# Questions & Answers of Gauss-Seidel and Newton-Raphson Load Flow Methods

Question No. 51

A two bus power system shown in the figure supplies load of 1.0+j0.5 p.u.

The values of V1 in p.u. and δ2 respectively are

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Question No. 226

A 183-bus power system has 150 PQ buses and 32 PV buses. In the general case, to obtain the load flow solution using Newton-Raphson method in polar coordinates, the minimum number of simultaneous equations to be solved is ___________.

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Question No. 9

The bus admittance matrix of a three-bus three-line system is

$Y=j\left[\begin{array}{ccc}-13& 10& 5\\ 10& -18& 10\\ 5& 10& -13\end{array}\right]$

If each transmission line between the two buses is represented by an equivalent $\mathrm{\pi }$-network, the magnitude of the shunt susceptance of the line connecting bus 1 and 2 is

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Question No. 44

A three – bus network is shown in the figure below indicating the p.u. impedance of each element

The bus admittance matrix, Y -bus, of the network is

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Question No. 17

Consider two buses connected by an impedance of (0+j5) Ω. The bus 1 voltage is $100\angle 30°$V, and bus 2 voltage is 100∠ 0o$100\angle 0°$V.The real and reactive power supplied by bus 1, respectively, are

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Question No. 26

For the Y-bus matrix of a 4-bus system given in per unit, the buses having shunt elements are

${\mathbf{Y}}_{\mathbf{BUS}}\mathbf{=}j\left[\begin{array}{cccc}-5& 2& 2.5& 0\\ 2& -10& 2.5& 4\\ 2.5& 2.5& -9& 4\\ 0& 4& 4& -8\end{array}\right]$

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Question No. 32

Consider the two power systems shown in figure A below, which are initially not interconnected, and are operating in steady state at the same frequency. Separate load flow solutions are computed individually of the two systems, corresponding to this scenario. The bus voltage phasors so obtain are indicated on figure A.

These two isolated systems are now interconnected by a short transmission line as shown in figure B, and it is found that P1=P2=Q1=Q2=0.

The bus voltage phase angular difference between generator bus X and generator bus Y after interconnection is