Two load are connected across a 3-phase, 440 V, abc source. Load 1 is a 3-phase, 440 V, 10hp induction motor with a power factor of 75% and efficiency of 89% . Load two is a synchronous motor, with a power factor of 0.90 leading and an efficiency of 86%. If the combined loads has a total power factor of 95% lagging, determine: a. the hp rating of the synchronous motor. b. The total line currents of the improved power factor system. c. The equivalent impedance with angle per phase connected in wye corresponding to the sy

Two load are connected across a 3-phase, 440 V, abc source. Load 1 is a 3-phase, 440 V, 10hp induction motor with a power factor of 75% and efficiency of 89% . Load two is a synchronous motor, with a power factor of 0.90 leading and an efficiency of 86%. If the combined loads has a total power factor of 95% lagging, determine: a. the hp rating of the synchronous motor. b. The total line currents of the improved power factor system. c. The equivalent impedance with angle per phase connected in wye corresponding to the sy

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.21P: An industrial plant consisting primarily of induction motor loads absorbs 500 kW at 0.6 power factor...

See similar textbooks

Similar questions

A 400-V, 50 Hz, 20 Hp 3Φ star-connected synchronous motor has a full-load efficiency of 88%. The synchronous impedance of the motor is (0.8 + j4) Ω per phase. Calculate for full load (a) the emf across the terminals and (b) the angle of retard if the motor operates at 0.9 leading power factor. As a hint, the answer for b is 21.37 degrees, justify (a) and (b)
A single-phase synchronous motor having a synchronous reactance of 5 ohms and negligible resistance is connected across a 2200-V supply. If the input power remains constant at 100 kW, calculate the generated e.m.f. when the power factor is 0.8 leading. Sketch the phasor diagram.
4 DECIMAL PLACES : 1. A single-phase motor has stator windings in space quadrature and is supplied with a single-phase voltage of 200 V at 50 Hz. The standstill impedance of the main winding is (5.2 + j10.1) and of the auxiliary winding is (19.7 + j14.2). Find the value of capacitance to be inserted inthe auxiliary winding for maximum starting torque.
The output of 2200 Volts three phase induction motor used in a factory is800 HP. If the average p.f. is 0.8. Assume an average efficiency for themotor of 90 % (a) find the line current and kVA capacity of the generatorsupplying the factory. (b) If 400 HP of this load is noe supplied bysynchronous motor operating at 0.8 leading p.f. find the reduction in linecurrent and kVA capacity of generator.
A three-phase 500-hp, 60-Hz , 4.16kv Y-connected induction motor has a full-load efficiency of 88%, 0.75 power factor, and is connected to a feeder. If it is desired to correct the power factor of the load to a lagging power factor of 0.9 by connecting three capacitors at the load, determine the following:a) The rating of the capacitor bank in KVarb) The capacitance in μF of each unit if it is connected in deltac) The capacitance in μF of each unit if it is connected in wye.
) A 430V, 3-phase Induction motor has output of 36HP and operates at power factor of 0.8 lagging with an efficiency of 84%. Calculate the reading on each of the two wattmeter connected to measure the input. The value of P1 is = The value of P2 is = C2 (ii) Three inductive coils each of inductance 58 mH are connected in star to a 3 phase 215V, 50 Hz supply. Calculate the inductance of each coil, which when connected in delta to the same supply will take the same line current. Reactance Xc is = The Inductance L =
A three-phase, Y-connected load takes 50 A current at 0.707 lagging power factor at 220 V between the lines. A three-phase Y-connected round-rotor synchronous motor, having a synchronous reactance of 1.27 ohm per phase, is connected in parallel with the load. The power developed by the motor is 33 kW at a power angle of 30°. Neglecting the armature resistance, calculate (a) the reactive kVA of the motor, and (b) the overall power factor of the motor and the load.
Measured in the idle test of a three-phase star-connected induction motordata: 300 V / 2.2A / 145 W. In the short circuit test, 60 V / 25 A /680 W data measured. L type equivalent circuit for case where slip is 3%Find the current ( I2) flowing through the load resistor that varies due to shear.and obtain the electrical equivalent circuit of the motor in this state. Whole circuitto obtain the values of the elements properly andDraw the L-type electrical equivalent circuit by writing on the elementsMake your calculations and drawings legible. You find
3. A group of induction motors rated 2200-V, 3-phase, 60 Hz delivers a total of 600 HP and is operating at an average power factor of 0.8 lagging. If half of this total load is replaced by a group of synchronous motors operating at 0.8 leading, determine the difference in the line current? Assume all motors operate at an average efficiency of 90%.
The input to 6600-V, 3-phase, star-connected synchronous motor is 900 kW. The synchronous reactance per phase is 20 Ω and the effective resistance is negligible. If the generated voltage is 8,900 V (line), calculate the motor current and its power factor.
1. A 3phase induction motor load draws a power of 13.33 KVA at 0.75pf from 460V source. If a synchronous motor with 90%pf leading is connected in parallel to the induction motor to improve the overall power factor to 80% lagging, calculate the required KW of the synchronous motor.
Two alternators A and B are in parallel and supplying a 600-V,60 Hz bus load consisting of a 270 kVA unity power factor load a group of induction motors totaling 420 kVA at 89.4 percent power factor and a synchronous motor that draws 300kVA at 92.3 percent power factor leading. If the machine A is carrying 60 percent of the total active power load at a power factor of 70.4 percent lagging, determine the active and reactive components supplied by machine B.