Reference no: EM132661774

Assignment

Question 1. For the system shown in Fig., determine the voltages at the end of the first iteration by Gauss-seidal method and also find the slack bus power, line flows, and transmission loss. Assume base MVA as 100.

Bus No.	Voltage	Generator		Load		MVAR	MVAR
		P	Q	P	Q
1.	1.05 ∠0°	-	-	-	-	-	-
2.	1.02 p.u	0.3 p.u	-	-	-	-0.04	0.01
3.	-	-	-	0.4 p.u	0.2 p.u	-	-

Question 2. The figure given below shows a power system.

Bus 1: Slack bus E_specified = 1.05 ∠0°  

Bus 2: PV bus |E|_specified = 1.2 pu         P_G = 3 p.u

Bus 3: PQ bus P_L = 4 p.u               Q_L = 2p.u

Carry out one iteration of load flow solution by Gauss-Seidel method. Take Q limits of generator 2 as 0 ≤ Q ≤ 4. Take α = 1.

Question 3. Fig shows a 3 bus power system. Carry out two iterations of load flow solution by N.R method

Line data	Z in p.u	Half line charging admittance
1-2	0.021+j0.04	0.006
2-3	0.013+j0.03	0.002
1-3	0.016+j0.05	0

Question 4. Perform gauss seidel load flow for the system shown in Fig. and the bus data is given in Table. Determine bus voltages, slack bus power, line flows and transmission line losses.

Question 5. For the sample shown in the Fig. the generators are connected at all four buses, while the loads are at buses 2 and 3. Values of real and reactive powers are listed in table. Bus 2 be a PV bus with V₂ = 1.04 p.u and bus 3 and bus 4 are PQ bus. Assuming a flat voltage start, find bus voltages and bus angles the end of first gauss seidal iterations. And consider the reactive power limit as 0.2 ≤ Q₂ ≤ 1.

Bus				Remarks
1	-	-		Slack bus
2	0.5	-	1.04 p.u	PV bus
3	-1.0	0.5	-	PQ bus
4	0.3	-0.1	-	PQ bus

Question 6. Perform two iteration of newton raphson load flow method and determine the power flow solution for the given system. Bus 2 is a voltage controlled bus having the rating P_G = 60 mw, V₂ = 1.02 p.u, - 10 < Q₂ < 100 MVAR. Carry out two iterations and determine bus voltage magnitude. Take base MVA as 100.

Line data:

Line	Bus		R(p.u)	X(p.u)	Half line charging   admittance(Yp/2(p.u))
	From	To
1	1	2	0.0839	0.5183	0.0636

Question 7. Perform two iteration of newton raphson load flow method and determine the power flow solution for the given system. Bus 2 is a PV bus having the rating P_G = 60 mw, V₂ = 1.02 p.u, - 10 < Q₂ < 100 MVAR. Carry out one iterations and determine bus voltage magnitude. Take base MVA as 100.
Line data:

Line	Bus		R(p.u)	X(p.u)	Half line charging   admittance(Yp/2 (p.u))
	From	To
1	1	2	0.0839	0.5183	0.0636