools such as WAProtector and DIgSILENT PowerFactory. The results demonstrate that A-VMD consistently delivers more accurate and robust performance, especially for low signal-to-noise ratios and low-energy ambient conditions. These findings highlight the method’s potential for real-time oscillation mode identification and small-signal stability monitoring in wide-area power systems. Full article
(This article belongs to the Section F1: Electrical Power System)
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22 pages, 3239 KiB  
Article
Analysis and Suppression Strategies of Sub-Synchronous Oscillations in DFIG Wind Farm Integrated with Synchronous Pumped Storage System
by Yuzhe Chen, Feng Wu, Linjun Shi, Yang Li, Zizhao Wang and Yanbo Ding
Sustainability 2025, 17(10), 4588; https://doi.org/10.3390/su17104588 - 16 May 2025
Viewed by 453
Abstract
The sub-synchronous oscillation (SSO) characteristics and suppression strategies of a hybrid system comprising doubly fed induction generator (DFIG)-based wind turbines and synchronous pumped storage units connected to the power grid via series-compensated transmission lines are analyzed. A modular modeling approach is used to [...] Read more.
The sub-synchronous oscillation (SSO) characteristics and suppression strategies of a hybrid system comprising doubly fed induction generator (DFIG)-based wind turbines and synchronous pumped storage units connected to the power grid via series-compensated transmission lines are analyzed. A modular modeling approach is used to construct a detailed system model, including the wind turbine shaft system, DFIG, converter control system, synchronous machine, excitation system, power system stabilizer (PSS), and series-compensated transmission lines. Eigenvalue calculation-based small-signal stability analysis is conducted to identify the dominant oscillation modes. Suppression measures are also developed using relative participation analysis, and simulations are carried out to validate the accuracy of the model and analysis method. The analysis results indicate that the SSO phenomenon is primarily influenced by the electrical state variables of the DFIG system, while the impact of the state variables of the synchronous machine is relatively minor. When the level of series compensation in the system increases, SSO is significantly exacerbated. To address this issue, a sub-synchronous damping controller (SSDC) is incorporated on the rotor side of the DFIG. The results demonstrate that this method effectively mitigates the SSO and significantly enhances the system’s robustness against disturbances. Furthermore, a simplified modeling approach is proposed based on relative participation analysis. This method neglects the dynamic characteristics of the synchronous machine while considering its impact on the steady-state impedance and initial conditions of the model. These findings provide theoretical guidance and practical insights for addressing and mitigating SSO issues in hybrid renewable energy systems composed of DFIGs and synchronous machines. Full article
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27 pages, 12087 KiB  
Article
Small-Signal Stability Analysis of DC Microgrids
by Alamgir Hossain, Michael Negnevitsky, Xiaolin Wang, Evan Franklin, Waqas Hassan, Md. Alamgir Hossain, Evan Gray and Pooyan Alinaghi Hosseinabadi
Energies 2025, 18(10), 2467; https://doi.org/10.3390/en18102467 - 11 May 2025
Viewed by 822
Abstract
The conventional cascaded control strategies using proportional-integral-derivative controllers often result in high settling times, considerable oscillations, poor voltage regulation, and low bandwidth. This leads to unsatisfactory performance in systems where multiple input variables are each subject to high levels of temporal variability, such [...] Read more.
The conventional cascaded control strategies using proportional-integral-derivative controllers often result in high settling times, considerable oscillations, poor voltage regulation, and low bandwidth. This leads to unsatisfactory performance in systems where multiple input variables are each subject to high levels of temporal variability, such as in DC microgrids (MGs) with renewable sources of generation. To overcome these challenges, a new combined control technique including average current mode and PI controllers based on root locus tuning is proposed for DC MGs to maintain small-signal stability. An analytical small-signal equivalent model of DC MG, including the proposed control, is developed to examine the impact of control parameter variations on system dynamics. The stability of the DC MG is assessed to evaluate the effectiveness of the designed controller, while a sensitivity analysis identifies critical parameters affecting system performance. The effectiveness of the proposed control scheme is demonstrated through a comprehensive comparative analysis with a conventional PID controller and a terminal sliding mode controller, which specifically addresses small-signal disturbances. Results demonstrate that the proposed control scheme provides superior robustness against small-signal disturbances, minimises settling time, and eliminates oscillations. Moreover, it offers improved power quality, bandwidth, and voltage regulation compared to conventional methods under both normal operating conditions and in response to small-signal perturbations. Full article
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22 pages, 1587 KiB  
Article
Robust 12-Lead ECG Classification with Lightweight ResNet: An Adaptive Second-Order Learning Rate Optimization Approach
by Guolin Yang, Shiyun Zou, Hua Qin, Yuyi Cao, Zihan Zhang and Xiangyuan Deng
Electronics 2025, 14(10), 1941; https://doi.org/10.3390/electronics14101941 - 9 May 2025
Viewed by 564
Abstract
To enhance the classification accuracy of the ResNet model for 12-lead ECG signals, a novel approach that focuses on optimizing the learning rate within the model training algorithm is proposed. Firstly, a Taylor expansion of the training formula for model weights is performed [...] Read more.
To enhance the classification accuracy of the ResNet model for 12-lead ECG signals, a novel approach that focuses on optimizing the learning rate within the model training algorithm is proposed. Firstly, a Taylor expansion of the training formula for model weights is performed to derive a learning rate that incorporates the second-order gradient information. Subsequently, to circumvent the direct computation of the complex second-order gradient in the learning rate, an approximation method utilizing the historical first-order gradient is introduced. Additionally, truncation techniques are employed to ensure that the second-order learning rate remains neither excessively large nor too small. Ultimately, the 1D-ResNet-AdaSOM model is constructed based on this adaptive second-order momentum (AdaSOM) method and applied for 12-lead ECG classification. The proposed algorithm and model were validated on the CPSC2018 dataset. The evolving trend of the loss function throughout the training process demonstrated that the proposed algorithm exhibited commendable convergence and stability, and these results aligned with the conclusions derived from the theoretical analysis of the algorithm’s convergence. On the test set, the model attained an impressive average F1 score of 0.862, demonstrating that 1D-ResNet-AdaSOM surpassed several state-of-the-art deep-learning models in performance while exhibiting strong robustness. The experimental findings further substantiate our hypothesis that adjusting the learning rate in the ResNet training algorithm can effectively enhance classification accuracy for 12-lead ECGs. Full article
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