A 1 GW synchronous generator is connected to an infinite bus through a transmission line. The infinite bus voltage (per phase) is 100kV (reference voltage), the inductive reactance of the transmission line is 5 ?, the synchronous reactance of the generator is ?? = 8 ?. If the generator delivers its rated power at unity power factor to the infinite bus, compute the following:
a) Terminal voltage of the generator (5 Points)
b) Equivalent field voltage (5 Points)
c) The active and reactive power output at the generator terminals (5 Points)
d) The generator capacity (i.e., apparent power) (5 Points)
e) If a capacitor with capacitive reactance of 5 ? is connected in series with the transmission line, what is the new capacity of the system? (5 Points)
f) If a second transmission line with ?line2 = 5 ? is connected in parallel with the original transmission line, what is the new system capacity? (5 Points)
A 1 GW synchronous generator is connected to an infinite bus through a transmission line. The...
A 100MVA synchronous generator is connected to a 25kV infinite bus through two parallel transmission lines. The synchronous reactance of the generator is 2.5Ω. Each transmission line has inductive reactance of 2Ω and 0.2Ω resistance. The generator delivers 90MVA to the infinite bus at 0.8 power factor lagging. For the above conditions, calculate: a. The terminal voltage of the generator b. The equivalent field voltage and power angle c. The real power output at the generator terminals d. The reactive...
Problem 2. A 3-phase star-connected turbo-generator feeds power to 11 kV infinite bus, through two parallel transmission lines each having a reactance of452. The generator synchronous reactance is 3 Ω. (a) The mechanical input to alternator and its excitation are adjusted as that the operating power factor at alternator terminals is unity and rated current of 500 A is delivered. Calculate the alternator terminal and excitation voltages. Also determine the active and reactive powers delivered to the infinite bus. (b)...
A synchronous generator with a synchronous reactance of XS =j 0.45Ω is connected to a 20 kV infinite bus via a transmission system whose reactance is Xe = j0.1Ω. The generator terminal voltage is adjusted as 20 kV to synchronized with the infinite bus. The generator delivers 400 MW to the infinite bus. a) Compute the armature current. b) Compute the generator's internal voltage (E).
A synchronous generator is connected to an infinite bus via a transformer and a network of transmission lines, as illustrated in Figure 1 below. Per unit reactances for all elements are shown to a common system base. The generator is delivering 1.1 per unit real power to the infinite bus, and the infinite bus voltage is regulated to 1.05 per unit. The excitation voltage of the synchronous generator is set to 1.30 per unit. The inertia constant of the generator...
3. (30) A simple power system, shown below, is made up of a synchronous generatcr connected to a synchronous motor through a couple of transformers and a transmission line. The reactances of the different elements of the system are all given in pu as: Xsg-0.5 X of each transformer-10 % Xsm-0.5 X transmission line 0.3 The synchronous motor is connected to an infinite bus Hint: The great advantage of an infinite bus is that it always remains constant and our...
A 3-phase, 1000-MVA, \(20-\mathrm{kV}, 60-\mathrm{Hz}\) synchronous generator is connected to an infinite bus as shown below. All impedances are given in pu values. The generator delivers \(0.9\) pu power at unity power factor to the infinite bus whose voltage is at 1 pu.If phase 'A' of circuit 2 (CCT 2) between buses H1 and H2 is suddenly opened at point ' \(\mathrm{F}\) ' near bus H1 due to the opening of a circuit breaker, determine:(a) [10 marks] The internal voltage...
Question 5 (Svnchronous machines) a. A synchronous generator connected to an infinite grid has its frequency and terminal b. A six-pole, Y-connected three-phase synchronous machine rated 208 V (line-to- voltage fixed. What is the effect of increasing the excitation current in this case? line), 5500 VA has a synchronous reactance of 8 2 per phase at rated terminal voltage. It is operating as a generator connected to an infinite grid Determine the excitation voltage and the power angle if the...
A 50-Hz generator, connected directly to an infinite bus operating at a voltage of 120° pu, has a synchronous reactance of 1.35 pu. The generator no-load voltage is 1.1 pu, and its inertia constant H is 4 MJ/MVA. The generator is suddenly loaded to 60 percent of its maximum power limit. Determine the frequency of the resulting natural oscillations of the generator rotor.
A 50-Hz generator, connected directly to an infinite bus operating at a voltage of 120° pu, has...
A 50 Hz, 250 MVA synchronous generator having inertia constant H=5 MJ/MVA is connected to an infinite bus through transformer and transmission line as shown below. The transformer reactance is based on 500 MVA, while the other impedances are based on the generator MVA Infinite bus 1 2 3 XL 0.1 pu - oto G1 V= 1.0 pu X 0.1 pu Xd = 0.3 pu at 500 MVA The generator is delivering 0.8 of full load current at a power...
infinite bus through a step-up transformer Consider a synchronous generator connected to an Given the single phase equivalent circuit information EZS= generator phase to neutral EMF VZ0 infinite bus phase to neutral voltage referred to the generator side of the step-up transformer generator synchronous reactance Zg jX, jX, transformer impedance referred to the generator side of the transformer Z, a) Sketch the capability diagram of a synchronous generator. Label all boundaries and explain their significance. Show clearly the safe operation...