HMW 6 - a) What are its synchronous reactance and armature...

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18-418: Electric Energy Processing: Fundamentals and Applications Homework #6 Problem 1) A 13.2kV single phase generator supplies power to a load through a transmission line. The load impedance is 500 36.87 load Z  , and the transmission line’s impedance is 60 53.1 line Z  a) If the generator is directly connected to the load, what is the ratio of the load voltage to the generator voltage? What are the transmission losses of the system? b) If a 1:10 step up transformer is placed at the output of the generator and a 10:1 transformer is placed at the load end of the transmission line, what is the new ratio of the load voltage to the generated voltage? What are the transmission losses of the system losses now? (Note: The transformer may be assumed to be ideal)
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Problem 2) A 100MVA, 12.5kV (V LL ), 0.85-PF-lagging, 50Hz, two-pole, Y-connected synchronous generator has a per unit synchronous reactance of 1.1 and a per-unit armature resistance of 0.012
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Unformatted text preview: a) What are its synchronous reactance and armature resistance in ohms? b) What is the magnitude of the internal generated voltage E A at the rated conditions? What is its torque angle at these conditions? c) Ignoring losses in this generator, what torque must be applied to its shaft by the prime mover at full load? Problem 3) In the two bus network below, the line impedance is (0.01+j0.1)pu and the load S = (56+j13)MVA. Calculate two iterations of the Newton-Raphson AC power flow. Clearly write the formulas for the admittance matrix and the Jacobians for this network. Use 100MVA as the system power base. Problem 4) For the four bus system below, line Z is given in pu, power in MW/MVar (S base =100MVA). a) Calculate the distribution factors matrix. b) Bus angles and real power flows using the distribution matrix from part a. In both parts a) and b), clearly label bus numbers and lines used in the matrices....
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HMW 6 - a) What are its synchronous reactance and armature...

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