60 second analysis discovery!
Sometimes I think my circuit simulations fail at some point then something new is discovered that brings me back into the game.
Its always good to run a 60 second simulation on experimental energy circuits in LTSpice to look for things such as charge up phenomena that occurs over time, which is the case with 1 Henry inductance in these circuits as well as the 1 Farad capacitor in the final version, all of which take up to 6 seconds of delayed time response to fully charge. At which point in the 60 second simulation another harmonic resonance begins to occur in the circuit of a frequency of about 7.6 Hz after about 6.4 seconds of circuit simulation time. I have also come to believe another harmonic of 0.142 Hz exist in the circuit also. I have 4 snaps shots below for this discussion of these analysis.
In running such a simulation on the final version of the circuit which is the generator itself, the introduction of the primary L3 in series with the secondary L2 produces an induced voltage that is not of the same phase as that of C2 in the previous concept circuits. This voltage affects all of the inductors in the circuit as well as the resonance thus introducing a third resonance in the circuit where we have the 1 kHz signal input, a secondary signal resonance of around 7.6 to 7.9 lHz and the third that occurs about 6.5 seconds after start up which is the 7.6 Hz signal, and appears to be a sub-harmonic of the 7.6 to 7.9 kHz range signal.
The result of this latter signal is that it places a higher voltage across C1 and charges it up to a level of 22.6V DC with a little ripple current, this raises the apparent power supply input voltage at the junction or nodes of D1 and C1 in the circuit that I have identified as TP_1 for test point 1. This in effect creates a new power supply level that increases the power input into the circuit, which is power the circuit induces into itself. The measured power input from our 12V DC supply then drops down into the 300 micro-watt range where it appears that this power level is that which is only required to supply losses back to the circuit.
As you will see with the software analysis an extreme amount of over unity performance is demonstrated with this circuit behaving this way in these simulations, from 380 micro-watts of power input after the circuit is charged to the 1 watt range of output into the load. And we are talking about over a good period of duration over a wave cycle too as opposed to high level spike type wave forms of instantaneous power which could be of little use if that were the case but this is not the case here as you will see.
In the plot seen with this comment figure4.png represents the plotted voltage performance of TP_1 after 6.4 seconds of simulated time, the sampling is delayed by 5 seconds before the plot begins hence the the wave forms begin on the plot at 1.4 seconds into the graph. The plot type is a transient response plot with the initial operating point skipped because of initial start up transient responses in the kilo volt range which slow down and even crash the simulation, also if it runs it will try and find a plot scenario for the initial circuit operating point after searching through unusual and sometimes unrelated plot parameters which can take all day just to find the right plot solution, in which case it output error plots. So skip the initial operating point solution and we select 5 seconds into the simulation to skip the left over transients which auto place the plots in the kilo volt range. So with the right parameters set to run a simulation that corroborates with our two previous concept circuits, we can plot the circuit in its actual operation relative to the performance of the concept circuits.
Now our plot shows that the power supply voltage (green plot) is initially 12V DC minus the voltage across D1 at the junction or nodes of D1 and C1 which is our test point 1 (TP_1). Then when the 7.6 Hz oscillation begins as we see occurring at around 6.4 seconds (1.4 seconds on the 5 second delayed plot graph) which when it starts up has high level sine wave peaks then levels off after it has placed a charge on C1 with a resultant voltage drop across C1 of 22.6V DC which remains for the entirety of our 60 second simulation and hence becomes our new power supply input voltage at TP_1. As you can see in the red plot the power supply V1 has charged the circuit up and has already begun and is dropping by the time of 5 seconds of circuit run time, hence is seen already dropping down to the zero axis by 1.4 seconds on this graph.
Now we want to look at the power supply V1 after C1 is charged up to 22.6V DC since our input source power from V1 is no longer required to power the circuit and now only seems to be supply leakage power losses back to the circuit. See figure5.png below. Our simulation of this will begin around 7 seconds into the start up time of the circuit so as to remove the initial power supply charge up level power which is high from the plot so we can narrow down on the micro-watt range of view, hence the simulation begins where the 7.6 Hz oscillation has already started and we will run this simulation for at least 20 seconds after that to see what happens, which indicates the circuit appears to become stable and operating with this scenario. And we can now see that the DC power input level that we have acquired of 22.6V DC via induced charge on C1 results in 380 micro-watts of power being output from V1.
Now this means that the power level at TP_1 is higher so we want to look at that and the output power too. See figure6.png below. To look at this level of power we will use the power equation of V(TP_1)*I(C1) for E*I. In our 20 second plot we can see that the peak to peak power level is 1.867W so please note the scale of the plot from 0.9W to -2.4W and compare this to the micro-watt scale of the previous plot of V1 power.
In figure7.png we are looking at the output power across R1. Figure8.png is a close up of the output power waveform at around 20 seconds
Now the last thing I want to look at here is whether or not we can maintain the level of induced power on TP_1 for 60 seconds of simulated circuit time so we will look at the results of that plot (figure9.png below), where we will begin the plot at 0 seconds with no offset delay such as we used before, and it begins with a negative voltage spike, then at about 6.4 seconds in we see our 7.6 Hz resonance kick in that raises the voltage on TP_1 to 22.6V DC after about 9 seconds into the simulation. The thing we are looking for here is that the circuit will maintain this level of induced voltage from here on out, and hence the resultant level of induced power at this point to use as the source of power with V1 supplementing the losses after V1 has used a high level of power to initially start the circuit up.
Now as the circuit progresses it looks to still be stabilizing over the span of 60 seconds. And it appears that we might have another lower level resonance on TP_1 that is below 1 Hz, which would not surprise me considering the high inductance of the transformers and use of a 1 Farad capacitor. We have 1.25 H in series with C2 which creates a resonant series circuit of 0.142 Hz). Only a much longer simulation will determine if this is the case which is a very long simulation even for my dual core processors. I would need a 4 to 8 core processor which about 16 Gb of RAM to speed up these simulations. Anyways it looks as if the circuit is still undergoing stabilization coming down to 60 seconds and beyond, which I think should be expected with the inductances used here.
The end result of this simulation then shows that after the charge and voltage on C1 stabilizes due to being charged up by a 7.6 Hz resonance, at about 12 seconds on toe 60 seconds we have a 1.3V DC drop at TP_1 as the circuit moves on to 60 seconds. We might also have reason to suspect a 0.14 Hz oscillation is showing up in this voltage plot also, but that has yet to be determined by a longer simulation.
Ok a test model for this is located below as sonic resonator2a.zip for use with LTSpice.
My conclusions to date are that it is possible to use resonances in a circuit to induce voltages and currents that can be stored for power use in the circuit. With some detailed math analysis of everything we will be able to better design circuits to do this with some stable circuit performance results. In effect we are looking now at a peculiar resonance generator circuit able to induces its own power back into the power input section, which demonstrates it is possible and is worthwhile exploring further. And I think this is now something significant as opposed to my original failed attempts at this idea back in 2009.
I will have to also comment that originally this circuit idea concept failed me back in 2009, and so I just dismissed it altogether until people showed an interest in running the circuit simulations out of curiosity and then I come back to see what theses circuits were they were running and decided to undertake to explain why they fail in concept, only to have my attempts to setting up experiments to disprove them open up new views of how to use them. I had a few failures recently but somehow they get turned around and then I was back on track again. And if I had not run a 60 second simulation to check things I would not have discovered this unexpected level of power generation at the junction of TP_1 which exceeds my earlier findings of operation in the previous post in these threads, so at this point I am sort of scratching my head.
Now I really do need to find manufacturer data on a 1H transformer to insert the real world data into the model with some resistance which only lowers the DC current from V1 to Q1. That will be my next task perhaps today if possible. If I can find a transformer of this level of inductance.
http://www.charlesindustries.com/main/transformers_datasheet.pdf