Power Systems A source supplies power to the following three Loads connected in parallel 1. A Lighting load drawing 10 kW at unity power factor 2. An induction motor drawing 20 kVA at 0.8 power factor lagging 3. A synchronous motor operating at 30 kVA, at an unity power factor If P is the real power and Q is the reactive power delivered by the source then:

Power Systems A source supplies power to the following three Loads connected in parallel 1. A Lighting load drawing 10 kW at unity power factor 2. An induction motor drawing 20 kVA at 0.8 power factor lagging 3. A synchronous motor operating at 30 kVA, at an unity power factor If P is the real power and Q is the reactive power delivered by the source then:

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 2.24P: A source supplies power to the following three loads connected in parallel: (1) a lighting load...

See similar textbooks

Similar questions

Under balanced operating conditions, consider the three-phase complex power delivered by the three-phase source to the three-phase load. Match the following expressions, those on the left to those on the right. (i) Realpower, P3 (a) (3VLLIL)VA (ii) Reactive power, Q3 (b) (3VLLILsin)var (iii) Total apparent power, S3 (c) (3VLLILcos)W (iv) Complex power, S3 (d) P3+jQ3 Note that VLL is the rms line-to-line voltage, IL is the rms line current, and is the power-factor angle.
The voltage v(t)=359.3cos(t)volts is applied to a load consisting of a 10 resistor in parallel with a capacitive reactance XC=25. Calculate (a) the instantaneous power absorbed by the resistor, (b) the instantaneous power absorbed by the capacitor. (c) the real power absorbed by the resistor, (d) the reactive power delivered by the capacitor, and (e) the load power factor.
A source supplies power to the following three loads connected in parallel: (1) a lighting load drawing 10kW. (2) an induction motor drawing 10kVA at 0.90 power factor lagging, and (3) a synchronous motor operating at 10hp,85 effIciency and 0.95 power factor leading (1hp=0.746kW). Determine the real, reactive, and apparent power delivered by the source. Also, draw the source power triangle.
An industrial plant consisting primarily of induction motor loads absorbs 500 kW at 0.6 power factor lagging. (a) Compute the required kVA rating of a shunt capacitor to improve the power factor to 0.9 lagging. (b) Calculate the resulting power factor if a synchronous motor rated at 500 hp with 90 efficiency operating at rated load and at unity power factor is added to the plant instead of the capacitor. Assume constant voltage (1hp=0.746kW).
Is the power factor in Question 6 a leading or lagging power factor? Explain your answer.
Consider a single-phase load with an applied voltage v(t)=150cos(t+10)volts and load current i(t)=5cos(t+50)A. (a) Determine the power triangle. (b) Find the power factor and specify whether it is lagging or leading. (c) Calculate the reactive power supplied by capacitors in parallel with the load that correct the power factor to 0.9 lagging.
The instantaneous voltage across a circuit element is v(t)=400sin(t+30)volts, and the instantaneous current entering the positive terminal of the circuit element is i(t)=100cos(t+10)A. For both the current and voltage, determine (a) the maximum value, (b) the rms value, and (C) the phasor expression, using cos(t) as the reference.
The real power delivered by a source to two impedances, Z1=4+j5 and Z2=10 connected in parallel, is 1000 W. Determine (a) the real power absorbed by each of the impedances and (b) the source current.
In an energy transmission system with a power value of 100 MVA and a power coefficient of 0.8 reverse (inductive), the generator in a hydroelectric power plant was operated as an over-excited synchronous motor for grid power compensation and was connected to this system as a capacitive load of approximately 40 MVAR. Show the active, reactive and apparent powers on the phasor diagram (power triangle) and calculate the new power factor after the synchronous capacitor is connected.
1. Solve for the equivalent impedance and admittance seen at the source. Solve for is(t). 2. A load Z draws 12 kVA at a power factor of 0.856 lagging from a 120-Vrms sinusoidal source. Calculate: (a) the average and reactive powers delivered to the load, and (b) the peak current.
Between the terminals a and b in the figure, there is a load formed by connecting the resistor R0 and inductance L0 in series. The amplitude of the voltage Vs (t) is √2 150 volt phase angle Qs = 0 degree period T = 200π microseconds. Since R = 300ohm and C = 1 microfarad A) If the load phase angle QL = 30 degrees, find the values of R0 and L0 that enable the load to draw the maximum average power from the circuit. =? B) Calculate the average power on the load. =?
Consider the circuit shown. Find the following: a. Total load impedance seen by the voltage source. b. Complex power delivered by the source. c. Average power delivered by the source. d. Reactive power delivered by the source. e. Load power factor and power factor angle.