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VTU Electrical and Electronic Engineering (Semester 7)
Computer Techniques in Power System Analysis
May 2016
Computer Techniques in Power System Analysis
May 2016
1(a)
Explain the terms:
(i) Tree
(ii) Co-Tree
(iii) Tree branch path incidence matrix with an example.
(i) Tree
(ii) Co-Tree
(iii) Tree branch path incidence matrix with an example.
10 M
1(b)
For the power system shown below. Select ground as reference and a tree for which the link elements are 1-2, 1-4 , 2-3 and 3-4. Write the basic cut set and basic loop incidence matrix. Verify the relation Cb=BTl !mage
10 M
2(a)
Consider the power system network shown below; Image
The data is given below;
The data is given below;
| Line No. | Between lines | Line impedance |
Off nominal turns ratio |
|
| 1 | 1-4 | 0.08+j0.37 | 0.007 | - |
| 2 | 1-6 | 0.123+j0.518 | 0.010 | - |
| 3 | 2-3 | 0.723+j1.05 | 0 | - |
| 4 | 2-5 | 0.282+j0.64 | 0 | - |
| 5 | 4-3 | 0+j0.133 | 0 | 0.909 |
| 6 | 4-6 | 0.097+j0.407 | 0.0076 | - |
| 7 | 6-5 | 0+j0.30 | 0 | 0.976 |
12 M
2(b)
From the ZBUS for the power system shown below. Select node (i) as reference. The line reactances are marked in pu. !mage Fig.Q2(b)
8 M
3(a)
Explain with the help of a flow chart Gauss Seidel method of load flow analysis in a power system.
10 M
3(b)
Compute the line flows and line losses for a 3-Bus power system network shown below. The data obtaied from load flow is as follows;
:!mage
| ElementNo. | Bus From To | R | X | Bus No | |V| | δ |
| 1 | 1-2 | 0.02 | 0.04 | 1 | 1.05 | 0.0 |
| 2 | 1-3 | 0.01 | 0.03 | 2 | 0.9818 | -3.5° |
| 3 | 2-3 | 0.02 | 0.025 | 3 | 1.00125 | -2.665° |
:!mage
10 M
4(a)
In a two bus system shown in Fig.Q4 (a). The bus 1 is slack bus with V=1.0∠0degree pu and bus 2 is a load bus with P = 100 MW, Q =50 MVAr. The line impedance is (0.12+j0.16) pu on a base of 100 MVA. Using Newton Raphson load flow method compute |V2| and δ2 upto on iteration. !mage
10 M
4(b)
Explain the algorithm with Fast Decoupled lead flow analysis clearly stating all the assumptions made
10 M
5(a)
What is meant by economic load scheduling? Explain the Hydro and Thermal unit input-output curves.
10 M
5(b)
A power plant has three units with following cost characteristics:
F1=0.05p2p1+21.5P1+800Rs./hr;
F2=0.10P2p2+27P2+500Rs/hr
F3=0.07P2P3+16P3+900Rs/hr
Find the optimum scheduling and total cost in RS./hr for a total load demand of 200 MW. Given that Pimax =120MW: Pimin=39MW: where i = 1,2,3
F1=0.05p2p1+21.5P1+800Rs./hr;
F2=0.10P2p2+27P2+500Rs/hr
F3=0.07P2P3+16P3+900Rs/hr
Find the optimum scheduling and total cost in RS./hr for a total load demand of 200 MW. Given that Pimax =120MW: Pimin=39MW: where i = 1,2,3
10 M
6(a)
Explain optimal sheduling of hydro-thermal plants and also explain its problem formulation.
10 M
6(b)
Figure shown in Fig.Q6(b) is having two plants 1 and 2 which are connected to the buses 1 and 2 respectively. There are two loads and 4 branches. The reference bus with a voltage of 1.0∠0degree pu is shown in the diagram. The branch currents and impedances are as follows:
Ia=(2-j0.5)pu;
Ib=(1.6-j0.4)pu;
Ic(1-j025)pu;
Id=(3.6-j0.9)pu;
Za=Zb=(0.015+j0.06)pu;
Zc=Zd=(0.01+j0.04)pu Calculate the loss coefficients in the system in pu.
Ia=(2-j0.5)pu;
Ib=(1.6-j0.4)pu;
Ic(1-j025)pu;
Id=(3.6-j0.9)pu;
Za=Zb=(0.015+j0.06)pu;
Zc=Zd=(0.01+j0.04)pu Calculate the loss coefficients in the system in pu.
10 M
7(a)
Explain the computational algorithm for obtaining the swing curves using Runge Kutta method.
10 M
7(b)
Explain the load models employed in multi-machine stability analysis with neat sketch.
10 M
8(a)
Explain Milne's predictor corrector method of for solving the swing equation of multi-machine system.
10 M
8(b)
Explain the swing equation and its importance in stability studies.
10 M
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