A 100 MVA, 11 kV, 3-phase, 60 Hz, 2- pole synchronous generator operates in parallel with 11 kV bus of infinite bus power system, by assuming H=5 MJ/MVA. If the input power from prime mover is 80 MW and the generator operates at 80% of full load at 0.9 pf lagging, the acceleration of the machine will be 1.8 radian/second^2 0.8 radian/second^2 2.8 radian/second^2 144 degree/second^2
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- 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 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.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 stability
- QUESTION 1:- (a) A 4-pole, 3-phase, star-connected, 50 Hz synchronous generator, with a synchronous impedance of j24.5 Ω/phase and negligible resistance, delivers 5 MW of power to a 13.8 kV busbar. At this operating point, the excitation is equal to 1.8 p.u. Calculate the phase value of the generated emf (E) and hence calculate the electrical load angle, δ, at which the machine is operating. (b) Sketch a typical operating chart for a salient pole synchronous generator and on the chart identify the following; The Apparent Power limit, The field (excitation) limit, The Real Power limit, A line which represents a constant lagging power factor, The rotor angle for operation at any given point of operation, e.g. rated power and 0.9 power factor lag. (c) A Stamford HCI534F framesize generator has been selected for a stand-alone diesel-generation application. The generator is to operate at 400 V, 50 Hz, with the self-excited (SX) excitation scheme. Datasheet information can be…A three-phase synchronous generator is rated 60 MVA, 11 kV. It has an armature resistance ra = 0.1 pu and synchronous reactance xS = 1.65 pu. It is feeding into an infinite bus at 11 kV delivering a current 15 kA at 0.9 power factor lagging. (a) Determine internal voltage (E) and power angle (δ). (b)Draw a vector diagram for this operation and state operating mode of the generator.(c) Infinite bus voltage falls to 10 kV while the mechanical power input to generator and itsexcitation remains unchanged. What is the value of the current, power factor and reactivepower delivered to the infinite bus.Per-unit values are given on machine rating as the base.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.
- Calculate for full-load and unity p.f., the natural period of oscillation of a 50-Hz, 10,000-kVA, 11-kV alternator driven at 1500 r.p.m. and connected to an infinite bus-bar. The steady short-circuit current is four times the full-load current and the moment of inertia of the rotating mass is 17,000 kg-m2. ANSWER IS [1.148 second]2) A three-phase, 60 Hz synchronous generator in Fig. 1 delivers 0.9 per-unit real power at 1.08 perunit terminal voltage to an infinite bus with voltage of 1.0 pu. The reactance data for the powersystem is given in per unit on a common base and shown in Fig. 1. Determine:a) the reactive power output at the terminal of the generator and reactive power delivered tothe infinite bus;b) the generator internal voltage (E′);c) determine and plot an equation for electrical power delivered by the generator to the infinitebus versus angle δ.Note: E′ is internal voltage behind transient reactance x′dA Turgo type hydro-electric plant uses a 92% efficiency generator to produce its rated output of 32.5 MW. It was observed during its operation that the mechanical loss is 4.25 MW. Also, from the penstock down to the turbine, 14.3% hydraulic head loss and 8.9% leakage loss occurs which are equally distributed and based on the parameters at the dam. The average elevation from the headrace to the jet centerline is 40 m and from the tailrace to the jet centerline is 4.5 m. compute the following: a. Power by the turbine, kW b. Volume flow rate at the source, m3/s c. Power by the jet, kW d. Mechanical Efficiency, %
- 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 1/per-unit impedance of the load 2/per-unit current in the line 3/ per-unit real power absorbed by the loadA 10 000 kVA, four-pole, 6,6 kV, 50 Hz, three-phase alternator has a synchrono usreactance of 25% and is connected to infinite bus bars. If the natural period ofoscillation while operating at full- load unity power factor is to be limited to 1,5 s,calculate the moment of inertia of the rotating system.A 45-MVA, 41.57-kV, three-phase round-rotor synchronous generator has a synchronous reactance of 9 ohm per phase and negligible armature resistance. It supplies a load which is connected to an infinite bus as shown in Fig. 1. 1) Determine the magnitude of the generated emf per phase and the power angle δ when the generator is supplying a 28-MW load at 0.76 power factor lagging at 95% of the rated terminal voltage. 2) Draw a phasor diagram showing the magnitude and relationship between the generated emf, the generator terminal voltage and the armature current for the operating condition in Part 1. 3) The generator is delivering 22 MW to the bus bar at 95% of the rated voltage with its field current adjusted for a generated emf of 25 kV per phase. Find the voltage regulation, the armature current, and the power factor for this operating condition.