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Библиографические подробности
Главный автор: Singh Khalsa, Sardar Dilbag
Формат: Recurso digital
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Опубликовано: Zenodo 2026
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Online-ссылка:https://doi.org/10.5281/zenodo.18865307
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  • <p>\abstract{\begin{Data}</p> <p>\section*{Field of the Invention}</p> <p>\section{Field of the Invention}</p> <p>The present invention relates generally to advanced railway transportation systems employing electromagnetic and superconducting technologies for frictionless high-speed transit. More specifically, the invention pertains to a railway system utilizing superconducting flux–pinning levitation (commonly referred to as quantum levitation) combined with engineered magnetic guideway structures, adaptive electromagnetic control, and linear electric propulsion mechanisms.</p> <p>The invention lies at the intersection of the fields of:</p> <p>\begin{itemize}<br>\item superconductivity and condensed matter physics,<br>\item magnetic levitation transportation,<br>\item electromagnetic propulsion systems,<br>\item cryogenic engineering, and<br>\item intelligent control of distributed electromechanical infrastructure.<br>\end{itemize}</p> <p>In particular, the invention concerns transportation systems in which a superconducting body interacts with a structured magnetic field to generate stable levitation through magnetic flux pinning. When a superconducting material is cooled below its critical temperature $T_c$, it enters a superconducting phase characterized by zero electrical resistance and the expulsion or trapping of magnetic flux lines according to the Meissner effect and flux-pinning phenomena.</p> <p>The electromagnetic interaction between the magnetic field and induced currents within the superconducting material produces levitation forces that can be described by the Lorentz force law:</p> <p>\begin{equation}<br>\mathbf{F} = q(\mathbf{E} + \mathbf{v} \times \mathbf{B})<br>\end{equation}</p> <p>where $q$ represents electric charge, $\mathbf{E}$ the electric field, $\mathbf{v}$ the velocity of the charge carrier, and $\mathbf{B}$ the magnetic flux density.</p> <p>For macroscopic superconducting levitation systems, the resulting magnetic force density acting on a current distribution is expressed as</p> <p>\begin{equation}<br>\mathbf{f} = \mathbf{J} \times \mathbf{B}<br>\end{equation}</p> <p>where $\mathbf{J}$ is the current density induced within the superconducting material.</p> <p>The magnetic field distribution generated by the guideway magnets satisfies Maxwell's equations, including</p> <p>\begin{equation}<br>\nabla \cdot \mathbf{B} = 0<br>\end{equation}</p> <p>\begin{equation}<br>\nabla \times \mathbf{B} = \mu_0 \mathbf{J}<br>\end{equation}</p> <p>where $\mu_0$ is the permeability of free space.</p> <p>The levitation force generated between a superconducting element and the guideway magnetic field can be approximated as</p> <p>\begin{equation}<br>F_L \approx \frac{B^2 A}{2\mu_0}<br>\end{equation}</p> <p>where $B$ represents the magnetic field strength at the levitation interface and $A$ represents the effective interaction area.</p> <p>The stability of the levitated vehicle is achieved through flux pinning, wherein quantized magnetic flux lines remain locked within defects of the superconducting lattice. The quantization of magnetic flux is given by</p> <p>\begin{equation}<br>\Phi = n \Phi_0<br>\end{equation}</p> <p>where $n$ is an integer and $\Phi_0$ is the magnetic flux quantum defined as</p> <p>\begin{equation}<br>\Phi_0 = \frac{h}{2e}<br>\end{equation}</p> <p>with $h$ representing Planck's constant and $e$ the elementary charge.</p> <p>In addition to levitation, propulsion within the system may be generated using linear synchronous motor (LSM) or linear induction motor (LIM) architectures embedded within the guideway. The electromagnetic thrust force produced by such propulsion systems can be expressed as</p> <p>\begin{equation}<br>F_T = BIL<br>\end{equation}</p> <p>where $B$ represents the magnetic field strength, $I$ the current in the propulsion coil, and $L$ the effective conductor length within the magnetic field.</p> <p>The present invention therefore relates to transportation systems that integrate superconducting flux-pinning levitation, engineered magnetic field landscapes, and linear electromagnetic propulsion to achieve stable, high-speed, and energy-efficient railway transport.</p> <p>\section{Quantum Mechanical and Electromagnetic Foundations}</p> <p>The levitation system of the railway vehicle is based on superconducting flux pinning and electromagnetic interaction between the superconducting modules and the magnetic guideway.</p> <p>When the superconducting material is cooled below the critical temperature $T_c$, the superconducting state is achieved, described by the London equations.</p> <p>\subsection{London Equations}</p> <p>\begin{equation}<br>\nabla \times \mathbf{J_s} = -\frac{n_s e^2}{m}\mathbf{B}<br>\end{equation}</p> <p>\begin{equation}<br>\frac{\partial \mathbf{J_s}}{\partial t} = \frac{n_s e^2}{m}\mathbf{E}<br>\end{equation}</p> <p>where</p> <p>\begin{itemize}<br>\item $\mathbf{J_s}$ is the superconducting current density<br>\item $n_s$ is the density of superconducting carriers<br>\item $e$ is the elementary charge<br>\item $m$ is the electron mass<br>\end{itemize}</p> <p>\subsection{Flux Quantization}</p> <p>Magnetic flux in a superconducting loop is quantized according to</p> <p>\begin{equation}<br>\Phi = n\Phi_0<br>\end{equation}</p> <p>where</p> <p>\begin{equation}<br>\Phi_0 = \frac{h}{2e}<br>\end{equation}</p> <p>is the magnetic flux quantum.</p> <p>\subsection{Levitation Force}</p> <p>The magnetic levitation force between the guideway magnetic field and the superconducting module can be approximated as</p> <p>\begin{equation}<br>F_L = \frac{B^2 A}{2\mu_0}<br>\end{equation}</p> <p>where</p> <p>\begin{itemize}<br>\item $B$ is magnetic field strength<br>\item $A$ is effective interaction area<br>\item $\mu_0$ is permeability of free space<br>\end{itemize}</p> <p>\section{Electromagnetic Propulsion}</p> <p>Linear propulsion is achieved using linear synchronous motor systems embedded in the guideway.</p> <p>The electromagnetic thrust force is</p> <p>\begin{equation}<br>F_T = BIL<br>\end{equation}</p> <p>where</p> <p>\begin{itemize}<br>\item $B$ magnetic field strength<br>\item $I$ current in propulsion coils<br>\item $L$ effective conductor length<br>\end{itemize}</p> <p>Vehicle acceleration follows Newton's second law</p> <p>\begin{equation}<br>F_T = ma<br>\end{equation}</p> <p>\section{Hydrodynamic Braking System}</p> <p>A hydrobrake system may utilize viscous drag generated by fluid channels within braking modules.</p> <p>The drag force is given by</p> <p>\begin{equation}<br>F_d = \frac{1}{2}\rho C_d A v^2<br>\end{equation}</p> <p>where</p> <p>\begin{itemize}<br>\item $\rho$ is fluid density<br>\item $C_d$ is drag coefficient<br>\item $A$ is cross sectional area<br>\item $v$ is velocity<br>\end{itemize}</p> <p>Energy dissipation in the hydraulic braking fluid is</p> <p>\begin{equation}<br>P = F_d v<br>\end{equation}</p> <p>\section{Regenerative Electromagnetic Braking}</p> <p>During braking, the linear motor can operate in generator mode.</p> <p>The induced electromotive force is</p> <p>\begin{equation}<br>\mathcal{E} = -\frac{d\Phi}{dt}<br>\end{equation}</p> <p>Electrical power returned to the grid is</p> <p>\begin{equation}<br>P = VI<br>\end{equation}</p> <p>\section{Eddy Current Braking}</p> <p>Eddy current braking occurs when conductive plates move through a magnetic field.</p> <p>The braking force is approximated as</p> <p>\begin{equation}<br>F_e = \frac{B^2 l^2 v}{R}<br>\end{equation}</p> <p>where</p> <p>\begin{itemize}<br>\item $l$ effective conductor length<br>\item $R$ electrical resistance<br>\end{itemize}</p> <p>\section{Aerodynamic Braking}</p> <p>At very high speeds aerodynamic braking panels may deploy.</p> <p>The aerodynamic braking force is</p> <p>\begin{equation}<br>F_a = \frac{1}{2} \rho C_d A v^2<br>\end{equation}</p> <p>\section{Vehicle Dynamics}</p> <p>The total braking force acting on the train is</p> <p>\begin{equation}<br>F_{total} = F_d + F_e + F_a + F_{regen}<br>\end{equation}</p> <p>Deceleration is</p> <p>\begin{equation}<br>a = \frac{F_{total}}{m}<br>\end{equation}</p> <p>Stopping distance is</p> <p>\begin{equation}<br>d = \frac{v^2}{2a}<br>\end{equation}</p> <p><br>\begin{figure}[h]<br>\centering<br>\includegraphics[width=0.8\textwidth]{1.png}<br>\caption{Quantum levitation railway vehicle with superconducting bogies and magnetic guideway infrastructure.}<br>\label{fig:quantum_train}<br>\end{figure}</p> <p>\begin{figure}[h]<br>\centering<br>\includegraphics[width=0.8\textwidth]{2.png}<br>\caption{Quantum levitation railway vehicle with superconducting bogies and magnetic guideway infrastructure.}<br>\label{fig:quantum_train}<br>\end{figure}</p> <p>\section{Claims}</p> <p>Claim 1. A quantum levitation railway system comprising a magnetic guideway and a vehicle including superconducting levitation modules configured to interact with magnetic fields to produce levitation.</p> <p>Claim 2. The system of Claim 1 wherein the superconducting modules operate below a critical temperature enabling flux pinning.</p> <p>Claim 3. The system of Claim 1 wherein the guideway comprises Halbach magnet arrays configured to generate asymmetric magnetic fields.</p> <p>Claim 4. The system of Claim 1 further comprising a linear propulsion system configured to propel the vehicle along the guideway.</p> <p>Claim 5. The system of Claim 4 wherein the propulsion system comprises a linear synchronous motor.</p> <p>Claim 6. The system of Claim 4 wherein the propulsion system comprises a linear induction motor.</p> <p>Claim 7. The system of Claim 1 further comprising cryogenic cooling modules configured to maintain superconducting temperature.</p> <p>Claim 8. The system of Claim 1 further comprising magnetic field control electronics.</p> <p>Claim 9. The system of Claim 1 further comprising adaptive electromagnetic coils embedded within the guideway.</p> <p>Claim 10. The system of Claim 1 further comprising flux pinning stabilization of the levitated vehicle.</p> <p>Claim 11. The system of Claim 1 wherein levitation force follows the relation $F_L = \frac{B^2 A}{2\mu_0}$.</p> <p>Claim 12. The system of Claim 1 further comprising eddy current braking modules.</p> <p>Claim 13. The system of Claim 1 further comprising hydrodynamic braking modules.</p> <p>Claim 14. The system of Claim 1 further comprising aerodynamic braking surfaces.</p> <p>Claim 15. The system of Claim 1 further comprising regenerative braking through linear propulsion coils.</p> <p>Claim 16. The system of Claim 1 further comprising onboard energy storage units.</p> <p>Claim 17. The system of Claim 1 further comprising superconducting tile arrays arranged in levitation bogies.</p> <p>Claim 18. The system of Claim 1 further comprising cryostat chambers for superconducting modules.</p> <p>Claim 19. The system of Claim 1 further comprising superconducting current loops.</p> <p>Claim 20. The system of Claim 1 further comprising thermal insulation layers surrounding cryogenic systems.</p> <p>Claim 21. The system of Claim 1 further comprising magnetic shielding for passenger compartments.</p> <p>Claim 22. The system of Claim 1 further comprising sensor arrays monitoring magnetic field intensity.</p> <p>Claim 23. The system of Claim 1 further comprising vibration damping mechanisms.</p> <p>Claim 24. The system of Claim 1 further comprising vehicle stabilization control systems.</p> <p>Claim 25. The system of Claim 1 further comprising guideway switching sections for route divergence.</p> <p>Claim 26. The system of Claim 1 further comprising adaptive magnetic field gradients along the track.</p> <p>Claim 27. The system of Claim 1 further comprising superconducting fault detection modules.</p> <p>Claim 28. The system of Claim 1 further comprising quench protection circuits.</p> <p>Claim 29. The system of Claim 1 further comprising distributed track power electronics.</p> <p>Claim 30. The system of Claim 1 further comprising dynamic energy recovery systems.</p> <p>Claim 31. The system of Claim 1 further comprising aerodynamic drag reduction body structures.</p> <p>Claim 32. The system of Claim 1 further comprising vehicle position sensors.</p> <p>Claim 33. The system of Claim 1 further comprising velocity monitoring modules.</p> <p>Claim 34. The system of Claim 1 further comprising predictive braking algorithms.</p> <p>Claim 35. The system of Claim 1 further comprising automatic emergency braking.</p> <p>Claim 36. The system of Claim 1 further comprising retractable touchdown wheels.</p> <p>Claim 37. The system of Claim 1 further comprising structural health monitoring sensors.</p> <p>Claim 38. The system of Claim 1 further comprising cryogenic temperature monitoring systems.</p> <p>Claim 39. The system of Claim 1 further comprising adaptive field damping control.</p> <p>Claim 40. The system of Claim 1 further comprising track vibration monitoring modules.</p> <p>Claim 41. The system of Claim 1 further comprising distributed control nodes along the guideway.</p> <p>Claim 42. The system of Claim 1 further comprising autonomous train control algorithms.</p> <p>Claim 43. The system of Claim 1 further comprising satellite-based navigation integration.</p> <p>Claim 44. The system of Claim 1 further comprising electromagnetic interference shielding.</p> <p>Claim 45. The system of Claim 1 further comprising superconducting energy storage modules.</p> <p>Claim 46. The system of Claim 1 further comprising multi-layer magnetic flux guidance systems.</p> <p>Claim 47. The system of Claim 1 further comprising intelligent traffic management software.</p> <p>Claim 48. The system of Claim 1 further comprising high-speed communication networks between vehicles.</p> <p>Claim 49. The system of Claim 1 further comprising predictive infrastructure maintenance systems.</p> <p>Claim 50. The system of Claim 1 further comprising integrated levitation stabilization and propulsion subsystems.</p> <p> </p> <p> </p> <p><br>\end{document}</p>