The circuit shown in Figure P3.35 is a simplified DC version of an AC three-phase wye-wye (Y-Y) electrical distribution system commonly used to supply industrial loads, particularly rotating machines. a. Determine the number of non-reference nodes. b. Determine the number of unknown node voltages. c. Compute v'1, v'2, v'3, and v’n. Notice that once v’n is known the other unknown node voltages can be computed directly by voltage division.
VS1 = VS2 = VS3 = 170 V
Rw1 = Rw2 = Rw3 = 0.7?
R1 = 1.9? R2 = 2.3?
R3 = 11?
What will be an ideal response?
Known quantities:
The values of the voltage sources, , and the values of the 6 resistors in the circuit of Figure P3.35:
Find:
a. The number of non-reference nodes.
b. Number of unknown node voltages.
c. Compute v’1, v’2, v’3, and vn’.
Analysis:
a) The reference node is the node common to the three sources. There are seven (7) non-reference nodes: v1, v1’, v2, v2’, v3, v3’, and vn’.
b) The only unknown node voltages are v1’, v2’, v3’, & vn’. v1=VS1=170V, v2=-VS2=-170V, v3=-VS3=-170V.
A node analysis is the method of choice! Specify polarity of voltages and direction of currents.
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