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EIGEN VALUES, EIGEN VECTORS, NUMERICAL METHODS
Typology: Exams
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You should have the following for this examination Mathematical table Non – programmable scientific calculator Drawing instruments This paper consists of 5 questions Answer any THREE questions All questions carry equal marks Answer all questions in English 1a) State the methods of reducing the system transfer reactance for improvement of steady state stability (3mks) b) Derive the swing equation of a synchronous generator (6mks) c) The ABCD constants of a nominal П network representing a three phase transmission line are: A = D = 0.940.8 , B = 66 72 , C = 0.002 91 siemens. Given that both sending and receiving end voltages are kept constant at 132KV, determine the steady state stability limit with: i) The ABCD constants as indicated; ii) Both series resistance and shunt admittance neglected (11mks)
2a) State four types of power line faults (4mks) b) With the aid of phasor diagrams, explain the following: i) positive phase sequence ii) negative phase sequence iii) Zero phase sequence (6mks) c) Determine the values of the positive phase sequence of symmetrical components of a system of currents; IR = 300 0 , IY = 400 240 and IB = 200 90 . The phase sequence is RYB (10mks) 3a) Describe each of the following relay system protection; i) Distance relays ii) Directional relays (6mks) b) i) State two factors considered when selecting the type of protection to be used in a transformer. ii) With the aid of a diagram, describe the operation of a High Rapturing Capacity (HRC) fuse. (8mks) c) A 50Hz, four pole turbo- generator rated at 100MVA,11KV has an inertia constant of 8MJ/MVA. Determine the; i) stored energy at the rotor i9n synchronous speed ii) rotor acceleration if the mechanical input is suddenly raised to 80MW for an electrical load of 50MW (6mks) 4a)Define each of the following as used in transmission line; i) Surge ii) Arcing ground b) Describe each of the following lightning strokes; i) direct ii) indirect c) A3 phase, 50Hz, 16km long overhead line supplies 1000kw at 11kv, 0.8 power factor lagging. The line resistance is 0.03 and inductance 0.7mh per phase per km.