B- The height of a wind turbine is 32.13m. Find the wind speed in K/h needed to generate 4641.7Kw if the mass of air of 6.125Kg/5m³, Then explain the benefit of the gearbox
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- Air flowing at 604000 kilograms per second at a speed of 57 kilometres per hour. Assume the power coefficient of the wind turbine is the maximum possible as given by the Lanchester-Betz limit and gear, generator and electric efficiencies are 92%, 93% and 91% respectively. Determine the following: i. Wind power. ii. Mechanical power that could be achieved by the wind turbine rotor. iii. Electrical power output of the wind turbine.List the three approximations used in Fast Decoupled Power Flow, and discuss their reasoning.A power plant comprises three turbine-generators rated 1000 MW, 800 MW and 600 MW respectively. The regulation constant of each generator is 0.05 pu based on its own rating. Each unit is initially operating at one-half of its own rating, when the system load suddenly increases by 250 MW. Calculate the following:a) Per-unit area frequency response characteristic on a 1000 MW system base [CR9]b) Steady-state drop in area frequency [CR4]c) The share of the load increase on each generator [CR9]d) Total load on each generator after the increase in system load [CR3]Assume the reference power setting of each turbine is unchanged.
- A 2-pole, 50 Hz, 11 kV synchronous generator with a rating of 120 MW and 0.87 lagging power factor has a moment of inertia of 12,000 kg- . Calculate the constants H and M A 4-pole synchronous generator supplies over a short line a load of 60 MW to a load bus. If the maximum steady state capacity of the transmission line is 110 MW, determine the maximum sudden increase in the load that can be tolerated by the system without losing stabilitySuppose a power system consists of two isolated regions: a western region and an eastern region. Five units have been committed to supply 3090 MW as shown below. The two systems are separated by a transmission line that can handle a maximum transfer of 550 MW in either direction. If losses are ignored, calculate the spinning reserve for the overall system and for each region. Comment on the adequacy of the spinning reserve of the overall system, and for each region. (consider the effect on the power supply in each of the regions if the various generators fail). Repeat the above calculations and analysis if an average of 8% of the output of the generators is lost in the transmission and distribution system before reaching the load.A synchronous generator is connected to an infinite bus by a transmission line as shown in the figure. The field current IF = 900A when the unloaded generator is synchronized to the infinite bus. a.) P_M is increased to 0.5pu while I_F is held constant at 900A. Find the complex power S_Inf supplied to the infinite bus in per unit. b.) Determine S_Inf in per unit if IF increases to 1600A and PM is held fixed at 0.5pu.
- For the power system of Figure Q4.1, all per unit quantities have been calculated using a common base. The generator delivers power ??∞=1 ??.??. at a lagging power factor of ????????=0.93. i) Calculate the internal voltage of the generator, the maximum electrical power that the generator can deliver to the system during the steady state operation and the steady state rotor angle, ??0, of the generator.ii)A three-phase fault occurs at busbar 3 and it is cleared by simultaneously disconnecting lines 13 and 23. Following the fault clearing, the system continues to operate with only line 12 in service. Determine the new steady state rotor angle, ??1, of the generator and the maximum power the generator can deliver to the system post fault.iii)Assuming that the post fault condition is small disturbance stable and that there is no negative interaction among system controllers, calculate the critical clearing angle, ??????, at which the fault should be cleared to ensure the generator reaches…A simple power system is shown in this Fig. The generator (480 V, 10 kVA) is connected to an ideal step-up transformer (1:10), a transmission line (R=20 Ohm and X=60 Ohm), step down transformer (20:1) and a load with magnitude Z=10 Ohm and angle =30 degree the base values for this system are chosen to be 480 V and 10 kVA at the generator. Calculate the per-unit impedance of the load. Calculate the per- unit current in the line Select one: a. 1.43 A b. 0.569 A c. None of the above d. 2.01A simple power system is shown in this Fig. The generator (480 V, 10 kVA) is connected to an ideal step-up transformer (1:10), a transmission line (R=20 Ohm and X=60 Ohm), step down transformer (20:1) and a load with magnitude Z=10 Ohm and angle =30 degree the base values for this system are chosen to be 480 V and 10 kVA at the generator. Calculate the 1/per-unit impedance of the load 2/per-unit current in the line 3/ per-unit real power absorbed by the load
- A power plant comprises three turbine-generators rated 1000 MW, 800 MW and 500 MW respectively. The regulation constant of each generator is 0.05 pu based on its own rating. Each unit is initially operating at one-half of its own rating, when the system load suddenly increases by 300 MW. Calculate the following:a) Per-unit area frequency response characteristic on a 1000 MW system base.b) Steady-state drop in area frequency [CR4]c) The share of the load increase on each generator.d) Total load on each generator after the increase in system load.Assume the reference power setting of each turbine is unchanged.1)For the following control system, use the Routh-Hurwitz criterion to determine if it is stable.If it is unstable, state the number of poles in the RHP, LHP and on the jwaxis R(s)—% 1 ‘ Ts(2s'+3s°+ 257 + 35 + 2) Y(s)electrical machines 3. 400 V 50 Hz, Y-connected, 6-pole synchronous generator per phase synchronous reactance 1.0 Ω at back power factor of 0.9 full load armature current 50 A, friction and wind losses 1.25 kW and core losses at 50Hz full load 1.0 kW and armature resistance and loss are neglected. The excitation current is adjusted so that the no-load output voltage is 400V. According to this; a) Calculate the rotation speed of the generator. b) find the terminal voltages at load with rated current at 0.8 back power factor and unit power factor . c) Calculate the voltage regulation of the generator for power coefficients of 0.8 back and 1.0.