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Open PowerWorld Simulator case .58, which models a seven
Chapter , Problem 6.59(choose chapter or problem)
Open PowerWorld Simulator case Problem 6.58, which models a seven bus system using the dc power flow approximation. Bus 7 is the system slack. The real power generation/load at each bus is as shown, while the per unit reactance of each of the lines (on a 100 MVA base) is as shown in yellow on the one-line.
(a) Determine the six by six B matrix for this system and the P vector.
(b) Use a matrix package such as Matlab to verify the angles as shown on the one-line.
Questions & Answers
QUESTION:
Open PowerWorld Simulator case Problem 6.58, which models a seven bus system using the dc power flow approximation. Bus 7 is the system slack. The real power generation/load at each bus is as shown, while the per unit reactance of each of the lines (on a 100 MVA base) is as shown in yellow on the one-line.
(a) Determine the six by six B matrix for this system and the P vector.
(b) Use a matrix package such as Matlab to verify the angles as shown on the one-line.
ANSWER:Step 1 of 3
(a)
Since bus 7 is the slack bus, we can neglect row 7 and column 7 in our B matrix and P Vector.
\(B=\left[\begin{array}{cccccc} -20.833 & 16.667 & 4.167 & 0 & 0 & 0 \\ 16.667 & -52.778 & 5.556 & 5.556 & 8.333 & 16.667 \\ 4.167 & 5.556 & -43.056 & 33.333 & 0 & 0 \\ 0 & 5.556 & 33.333 & -43.056 & 4.167 & 0 \\ 0 & 8.333 & 0 & 4.167 & -29.167 & 0 \\ 0 & 16.667 & 0 & 0 & 0 & -25 \end{array}\right]\)