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19 pages, 378 KB  
Article
Two-Fluid Model for Anisotropic Fluid Spacetime with Specific Stress–Energy Tensor Constraints and f(R)-Gravity
by Mohd Danish Siddiqi and Ali H. Hakami
Mathematics 2026, 14(5), 896; https://doi.org/10.3390/math14050896 - 6 Mar 2026
Viewed by 227
Abstract
A two-fluid model can be described by an anisotropic fluid matter, and we introduced the notion of an anisotropic fluid spacetime. The algebraic and differential properties of an anisotropic fluid spacetime equipped with several forms of the stress–energy tensor is the focus of [...] Read more.
A two-fluid model can be described by an anisotropic fluid matter, and we introduced the notion of an anisotropic fluid spacetime. The algebraic and differential properties of an anisotropic fluid spacetime equipped with several forms of the stress–energy tensor is the focus of this research. We show that an anisotropic fluid spacetime with a radial pressure p, transverse pressure p, and the energy density ρ is a generalized quasi-Einstein spacetime. We prove that a dark matter era or an anisotropic fluid spacetime with vanishing vorticity is represented by an anisotropic fluid spacetime endowed with a covariant constant stress–energy tensor; on the contrary, a dark matter era or the expansion scalar vanishes is represented by an anisotropic fluid spacetime endowed with a Codazzi type of stress–energy tensor, as long as A stays invariant under the velocity vector field ζ. Furthermore, we use the Killing velocity vector field, parallel vector fields to characterize Ricci Semi-Symmetric, T-recurrent, Pseudo-Ricci symmetric, and R^-harmonic anisotropic fluid spacetime. We find that the anisotropic fluid spacetime reflect a stiff matter and a radiation era with these geometric symmetries. Finally, we provide findings for an anisotropic fluid spacetime with a divergence-free matter tensor and the vanishing space-matter tensor and explore the dynamical aspects of cosmological epoch of an anisotropic fluid spacetime coupled with f(R)-gravity. Full article
(This article belongs to the Section B: Geometry and Topology)
17 pages, 10649 KB  
Article
Full-Speed Range Control Method of 390 kW Induction Motors in Railway System Using a HANPC Inverter
by Do-Hyeon Kim, Min-Seong Kim and June-Seok Lee
Energies 2026, 19(4), 900; https://doi.org/10.3390/en19040900 - 9 Feb 2026
Viewed by 238
Abstract
This paper proposes a full-speed range control method for an induction motor (IM) in railway systems using a hybrid-active neutral point clamped (HANPC) inverter. In railway systems, the demand for improving the efficiency of power semiconductors increases. Therefore, this paper proposes an IM [...] Read more.
This paper proposes a full-speed range control method for an induction motor (IM) in railway systems using a hybrid-active neutral point clamped (HANPC) inverter. In railway systems, the demand for improving the efficiency of power semiconductors increases. Therefore, this paper proposes an IM control method for the railway system that utilizes an HANPC inverter to minimize switching losses and current harmonics. Additionally, this paper analyzes the control methods for different driving regions based on the motor’s speed, including neutral point voltage balancing compensation, indirect vector control, and field weakening control. Additionally, this paper utilizes synchronous pulse width modulation (PWM) methods to improve the railway system’s control performance. The proposed method’s validity and feasibility are verified through the experimental results using a high-power inverter driving a 390 kW IM. Full article
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32 pages, 3932 KB  
Review
Microplastic-Mediated Dissemination of Antibiotic Resistance Genes in Marine Environments: Mechanisms, Environmental Modulators, and Emerging Risks
by Himanshu Jangid, Arun Karnwal, Gajender Kumar Aseri, Rattandeep Singh and Gaurav Kumar
Microplastics 2026, 5(1), 27; https://doi.org/10.3390/microplastics5010027 - 6 Feb 2026
Viewed by 399
Abstract
The convergence of global plastic pollution and antimicrobial resistance crises has intensified concerns about the role of microplastics (MPs) in disseminating antibiotic resistance genes (ARGs) in marine environments. This review synthesizes the mechanistic pathways through which MPs act as vectors for ARG propagation, [...] Read more.
The convergence of global plastic pollution and antimicrobial resistance crises has intensified concerns about the role of microplastics (MPs) in disseminating antibiotic resistance genes (ARGs) in marine environments. This review synthesizes the mechanistic pathways through which MPs act as vectors for ARG propagation, supported by a bibliometric analysis of 144 studies retrieved from Scopus. MPs possess distinct physicochemical properties such as nanoplastic formation, polymer-specific sorption, weathering-induced oxidation, and additive leachate release that facilitate microbial colonization and biofilm formation. These plastisphere biofilms, enriched with mobile genetic elements including integrons, transposons, and plasmids, promote ARG transfer via conjugation, transformation, and transduction. Environmental modulators like salinity, oxygen, nutrients, pH, UV exposure, and reactive oxygen species further accelerate horizontal gene transfer, while co-selection pressures from heavy metals and antibiotics amplify resistance dissemination. Bibliometric mapping reveals a sharp rise in publications since 2018, with China leading contributions and major research themes centered on horizontal gene transfer, metagenomics, nanoplastics, and biofilm-mediated resistome evolution. Overall, marine MPs substantially intensify ARG spread through complex microbe–plastic–pollutant interactions, posing significant ecological and public health risks. Addressing current gaps, such as limited field validation, underexplored nanoplastic mechanisms, geographic bias, and lack of standardized monitoring, requires harmonized surveillance, omics integration, pollutant mixture modeling, and One Health-based risk assessment to inform global policy interventions. Full article
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15 pages, 290 KB  
Article
Rigidity and Conformal Characterizations of Noncompact Gradient Schouten Solitons
by Ali H. Alkhaldi, Fatemah Mofarreh, Huda M. Alshanbari and Akram Ali
Mathematics 2026, 14(3), 562; https://doi.org/10.3390/math14030562 - 4 Feb 2026
Viewed by 276
Abstract
This paper studies the conformal geometry of complete gradient Schouten solitons (GSSs) admitting closed conformal vector fields (CVFs). We establish rigidity and characterization results for nonparallel, homothetic closed CVFs under the assumption that the gradient of the scalar curvature is parallel to the [...] Read more.
This paper studies the conformal geometry of complete gradient Schouten solitons (GSSs) admitting closed conformal vector fields (CVFs). We establish rigidity and characterization results for nonparallel, homothetic closed CVFs under the assumption that the gradient of the scalar curvature is parallel to the CVF. It is shown that such manifolds are isometric to Euclidean space. Moreover, complete noncompact GSSs with constant scalar curvature are locally conformally flat in dimension four and have harmonic Weyl curvature in higher dimensions. Finally, we prove that these manifolds are totally umbilical if and only if their scalar curvature is constant, and they form warped products with space forms. Full article
40 pages, 16924 KB  
Article
Event-Triggered Extension of Duty-Ratio-Based MPDSC with Field Weakening for PMSM Drives in EV Applications
by Tarek Yahia, Z. M. S. Elbarbary, Saad A. Alqahtani and Abdelsalam A. Ahmed
Machines 2026, 14(2), 137; https://doi.org/10.3390/machines14020137 - 24 Jan 2026
Viewed by 305
Abstract
This paper proposes an event-triggered extension of duty-ratio-based model predictive direct speed control (DR-MPDSC) for permanent magnet synchronous motor (PMSM) drives in electric vehicle (EV) applications. The main contribution is the development of an event-triggered execution framework specifically tailored to DR-MPDSC, in which [...] Read more.
This paper proposes an event-triggered extension of duty-ratio-based model predictive direct speed control (DR-MPDSC) for permanent magnet synchronous motor (PMSM) drives in electric vehicle (EV) applications. The main contribution is the development of an event-triggered execution framework specifically tailored to DR-MPDSC, in which control updates are performed only when the speed tracking error violates a prescribed condition, rather than at every sampling instant. Unlike conventional MPDSC and time-triggered DR-MPDSC schemes, the proposed strategy achieves a significant reduction in control execution frequency while preserving fast dynamic response and closed-loop stability. An optimized duty-ratio formulation is employed to regulate the effective application duration of the selected voltage vector within each sampling interval, resulting in reduced electromagnetic torque ripple and improved stator current quality. An extended Kalman filter (EKF) is integrated to estimate rotor speed and load torque, enabling disturbance-aware predictive speed control without mechanical torque sensing. Furthermore, a unified field-weakening strategy is incorporated to ensure wide-speed-range operation under constant power constraints, which is essential for EV traction systems. Simulation and experimental results demonstrate that the proposed event-triggered DR-MPDSC achieves steady-state speed errors below 0.5%, limits electromagnetic torque ripple to approximately 2.5%, and reduces stator current total harmonic distortion (THD) to 3.84%, compared with 5.8% obtained using conventional MPDSC. Moreover, the event-triggered mechanism reduces control update executions by up to 87.73% without degrading transient performance or field-weakening capability. These results confirm the effectiveness and practical viability of the proposed control strategy for high-performance PMSM drives in EV applications. Full article
(This article belongs to the Section Electrical Machines and Drives)
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12 pages, 641 KB  
Article
Second-Harmonic Generation in Optical Fibers Under an External Electric Field
by Lanlan Liu, Chongqing Wu, Zihe Huang, Linkai Xia and Kaihong Wang
Appl. Sci. 2026, 16(2), 1136; https://doi.org/10.3390/app16021136 - 22 Jan 2026
Viewed by 169
Abstract
A method for the second-harmonic generation (SHG) in optical fibers by exploiting the third-order nonlinearity under an external electric field is proposed. The analysis begins with the electric polarization vector of the SHG, and the analytical solution for the SHG is presented. When [...] Read more.
A method for the second-harmonic generation (SHG) in optical fibers by exploiting the third-order nonlinearity under an external electric field is proposed. The analysis begins with the electric polarization vector of the SHG, and the analytical solution for the SHG is presented. When fiber birefringence is neglected, a mode-field matching condition is introduced. The nonlinearity-induced shift in propagation constant is provided based on Gaussian approximation. For a specific case, the power of SHG is calculated. The results show that the SHG power scales quadratically with the nonlinear coefficient. Reducing the effective area of the fiber and increasing the nonlinear coefficient can enhance the SHG power by 1–2 orders of magnitude. Since phase matching strongly affects the SHG process, optimizing the fiber design is crucial. Additionally, the polarization state of SHG is shown to have the same as the equivalent optical field of the injected fundamental wave. This work demonstrates potential for distributed sensing of electric fields and lightning events in high-voltage power grids using optical fibers. Full article
(This article belongs to the Special Issue Applications of Nonlinear Optical Devices and Materials)
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18 pages, 295 KB  
Article
Characterizations of Pseudo-Symmetric Space–Times in Gray’s Subspaces and f(R)-Gravity Vacuum Solutions
by Awatif Al-Jedani, Sameh Shenawy, Uday Chand De and Abdallah Abdelhameed Syied
Mathematics 2026, 14(2), 305; https://doi.org/10.3390/math14020305 - 15 Jan 2026
Viewed by 212
Abstract
This paper investigates pseudo-symmetric space–times within two interrelated frameworks: vacuum f(R)-gravity and Gray’s seven canonical decomposition subspaces. First, it is established that any conformally flat pseudo-symmetric space–time satisfying the vacuum field equations of f(R)-gravity necessarily [...] Read more.
This paper investigates pseudo-symmetric space–times within two interrelated frameworks: vacuum f(R)-gravity and Gray’s seven canonical decomposition subspaces. First, it is established that any conformally flat pseudo-symmetric space–time satisfying the vacuum field equations of f(R)-gravity necessarily corresponds to a perfect fluid. Subsequently, a detailed analysis of Gray’s subspaces reveals the following structural results: In the trivial and 𝒜 subspaces, pseudo-symmetric space–times are Ricci-simple and Weyl-harmonic, and thus are necessarily generalized Robertson–Walker space–times. In the B and 𝒜B subspaces, the associated time-like vector field ξl is shown to be an eigenvector of the Ricci tensor with the eigenvalue R/2. Furthermore, for a perfect fluid pseudo-symmetric space–time obeying f(R)-gravity and belonging to the trivial, 𝒜, B, or 𝒜B subspaces, the isotropic pressure p and energy density σ are proven to be constants. Additionally, it is demonstrated that Gray’s I subspace reduces to the B subspace in the pseudo-symmetric setting. Finally, under specific geometric conditions, pseudo-symmetric space–times in the I𝒜 and IB subspaces are also shown to admit perfect fluid representations. These results collectively clarify the geometric and physical constraints imposed by pseudo-symmetry within f(R)-gravity and Gray’s classification scheme. Full article
(This article belongs to the Section E4: Mathematical Physics)
17 pages, 1336 KB  
Article
Transitions from Coplanar Double-Q to Noncoplanar Triple-Q States Induced by High-Harmonic Wave-Vector Interaction
by Satoru Hayami
Condens. Matter 2025, 10(4), 60; https://doi.org/10.3390/condmat10040060 - 28 Nov 2025
Viewed by 627
Abstract
We theoretically investigate topological transitions between coplanar and noncoplanar magnetic states in centrosymmetric itinerant magnets on a square lattice. A canonical effective spin model incorporating bilinear and biquadratic exchange interactions at finite wave vectors is analyzed to elucidate the emergence of multiple-Q [...] Read more.
We theoretically investigate topological transitions between coplanar and noncoplanar magnetic states in centrosymmetric itinerant magnets on a square lattice. A canonical effective spin model incorporating bilinear and biquadratic exchange interactions at finite wave vectors is analyzed to elucidate the emergence of multiple-Q magnetic orders. By taking into account high-harmonic wave-vector interactions, we demonstrate that a coplanar double-Q spin texture continuously evolves into a noncoplanar triple-Q state carrying a finite scalar spin chirality. The stability of these multiple-Q states is examined using simulated annealing as a function of the relative strengths of the high-harmonic coupling, the biquadratic interaction, and the external magnetic field. The resulting phase diagrams reveal a competition between double-Q and triple-Q states, where the noncoplanar triple-Q phase is stabilized through the cooperative effect of the high-harmonic and biquadratic interactions. Real-space spin textures, spin structure factors, and scalar spin chirality distributions are analyzed to characterize the distinct magnetic phases and the topological transitions connecting them. These findings provide a microscopic framework for understanding the emergence of noncoplanar magnetic textures driven by the interplay between two- and four-spin interactions in centrosymmetric itinerant magnets. Full article
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25 pages, 5468 KB  
Article
Dynamic Evolution of Energy Efficiency in the Building Sector: A Changepoint Detection and Text Processing-Based Bibliometric Analysis
by Tudor Bungau, Constantin C. Bungau, Codruta Bendea, Ioana Francesca Hanga-Farcas and Gabriel Bendea
Algorithms 2025, 18(12), 745; https://doi.org/10.3390/a18120745 - 27 Nov 2025
Viewed by 514
Abstract
Energy efficiency in buildings is a vital subject within sustainable construction and climate change mitigation, yet comprehensive bibliometric analyses mapping the complete evolution of this domain remain limited. This study provides a comprehensive four-decade analysis (1981–2025) of building energy efficiency research using data [...] Read more.
Energy efficiency in buildings is a vital subject within sustainable construction and climate change mitigation, yet comprehensive bibliometric analyses mapping the complete evolution of this domain remain limited. This study provides a comprehensive four-decade analysis (1981–2025) of building energy efficiency research using data from the Web of Science database, employing VOSviewer (1.6.20), Bibliometrix (4.3.0), and custom Python (3.12.3) scripts with automated terminology normalization through TF-IDF vectorization (n-grams 2–3) and cosine similarity algorithms (threshold = 0.75). Two critical methodological innovations distinguish this investigation: first, Pruned Exact Linear Time changepoint detection statistically validated 2011 as the field’s statistically validated transition point (Mann–Whitney U test, p < 0.000001, effect size = 2.48), replacing arbitrary decade-based periodization; second, computational keyword harmonization enabled precise thematic evolution mapping across inconsistent terminology. The analysis reveals marked increase in research post-2011, with median annual output increasing from 15 articles (1981–2011) to 840.5 articles (2012–2024), and China emerging as the preeminent research center with 2978 publications. Thematic evolution analysis demonstrates fundamental transformation from seven specialized research themes (i.e., behavior, heat-transfer, simulation, impact, performance, consumption, optimization) in the foundational period to dramatic consolidation into two dominant themes (i.e., performance and simulation) in the contemporary period, reflecting maturation from fragmented, component-focused investigations toward holistic, integrated frameworks. International collaboration network analysis identifies four distinct geographic clusters with China, United States, United Kingdom, and Italy serving as central hubs. These findings provide actionable intelligence for researchers, policymakers, and industry stakeholders, while the computationally enhanced framework offers a replicable methodology for bibliometric analysis in other rapidly evolving interdisciplinary domains. Full article
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31 pages, 807 KB  
Review
A Review of Key Technologies for Active Midpoint Clamping (ANPC) Topology in Energy Storage Converters: Modulation Strategies, Redundant Control, and Multi-Physics Field Co-Optimization
by Hui Huang, Shuai Cao, Bin Yi, Lianghe Zhu, Pandian Luo, Wei Xu, Gouyi Chen and Dake Li
Energies 2025, 18(23), 6169; https://doi.org/10.3390/en18236169 - 25 Nov 2025
Viewed by 720
Abstract
To enhance the operational efficiency of energy storage converters in grid-connected systems with high renewable penetration, this study systematically investigates key technologies of active neutral-point clamped (ANPC) topology under “electrical–thermal–mechanical” multi-physical field coupling. The study reviews recent progress in structural design, modulation strategies, [...] Read more.
To enhance the operational efficiency of energy storage converters in grid-connected systems with high renewable penetration, this study systematically investigates key technologies of active neutral-point clamped (ANPC) topology under “electrical–thermal–mechanical” multi-physical field coupling. The study reviews recent progress in structural design, modulation strategies, and fault-tolerant control, highlighting their impact on efficiency, reliability, and power density. At the structural stage, a hybrid SiC/IGBT device configuration combined with a three-dimensional stacked bus reduces conduction loss and achieves parasitic inductance. In the modulation stage, improved finite-set model predictive control and adaptive space vector modulation shorten computation time to 20 µs and keep total harmonic distortion (THD) within 2.8%. System-level evaluations demonstrate that a 250 kW ANPC converter attains a peak efficiency of 99.1%, a power density of 4.5 kW/kg, and a mean time between failure exceeding 150,000 h. These findings reveal a clear transition from single-objective performance improvement toward integrated multi-physics co-design. By unifying advanced modulation, intelligent fault-tolerant control, and multi-field coupling optimization, ANPC-based converters advance converters to a new stage of higher efficiency, reliability, and stability. The results provide essential technical support for next-generation power conversion systems in renewable-rich grids. Full article
(This article belongs to the Special Issue Advancements in Power Electronics for Power System Applications)
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19 pages, 2873 KB  
Article
High-Performance Sensorless Control of Induction Motors via ANFIS and NPC Inverter Topology
by Zina Boussada, Bassem Omri and Mouna Ben Hamed
Symmetry 2025, 17(11), 1996; https://doi.org/10.3390/sym17111996 - 18 Nov 2025
Viewed by 625
Abstract
This paper presents a high-performance sensorless control strategy for induction motors using an Adaptive Neuro-Fuzzy Inference System (ANFIS) for rotor speed estimation, eliminating the need for mechanical sensors. The ANFIS approach leverages stator voltages and currents, reducing costs and complexity. The motor is [...] Read more.
This paper presents a high-performance sensorless control strategy for induction motors using an Adaptive Neuro-Fuzzy Inference System (ANFIS) for rotor speed estimation, eliminating the need for mechanical sensors. The ANFIS approach leverages stator voltages and currents, reducing costs and complexity. The motor is controlled via Indirect Stator Field Orientation Control (ISFOC) with a three-level Neutral–Point–Clamped (NPC) inverter employing Space Vector Modulation (SVM). Symmetry in the motor’s magnetic structure and SVM’s switching patterns enhances control precision, stability, and efficiency while minimizing harmonic distortion. Simulation results validate the proposed ANFIS-based estimator’s superior performance compared to a MRAS-based Luenberger observer under various operating conditions, demonstrating accurate speed tracking and robustness against load disturbances. Full article
(This article belongs to the Section Engineering and Materials)
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66 pages, 726 KB  
Review
New Perspectives on Kac–Moody Algebras Associated with Higher-Dimensional Manifolds
by Rutwig Campoamor-Stursberg, Alessio Marrani and Michel Rausch de Traubenberg
Axioms 2025, 14(11), 809; https://doi.org/10.3390/axioms14110809 - 31 Oct 2025
Viewed by 656
Abstract
In this review, we present a general framework for the construction of Kac–Moody (KM) algebras associated to higher-dimensional manifolds. Starting from the classical case of loop algebras on a circle S1, we extend the approach to compact and non-compact group manifolds, [...] Read more.
In this review, we present a general framework for the construction of Kac–Moody (KM) algebras associated to higher-dimensional manifolds. Starting from the classical case of loop algebras on a circle S1, we extend the approach to compact and non-compact group manifolds, coset spaces, and soft deformations thereof. After recalling the necessary geometric background on Riemannian manifolds, Hilbert bases, and Killing vectors, we present the construction of generalized current algebras g(M), their semidirect extensions with isometry algebras, and their central extensions. We show how the resulting algebras are controlled by the structure of the underlying manifold, and we illustrate the framework through explicit realizations on SU(2), SU(2)/U(1), and higher-dimensional spheres, highlighting their relation to Virasoro-like algebras. We also discuss the compatibility conditions for cocycles, the role of harmonic analysis, and some applications in higher-dimensional field theory and supergravity compactifications. This provides a unifying perspective on KM algebras beyond one-dimensional settings, paving the way for further exploration of their mathematical and physical implications. Full article
(This article belongs to the Special Issue New Perspectives in Lie Algebras, 2nd Edition)
22 pages, 367 KB  
Article
Optimal Hölder Regularity for Discontinuous Sub-Elliptic Systems Structured on Hörmander’s Vector Fields
by Dongni Liao and Jialin Wang
Axioms 2025, 14(10), 761; https://doi.org/10.3390/axioms14100761 - 12 Oct 2025
Viewed by 522
Abstract
This paper studies discontinuous quasilinear sub-elliptic systems associated with Hörmander’s vector fields under controllable and natural growth conditions. By a new A-harmonic approximation reformulation for bilinear forms ABil(RkN,RkN), we obtain [...] Read more.
This paper studies discontinuous quasilinear sub-elliptic systems associated with Hörmander’s vector fields under controllable and natural growth conditions. By a new A-harmonic approximation reformulation for bilinear forms ABil(RkN,RkN), we obtain optimal partial Hölder continuity with exact exponents for weak solutions with vanishing mean oscillation coefficients. Full article
22 pages, 5131 KB  
Article
Predictive Torque Control for Induction Machine Fed by Voltage Source Inverter: Theoretical and Experimental Analysis on Acoustic Noise
by Bouyahi Henda and Adel Khedher
Acoustics 2025, 7(4), 63; https://doi.org/10.3390/acoustics7040063 - 11 Oct 2025
Viewed by 978
Abstract
Induction motors piloted by voltage source inverters constitute a major source of acoustic noise in industry. The discrete tonal bands generated by induction motor stator current spectra controlled by the fixed Pulse Width Modulation (PWM) technique have damaging effects on the electronic noise [...] Read more.
Induction motors piloted by voltage source inverters constitute a major source of acoustic noise in industry. The discrete tonal bands generated by induction motor stator current spectra controlled by the fixed Pulse Width Modulation (PWM) technique have damaging effects on the electronic noise source. Nowadays, the investigation of new advanced control techniques for variable speed drives has developed a potential investigation field. Finite state model predictive control has recently become a very popular research focus for power electronic converter control. The flexibility of this control shows that the switching times are generated using all the information on the drive status. Predictive Torque Control (PTC), space vector PWM and random PWM are investigated in this paper in terms of acoustic noise emitted by an induction machine fed by a three-phase two-level inverter. A comparative study based on electrical and mechanical magnitudes, as well as harmonic analysis of the stator current, is presented and discussed. An experimental test bench is also developed to examine the effect of the proposed PTC and PWM techniques on the acoustic noise of an induction motor fed by a three-phase two-level voltage source converter. Full article
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24 pages, 6195 KB  
Article
Current Loop Decoupling and Disturbance Rejection for PMSM Based on a Resonant Control Periodic Disturbance Observer
by Jiawei Jin, Liang Guo and Wenqi Lu
Appl. Sci. 2025, 15(17), 9469; https://doi.org/10.3390/app15179469 - 28 Aug 2025
Cited by 1 | Viewed by 1321
Abstract
In the vector control of permanent magnet synchronous motor (PMSM), non-periodic disturbances such as cross-coupling between axes and variations in electrical parameters, along with periodic harmonic disturbances caused by inverter nonlinearities and magnetic field harmonics, influence the dq-axis currents. To address these challenges, [...] Read more.
In the vector control of permanent magnet synchronous motor (PMSM), non-periodic disturbances such as cross-coupling between axes and variations in electrical parameters, along with periodic harmonic disturbances caused by inverter nonlinearities and magnetic field harmonics, influence the dq-axis currents. To address these challenges, this paper proposes a current loop disturbance rejection strategy based on a Resonant Control Periodic Disturbance Observer (RC-PDOB). First, this paper constructs a disturbance observer-based current loop decoupling model that mitigates dq-axis current coupling due to parameter variations and reduces the impact of non-periodic disturbances. Then this paper introduces proportional–resonant terms into the disturbance observer to suppress the 6th and 12th harmonics of the dq-axis, thereby reducing periodic current disturbances. This paper analyzes the disturbance rejection mechanism of RC-PDOB in detail and presents the design methodology and stability criteria of the proposed observer. Finally, experimental results demonstrate the effectiveness of the proposed approach. Full article
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