Reply to first initiative did not reach all the parties being notified, thus we have this derivation issued in decree. It is said that one should study algebra before that of calculus. Of course calculus is a spectacular tool and has its uses. But in the study of air core transformers the subject is exclusively more or less tied to tesla coils and radio circuits at high frequency. These theorists by not enduring the "school of hard knocks" have little or no realization of the real actions of circuits vs the ideal actions cited in electrical textbooks. Particularly true in this case is the "algebra" of study concerning the less spectacular "source frequency air core transformer". It is here where we find some important correlation of pi as a energy gate. As every astute electrical engineer is aware, an inductor has an inductive reactance that causes the amperage as the effect of energy flow from the cause of the source of emf to lag behind in time. Because of this the cyclic waves of each voltage and amperage measurement do not coincide in time and the voltage times the amperage measurement is termed the apparent power which should always be a higher value then the true power measured as the heat loss on the inductor; or the I^2R measurement. Now a reactance borrows and returns energy from the source, so what happens in series resonance? A cancelling reactance is added in series and the circuit should then obey ohms law, if other factors are ignored. Now to accomplish the higher current demanded from ohms law compared to the current derived from impedance alone, an internal voltage rise occurs in the circuit. More amperage and more voltage in the circuit also means expanded magnetic and electric field values then that found in the reactive state. But at series resonance VI= I^2R and all the apparent energy input as VI will go into the heating of the wires as the I^2R heat loss. So where did the energy for the expanded energy transfer in time contained in the oscillating magnetic and electric fields come from? Now that energy flow does not come from the source as borrowed and returned energy any more, instead the energy is borrowed and returned amongst the reactive entities themselves. WHEN THE Q FACTOR IS PI, or when the energy in the fields has gone up 3.14 times from its reactive state,(as the increase of amperage from that reactive state) now the energy transfer between those fields in time will EQUAL that dissipated as heat. What this means is that if the air core transformer primary of the system is designed higher then pi with secondary components also displaying q factors higher then pi then the REAL secondary heat power out will exceed the REAL primary wire connected input as its I^2R real power input from the wire connected source itself.. This initially may contradict the theorists who state that more power outputed then inputed is impossible. But then we discover an incredible thing: the 3 phase primary system has its time circle contracted by ~17%! The situation is analogous to having a circular spinning generator with long "lossless" delivery wires where the relative velocity differences between the center and the sender having a relative time compressed by relativity movement through space has the shown effect of converting time into energy. Sincerely HDN Pioneering the Applications of Interphasal Resonances http://tech.groups.yahoo.com/group/teslafy/
