Preparation and Construction of a Superconducting Electromagnet for Superconducting Magnetic Pump Application

Total Page:16

File Type:pdf, Size:1020Kb

Preparation and Construction of a Superconducting Electromagnet for Superconducting Magnetic Pump Application Preparation and Construction of a Superconducting Electromagnet for Superconducting Magnetic Pump Application by Anna M. Sailor A report submitted in partial fulfillment of the requirements for the degree of Bachelor of Science (Mechanical Engineering) at the University of Wisconsin-Madison December 2016 Abstract Due to the need for compact and efficient refrigeration systems in deep space detectors and telescopes, the development of a pump without moving parts is an important advancement for improving capabilities of sub-Kelvin cooling on unmanned missions. The purpose of this research is to demonstrate a proof-of-concept superconducting magnetic pump (SMP) that will replace traditional bellows-piston driven compressors. In this experiment, a low-temperature facility was designed and built to house the experimental pump. The low-temperature facility was prepared for testing and a new superconducting electromagnet was constructed and is ready for installation, magnet training, and experimental testing. A 16,000-turn, 0.8 Tesla (5 A) electromagnet was built to match its existing counterpart installed in the experiment to demonstrate bi-directional flow through a closed helium line utilizing the magnetocaloric effect and liquid helium as a working fluid. This paper outlines important aspects of the cool-down cycle experimental procedure in addition to summarizing the crucial steps for planning, preparation, and construction of the electromagnet. ii Acknowledgements I would like to extend gratitude to my family, friends, teachers, and mentors that made this research possible. Firstly, thank you to the Department of Mechanical Engineering at the University of Wisconsin-Madison that funded this project through the Faustin Prinz Research Fellowship program; to Professor Lorenz for organizing the program, and to Cathy Shults for assisting with purchasing. Thank you to the employees at the NASA Goddard Space Flight Center with whom I consulted on design and construction of the magnet, particularly Tom Hait. Thank you to Amir Jahromi who answered all my questions and offered his unlimited knowledge. Lastly, I would like to thank Professor Miller who guided me throughout this project and served as an invaluable mentor. iii Table of Contents Introduction ........................................................................................................................... 1! Background ........................................................................................................................... 2! Experimental set-up .............................................................................................................. 7! Experimental low-temperature platform ................................................................... 8! Measurements and Equipment .................................................................................. 11! Experimental procedure ........................................................................................................ 11! Evacuating the experimental loop ............................................................................. 12! Impurities in the helium line ..................................................................................... 13! Cool-down process .................................................................................................... 13! Warming process ...................................................................................................... 14! Filling cycle .............................................................................................................. 15! Experimental Results ............................................................................................................ 15! Preliminary cooling cycles ........................................................................................ 16! Temperature data ...................................................................................................... 17! Magnet construction .............................................................................................................. 17! Magnet Design .......................................................................................................... 19! Procedure .................................................................................................................. 20! Preparation ................................................................................................................ 21! Winding process ........................................................................................................ 23! Future work and conclusions ................................................................................................ 25! Bibliography ......................................................................................................................... 26! iv Introduction With the increased interest in deep space exploration comes the need for improved detectors and measurement systems. The sensitivity of instrumentation relies heavily on the ability to provide cooling capabilities at sub-kelvin temperatures. Measurement devices and detectors must operate in very low temperatures to reduce the noise introduced to the system by heat, allowing for more precise measurements. There are significant limitations to the types of refrigeration systems that can go into space and operate aboard unmanned missions. Intuitively, refrigeration systems need to have a high cooling capacity based on the heat load. In addition, refrigeration systems must be lightweight, reliable, efficient and small enough to meet the weight, volume, and fuel allowances of the mission. These limitations pose challenges to scientists and engineers due to their unique set of requirements. There are a number of different strategies for sub-Kelvin refrigeration, including dilution, superfluid pulse tube, and active magnetic regenerative refrigeration that use piston- bellows compressors to drive the working fluid in the refrigeration process [1]. Superconducting magnetic pumps (SMPs) are a suitable substitution for traditional compressors in these types of applications because of their lack of moving parts and ability to operate continuously by driving flow in both directions during one cycle. The work of the author is built upon the doctoral work conducted by A. Jahromi to demonstrate a proof-of-concept SMP. In the following sections, a brief background section is discussed, the test equipment and experimental procedure are outlined, and results of the preparation of the low-temperature facility are summarized. Following that, the process of preparation and winding of a superconducting electromagnet is explained in detail. 1 Background There are a number of important concepts that are necessary to understand to know how the experiment works and the importance of the procedural methods. These concepts are briefly explained in the section below. Helium as a Working Fluid The unique properties of 3He and 4He at sub-Kelvin temperatures provide a suitable working fluid for cryogenic applications. The more abundant isotope, 4He, is found naturally from radioactive decay of the Earth’s crust. 4He has a boiling point of 4.2 Kelvin at atmospheric pressure, and as a liquid exists in two forms [2]. At higher temperatures, liquefied helium, referred to as He I or “warmer liquid helium”, behaves as a Newtonian fluid. 4He can also exist as a superfluid at temperatures below 2.2 K, where the lambda line defines the transition from normal to superfluid on the phase diagram (see Fig.1). At temperatures below the lambda line, the liquid begins to exhibit superfluid behavior. This change is gradual and as temperature decreases, more helium transitions to He II, or “cooler liquid helium”. At 1 K, 98.7% of the mixture is He II, or superfluid [3]. Due to quantum effects that give superfluid helium strange properties, He II has no measurable resistance to flow, as observed by Kapitza [4]. The mixture below the lambda line that contains both He I and He II exhibits both viscous and inviscid properties due to the presence of both normal liquid helium and superfluid components. The thermal conductivity of superfluid 4He is orders of magnitude higher than the conductivity of copper. This property can be observed when inducing boiling in the liquid. 2 As temperature decreases across the lambda point, boiling immediately stops. That is not to say that heat no longer is escaping, but rather that heat in the liquid travels so quickly that bubbles below the surface do not have enough time to form, even though vaporization still takes place at the surface. Because the superfluid component of 4He has been shown to have no resistance to flow, it can move around the liquid at an unprecedented rate, making it a very good thermal conductor. Fig. 1. Phase diagram of Helium-4. The lambda line marks the transition from He-I to He-II fluid at temperatures below 2.2 K. [3] Superfluid 4He is also unique in that its pressure is only dependent on temperature. Due to this property, a fountain effect can be demonstrated in the following experimental setup: An inner vessel is placed inside a larger vessel, and both are filled with 4He to the 3 same halfway level. Separating the inner and outer vessel on the bottom is a porous superleak plug that only allows the superfluid component to pass through, and an open tube rising above the liquid level from the inner tube. When the inner vessel is heated, temperature and pressure
Recommended publications
  • Applications of High Temperature Superconductors
    FEATURES Applications of high temperature superconductors T.M. Silver, s.x. Dou and J.x. fin Institute for Superconducting and Electronic Materials, University ofWollongong, Wollongong, NSW2522, Australia ost ofus are familiar with the basic idea ofsuperconductivi­ magnetic separators, these losses may account for most of the M ty, thata superconductor can carrya currentindefinitely in a energy consumed in the device. Early prototypes for motors, closed loop, without resistance and with no voltage appearing. In transmission lines and energy storage magnets were developed, a normal metal, such as copper, the free electrons act indepen­ but they were never widely accepted. There were important rea­ dently. They will move under the influence of a voltage to form a sons for this, apart from the tremendous investment in existing current, but are scattered off defects and impurities in the metal. technology. In most superconducting metals andalloys the super­ This scattering results in energy losses and constitutes resistance. conductivity tends to fail in self-generated magnetic fields when In a superconducting metal, such as niobium, resistance does not the current densities through them are increased to practicallev­ occur, because under the right conditions the electrons no longer els. A second problem was the cost and complexity of operating act as individuals, but merge into a collective entity that is too refrigeration equipment near liquid helium temperatures large to 'see' any imperfections. This collective entity, often (4 K, -269°C). Removing one watt of heat generated at 4 K described as a Bose condensate, can be described by a single demands about 1000 W ofrefrigeration power at room tempera­ macroscopic quantum mechanical wave function.
    [Show full text]
  • Hitachi's Leading Superconducting Technologies
    Hitachi’s Leading Superconducting Technologies 290 Hitachi’s Leading Superconducting Technologies Shohei Suzuki OVERVIEW: Over 30 years have passed since Hitachi began researching Ryoichi Shiobara superconductors and superconducting magnets. Its scope of activities now encompasses everything from magnetically levitated vehicles and nuclear Kazutoshi Higashiyama fusion equipment to AC generators. Three big projects that use Hitachi Fumio Suzuki superconductors are currently underway in Japan: the Yamanashi Maglev Test Line, the Large Helical Device (LHD) for nuclear fusion and the 70- MW model of superconducting power generator. Hitachi has played a vital role in these projects with its materials and application technologies. In the field of high-temperature superconducting materials, Hitachi has made a lot of progress and has set a new world record for magnetic fields. INTRODUCTION is cryogenic stability because of the extremely low HITACHI started developing superconducting temperatures, but we have almost solved this problem technology in the late 1950’s. At first, it focused on by developing fine multiple-filament superconductors superconducting magnets for magneto-hydro- and various materials for stabilization matrixes, both dynamics (MHD) power generators, but eventually of which operate at liquid helium temperature (4 K), broadened its research to applications such as as well as superconductor integration technology and magnetically levitated vehicles, nuclear fusion precise winding technology. These new developments equipment, and high energy physics. Recently have led to a number of large projects in Japan. They Hitachi’s activities have spread to the medical field are (1) the world’s largest (70 MW) model super- (magnetic-resonance-imaging technology) and other conducting generator for generating electric power, (2) fields (AC power generators and superconducting the Yamanashi Maglev Test Line train, which may magnetic energy storage).
    [Show full text]
  • Design of a Superconducting DC Wind Generator
    Design of a superconducting DC wind generator zur Erlangung des akademischen Grades eines DOKTOR-INGENIEURS von der Fakultät für Elektrotechnik und Informationstechnik des Karlsruher Instituts für Technologie (KIT) genehmigte DISSERTATION von M. Eng. Yingzhen Liu geb. in: Hebei, China Tag der mündlichen Prüfung: 26. 01. 2018 Hauptreferent: Prof. Dr.-Ing. Mathias Noe Korreferent: Prof. Dr.-Ing. Martin Doppelbauer Acknowledgement This thesis was written at the Institute for Technical Physics at Karlruhe Institute of Technology and it cannot be finished without the help of my colleugues. I would like to thank my supervisor Prof. Dr.-Ing Mathias Noe, who provides me with the opportunity to pursue my PhD in Karlsruhe Institute of Technology. His continuous support, advice and insight have helped me to reach a higher research level. I highly appreciated the constructive feedback and helpful guaidance given by Prof. Noe at a regular meeting evey two to three weeks during my whole PhD period. In order to ensure the scientific quality of my work, Prof. Noe also encourages me to participate in interna- tional conferences, workshops and seminars, which benefit me a lot. My special gratitude goes to my second referee Prof. Dr.-Ing Martin Doppelbauer for his useful lessons, advice and discussions on electric machines, and the excellent and professional environment he offered to study the iron material properties. Specially, I would like to thank Prof. Doppelbauer for his scientific input and linguistic improve- ments, that helped a great deal to finish the final version of this thesis. I would like to thank my external referee Prof. Jean Lévêque for his scientific and practical comments which help me a lot to improve my thesis.
    [Show full text]
  • Demonstration of a Persistent Current in Superfluid Atomic Gas
    Demonstration of a persistent current in superfluid atomic gas One of the most remarkable properties of macroscopic quantum systems is the phenomenon of persistent flow. Current in a loop of superconducting wire will flow essentially forever. In a neutral superfluid, like liquid helium below the lambda point, persistent flow is observed as frictionless circulation in a hollow toroidal container. A Bose-Einstein condensate (BEC) of an atomic gas also exhibits superfluid behavior. While a number of experiments have confirmed superfluidity in an atomic gas BEC, persistent flow, which is regarded as the “gold standard” of superfluidity, had not been observed. The main reason for this is that persistent flow is most easily observed in a topology such as a ring or toroid, while past BEC experiments were primarily performed in spheroidal traps. Using a combination of magnetic and optical fields, we were able to create an atomic BEC in a toriodal trap, with the condensate filling the entire ring. Once the BEC was formed in the toroidal trap, we coherently transferred orbital angular momentum of light to the atoms (using a technique we had previously demonstrated) to get them to circulate in the trap. We observed the flow of atoms to persist for a time more than twenty times what was observed for the atoms confined in a spheroidal trap. The flow was observed to persist even when there was a large (80%) thermal fraction present in the toroidal trap. These experiments open the possibility of investigations of the fundamental role of flow in superfluidity and of realizing the atomic equivalent of superconducting circuits and devices such as SQUIDs.
    [Show full text]
  • Protection of Superconducting Magnet Circuits
    Protection of superconducting magnet circuits M. Marchevsky, Lawrence Berkeley National Laboratory M. Marchevsky – USPAS 2017 Outline 1. From superconductor basics to superconducting accelerator magnets 2. Causes and mechanisms of quenching 3. Quench memory and training 4. Detection and localization of quenches 5. Passive quench protection: how to dump magnet energy 6. Active protection: quench heaters and new methods of protection (CLIQ) 7. Protection of a string of magnets. Hardware examples. 8. References and literature M. Marchevsky – USPAS 2017 Discovery of superconductivity H. K. Onnes, Commun. Phys. Lab.12, 120, (1911) M. Marchevsky – USPAS 2017 A first superconducting magnet Lead wire wound coil Using sections of wire soldered together to form a total length of 1.75 meters, a coil consisting of some 300 windings, each with a cross-section of 1/70 mm2, and insulated from one another with silk, was wound around a glass core. Whereas in a straight tin wire the threshold current was 8 A, in the case of the coil, it was just 1 A. Unfortunately, the disastrous effect of a magnetic field on superconductivity was rapidly revealed. Superconductivity disappeared when field Leiden, 1912 reached 60 mT. H. Kamerlingh Onnes, KNAWProceedings 16 II, (1914), 987. Comm. 139f. Reason: Pb is a “type-I superconductor”, where magnetic destroys superconductivity at once at Bc=803 G. Note: this magnet has reached 74% of its “operational margin” ! M. Marchevsky – USPAS 2017 First type-II superconductor magnet 0.7 T field George Yntema, Univ. of Illinois, 1954 • The first successful type-II superconductor magnet was wound with Nb wire It was also noted that “cold worked” Nb wire yielded better results than the annealed one… But why some superconductors work for magnets and some do not? And what it has to do with the conductor fabrication technique? M.
    [Show full text]
  • Contents 1 Classification of Phase Transitions
    PHY304 - Statistical Mechanics Spring Semester 2021 Dr. Anosh Joseph, IISER Mohali LECTURE 35 Monday, April 5, 2021 (Note: This is an online lecture due to COVID-19 interruption.) Contents 1 Classification of Phase Transitions 1 1.1 Order Parameter . .2 2 Critical Exponents 5 1 Classification of Phase Transitions The physics of phase transitions is a young research field of statistical physics. Let us summarize the knowledge we gained from thermodynamics regarding phases. The Gibbs’ phase rule is F = K + 2 − P; (1) with F denoting the number of intensive variables, K the number of particle species (chemical components), and P the number of phases. Consider a closed pot containing a vapor. With K = 1 we need 3 (= K + 2) extensive variables say, S; V; N for a complete description of the system. One of these say, V determines only size of the system. The intensive properties are completely described by F = 1 + 2 − 1 = 2 (2) intensive variables. For instance, by pressure and temperature. (We could also choose temperature and chemical potential.) The third intensive variable is given by the Gibbs’-Duhem relation X S dT − V dp + Ni dµi = 0: (3) i This relation tells us that the intensive variables PHY304 - Statistical Mechanics Spring Semester 2021 T; p; µ1; ··· ; µK , which are conjugate to the extensive variables S; V; N1; ··· ;NK are not at all independent of each other. In the above relation S; V; N1; ··· ;NK are now functions of the variables T; p; µ1; ··· ; µK , and the Gibbs’-Duhem relation provides the possibility to eliminate one of these variables.
    [Show full text]
  • Superconducting Magnets for Fusion
    Magnets and magnetic materials Superconducting magnets for fusion The ITER's mission is to prove that magnetic confinement fusion will be a candidate source of energy by the second half of the twenty-first century. The tokamak, which is scheduled to begin operations in 2016 at the Cadarache site in the Bouches-du-Rhône, represents a key step in the development of a current-generating fusion reactor. ITER Considerable expertise acquired through its partnership with Euratom on the Tore Supra project has led the CEA to play a central role in the Overview of the magnetic design and development of the three field system equipping the ITER reactor. giant superconducting systems that will generate the intense magnetic fields vital to plasma confinement and stabilisation. he magnetic confinement fusion of thermo- magnetic field system comprises three giant super- Tnuclear plasmas requires intense magnetic fields. conducting systems: the toroidal magnetic field sys- The production of these magnetic fields in the large tem (TF), the poloidal magnetic field system (PF), and vacuum chamber (837 m3) of the ITER International the central solenoid (CS); Focus B, Superconductivity Thermonuclear Experimental Reactor, currently being and superconductors, p. 16. It could be said to repre- built at the Cadarache site in the Bouches-du-Rhône sent the backbone of the tokamak (Figure 1). is in itself a major technological challenge. The ITER's Superconductivity for fusion applications Up to the early 1980s, all magnetic confinement machines relied on resistive magnets, which were CS system generally built using silver-doped copper in order to TF system improve their mechanical properties.
    [Show full text]
  • Superconducting Magnets for Accelerators Lecture
    Superconductivity for accelerators - why bother? Abolish Ohm's Law • no power consumption (although do need refrigeration power) • high current density compact windings, high gradients • ampere turns are cheap, so don’t need iron (although often use it for shielding) Consequences • lower power bills • higher magnetic fields mean reduced bend radius smaller rings reduced capital cost new technical possibilities (eg muon collider) • higher quadrupole gradients higher luminosity Martin Wilson Lecture 1 slide 1 JUAS February 2013 Plan of the Lectures 1 Introduction to Superconductors 4 Quenching and Cryogenics • critical field, temperature & current • the quench process • superconductors for magnets • resistance growth, current decay, temperature rise • manufacture of superconducting wires • quench protection schemes • high temperature superconductors HTS • cryogenic fluids, refrigeration, cryostat design 2 Magnetization, Cables & AC losses 5 Practical Matters • superconductors in changing fields • filamentary superconductors and magnetization • LHC quench protection • coupling between filaments magnetization • current leads • why cables, coupling in cables • accelerator magnet manufacture • AC losses in changing fields • some superconducting accelerators 3 Magnets, ‘Training’ & Fine Filaments Tutorial 1: Fine Filaments • coil shapes for solenoids, dipoles & quadrupoles • how filament size affects magnetization • engineering current density & load lines Tutorial 2: Quenching • degradation & training minimum quench energy • current decay
    [Show full text]
  • Phase Transition a Phase Transition Is the Alteration in State of Matter Among the Four Basic Recognized Aggregative States:Solid, Liquid, Gaseous and Plasma
    Phase transition A phase transition is the alteration in state of matter among the four basic recognized aggregative states:solid, liquid, gaseous and plasma. In some cases two or more states of matter can co-exist in equilibrium under a given set of temperature and pressure conditions, as well as external force fields (electromagnetic, gravitational, acoustic). Introduction Matter is known four aggregative states: solid, liquid, and gaseous and plasma, which are sharply different in their properties and characteristics. Physicists have agreed to refer to a both physically and chemically homogeneous finite body as a phase. Or, using Gybbs’s definition, one can call a homogeneous part of heterogeneous system: a phase. The reason behind the existence of different phases lies in the balance between the kinetic (heat) energy of the molecules and their energy of interaction. Simplified, the mechanism of phase transitions can be described as follows. When heating a solid body, the kinetic energy of the molecules grows, distance between them increases, and in accordance with the Coulomb law the interaction between them weakens. When the temperature reaches a certain point for the given substance (mineral, mixture, or system) critical value, melting takes place. A new phase, liquid, is formed, and a phase transition takes place. When further heating the liquid thus formed to the next critical temperature the liquid (melt) changes to gas; and so on. All said phase transitions are reversible; that is, with the temperature being lowered, the system would repeat the complete transition from one state to another in reverse order. The important thing is the possibility of co- existence of phases and their reciprocal transition at any temperature.
    [Show full text]
  • Mechanical Design and Construction of Superconducting E-Lens Solenoid Magnet System for RHIC Head-On Beam-Beam Compensation
    1PoCB-08 1 Mechanical Design and Construction of Superconducting e-Lens Solenoid Magnet System for RHIC Head-on Beam-Beam Compensation M. Anerella, W. Fischer, R. Gupta, A. Jain, P. Joshi, P. Kovach, A. Marone, A. Pikin, S. Plate, J. Tuozzolo, P. Wanderer Abstract —Each 2.6-meter long superconducting e-Lens magnet assembly consists of a main solenoid coil and corrector coils mounted concentric to the axis of the solenoid. Fringe field and “anti-fringe field” solenoid coils are also mounted coaxially at each end of the main solenoid. Due to the high magnetic field of 6T large interactive forces are generated in the assembly between and within the various magnetic elements. The central field uniformity requirement of ± 0.50% and the strict field straightness requirement of ± 50 microns over 2.1 meters of length provide additional challenges. The coil construction details to meet the design requirements are presented and discussed. The e-Lens coil assemblies are installed in a pressure vessel cooled to 4.5K in a liquid helium bath. The design of the magnet adequately cools the superconducting coils and the power leads using the available cryogens supplied in the RHIC tunnel. The mechanical design of the magnet structure including thermal considerations is also presented. Index Terms —Accelerator, electron lens, solenoids, superconducting magnets. Fig. 1. Longitudinal section view of e-Lens solenoid II. MAIN SOLENOID DESIGN I. INTRODUCTION The main solenoid design is comprised of eleven “double To increase the polarized proton luminosity in RHIC, a layers” of rectangular monolithic conductor, 1.78 mm wide superconducting electron lens (e-Lens) magnet system is being and 1.14 mm tall, with a 3:1 copper to superconductor ratio.
    [Show full text]
  • ABSTRACT for CWS 2002, Chemogolovka, Russia Ulf Israelsson
    ABSTRACT for CWS 2002, Chemogolovka, Russia Ulf Israelsson Use of the International Space Station for Fundamental Physics Research Ulf E. Israelsson"-and Mark C. Leeb "Jet Propulsion Laboratory, 4800 Oak Grove Drive, Pasadena, CA 9 1 109, USA bNational Aeronautics and Space Administration, Code UG, Washington D.C., USA NASA's research plans aboard the International Space Station (ISS) are discussed. Experiments in low temperature physics and atomic physics are planned to commence in late 2005. Experiments in gravitational physics are planned to begin in 2007. A low temperature microgravity physics facility is under development for the low temperature and gravitation experiments. The facility provides a 2 K environment for two instruments and an operational lifetime of 4.5 months. Each instrument will be capable of accomplishing a primary investigation and one or more guest investigations. Experiments on the first flight will study non-equilibrium phenomena near the superfluid 4He transition and measure scaling parameters near the 3He critical point. Experiments on the second flight will investigate boundary effects near the superfluid 4He transition and perform a red-shift test of Einstein's theory of general relativity. Follow-on flights of the facility will occur at 16 to 22-month intervals. The first couple of atomic physics experiments will take advantage of the free-fall environment to operate laser cooled atomic fountain clocks with 10 to 100 times better performance than any Earth based clock. These clocks will be used for experimental studies in General and Special Relativity. Flight defiiiiiiori experirneni siudies are underway by investigators studying Bose Einstein Condensates and use of atom interferometers as potential future flight candidates.
    [Show full text]
  • Superconductors: the Next Generation of Permanent Magnets
    1 Superconductors: The Next Generation of Permanent Magnets T. A. Coombs, Z. Hong, Y. Yan, C. D. Rawlings fault current limiters, bearings and motors. Both fault current Abstract—Magnets made from bulk YBCO are as small and as limiters and bearings are enabling technologies and a great compact as the rare earth magnets but potentially have magnetic deal of successful research has been devoted to these areas[4- flux densities orders of magnitude greater than those of the rare 8]. With motors, though, we are seeking to supplant an earths. In this paper a simple technique is proposed for existing and mature technology. Therefore the advantages of magnetising the superconductors. This technique involves repeatedly applying a small magnetic field which gets trapped in superconductors have to be clearly defined before the superconductor and thus builds up and up. Thus a very small superconducting motors can become widely accepted. magnetic field such as one available from a rare earth magnet The principle advantages of a superconducting motor or can be used to create a very large magnetic field. This technique generator are size, weight and efficiency. Which of these is which is applied using no moving parts is implemented by the most important depends on the application. In a wind generating a travelling magnetic wave which moves across the turbine for example power to weight ratio is paramount. Any superconductor. As it travels across the superconductor it trails flux lines behind it which get caught inside the superconductor. weight in the nacelle has to be supported and considerable With each successive wave more flux lines get caught and the savings can be made if the machine is lighter especially if it field builds up and up.
    [Show full text]