Generating electricity by earth magnetic field
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Generating Electricity By Earth Magnetic FieldSubmitted By Group-5
Nahian, Ahnaf Tahmid 12-20178-1Ananta, Mahmud Hossain 12-20415-1Mozumder, Turza Dhiman 12-21132-1Course Instructor- RETHWAN FAIZ
Magnetic BasicsMagnets always have two poles: a north pole and a south pole.North and South are always attracted.Two similar poles will repel one another.
Earth as a MagnetThe Earth is like a giant bar magnetit has a north magnetic pole and a south magnetic pole.These are different than the geographic north and south poles.The magnetic poles move a little (10 km) each year.
In 1600, William Gilbert publishedDe MagnEarth Magnetic field is also known as Geomagnetic ete, which showed that the Earth itself is like a giant magnet, rather than the magnetism arising from an extraterrestrial source as supposed by others since 1939, the geomagnetic field has been believed to originate by convective motions in the Earths fluid, electrically-conducting core. The idea is that the convective fluid interacts with the Coriolis forces produced by planetary rotation and acts like a dynamo which is a magnetic amplifier Earth Magnetism
Why is Earth Magnetic?
Earths core is iron, a magnetic material Earths outer core is liquid iron. When this liquid iron circulates around the core, a magnetic field is developed. This is known as the Dynamo Theory
What Benefit is a Magnetic Field? The Earths magnetic field protects us from the suns charged particles.The magnetic field acts like a force fieldwithout it, our atmosphere would be ripped off.And we can produce electricity by magnetic field
NasaNasa can take electricity from Earths magnetic field. The technology is called electrodynamic tethers(EDT). This energy is electricity created by a long conductor moving in orbit through the planets geomagnetic field. It is a proven fact that free electricity can be made from this technology.
Electrodynamic tethers (EDTs)are long conductingwires, such as one deployed from atether satellite, which can operate onelectromagneticprinciples asgenerators, by converting theirkinetic energy to electrical energy, or asmotors, converting electrical energy to kinetic energy.Electric potentialis generated across a conductive tether by its motion through a planet's magnetic field.
Fig: Medium close-up view, captured with a 70mm camera, showstethered satellite systemdeployment
Electrodynamic tether fundamentals
An electromotive force (EMF) is generated across a tether element as it moves relative to a magnetic field. The force is given byFaraday's Law of Induction:
Without loss of generality, it is assumed the tether system is inEarth orbitand it moves relative to Earth's magnetic field. Similarly, if current flows in the tether element, a force can be generated in accordance with the Lorentz force equation:
In self-powered mode (deorbitmode), this EMF can be used by the tether system to drive the current through the tether and other electrical loads (e.g. resistors, batteries), emit electrons at the emitting end, or collect electrons at the opposite.
In boost mode, on-board power supplies must overcome this motional EMF to drive current in the opposite direction, thus creating a force in the opposite direction, as seen in below figure, and boosting the system.Fig:Illustration of the EDT conceptEDT concept
the NASA Propulsive Small Expendable Deployer System (ProSEDS) mission as seen in above figure.At 300km altitude, the Earth's magnetic field, in the north-south direction
Here, the ProSEDS de-boost tether system is configured to enable electron collection to the positively biased higher altitude section of the bare tether, and returned to the ionosphere at the lower altitude end. This flow of electrons through the length of the tether in the presence of the Earth's magnetic field creates a force that produces a drag thrust that helps de-orbit the system.
Fig:Illustration of the EDT concept
The top of the diagram, pointA, represents the electron collection end. PointC, is the electron emission end. Similarly,andrepresent the potential difference from their respective tether ends to the plasma. Finally, pointBis the point at which the potential of the tether is equal to the plasma. The location of pointBwill vary depending on the equilibrium state of the tether, which is determined by the solution ofKirchhoff's current law(KVL)
andKirchhoff's voltage law (KCL)
Tethers as generators
A space object, i.e. a satellite in Earth orbit, or any other space object either natural or man made, is physically connected to the tether system. The tether system comprises a deployer from which a conductive tether having a bare segment extends upward from space object. The positively biased anode end of tether collects electrons from the ionosphere as space object moves in direction across the Earth's magnetic field. These electrons flow through the conductive structure of the tether to the power system interface, where it supplies power to an associated load, not shown. The electrons then flow to the negatively biased cathode where electrons are ejected into the space plasma, thus completing the electric circuit.
NASA has conducted several experiments with Plasma Motor Generator (PMG) tethers in space. An early experiment used a 500-meter conducting tether. In 1996, NASA conducted an experiment with a 20,000-meter conducting tether. When the tether was fully deployed during this test, the orbiting tether generated a potential of 3,500 volts.
This conducting single-line tether was severed after five hours of deployment. It is believed that the failure was caused by an electric arc generated by the conductive tether's movement through the Earth's magnetic field.
When a tether is moved at a velocity (v) at right angles to the Earth's magnetic field (B), an electric field is observed in the tether's frame of reference. This can be stated as:E=v*B=vBThe direction of the electric field (E) is at right angles to both the tether's velocity (v) and magnetic field (B). If the tether is a conductor, then the electric field leads to the displacement of charges along the tether. Note that the velocity used in this equation is the orbital velocity of the tether. The rate of rotation of the Earth, or of its core, is not relevant.
Voltage and current
Voltage across conductor
With a long conducting wire of lengthL, an electric fieldEis generated in the wire. It produces a voltageVbetween the opposite ends of the wire. This can be expressed as:
where the angle is between the length vector (L) of the tether and the electric field vector (E), assumed to be in the vertical direction at right angles to the velocity vector (v) in plane and the magnetic field vector (B) is out of the plane.
The amount of current (I) flowing through a tether depends on various factors. One of these is the circuit's total resistance (R). The circuit's resistance consist of three components:
1. the effective resistance of the plasma,2. the resistance of the tether, and3. A control variable resistor.
1.The Operational advantages of electrodynamic tethers of moderate length are becoming evident from studies of collision avoidance
2.High efficiency and good adaptability to varying plasma conditions .
3.Substantially reduce the weight of the spacecraft.
4. A cost effective method of reboosting spacecraft, such as the International Space Station(ISS)
1. NASA,Tethers In Space Handbook, edited by M.L. Cosmo and E.C. Lorenzini, Third Edition December 1997
2. Johnson, L., Estes, R.D., Lorenzini, E.C., "Propulsive Small Expendable Deployer System Experiment," Journal of Spacecraft and Rockets, Vol. 37, No. 2, 2000, pp.173176
3. Tether power generator for earth orbiting satellites. Thomas G. Roberts et al.
4. Lieberman, M.A., and Lichtenberg, A.J., "Principles of Plasma Discharges and Materials Processing," Wiley-Interscience, Hoboken, NJ, 2005, pp.757.
5. Fuhrhop, K.R.P., Theory and Experimental Evaluation of Electrodynamic Tether Systems and Related Technologies,University of Michigan PhD Dissertation, 2007, pp. 1-307.