Y.S. Legovich, Y.V. Maximov, D.Y. Maximov
The work’s goal is wireless energy transfer without essential losses principal opportunity determination from the source to consumer both placed in a TEM wave global spherical resonator of idealized characteristics. The term «global» determinate the resonator sizes corresponding to ones of Earth and ionosphere.
The resonator characteristic idealization consists in proposition that its surfaces are ideal concentric spheres of conductivity so high as necessary for lossless energy transmission. The complex resistances of the source and load (including balancing lines) are supposed equal. For computation the balancing lines electrical scheme of N.Tesla with active resistances matching the losses due to finite conductivity of conducting surfaces (Earth and ionosphere) and inductive elements of balancing lines is accepted.
In executed computation the signal frequency is accepted as 1,2 kHz (wave length 250 km) and distance between resonator concentric spheres – 70 km (internal sphere radius 6370 km). Such choice allow to consider the field configuration in the resonator analogous to flat waveguide field configuration and to take in account only the main wave type supposing the high wave types been suppressed.
Representation system as symmetric quadrupole allows the reflecting images method using for its frequency characteristic computation.
Special program was developed for the task decision. The computation is fulfilled supposing the exciting device and resonator connection element have spherical form and balancing line to Earth inductive coil capacity several times higher then sphere suspending wire of given diameter capacity.
As a result we have the reflecting and transmitting by power coefficients frequency dependences and also inductive coil Q-factor reflecting conducting coil losses and «connecting area Q-factor» reflecting connecting area conductivity losses. Also values of others balancing line parameters are determine.
Investigating the suggested model we obtain main system elements parameters values estimations having which the system action is possible in principal. However the obtained values explain such system realization problem complexity.
So if N.Tesla had used the tower of 60 m height and the couple of 20 m diameter we have used the sphere suspending height of
560 m and sphere diameter of 30 m that have very simplified balancing conditions. Nevertheless very critical values of connecting area and balancing line elements electrical characteristics are obtained. For example for 90 % energy transfer the inductivity coil Q-factor should be (1,4 – 4)•108 (the coil wire omical resistance is (3,6 – 8)•10-5 Om in so doing). «Connecting area Q-factor» should be (3,3 – 6,7)•105 (that corresponds to some equivalent resistance 14,7 Om). To achieve such coil wire resistance values it is necessary special ways using up to deep coil cooling. «Connecting area Q-factor» also demand serious study.
The most complex problem however is precise and synchronous system resonance tuning and the system resonance supporting under varies external factors.