Adding Four Vectors

All vectors must be converted to rectangular coordinate form.

Vector 1 (orange color) + Vector 2 (blue color) + Vector 3 (green color) + Vector 4 (black color)
Using complex number addition the resultant is Vector 5 (red color)

Step 1: Add the x-coordinate of vector 1 + vector 2 + vector 3 + vector 4
= vector 5 ( x-coordinate)
Step 2: Add the y-coordinate of vector 1 + vector 2 + vector 3 + vector 4
= vector 5 (y-coordinate)

To edit, go to bottom right hand corner of the graph and click edit graph on Desmos

Note: Letter A, B, C, and D are the values of vectors magnitude
letter a, b, c, and d are the corresponding angles in degree notation.

Initial condition: all angles are in 30 degrees inclination meaning a = 30; b=30; c=30; and d=30

Practice set all angles in 360 degress a=360 ; b=360; c= 360 and d=360


Go to bottom right hand corner of the graph and click edit graph on Desmos

Change the value of magnitude of vector A = 105 Ampere , B = 103 Ampere, and D = 108 Ampere
Answer in rectangular form (360.27, 208)
Answer in polar form 416 Ample ∠ 30 °

What will happen if Bank A transformer phase angle is no longer averaging at 30 degrees? Change the value of a = 70 meaning the average angle is 70 degrees. Compute the new total current. Answer 397 Ampere ∠ 40 °

As you can see observing the phase angle deterioration could possibly be used as a predictor that there is internal movement inside the transformer. This is not expensive machine learning possible application and no outage requirements.

Can we use machine learning to watch the trending of transformer phase angle as a predictive variable to compute the remaining life of the transformer?
This will be my hypothesis that I would like to test using Phasor Measurement Units where transformer currents are measured in polar coordinates. For example 397 Ampere ∠ 40 °

By Sam Ortega, Created with Desmos Graphing

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