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power-flow equations, DC power-flow solution(Newton,fast decoupled). Using MATLAB.
Subject
Engineering
Question Description
Consider the following power system.
Use j0.1 as the transmission line impedance for the three lines between Buses 1 and 4, 2 and 4, and 3 and 5 respectively.
Suppose the following are specified:
PG2 = 0.6, V2 = 1.05, PG3 = 1.0, V3 = 1.06
PL2 = 0.2, PL3 = 0.3, PL4 = 0.8, PL5 = 0.8
QL2 = 0.1, QL3 = 0.1, QL4 = 0.2, QL5 = 0.2
a) Classify the bus types and write out the power-flow equations.
b) Find the power-flow solution using "fsolve" in Matlab.
c) Compute the DC power-flow solution.
d) Starting from the DC power-flow solution, implement the Newton-Algorithm till all the power mismatch errors are smaller than 0.001 pu. How many iterations does it take to reach convergence?
e) Starting from the DC power-flow solution, implement the fast decoupled power-flow algorithm until all the power mismatches are smaller than 0.001 pu. How many iterations does it take to reach the convergence?
f) Repeat parts c, d and e, when each of the loads specified, PL2 through PL5, and QL2 through QL5, become twice the values stated above. Comment on your results.
g) Repeat parts c, d and e, when each of the loads specified, PL2 through PL5, and QL2 through QL5, become half of the values stated above. Comment on your results.
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