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Search Results (374)

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Keywords = series parallel connection

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14 pages, 2316 KB  
Article
Experimental Characterization and Validation of a PLECS-Based Hardware-in-the-Loop (HIL) Model of a Dual Active Bridge (DAB) Converter
by Armel Asongu Nkembi, Danilo Santoro, Nicola Delmonte and Paolo Cova
Energies 2026, 19(2), 563; https://doi.org/10.3390/en19020563 - 22 Jan 2026
Viewed by 128
Abstract
Hardware-in-the-loop (HIL) simulation is an essential tool for rapid and cost-effective development and validation of power-electronic systems. The primary objective of this work is to validate and fine-tune a PLECS-based HIL model of a single dual active bridge (DAB) DC-DC converter, thereby laying [...] Read more.
Hardware-in-the-loop (HIL) simulation is an essential tool for rapid and cost-effective development and validation of power-electronic systems. The primary objective of this work is to validate and fine-tune a PLECS-based HIL model of a single dual active bridge (DAB) DC-DC converter, thereby laying the foundation for building more complex models (e.g., multiple converters connected in series or parallel). To this end, the converter is experimentally characterized, and the HIL model is validated across a wide range of operating conditions by varying the PWM phase-shift angle, voltage gain, switching frequency, and leakage inductance. Power transfer and efficiency are analyzed to quantify the influence of these parameters on converter performance. These experimental trends provide insight into the optimal modulation range and the dominant loss mechanisms of the DAB under single phase shift (SPS) control. A detailed comparison between HIL simulations and hardware measurements, based on transferred power and efficiency, shows close agreement across all the tested operating points. These results confirm the accuracy and robustness of the proposed HIL model, demonstrate the suitability of the PLECS platform for DAB development and control validation, and support its use as a scalable basis for more complex multi-converter studies, reducing design time and prototyping risk. Full article
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22 pages, 4158 KB  
Article
A Soft-Pneumatic Actuator Array for Tactile Stimulation in Preterm Infants
by Franco Daiji Huemura Okumura, Sebastian Tuesta Pereda, Mahdi Tavakoli and Emir A. Vela
Actuators 2026, 15(1), 31; https://doi.org/10.3390/act15010031 - 5 Jan 2026
Viewed by 352
Abstract
Preterm infants in neonatal intensive care units (NICUs) experience impaired neurodevelopment and dysregulated stress responses, partly due to a lack of tactile stimulation. Although massage therapy offers proven therapeutic benefits by stimulating C-tactile afferents through (gentle) dynamic touch, existing methods are limited by [...] Read more.
Preterm infants in neonatal intensive care units (NICUs) experience impaired neurodevelopment and dysregulated stress responses, partly due to a lack of tactile stimulation. Although massage therapy offers proven therapeutic benefits by stimulating C-tactile afferents through (gentle) dynamic touch, existing methods are limited by clinical staff variability and resource constraints. This work presents a compact soft-pneumatic actuator array (SPAA) utilizing four nylon–TPU actuators (modules) connected in series or in parallel to perform a sequential actuation; this array is designed to deliver safe, shear-free, and massage-like normal compression tailored for preterm infants. Actuator performance was characterized using a load-cell and a pressure sensor under different preloads (10–30 g), establishing operating internal pressures of 20–50 kPa, which produced target force ranges between 0.1 and 0.3 N. Two SPAA architectures were evaluated: (i) parallel manifold with branch resistances and (ii) series chain with graded outlet resistances, using passive fluidic sequencing for controlled activation. The series configuration achieved repeatable sequential actuation with programmable delays, essential for mimicking therapeutic massage patterns. These results demonstrate that passive soft-pneumatic sequencing can reliably deliver dynamic tactile stimuli within neurophysiological and safety constraints, laying the groundwork for standardized, automated neonatal massage therapy in NICUs. Full article
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21 pages, 9313 KB  
Article
Coordinated Control Strategy for Series-Parallel Connection of Low-Voltage Distribution Areas Based on Direct Power Control
by Huan Jiang, Zhiyang Lu, Xufeng Yuan, Chao Zhang, Wei Xiong, Qihui Feng and Chenghui Lin
Electronics 2026, 15(1), 73; https://doi.org/10.3390/electronics15010073 - 24 Dec 2025
Viewed by 206
Abstract
With the irregular integration of small-capacity distributed generators (DG) and single-phase loads, rural low-voltage distribution transformers are faced with issues such as three-phase imbalance, light-heavy loading, and feeder terminal voltage excursions, impacting the safe and stable operation of the system. To address this [...] Read more.
With the irregular integration of small-capacity distributed generators (DG) and single-phase loads, rural low-voltage distribution transformers are faced with issues such as three-phase imbalance, light-heavy loading, and feeder terminal voltage excursions, impacting the safe and stable operation of the system. To address this issue, a coordinated control strategy based on direct power control (DPC) for low-voltage substation series-parallel coordination is proposed. A flexible interconnection topology for multi-substation series-parallel coordination is designed to achieve coordinated optimization of alternating current–direct current (AC-DC) power quality. Addressing the three-phase imbalance, light-heavy loading, and feeder terminal voltage excursions in rural low-voltage distribution transformers, a series-parallel coordinated optimization control strategy is proposed. This strategy incorporates a DC bus voltage control strategy based on sequence-separated power compensation and a closed-loop control strategy based on phase-separated power compensation, effectively addressing three-phase imbalances and load balancing in each power distribution areas. Furthermore, a series-connected phase compensation control strategy based on DPC is proposed, efficiently mitigating feeder terminal voltage excursions. A corresponding circuit model is established using Matlab/Simulink, and simulation results validate the effectiveness of the proposed strategy. Full article
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11 pages, 2336 KB  
Article
A Novel Feeding Technique for a Quadrifilar Helix Antenna
by Alessandro Di-Carlofelice, Emidio Di-Giampaolo and Piero Tognolatti
Electronics 2026, 15(1), 28; https://doi.org/10.3390/electronics15010028 - 21 Dec 2025
Viewed by 282
Abstract
This paper proposes a novel method for feeding a half-turn quadrifilar helix antenna (QHA) operating in backfire mode. A self-phasing and self-supporting antenna is obtained using a specific method demonstrated numerically. Four straight parallel wires, by which a couple of short-circuited stubs are [...] Read more.
This paper proposes a novel method for feeding a half-turn quadrifilar helix antenna (QHA) operating in backfire mode. A self-phasing and self-supporting antenna is obtained using a specific method demonstrated numerically. Four straight parallel wires, by which a couple of short-circuited stubs are realized and connected in series with helix loops, constitute both the mast of the QHA and the feeding network. A prototype operating at 1 GHz is designed, realized, and measured. The results show a good axial ratio (measured cross-polar gain is about 25 dB below the co-polar one at the boresight) and good impedance matching over an adequately large frequency band. Full article
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18 pages, 3093 KB  
Article
An Optimal Dispatch Method for Power Systems with High Penetration of Renewable Power and CHP Units Utilizing the Combined GA and PSO Algorithm
by Zhongxi Ou, Liang Zhang, Xubin Xing, Pupu Chao, Zhu Tong and Fenfen Li
Energies 2026, 19(1), 12; https://doi.org/10.3390/en19010012 - 19 Dec 2025
Viewed by 219
Abstract
With the improvement scale of grid connection renewable power, accurately forecasting and effectively coordinating systems with various energy sources has become much more important for power system scheduling and operation. Considering the uncertain characteristics of renewable energy and CHP units, this paper proposes [...] Read more.
With the improvement scale of grid connection renewable power, accurately forecasting and effectively coordinating systems with various energy sources has become much more important for power system scheduling and operation. Considering the uncertain characteristics of renewable energy and CHP units, this paper proposes an optimal dispatch method with multi-prediction models and an improved solving method by series correction and parallel coupling analysis. Firstly, multiple-model stationary time series are obtained by EMD (empirical mode decomposition) of the prediction results from multiple models. Then, series decomposition is updated by the UKF (unscented Kalman filter). Using the least-squares method, the parallel coupling of the correction results is solved. A complex optimal scheduling model with multiple renewable energy sources and CHP units is proposed and solved with the help of the improved GA and PSO combined algorithm to avoid the algorithm falling into local optimal conditions. Simulations show that the proposed optimal dispatch model and algorithm are able to consider the uncertain characteristics of renewable energy and CHP units with better performance than some typical methods, such as the baseline method that combines single-model BP forecasting with conventional PSO-based dispatch. These results demonstrate that the proposed EMD–UKF-based multi-model forecasting combined with the improved GA–PSO-based dispatch framework provides an effective and practically applicable tool for enhancing the economic and low-carbon operation of multi-energy systems with high renewable penetration. Full article
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24 pages, 5536 KB  
Article
Research on Subsea Cluster Layout Optimization Method Considering Three-Dimensional Terrain Constraints
by Weizheng An, Wenze Liu, Xiaohui Song, Yingying Wang, Qiang Ma, Yangqing Lin and Yiyang Xue
J. Mar. Sci. Eng. 2025, 13(12), 2385; https://doi.org/10.3390/jmse13122385 - 16 Dec 2025
Viewed by 306
Abstract
Seabed topography is a key factor affecting the layout of underwater production systems. Developing a more scientific, intelligent, and integrated layout optimization method is the key to optimizing the layout of underwater production systems. To address the challenge of acquiring a more scientific, [...] Read more.
Seabed topography is a key factor affecting the layout of underwater production systems. Developing a more scientific, intelligent, and integrated layout optimization method is the key to optimizing the layout of underwater production systems. To address the challenge of acquiring a more scientific, intelligent, and integrated optimization method, this paper proposes a multi-level integrated optimization model that incorporates three-dimensional seabed topography, obstacle areas, target locations, pipeline paths, and manifold connection relationships, with the primary objective of minimizing total investment cost. A hybrid algorithm combining H-MOPSO (Hierarchical Multi-Objective Particle Swarm Optimization) with K-means-ILP clustering, dynamic programming, and TEWA* pathfinding is raised to collaboratively solve for the global optimal layout, achieving a coupled “target grouping-manifold connection-path optimization” design. Based on the actual oilfield seabed topography and target data, this paper carries out case analysis and algorithm comparison experiments. The results show that the optimization method in this paper can significantly improve the layout economy and cost accuracy under the premise of meeting the engineering constraints. Among them, the PLEM parallel connection method reduces the pipeline laying cost by 25.72% and the overall layout investment cost by 5.39% compared with the traditional manifold series scheme. Full article
(This article belongs to the Section Geological Oceanography)
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16 pages, 3028 KB  
Article
Simulation of a Multiband Stacked Antiparallel Solar Cell with over 70% Efficiency
by Rehab Ramadan, Kin Man Yu and Nair López Martínez
Materials 2025, 18(24), 5625; https://doi.org/10.3390/ma18245625 - 15 Dec 2025
Viewed by 344
Abstract
Multiband solar cells offer a promising route to surpass the Shockley-Queisser limit by harnessing sub-bandgap photons through three active energy band transitions. However, realizing their full potential requires overcoming key challenges in material design and device architecture. Here, we propose a novel multiband [...] Read more.
Multiband solar cells offer a promising route to surpass the Shockley-Queisser limit by harnessing sub-bandgap photons through three active energy band transitions. However, realizing their full potential requires overcoming key challenges in material design and device architecture. Here, we propose a novel multiband stacked anti-parallel junction solar cell structure based on highly mismatched alloys (HMAs), in particular dilute GaAsN with ~1–4% N. An anti-parallel junction consists of two semiconductor junctions connected with opposite polarity, enabling bidirectional current control. The structures of the proposed devices are based on dilute GaAsN with anti-parallel junctions, which allow the elimination of tunneling junctions—a critical yet complex component in conventional multijunction solar cells. Semiconductors with three active energy bands have demonstrated the unique properties of carrier transport through the stacked anti-parallel junctions via tunnel currents. By leveraging highly mismatched alloys with tailored electronic properties, our design enables bidirectional carrier generation through forward- and reverse-biased diodes in series, significantly enhancing photocurrent extraction. Through detailed SCAPS-1D simulations, we demonstrate that strategically placed blocking layers prevent carrier recombination at contacts while preserving the three regions of photon absorption in a single multiband semiconductor p/n junction. Remarkably, our optimized five-stacked anti-parallel junctions structure achieves a maximum theoretical conversion efficiency of 70% under 100 suns illumination, rivaling the performance of state-of-the-art six-junctions III-V solar cells—but without the fabrication complexity of multijunction solar cells associated with tunnel junctions. This work establishes that highly mismatched alloys are a viable platform for high efficiency solar cells with simplified structures. Full article
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31 pages, 6117 KB  
Article
Research on Time–Frequency Domain Characteristics Analysis of Fault Arc Under Different Connection Methods
by Siyuan Zeng, Lei Lei, Gang Tian, Yimin Li and Jianhua Wang
Electronics 2025, 14(24), 4840; https://doi.org/10.3390/electronics14244840 - 8 Dec 2025
Viewed by 387
Abstract
Arc fault detection is a key technology for preventing electrical fires. However, existing research has primarily focused on series connections, with insufficient attention paid to parallel load conditions, which are prevalent in real-world residential electricity usage. In accordance with the UL 1699 and [...] Read more.
Arc fault detection is a key technology for preventing electrical fires. However, existing research has primarily focused on series connections, with insufficient attention paid to parallel load conditions, which are prevalent in real-world residential electricity usage. In accordance with the UL 1699 and IEC 62606 standards, this study established an experimental platform for arc faults, incorporating seven single loads (categorized into four types) and nine multi-load combinations. A systematic analysis of the differences in time–frequency characteristics under different connection modes was conducted. Time-domain and frequency-domain analyses revealed that under parallel connection the dispersion of arc fault time-domain characteristics decreases by more than 50% and the fundamental frequency component increases significantly. For parallel multi-load scenarios, the fundamental component of resistive combinations can reach 90%, while the frequency variance of inductive combinations can be as high as 400,000. By elucidating the time–frequency domain characteristics of parallel arc faults, this study proposes an optimized feature parameter analysis scheme for electrical fire monitoring systems. Based on this, this paper proposes an arc fault detection method using the Dual-Channel Convolutional Neural Network (DCNN). The method achieves 97.09% recognition accuracy for arc faults with different connection modes. Comparative experiments with other models and ablation studies show that the model attains 98.52% detection accuracy, verifying the effectiveness of the proposed method. This approach can significantly improve the accuracy of arc fault detection in multi-load environments, thereby enabling early warning of electrical circuit faults and potential fire hazards. Full article
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29 pages, 4063 KB  
Article
Inverting Two-Stage Step-Up Converters
by Felix A. Himmelstoss
Energies 2025, 18(23), 6319; https://doi.org/10.3390/en18236319 - 30 Nov 2025
Viewed by 273
Abstract
Apart from combining two converters by connecting them in parallel at the input and the output sides, one can connect them in parallel at the inputs and in series at the outputs of the stages to increase the power rate and to modify [...] Read more.
Apart from combining two converters by connecting them in parallel at the input and the output sides, one can connect them in parallel at the inputs and in series at the outputs of the stages to increase the power rate and to modify the voltage transformation ratio. Four converter topologies with a limited duty-cycle range are studied for their application as stages for a converter combination, which operates as an inverting two-stage step-up converter. The operation of the converter combinations is studied in the steady state, and the dynamic models (for large and small signals) are derived. The start-up of the converters is analyzed. The stress across the components is calculated, and hints for dimensioning are given. The considerations are proved by LTSpice simulations. The advantages and the disadvantages of the four converters are included. Full article
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16 pages, 968 KB  
Article
Real-Time Reconfiguration of PV Arrays and Control Strategy Using Minimum Number of Sensors and Switches
by Wing Kong Ng and Nesimi Ertugrul
Energies 2025, 18(22), 5866; https://doi.org/10.3390/en18225866 - 7 Nov 2025
Viewed by 481
Abstract
This paper presents a reconfigurable switching circuit and control methodology for mitigating power losses in photovoltaic (PV) systems under partial shading. The proposed hardware uses a simplified network of power MOSFETs and diodes to enable dynamic reconfiguration between series and parallel connections, improving [...] Read more.
This paper presents a reconfigurable switching circuit and control methodology for mitigating power losses in photovoltaic (PV) systems under partial shading. The proposed hardware uses a simplified network of power MOSFETs and diodes to enable dynamic reconfiguration between series and parallel connections, improving energy yield with minimal conduction losses. Unlike conventional approaches that require irradiance measurements or extensive sensing, the control algorithm uses only per-module voltage and a single-current measurement to detect shading events in real time. A novel switching strategy reduces the number of actively controlled transistors, simplifying the control circuitry and reducing power dissipation. Both simulation and experimental results validate the method. Simulations of a 4-module PV system showed maximum power point (MPP) increases from 900 W to over 1100 W and from 460 W to 900 W, with full recovery to 1500 W after shading removal. Experimental verification on a 3-module setup under controlled shading yielded similar improvements: MPP increased from 38.4 W to 45.6 W and from 38.4 W to 45.8 W. These results demonstrate rapid adaptability, effective mismatch loss reduction, and maximisation of available power, making the proposed design a practical and low-overhead solution for commercial PV systems with non-uniform irradiance. Full article
(This article belongs to the Special Issue Intelligent Control for Electrical Power and Energy System)
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20 pages, 3894 KB  
Article
A Novel Efficient Grading of Spent Lithium-Ion Batteries Using Electrochemical Impedance Spectrometry
by Ote Amuta and Julia Kowal
Batteries 2025, 11(11), 404; https://doi.org/10.3390/batteries11110404 - 3 Nov 2025
Viewed by 669
Abstract
With the increasing adoption of lithium-ion batteries (LIBs) as the batteries of choice in electromobility, personal electronic devices, and so on, comes the challenge of ageing, which prevents the batteries from performing optimally and meeting the design intent. This is observed in the [...] Read more.
With the increasing adoption of lithium-ion batteries (LIBs) as the batteries of choice in electromobility, personal electronic devices, and so on, comes the challenge of ageing, which prevents the batteries from performing optimally and meeting the design intent. This is observed in the form of declining power capability due to the increase in resistance and the reduction in capacity that can be stored or discharged from them. Unfortunately, the cost of assessing batteries after the first use remains a daunting challenge. In our work, we propose an approach that carries out fast preliminary grading based on resistance and capacity by first connecting old cells of the same chemistry and model in series with resistors to limit the branch current, then connecting the branches in parallel to equalise the voltages. A Simulink model of NCR18650PF Panasonic cells with adaptive-series resistance is compared with a fixed-series resistance and found to improve the balancing time from over 24 h to just 8 h. Electrochemical impedance spectroscopy (EIS) was carried out on the individual balanced cells between 0.1 Hz and 5 kHz so that the real impedance, imaginary impedance, absolute impedance, and phase were compared with the SOH of the cells at each frequency. Results show that the imaginary impedance in the 6.6 Hz frequency range shows a good correlation coefficient > 0.98 with the SOH, especially with a state of charge (SOC) of about 75–85% for the LCO cells. By selecting only a sample from all the cells that covers a wide range of ages and carrying out a full-capacity checkup on them, a simple correlation with the SOH and the EIS measurements for different frequencies can be used to estimate the SOH of the other cells that were connected in the same parallel connection. This is a considerable time saving in the charge and discharge time on the other cells in facilities that lack the capacity for simultaneous cycling of all cells. There are also huge energy savings in not having to cycle all the cells. Therefore, it offers a more efficient approach to grading spent cells than carrying out full capacity tests. Full article
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19 pages, 4892 KB  
Article
Development of Variable Elastic Band with Adjustable Elasticities for Semi-Passive Exosuits
by Jaewook Ryu, Gyeongmo Kim and Giuk Lee
Biomimetics 2025, 10(11), 734; https://doi.org/10.3390/biomimetics10110734 - 1 Nov 2025
Viewed by 903
Abstract
Active exosuits provide various assistive force profiles but are limited by battery life, weight, and complex maintenance requirements. Passive exosuits, by contrast, are economical and lightweight while also offering unlimited usage times; however, due to their fixed stiffness levels, they can provide only [...] Read more.
Active exosuits provide various assistive force profiles but are limited by battery life, weight, and complex maintenance requirements. Passive exosuits, by contrast, are economical and lightweight while also offering unlimited usage times; however, due to their fixed stiffness levels, they can provide only a limited set of optimized assistive force profiles for different movements. To address these issues, this paper proposes a new variable elastic band for semi-passive exosuits. It comprises rubber bands and webbings connected in parallel, with the elongation of the rubber bands restricted according to the webbing length. By connecting these segments in series, a range of elasticities can be generated. Experimental results confirmed that the band could generate different stiffness levels, which were accurately predicted with an average coefficient of determination (R2) of 0.9985 and an average root mean square error of 0.8993. Additionally, based on tests involving participants wearing the device, the variable elastic band effectively modulated the assistive force profile. These findings overcome the previous limitations of passive components, opening the door to future research on enhancing the efficiency of passive systems and enabling further customization. Full article
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19 pages, 2048 KB  
Article
Scalable Hybrid Arrays Overcome Electrode Scaling Limitations in Micro-Photosynthetic Power Cells
by Kirankumar Kuruvinashetti and Muthukumaran Packirisamy
Energies 2025, 18(21), 5644; https://doi.org/10.3390/en18215644 - 28 Oct 2025
Viewed by 2329
Abstract
Micro-photosynthetic power cells (μPSCs), also known as biophotovoltaics (BPVs), represent sustainable and self-regenerating solutions for harvesting electricity from photosynthetic microorganisms. However, their practical deployment has been constrained by low voltage, low current output, and scaling inefficiencies. In this work, we address these limitations [...] Read more.
Micro-photosynthetic power cells (μPSCs), also known as biophotovoltaics (BPVs), represent sustainable and self-regenerating solutions for harvesting electricity from photosynthetic microorganisms. However, their practical deployment has been constrained by low voltage, low current output, and scaling inefficiencies. In this work, we address these limitations through a dual-optimization strategy: (i) systematic quantification of how electrode surface area influences key performance metrics, and (ii) based on our previous work we highlighted the novel hybrid modular array architectures that combine series and parallel connections of μPSCs. Three single μPSCs with electrode areas of 4.84, 19.36, and 100 cm2 were fabricated and compared, revealing that while open-circuit voltage remains largely area-independent (850–910 mV), both short-circuit current and maximum power scale with electrode size. Building on these insights, two hybrid array configurations fabricated from six 4.84 cm2 μPSCs achieved power outputs of 869.2 μW and 926.4 μW, equivalent to ~82–87% of the output of a large 100 cm2 device, while requiring only ~29% electrode area and ~70% less reagent volume. Importantly, these arrays delivered voltages up to 2.4 V, significantly higher than a single large device, enabling easier integration with IoT platforms and ultra-low-power electronics. A meta-analysis of over 40 reported BPV/μPSC systems with different electrode surface areas further validated our findings, showing a consistent inverse relationship between electrode area and power density. Collectively, this study introduces a scalable, resource-efficient strategy for enhancing μPSC performance, providing a novel design paradigm that advances the state of the art in sustainable bioenergy and opens pathways for practical deployment in distributed, low-power and IoT applications. Full article
(This article belongs to the Special Issue Advances in Optimized Energy Harvesting Systems and Technology)
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15 pages, 1715 KB  
Article
Operational Matching Optimization of Large-Scale Natural Gas Storage Compressor Units
by Hua Chen, Jianfeng Liu, Junfei Wang, Yukang Sun and Lijun Liu
Energies 2025, 18(20), 5435; https://doi.org/10.3390/en18205435 - 15 Oct 2025
Viewed by 475
Abstract
As a core device in the natural gas supply chain, the compressor unit of the gas storage reservoir is crucial to the improvement of storage and transportation efficiency through its operation optimization. Based on the basic structure, working principle, and layout mode of [...] Read more.
As a core device in the natural gas supply chain, the compressor unit of the gas storage reservoir is crucial to the improvement of storage and transportation efficiency through its operation optimization. Based on the basic structure, working principle, and layout mode of the compressor unit of the gas-storage reservoir, this paper establishes a mathematical model for the operation optimization of the compressor unit, proposes an optimization method for the series-parallel operation of the compressor unit, and develops optimization software for the matching operation of the compressor unit. Aiming at the compressor unit used in the gas-storage reservoir with the largest gas injection and production capacity in China, this paper analyzes the variation laws of the compressor inlet temperature and the inlet and outlet pressures during the gas injection cycle, conducts research on the operation-matching optimization of the compressor unit within a one-month long cycle, and obtains the optimization scheme of the series-operation of the compressor unit and the energy-consumption results. Compared with the actual operation data, the monthly power consumption is reduced by 5.12%. The operation optimization situation of the compressor unit on typical days is analyzed to obtain the operation optimization law of the series-connected compressor unit. This research provides a theoretical basis and practical guidance for the operation-scheme optimization of the compressor unit of the gas-storage reservoir and has important practical application value. Full article
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13 pages, 1053 KB  
Proceeding Paper
Combinatorial Comparison of Trace Monoids via Their Dependence Graph Symmetries
by Ioannis Michos and Constantinos Kourouzides
Proceedings 2025, 123(1), 8; https://doi.org/10.3390/proceedings2025123008 - 30 Sep 2025
Viewed by 899
Abstract
We ask whether there exist non-isomorphic trace monoids over a fixed alphabet that have the same average parallelism. This question is related to the bivariate generating series F which counts traces by their height and length; trace monoids with the same F also [...] Read more.
We ask whether there exist non-isomorphic trace monoids over a fixed alphabet that have the same average parallelism. This question is related to the bivariate generating series F which counts traces by their height and length; trace monoids with the same F also possess the same average parallelism. The series F is known to be rational and has been calculated efficiently via the symmetries of the dependence graph, when the latter is connected. We investigate the existence of non-isomorphic dependence graphs (over a common fixed alphabet) with the same series F. Using fractional graph isomorphisms and certain equitable partitions of the Cartier-Foata clique automaton, we prove two classification results. First, we show that all 2-regular independence graphs of the same order share the same generating series F if and only if they have the same number of triangular connected components. Secondly, for any d2, all triangle-free d-regular independence graphs of the same order—except for the complete bipartite graph Kd,d—share this property. The smallest instance of this result for d=3, is the pair consisting of the cube graph Q3 and the Wagner graph M8, both on eight vertices. Full article
(This article belongs to the Proceedings of The 5th International Conference on Symmetry (Symmetry 2025))
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