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Keywords = thermal equivalent circuit analysis

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20 pages, 7792 KB  
Article
Excitation Current Generation Circuit for Electrochemical Impedance Spectroscopy Measurement Based on a Variable-Inductance Bidirectional Ćuk Converter for Wideband AC Excitation
by Do-Hee Kim, Gi-Ho Seo, Min-Soo Song and Rae-Young Kim
Electronics 2026, 15(18), 4223; https://doi.org/10.3390/electronics15184223 - 16 Sep 2026
Viewed by 58
Abstract
Lithium-ion batteries have become essential for electric vehicles and energy storage systems; however, safety risks related to thermal runaway have emerged as a critical concern. Conventional monitoring methods based on voltage, current, and temperature cannot detect internal faults at an early stage. To [...] Read more.
Lithium-ion batteries have become essential for electric vehicles and energy storage systems; however, safety risks related to thermal runaway have emerged as a critical concern. Conventional monitoring methods based on voltage, current, and temperature cannot detect internal faults at an early stage. To address this limitation, proactive diagnostic methods employing electrochemical impedance spectroscopy (EIS) have been extensively investigated. This study presents an excitation-current generation method for EIS measurement based on a variable-inductance bidirectional Ćuk converter. The proposed circuit operates using the energy stored in the battery system, eliminating the need for an external auxiliary power source for excitation energy, while generating sinusoidal excitation currents over a wide frequency range. A small-signal analysis incorporating a first-order battery equivalent circuit model and the parasitic elements of the Ćuk converter was conducted to evaluate system stability and the effects of key design parameters. The experimental results confirm sinusoidal excitation-current generation over the frequency range of 0.1 Hz to 3 kHz. Under a representative test condition, the prototype generates a sinusoidal excitation current with a 2 A peak-to-peak AC component superimposed on a 3 A DC component. These findings verify the feasibility of the proposed method as a dedicated excitation-current generator for embedded EIS measurements. Full article
(This article belongs to the Special Issue Advanced Power Converters: Design, Control and Efficiency)
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19 pages, 10941 KB  
Article
Concentration-Dependent Precursor Engineering with Butylammonium Acetate for Inverted Triple-Cation Perovskite Solar Cells
by Hanhong Zhang, Shaolong Chen and Yushan Yang
Crystals 2026, 16(9), 581; https://doi.org/10.3390/cryst16090581 - 6 Sep 2026
Viewed by 275
Abstract
Butylammonium acetate (BAAc) was investigated as a concentration-dependent precursor additive for inverted triple-cation perovskite solar cells based on FA0.80Cs0.07MA0.13PbI2.64Br0.39. BAAc loadings ranging from 0 to 7 mol% were systematically compared to determine how [...] Read more.
Butylammonium acetate (BAAc) was investigated as a concentration-dependent precursor additive for inverted triple-cation perovskite solar cells based on FA0.80Cs0.07MA0.13PbI2.64Br0.39. BAAc loadings ranging from 0 to 7 mol% were systematically compared to determine how moderate and excessive additive concentrations influence film formation, defect behavior, and device operation. At 3 mol% BAAc, the mean equivalent-circle grain diameter increased from 0.508 to 0.719 μm, and the median increased from 0.495 to 0.688 μm, while cross-sectional SEM confirmed a comparable absorber thickness of 500 ± 20 nm across the series. The PbI2-to-perovskite diffraction peak height ratio decreased from 0.2691 to 0.0427, and the intensity-weighted photoluminescence lifetime increased from 230.2 to 350.0 ns. Light-intensity-dependent open-circuit voltage, impedance spectroscopy, thermal admittance spectroscopy, and space-charge-limited current measurements consistently indicated reduced trap-assisted recombination and transport loss at this concentration. In the EIS analysis, BAAc-3 showed the lowest transport resistance (222.17 ± 9.52 Ω) and the highest recombination resistance (8.211 ± 0.061 kΩ); all principal resistance parameters had relative standard errors below 10%, although systematic high-frequency residuals limit quantitative interpretation of the transport CPE. The champion BAAc-3 device reached 23.37% efficiency, compared with 20.42% for the control, and the 50-device mean increased from 19.63 ± 0.45% to 22.77 ± 0.30%. At 7 mol%, the morphological and electrical trends reversed and the champion efficiency decreased to 19.34%, which defines an over-treatment boundary. The 30-day dry–dark storage and 120 min maximum-power-point tests provide comparative, short-duration stability evidence. The concentration dependence is consistent with a literature-supported working model of precursor coordination and ammonium–halide interactions, without constituting direct spectroscopic identification of a specific complex. Full article
(This article belongs to the Section Materials for Energy Applications)
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50 pages, 22491 KB  
Article
Comparative Simulation and Performance Analysis of Passive and Active Cell Balancing Topologies in Battery Management Systems for Electric Vehicles
by Mehmet Akif Kılınç, Okan Bingöl, Ali Şentürk and Remzi İnan
Batteries 2026, 12(9), 343; https://doi.org/10.3390/batteries12090343 - 5 Sep 2026
Viewed by 414
Abstract
Over the last decade, the proliferation of electric vehicles (EVs) has highlighted the importance of robust battery management systems (BMSs) to mitigate cell imbalance driven by manufacturing tolerances, thermal gradients, and non-uniform aging. To address these limitations, this study presents a MATLAB R2023b/Simulink-based [...] Read more.
Over the last decade, the proliferation of electric vehicles (EVs) has highlighted the importance of robust battery management systems (BMSs) to mitigate cell imbalance driven by manufacturing tolerances, thermal gradients, and non-uniform aging. To address these limitations, this study presents a MATLAB R2023b/Simulink-based comparative performance analysis of passive and active cell balancing topologies for lithium-ion battery packs. Using an equivalent circuit model based on the ORION 18650/26 cell, twelve distinct configurations encompassing passive switched-resistor alongside active inductor, capacitor, transformer, and converter topologies were evaluated. To isolate intrinsic charge-transfer dynamics from multi-cell network latency, all topologies were benchmarked in a standardized adjacent two-cell baseline under a strict convergence threshold (ΔOCV ≤ 1 mV). The simulation results demonstrate that parallel two-inductor and buck–boost topologies achieve the fastest equalization speed (≈1.47–2.53 s), whereas switched-capacitor configurations yield the lowest total energy dissipation (≈0.0011 Wh–0.0013 Wh). Furthermore, to evaluate string-level scalability and multi-hop energy transfer dynamics, the high-performing buck–boost topology was extended and benchmarked in a four-cell series (4S) configuration. The simulation results demonstrate that while the adjacent two-cell baseline achieves fast equalization (≈1.47–2.53 s), the 4S string reaches multi-cell convergence within 12.47–13.94 s, providing quantitative insights into multi-hop routing latency. Overall, this work provides an unconfounded quantitative baseline to support BMS engineers in selecting optimal balancing topologies tailored to specific EV performance, space, and economic constraints. Full article
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26 pages, 1797 KB  
Article
A Fusion Mechanism-Coordinated Dynamic Modeling Approach for Smartphone Battery Depletion Prediction
by Wenqi Hu, Qijian Liu and Zhibin Han
Energies 2026, 19(15), 3669; https://doi.org/10.3390/en19153669 - 4 Aug 2026
Viewed by 356
Abstract
Accurate time-to-empty (TTE) estimation for smartphones remains challenging because battery electrochemical dynamics interact with highly variable device-level power demands. This study develops the Fusion Mechanism-Coordinated Dynamic Model (FM-CDM), a physics-informed theoretical framework that couples a second-order Thevenin equivalent-circuit model with component-level power consumption, [...] Read more.
Accurate time-to-empty (TTE) estimation for smartphones remains challenging because battery electrochemical dynamics interact with highly variable device-level power demands. This study develops the Fusion Mechanism-Coordinated Dynamic Model (FM-CDM), a physics-informed theoretical framework that couples a second-order Thevenin equivalent-circuit model with component-level power consumption, electro-thermal feedback, battery state of health, and stochastic workload generation. TTE is formulated as the first time at which the terminal voltage reaches a 3.2 V cutoff, thereby distinguishing the shutdown condition from SOC = 0%. The algebraic coupling among device power, discharge current, and terminal voltage is resolved using the physically admissible solution of the constant-power load equation. Separate battery and processor thermal states are introduced to represent temperature-dependent internal resistance, battery heat generation, heat dissipation, and processor thermal throttling. Four representative workload classes—Standby, Light, Medium, and Heavy—are considered, with 500 Monte Carlo realizations used for each class to propagate workload and parameter uncertainty. Global sensitivity is evaluated using the Morris elementary-effects method. The illustrative numerical analysis shows that increasing component activity shortens model-estimated runtime and that voltage-triggered shutdown can occur at a nonzero residual SOC, particularly when temperature-dependent resistance and load-induced voltage drop become significant. The framework provides a transparent and reproducible basis for investigating smartphone battery depletion, uncertainty propagation, and mechanism-level energy-management strategies under explicitly defined reference conditions. Full article
(This article belongs to the Special Issue Advanced Battery Technologies for Energy Storage)
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34 pages, 5570 KB  
Review
Advances in the Analytical Modelling and Design of Synchronous Reluctance Machines for Electric Vehicles
by Mohamed Abdulsamad, Himavarsha Dhulipati and Hicham Chaoui
Machines 2026, 14(7), 796; https://doi.org/10.3390/machines14070796 - 14 Jul 2026
Viewed by 532
Abstract
Synchronous Reluctance Machines (SynRMs) have emerged as a strong candidate for electric vehicle (EV) traction owing to their rare-earth-free construction, robust rotor structure, and competitive efficiency relative to permanent magnet (PM) and induction machines (IMs). Their performance, however, is governed by complex electromagnetic [...] Read more.
Synchronous Reluctance Machines (SynRMs) have emerged as a strong candidate for electric vehicle (EV) traction owing to their rare-earth-free construction, robust rotor structure, and competitive efficiency relative to permanent magnet (PM) and induction machines (IMs). Their performance, however, is governed by complex electromagnetic and thermal phenomena—saliency, magnetic saturation, flux-barrier geometry, and temperature-dependent losses—that demand accurate yet computationally tractable modelling. This paper reviews the modelling and design landscape for SynRMs in EV traction, covering analytical approaches (dq models, magnetic equivalent circuits), numerical methods (finite element analysis), and recent hybrid techniques such as the Enhanced Hybrid Subdomain Method (EHSDM). Rotor geometry optimization, including flux-barrier shaping and saliency-ratio enhancement, is examined alongside coupled magnetic–thermal analysis, an aspect typically treated in isolation in earlier surveys. The review compares the trade-offs of competing techniques across the design workflow—from initial sizing to final verification—and identifies open challenges in reducing computational cost while preserving accuracy. The synthesis is intended to guide motor designers toward modelling choices appropriate to each design stage and to highlight directions for future research in high-performance, rare-earth-free traction motors. Full article
(This article belongs to the Section Electrical Machines and Drives)
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42 pages, 17176 KB  
Review
System-Level Review and Advances in Axial-Flux Permanent-Magnet Machines: Topology Classification, Design Optimisation, Materials, Modelling, and Control Strategies
by Roman Tangalychev, Maurizio Guadagno, Viktor Skrickij, Massimo Delogu and Valentin Ivanov
Appl. Sci. 2026, 16(14), 6854; https://doi.org/10.3390/app16146854 - 8 Jul 2026
Cited by 1 | Viewed by 1444
Abstract
Axial-flux permanent-magnet (AFPM) machines are becoming an increasingly promising solution for electromechanical systems requiring high power density. In particular, their use is expanding to electric vehicles (EVs), the aerospace industry, and advanced industrial applications, such as renewable energy applications. Their compact design, high [...] Read more.
Axial-flux permanent-magnet (AFPM) machines are becoming an increasingly promising solution for electromechanical systems requiring high power density. In particular, their use is expanding to electric vehicles (EVs), the aerospace industry, and advanced industrial applications, such as renewable energy applications. Their compact design, high torque-to-mass ratio, and relatively high efficiency make AFPM machines an attractive alternative to traditional radial-flux solutions. However, their integration for widespread application remains limited due to challenges in design, manufacturing, thermal management, and control systems, which ultimately also have an economic impact. This article presents a comprehensive and systematic review of AFPM machines, covering key aspects, including topology classification, design methodologies, electromagnetic modelling, optimisation methods, materials and manufacturing processes, and advanced control strategies. A structured, multi-level classification of AFPM machines is presented, incorporating stator and rotor configurations, magnetic circuit structures, winding types, and materials, thereby providing a unified overview of existing designs. Furthermore, the article presents an in-depth analysis of the sizing equations used to calculate and estimate the parameters, approaches to electromagnetic modelling (including the finite element method and magnetic equivalent circuits), and modern optimisation methods based on artificial intelligence. Particular attention is paid to materials science and new manufacturing technologies, such as soft magnetic composites, printed circuit board stators, and additive manufacturing, as well as to thermal management solutions required for high-power-density applications. This work provides a unified reference framework for researchers and engineers and outlines future directions for the development and industrial adoption of AFPM machines. Full article
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16 pages, 2336 KB  
Article
Numerical Study on Thermodynamic Performance of Shell-and-Tube and Compact Printed-Circuit Heat Exchangers for Aero-Engine Lubricating Oil System
by Huiqing Jiang, Guangle Li, Qian Huang, Wang Li and Yaguo Lyu
Energies 2026, 19(12), 2941; https://doi.org/10.3390/en19122941 - 22 Jun 2026
Viewed by 412
Abstract
To address the continuously increasing thermal load of aero-engines, fuel/lubricating oil heat exchangers are evolving toward higher heat transfer efficiency, lower flow resistance, and lighter weight. This paper numerically compares the thermo-hydraulic performance of a conventional shell-and-tube heat exchanger (STHE) and three typical [...] Read more.
To address the continuously increasing thermal load of aero-engines, fuel/lubricating oil heat exchangers are evolving toward higher heat transfer efficiency, lower flow resistance, and lighter weight. This paper numerically compares the thermo-hydraulic performance of a conventional shell-and-tube heat exchanger (STHE) and three typical types of printed-circuit heat exchangers (PCHEs) for aero-engine applications. The three PCHE configurations fall into two categories based on their flow channel geometries: continuous-rib structures (straight and Z channels) and a discontinuous-rib structure (airfoil channel). All models are established under identical core volume and equivalent diameter to ensure a fair comparison. The results show that the airfoil-channel PCHE achieves the best overall performance. Compared with the STHE, it increases the heat transfer rate by 63%, reduces flow resistance by 76%, expands heat transfer area by 125%, and reduces operating weight by 60%. Flow field analysis reveals that the airfoil channel enables efficient heat transfer without excessive flow resistance through three key mechanisms: leading-edge impingement, periodic boundary layer reconstruction, and uniform flow mixing. This study provides an important reference for the selection and optimization of high-efficiency compact heat exchangers in aero-engines. Full article
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32 pages, 3174 KB  
Article
Electrochemical-Informed Equivalent-Circuit Thermal Framework for Smartphone Battery Drain: Mechanism Analysis, TTE Prediction, and Power-Saving Strategies
by Chuhan Yang, Boyang Gu, Xudong Li, Xinke Zhang and Xuejun Zhang
Batteries 2026, 12(6), 198; https://doi.org/10.3390/batteries12060198 - 29 May 2026
Cited by 1 | Viewed by 571
Abstract
Smartphone battery drain is governed by coupled effects of workload, electrochemical aging, and thermal feedback. Nonlinear behaviors such as voltage collapse remain challenging for traditional models. An electrochemical-informed equivalent-circuit and lumped-thermal continuous-time framework is developed by integrating an equivalent-circuit voltage model with lumped [...] Read more.
Smartphone battery drain is governed by coupled effects of workload, electrochemical aging, and thermal feedback. Nonlinear behaviors such as voltage collapse remain challenging for traditional models. An electrochemical-informed equivalent-circuit and lumped-thermal continuous-time framework is developed by integrating an equivalent-circuit voltage model with lumped thermal dynamics, aging-aware resistance and capacity evolution, driven by a modular decomposition of smartphone power into CPU load, screen power, network power and base power. Time-to-empty (TTE) is defined using the practical voltage collapse rather than the SOC to zero assumption. The model is assessed via local and global sensitivity analysis, and power-saving strategies are derived using an AHP multi-criteria decision-making framework. The SOC fitting quality reaches R2=0.979, and rank-correlation-based importance analysis identifies CPU-related workload factors as the dominant contributor to endurance variation, with a normalized importance score of approximately 40%. The model is evaluated using a train/test-separated validation protocol rather than relying only on fitting quality. Prediction errors are reported separately for SOC, terminal voltage, temperature, and voltage-cutoff-defined TTE. On the unseen test segments, the proposed model achieves SOC RMSE of 0.0402, terminal-voltage RMSE of 0.162 V, temperature RMSE of 1.954 K, and TTE RMSE of 0.34 h under the controlled simulation-based validation setting. These findings support strategies that prioritize CPU-load reduction and usage-aware control, and motivate voltage-collapse-aware power management for heavy workloads and aged batteries. Overall, the main message of this work is that reliable smartphone TTE prediction requires voltage-collapse-aware modeling rather than SOC-only extrapolation. Full article
(This article belongs to the Section Energy Storage System Aging, Diagnosis and Safety)
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39 pages, 10880 KB  
Article
Electro-Thermal Modeling and Simulation of a Battery-Integrated PECIN Multilevel Inverter Using a Switching Model Approach
by Sascha Speer, Christoph Terbrack and Christian Endisch
Batteries 2026, 12(5), 181; https://doi.org/10.3390/batteries12050181 - 20 May 2026
Viewed by 794
Abstract
Cascaded multilevel inverters constitute a promising system concept for battery electric powertrains due to their high efficiency, low harmonic distortion, and advanced battery management capabilities. This study presents a novel electro-thermal simulation framework for the symmetrical Parallel Enhanced Commutation Integrated Nested (PECIN) multilevel [...] Read more.
Cascaded multilevel inverters constitute a promising system concept for battery electric powertrains due to their high efficiency, low harmonic distortion, and advanced battery management capabilities. This study presents a novel electro-thermal simulation framework for the symmetrical Parallel Enhanced Commutation Integrated Nested (PECIN) multilevel inverter. The proposed model employs a control-oriented approach that enables the development and evaluation of advanced inverter and battery control algorithms, which exploit the extensive series-parallel reconfiguration capabilities of the PECIN topology. The framework is based on electrical and thermal equivalent circuit models to capture physical behavior and cross-domain interactions. Electrical network analysis employs algorithms that iterate over each phase-arm network, replacing high-dimensional matrix inversions and thereby enhancing computational efficiency. The overall model is readily adaptable to various system configurations, including different AC and DC charging modes, and scalable with respect to the number of submodules and phases. Simulation results for a 31-level multilevel inverter in a three-phase AC charging configuration demonstrate the model’s operational capabilities. Execution time analysis shows that the current distribution calculation is the key contributor to computational effort as the number of submodules increases, resulting in a quadratic growth of the overall computational time. Full article
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26 pages, 6927 KB  
Article
Multi-Objective Optimization for Through-Silicon via Structure Considering Thermomechanical Reliability and Electrical Performance
by Siyi Chen, Wanlu Hu, Song Xue, Qiongfang Zhang, Jinyang Mu, Shaoyi Liu, Wenzhi Wu, Dongchao Diwu and Congsi Wang
Micromachines 2026, 17(5), 601; https://doi.org/10.3390/mi17050601 - 14 May 2026
Viewed by 861
Abstract
The rapid advancement of high-performance computing has spurred growing demand for miniaturized, high-density, high-power, and highly reliable electronic packaging. Through-silicon via (TSV), as a pivotal technology enabling high-density integrated packaging, achieves vertical interconnection that reduces signal latency and power consumption while substantially improving [...] Read more.
The rapid advancement of high-performance computing has spurred growing demand for miniaturized, high-density, high-power, and highly reliable electronic packaging. Through-silicon via (TSV), as a pivotal technology enabling high-density integrated packaging, achieves vertical interconnection that reduces signal latency and power consumption while substantially improving system integration. However, inherent challenges persist due to coefficient of thermal expansion mismatches among heterogeneous materials in TSV and parasitic effects introduced by high-density TSV arrays, leading to critical concerns regarding thermomechanical reliability and signal integrity. This study focuses on TSV structures, investigating their thermomechanical reliability and electrical performance. First, the macro–micro model of 2.5D package structure was established to address cross-scale challenges based on Representative Volume Element (RVE) homogenization and sub-model technique. Then, an equivalent circuit model integrating transmission line network theory was developed and validated through full-wave electromagnetic simulations using S-parameter analysis to analyze signal transmission characteristics. Finally, by introducing an improved multi-objective grasshopper algorithm, the structural parameters of TSV are co-optimized using a genetic algorithm back propagation network (GA-BP) and an improved multi-objective grasshopper algorithm (IMOGOA) to enhance both thermomechanical reliability and electrical characteristics simultaneously. The proposed approach offers a practical and effective solution for improving the reliability and performance of high-density integrated packaging, providing valuable insights for future packaging design and optimization. Full article
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18 pages, 3309 KB  
Article
Semiconductor–Conductor Transition Analysis by Low-Frequency Impedance in Ultrasonically Synthesized Al-Doped Sodium Tantalate
by Catalin N. Marin, Madalin O. Bunoiu, Paula Sfirloaga and Iosif Malaescu
Crystals 2026, 16(5), 306; https://doi.org/10.3390/cryst16050306 - 4 May 2026
Viewed by 513
Abstract
An aluminum-doped NaTaO3 perovskite sample was prepared by the ultrasonic method, employing an immersed sonotrode, followed by thermal treatment at 600 °C for 6 h in air. X-ray diffraction analysis reveals a biphasic system with relatively low crystallinity, consisting of a dominant [...] Read more.
An aluminum-doped NaTaO3 perovskite sample was prepared by the ultrasonic method, employing an immersed sonotrode, followed by thermal treatment at 600 °C for 6 h in air. X-ray diffraction analysis reveals a biphasic system with relatively low crystallinity, consisting of a dominant NaTaO3 perovskite phase and a secondary Na2Ta4O11 phase. Optical investigations indicate a reduced band gap energy of 3.77 eV compared to undoped NaTaO3 (4 eV), suggesting enhanced absorption toward the infrared region and improved photocatalytic potential. Fourier Transform Infrared FTIR Spectroscopy highlights the emergence of a distinct absorption band at 670 cm−1, attributed to Ta–O and Al–O stretching vibrations, evidencing successful incorporation of Al dopants. Complex impedance analysis over the frequency and temperature ranges of (20 Hz–2 MHz) and (29–100) °C identifies, for the first time, the semiconductor–conductor transition temperature at 58 °C. Nyquist analysis further supports the coexistence of grain and grain boundary contributions, modeled via equivalent R and CPE parallel circuits. Conductivity studies confirm obedience to Jonscher’s universal law, with a change in σDC slope near 54 °C, corroborating semiconductor–conductor transition behavior. Dielectric measurements similarly indicate a relaxation process linked to interfacial polarization, with a transition temperature of (~54 °C). Overall, the ultrasonic synthesis route uniquely enables a biphasic structure that facilitates the observation of a low-temperature semiconductor-to-conductor transition, absent in analogous single-phase materials obtained via sol–gel methods. Full article
(This article belongs to the Section Inorganic Crystalline Materials)
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29 pages, 14835 KB  
Article
Thermo-Structural Analysis and Deformation Prediction of Airfoil Fin Printed Circuit Heat Exchangers
by Haolun Li, Xiyan Guo and Zhouhang Li
Energies 2026, 19(9), 2119; https://doi.org/10.3390/en19092119 - 28 Apr 2026
Viewed by 593
Abstract
Airfoil fin Printed Circuit Heat Exchangers (PCHEs) offer significant advantages in reducing flow resistance, promoting turbulence, and enhancing heat transfer performance due to their discrete fin configuration. However, compared with conventional continuous-channel structures, the geometric discontinuities and sharp trailing edges introduced by discrete [...] Read more.
Airfoil fin Printed Circuit Heat Exchangers (PCHEs) offer significant advantages in reducing flow resistance, promoting turbulence, and enhancing heat transfer performance due to their discrete fin configuration. However, compared with conventional continuous-channel structures, the geometric discontinuities and sharp trailing edges introduced by discrete fins tend to induce severe stress concentration at the fin roots, resulting in a more complex structural response. In this study, a PCHE core with NACA0020 airfoil fins is investigated. Finite element analysis combined with a sequential one-way thermo-structural coupling approach is conducted to characterize the fins’ stress and deformation behavior under high temperature and pressure. The plate region is evaluated based on the linear elastic stress criteria specified in ASME Boiler and Pressure Vessel Code Section III, while localized yielding regions such as the fin roots are assessed using an equivalent plastic strain indicator. Results indicate that the structural response of the PCHE core is dominated by pressure loading under the investigated operating conditions with ΔT = 18 °C and ΔP = 12.05 MPa, whereas thermal stress caused by constrained thermal expansion mainly modifies local stress distributions and has a limited effect on global deformation. Owing to the discontinuous support provided by discrete airfoil fins, the fin roots act as the primary load-transfer path and sustain higher stress levels. The maximum von Mises stress is observed at the trailing edge of the fin root on the high-pressure side, while the largest deformation occurs in the unsupported plate region and is governed by bending. Parametric analysis indicates that, within the investigated parameter range, a fully staggered fin arrangement promotes more uniform load distribution and exhibits the most favorable structural response. In contrast, increasing the fin chord length and relative thickness reduces the overall load-carrying capacity of the core. Finally, a power-law predictive correlation for the maximum total plate deformation was developed, showing that the parameter influence on plate structural response follows the order horizontal pitch (Lh) > vertical pitch (Lv) > channel etching depth (Le) > staggered pitch (Ls). In contrast, normalized sensitivity analysis of the maximum fin-root von Mises stress shows the order staggered pitch (Ls) > horizontal pitch (Lh) > vertical pitch (Lv) > channel etching depth (Le), indicating that global plate deformation and local fin-root response are governed by different structural mechanisms. Full article
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27 pages, 6306 KB  
Article
Dynamic Thermal Resistance-Capacity Modeling and Thermal Short-Circuit Analysis: A Study on Natural Convection in a Direct-Expansion CO2 Downhole Heat Exchanger
by Yang Yu, Jing Wang, Xinyue Li, Jinyu Zhao, Shuman Wang, Fei Ma, Jun Zhao and Yang Li
Energies 2026, 19(9), 2015; https://doi.org/10.3390/en19092015 - 22 Apr 2026
Viewed by 599
Abstract
This study addresses the challenge of thermal accumulation and low efficiency in conventional ground heat exchangers for building heating and cooling applications. A novel direct-expansion CO2 borehole heat exchanger (BHE) backfilled with well water is proposed to enhance heat transfer and mitigate [...] Read more.
This study addresses the challenge of thermal accumulation and low efficiency in conventional ground heat exchangers for building heating and cooling applications. A novel direct-expansion CO2 borehole heat exchanger (BHE) backfilled with well water is proposed to enhance heat transfer and mitigate soil thermal imbalance. A dynamic thermal resistance-capacity model (TRCM) coupling CO2 phase change with natural convection in well water is developed and validated against full-scale field experiments (135 m depth), with prediction errors below 5% under cooling conditions (MAPE 2.29%, RMSE 2.49%). Quantitative analysis reveals that natural convection in well water enhances overall heat transfer by 14.9% compared to soil-backfilled systems, despite intensifying thermal short-circuiting. Two practical enhancement strategies for building energy efficiency are proposed: (1) adding insulation to the rising pipe, which increases the heat transfer rate by up to 35.1%; and (2) implementing artificial well-water circulation, which achieves up to 50.5% enhancement, with an equivalent coefficient of performance (COP) reaching 52.5 under intermittent operation. The proposed system and the parametric analysis of these strategies offer effective solutions for improving the energy performance of ground-source heat pumps in buildings, contributing to reduced operational energy consumption and enhanced system reliability. Full article
(This article belongs to the Special Issue Heat Transfer Performance and Influencing Factors of Waste Management)
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16 pages, 5549 KB  
Article
A Non-Stationary Model for Analysis of Impedance Spectra of Biological Samples
by Gabriela Janik, Urszula Kamińska, Marta Kasprzyk, Leszek Niedzicki and Teodor Buchner
Entropy 2026, 28(3), 291; https://doi.org/10.3390/e28030291 - 4 Mar 2026
Cited by 2 | Viewed by 1247
Abstract
Electric impedance spectrum (EIS) is attracting attention in many areas of science, ranging from electrochemistry and material science to medical diagnosis. Interestingly, theoretical description often stops at material constants and specific physical mechanisms are represented by equivalent circuit elements, which is also motivated [...] Read more.
Electric impedance spectrum (EIS) is attracting attention in many areas of science, ranging from electrochemistry and material science to medical diagnosis. Interestingly, theoretical description often stops at material constants and specific physical mechanisms are represented by equivalent circuit elements, which is also motivated by the common use of various bridge methods. This specifically applies to biological samples, which exhibit a rich variety of responses to the electric field. Here, we present a step further from the description that utilizes equivalent circuit elements. We demonstrate how alteration of the mesoscopic structure affects the EIS in a biological sample: a cucumber under thermal treatment that comprises a cooling and warming phase. As the freezing temperature of water is exceeded during the cycle, the cucumber becomes frosted, which leads to unrecoverable changes in the internal structure, with no change of chemical composition. The experimental evidence is complemented by theoretical analysis, based on a novel approach to modeling non-stationary problems, derived from the stationary Poisson–Boltzmann equation. We demonstrate a qualitative agreement between the theoretical and the experimental results, and discuss the procedure for tuning the model. We also demonstrate that, of the temperature variations of the position of the beta dispersion, the one related to the mesoscopic structure, can be used to assess the ionic strength of the material, determine the microscopic diffusion constant, or reflect the changes in mesoscopic structure, depending on experimental protocol. Full article
(This article belongs to the Special Issue Alive or Not Alive: Entropy and Living Things)
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17 pages, 5415 KB  
Article
Magnetic Equivalent Circuit-Based Performance Evaluation of Modular PCB AFPM Motor for Electric Water Pumps
by Do-Hyeon Choi, Won-Ho Kim and Hyungkwan Jang
Actuators 2026, 15(2), 87; https://doi.org/10.3390/act15020087 - 1 Feb 2026
Cited by 2 | Viewed by 1233
Abstract
Electric Water Pumps (EWPs) are being adopted more widely to improve thermal management in internal combustion engines and electrified powertrain systems. In this context, the drive motor must deliver high efficiency and reliability despite a strict volume constraint. This paper addresses a key [...] Read more.
Electric Water Pumps (EWPs) are being adopted more widely to improve thermal management in internal combustion engines and electrified powertrain systems. In this context, the drive motor must deliver high efficiency and reliability despite a strict volume constraint. This paper addresses a key drawback of coreless printed circuit board (PCB) stator axial-flux permanent-magnet machines for EWP use: the PCB traces are directly exposed to the magnet flux, which increases AC loss, while the required phase resistance also leads to non-negligible DC copper loss. To mitigate both loss components within the same conductor design space, a pyramid trace concept is introduced. A magnetic equivalent circuit (MEC) based model is first used to estimate the baseline performance as the number of PCB stator modules changes, and the resulting scalability is examined in terms of module commonality. The final design then applies the pyramid trace layout with a layer-dependent trace width that is narrower on the layers closer to the magnets and wider on the layers farther away—the trade-off between AC loss and DC loss is optimized using 3D finite element analysis. Torque predictions from the simplified MEC model are cross-checked against 3D finite element analysis (FEA), and finally, a prototype is built to validate the analysis with experimental measurements; for the final selected model, the torque prediction error is 2.37% compared with the validation result. Full article
(This article belongs to the Section High Torque/Power Density Actuators)
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