In the diagram, the ideal three-phase voltage sources have the following values:
V A B = 1 0 ∠ 0 ∘ V B C = 1 0 ∠ − 1 2 0 ∘ V C A = 1 0 ∠ 1 2 0 ∘
The load connection terminals are marked a , b , c , n . The red connecting wires are ideal. Consider the two scenarios shown below. In each case, the load draws currents ( I A , I B , I C ) . Call the two loads "equivalent" if ( I A , I B , I C ) are the same for both scenarios (to within 1 milli-amp on each phase, after vector subtraction).
Are the loads from Scenario 1 and Scenario 2 "equivalent"?
Scenario 1
Z a b = 1 0 + j 0 Z b c = 1 0 + j 0 Z c a = 1 0 + j 0 Z a n = ∞ Z b n = ∞ Z c n = ∞
Scenario 2
Z a b = ∞ Z b c = ∞ Z c a = ∞ Z a n = 5 + j 0 Z b n = 2 . 5 + j 1 . 4 4 3 Z c n = 2 . 5 − j 1 . 4 4 3
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