Renormalization of the energies stored around a Wiener–Hopf structure: I

1991 ◽  
Vol 69 (7) ◽  
pp. 875-890 ◽  
Author(s):  
George Mitsioulis

A programme of renormalization of the electromagnetic energy stored around a structure admitting a solution through the Wiener–Hopf technique is proposed. The infinites of the stored magnetic energy also appear in the stored electric energy and they are suppressed freely. There are divergencies due to spatial integrations that prove to be completely renormalizable. Moreover the Wiener–Hopf procedure for the solution of the radiation from the semi-infinite parallel-plate duct gives rise to two other kinds of divergencies. First, the form of the spectrum eigenfunction causes a contribution to the stored energies from the wave-number visible region where the eigenfunction is "peaked" at certain points. Second, the squared spectrum eigenfunctions have a nonsummable singularity at the lower boundary of the visible region. The renormalizability of the formulae of the energies in both of these cases is proved.

A transmission line (TL) is simply a medium that is capable of guiding or propagating electromagnetic energy. The transmission line stores the electric (E) and magnetic (M) energies and distributes them in space by alternating them between the two forms. This means that at any point along a TL, energy is stored in a mixture of E and M forms and, for an alternating signal at any point on the TL, converted from one form to the other as time progresses. Transmission line is usually modelled using lumped elements (i.e., inductors for magnetic energy, capacitors for electric energy, and resistors for modelling losses). The electrical characteristics of a TL such as the propagation constant, the attenuation constant, the characteristic impedance, and the distributed circuit parameters can only be determined from the knowledge of the fields surrounding the transmission line. This chapter gives a brief overview of various transmission lines, with more detailed discussions on the microstrip and the SIW.


2015 ◽  
Vol 77 (21) ◽  
Author(s):  
Jazli Firdaus Jamil ◽  
Mohd Azman Abdullah ◽  
Norreffendy Tamaldin ◽  
Ahmed Esmael Mohan

The world is demanding for alternative way of energy consumption for vehicle usage. The energy efficient vehicle (EEV) is one of the advancement for future land transportation that known as hybrid and electric vehicles nowadays. The vehicles use different energy other than fuel which is electric energy. This paper emphasizes the development of electromagnetic energy regenerative suspension system (EReSS) as a system that harvests energy from the vibration of vehicle suspension system. The harvested energy is converted to electrical energy for vehicle usage. A prototype of electromagnetic EReSS is fabricated and laboratory experimentation on test rig is conducted to test the voltage output. It is observed that the EReSS can harvest the wasted energy from the vibration and produce sufficient electric energy for the vehicle electrical and electronic usage. The number of windings of the coil and diameter of the coil affect the voltage output of the EReSS. The voltage output of the EReSS can be optimized by setting up the parameters. As the EReSS is proven to harvest energy, it can be used on hybrid and electric vehicle to improve the efficiency of the vehicle and reduce the fuel consumption.


Micromachines ◽  
2021 ◽  
Vol 12 (11) ◽  
pp. 1397
Author(s):  
Zhuan Bai ◽  
Zonghe Zhang ◽  
Ju Wang ◽  
Xiaoqing Sun ◽  
Wei Hu

Giant magnetostrictive transducer with micro and nano precision has a wide application prospect in the field of remote sensing. However, excessive heat loss of components could generate during the energy conversion and transfer from electric energy to magnetic energy, and magnetic energy to mechanical energy, thereby affecting its long-term service and also reducing energy utilization. In this paper, a new magnetostrictive transducer is proposed and its excitation coil, internal and external magnetic circuit are optimized from the perspective of reducing heat loss. With the help of theoretical and finite element analysis, the response law between key parameters and heat loss of key components are summarized, which provides a basis for reducing heat loss. Finally, according to the optimization scheme, the prototype is processed, and the temperature rise and dynamic output performance of the transducer are tested by constructing an experimental setup. The results show that the transducer has a low temperature rise and good frequency response characteristics, which can provide support for long-time precise actuation on-orbit.


A formula is derived for the frequency derivative of the input reactance of any linear, passive, time-invariant electromagnetic system. It consists of five terms, each of which is identifiable uniquely with one of the following five physical attributes of the system: time-average stored magnetic energy, time-average stored electric energy, radiation, dispersion by the medium, and dissipation by the medium.


2016 ◽  
Vol 23 (9) ◽  
pp. 1417-1436 ◽  
Author(s):  
Abhishek Kumar Singh ◽  
Anirban Lakshman ◽  
Amares Chattopadhyay

These days fibre-reinforced materials are frequently used in construction sector for example in dams, bridges etc. Also the earth structure and artificial structure made by human may contain irregularity or corrugation, therefore, propagation of waves and vibrations through these structures gets affected by them. Motivated by these facts the present problem aims to study the propagation of torsional surface wave in a fibre-reinforced layer with corrugated boundary surface overlying an initially stressed transversely isotropic half-space. The closed form of the dispersion equation has been deduced and the notable effect of reinforcement, undulatory parameter of corrugated boundary surfaces of the layer, corrugation parameter of upper and lower boundary surfaces of the layer, initial stress acting in half-space and wave number on the phase velocity of torsional surface wave has been exhibited. The numerical computation along with graphical illustration has been carried out for fibre-reinforced layer of carbon fibre-epoxy resin and T300/5208 graphite/epoxy material for the transversely isotropic half-space. As a special case of the problem, deduced dispersion equation is found in well-agreement with the classical Love wave equation. Comparative study for reinforced and reinforced free layer has been performed and also depicted graphically. Moreover some analysis is made to highlight the important peculiarities of the problem.


1991 ◽  
Vol 113 (2) ◽  
pp. 363-370 ◽  
Author(s):  
F. S. Lee ◽  
G. J. Hwang

A transient analysis on the onset of thermal instability in the thermal entrance region of a horizontal parallel plate channel, where the lower plate is heated isothermally, is presented. A novel time-dependent approach based on a three-dimensional linear stability theory is developed to determine the neutral stability position, where a disturbance neither grows nor decays with time. The range of parameters Pe=30, 40, 60, 80, and 100, and Pr=0.2, 0.7, 1.0, and 7.0 are covered in the study. One finds that increasing Prandtl number has a destabilizing effect on the flow for a fixed Peclet number along the streamwise direction. On the other hand, increasing Peclet number or Reynolds number tends to stabilize the flow. As the onset of thermal instability moves upstream, the critical Rayleigh number and the critical wave number are increased. The result shows a good agreement with the previous experimental investigations.


1867 ◽  
Vol 15 ◽  
pp. 408-413 ◽  

The writer has clearly shown the interchange of thermic and dynamic energy at the point of junction of the bars of a thermo-electric element of antimony and bismuth, and he has also pointed out that the dynamic nature of electric energy is not less clearly indicated by the long-known fact that an ordinary voltaic current always commences with a rush, as it were, the instant that the circuit is closed. The dynamic cause of this is clearly pointed out by an experiment due to the genius of Prof. Wheatstone. If a tuning-fork, the tail of which is inserted longitudinally into a wooden handle, like a file or chisel, be made to vibrate, and the end of the handle rested obliquely on a table, the resonance of the table will instantly be heard; but on moving the diapason parallel to itself in any election on the table, the resonance ceases, from the perpetual interference of the successive planes of vibration with each other. But now comes the illustration:—On arresting the motion of translation, the resonance immediately recommences, but with a rush or momentary increase of sound: this must unquestionably arise from the resistance offered by the inertia of the molecules of wood to the recommencement of wave-motion; and the parallel phenomenon in electricity may undoubtedly be similarly accounted for. And the reflex momentary current (the terminal extra-current of Faraday), which is well known to take place at the instant of opening the circuit, is equally susceptible of a dynamic interpretation: it is the analogue of the wave reflected from the fixed end of a stretched cord, after having been imparted by the hand to the free end. The hair was taken from a lad aged seven years and a half, a gentleman’s son; he is reported as being “an active, healthy boy, quick and intelligent.” He was delicate up to the age of four, having suffered in quick succession the diseases of childhood, a severe attack of croup, and several attacks of convulsions. The change in the appearance of the hair was first noticed when he was between two and three years old, and increased perceptibly during the last two years. There is no similar alteration of structure of the eyebrows and eyelashes. His complexion is dark, while that of a younger brother is fair; and the latter is free from any alteration of the hair. The dynamic nature of electric energy is clearly indicated by the dynamo-electric machine of Holtz, in which dynamic is directly converted into electric energy,—and by the cognate machines of Wilde, Wheatstone, Siemens, and Ladd, in all of which alike there is an intervening conversion of dynamic into magnetic energy. The enormous amount of current-energy evolved in Mr. Wilde’s machine when the power of a steam-engine is employed to rotate the armatures may be judged of by the fact that a lag piece of platinum wire 0·2 inch in thickness was seen to be disintegrated and partially fused. It is difficult to conceive that in these stances dynamic energy can be converted into magnetic “fluid,” and tat again into thermic energy: the conversion of motion into matter, and the subsequent reconversion of matter into motion, are obviously impossible.


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