I am currently conducting a study that proposes a mathematical model.
"mathematical model (n): a representation in mathematical terms of the behavior of real devices and objects."[1]
The study composes of:
AIM of the study: Create a mathematical model that represents a phenomena or happening...
I just did a crash course on phasors in YouTube a while ago and it does seem to simplify calculation. True, at normal operating conditions devices do draw current at the fundamental frequency, meaning, pretty much regardless of the number of loads connected, all draw current at the same...
What if I can determine the phase angle at which the individual currents are drawn?
I0(t) = Σ# of loadsn=1 An * √(2)* sin(2πf + Φn)
Where I can calculate the phase angle through time delay of the current with respect to the voltage:
Φn = 360° * f * Δt
Here is what I did:
I am looking for I_0 considering it that I_0 is a complex wave due to the harmonic current distortions caused by the non-linear loads (A_1, A_2, A_3, A_4).
Notice that I added a *sqrt(2) >> [computing the peak value from RMS] << in the equation as loads draw current...
I needed Fourier series because I assumed that the current running through I_0 is a complex wave.
To simplify the complex wave, Fourier says that such a complex wave is the sum of waves that results to the complex wave, and those sums are the draw current of each load. If each load is a linear...
I made this scenario where I am looking for the total current running through a wire (I_0).
I am also trying to model the current running through the wire (I_0) considering the harmonics contributed by the four loads.
But since Fourier stated that a complex waveform is the discrete sum of some...
Why do the magnetic fields in-between the wires does not seem to cancel? Even those outside each wire? (the fields do are not in opposite direction). Yet most of the people I have talked to until now says that such magnetic fields do cancel? I am confused...
I = A_0 * sin(n_0wt + p) + A_1 * sin(n_1wt + p) + ... +A_n * sin(n_nwt + p)
Looking at the equation, it only contains sinusoidal waves. Further, there is the possibility of waves having the same shift or no shift at all and even, having the same frequency. Is it really valid or correct to use...