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Code No: 320256

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III B.Tech. II-Semester Supplementary Examinations, November-2003 MODELING OF POWER SYSTEM COMPONENTS (Electrical and Electronics Engineering) Time: 3 hours Max. Marks: 70 Answer any FIVE questions All questions carry equal marks --For the sample network shown in figure below, form (a) The incidence matrices A^, A, K, B, B^, C and C^ and verify the following (i) AbKt = U (ii) Bl = Al Kt (iii) C^ Bt = U

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Retain node 1 as the references, and take 1,2,5 as tree

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b)

Derive the expression for the loop impedance Zloop using singular transformation in terms of primitive impedance matrix Z and the basic loop incidence matrix C. Derive an expression for Zloop for the oriented graph shown below

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2. a)

How bus impedance matrix is developed by step by step method? Describe the method with algorithm.

4.

Describe the method of Ybus formation by direct inspection and by singular transformation. Bring out the advantages of Ybus over Zbus with suitable examples.

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Contd….2

Code No. 320256

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Form the matrices A, B, C and K as three phase representation for the following power system network:

6.a)

Derive the swing equation of a single machine connected to an infinite bus system. State the assumptions made. A 2 pole-50 Hz Turbo alternator has a rating of 50 MVA. Its rotor has a moment of inertia 9000 Kg-m2. Calculate its inertia constant in MJ/MVA and its momentum in MJ sec/elec. degree and in MJ sec/elec. radian.

7. a) b)

Explain the turbine speed governing mechanism and hence derive the transfer function of speed governing system. Explain what is meant by Cross-coupling between control loops. Explain the characteristics of an excitation system and develop a transfer function of first order for the same.

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Code No: 320256 III B.Tech. II-Semester Supplementary Examinations ...

A 2 pole-50 Hz Turbo alternator has a rating of 50 MVA. Its rotor has a moment · of inertia 9000 Kg-m · 2 . Calculate its inertia constant in MJ/MVA and its.

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