Line - Line voltage with different phase angles, amplitudes and frequencies?

I know that the mathematical equation for the calculation of Line - Line voltage with same frequency, same Phase angle, same Voltage of 3 lines from the same generator.

now, i want to know having different properties of Line - Line Voltage.

what are the mathematical techniques use for this example problem.

if,

L1 — 100V, 50Hz, 30 degree phase angle,

L2 — 230v, 60Hz , 120 degree phase angle, (I think it is not practically workout, just assume those are individual generators connected to same neutral )

now,

what is the line to line voltage of L1 & L2 ?

• If the frequencies were not different, you would calculate the voltage using phasors or complex numbers. With two different frequencies, you have a non-sinusoidal periodic waveform. – Charles Cowie Oct 25 '18 at 17:04
• I'm voting to close this question as off-topic because hit is a homework or study question with no effort to solve shown. – Charles Cowie Oct 25 '18 at 17:05
• i am asking just what are the techniques for that kind of problem, not for exactly solution. i given problem is for just understanding the concept. – ParashuRamu Oct 25 '18 at 17:11
• trigonometry is the skill-set needed. – analogsystemsrf Oct 25 '18 at 17:15
• The circle marked V? is assumed to be a load, but it could be just a meter to get the voltage across it, you subtract the lower voltage from the higher one. Use complex numbers or phasors. If you don't understand the use of those, you need to lear that first. – Charles Cowie Oct 25 '18 at 17:19