Power in balanced three-phase circuits, Electrical Engineering

Assignment Help:

Power in Balanced Three-Phase Circuits

The total power delivered by a three-phase source, or consumed by a three-phase load, is found simply by adding the power in each of the three phases. In a balanced circuit, however, this is the same as multiplying the average power in any one phase by 3, since the average power is the same for all phases. Thus one has

P = 3 VphIph cos φ

where Vph and Iph are the magnitudes of any phase voltage and phase current, cosφ is the load power factor, and φ is the power factor angle between the phase voltage ¯Vph and the phase current ¯ Iph corresponding to any phase. In view of the relationships between the line and phase quantities for balanced wye- or delta-connected loads, Equation can be rewritten in terms of the line-to-line voltage and the line current for either wye- or delta-connected balanced loading as follows:
P = √3 VLILcos φ

where VL and IL are the magnitudes of the line-to-line voltage and the line current. φ is still the load power factor angle as in Equation, namely, the angle between the phase voltage and the corresponding phase current.


Related Discussions:- Power in balanced three-phase circuits

Derive the expression for steady state error, Derive the mathematical expre...

Derive the mathematical expression for steady state error of first order system with unit ramp signal. Discuss the following - proportional cum integral control - proporti

Estimate the maximum number of conversions, Q. The speed of an 8-bit A/D co...

Q. The speed of an 8-bit A/D converter is limited by the counter, which has a maximum speed of 4 × 10 7 counts per second. Estimate the maximum number of A/D conversions per secon

Draw the timing diagram for the first input pulses, Given the block diagram...

Given the block diagram of a synchronous counter shown in Figure (a), draw the timing diagram for the first input pulses, with Q 1 , Q 2 , and Q 3 initially at 0.

Explain power-system loads, Q. Explain Power-System Loads? Figure repre...

Q. Explain Power-System Loads? Figure represents a one-line (single-line) diagram of a part of a typical three-phase power system. Notice the symbols that are used for generato

What is output impedance, Q. What is Output Impedance? Output Impedance...

Q. What is Output Impedance? Output Impedance : The output impedance of an amplifier is a measure of the impedance or resistance. It has nothing to do with the actual loading t

Write a short note on the working of darlington amplifier, Q. Write a sho...

Q. Write a short note on the working of Darlington Amplifier? A Darlington Amplifier is one that is employing the Darlington pair of transistors. It is a

Define amplification factor and drain resistance, Q. Define amplification f...

Q. Define amplification factor, drain resistance and transconductance and derive the relationship between drain resistance and trans conductance? Drain resistance It is the

Balanced delta-connected load, Q. A balanced delta-connected load with a pe...

Q. A balanced delta-connected load with a per-phase impedance of 12 + j9  is supplied by a 173-V, 60-Hz three-phase source. (a) Determine the line current, the power factor, th

Explain basic working of transport layer, Q. Explain basic working of Trans...

Q. Explain basic working of Transport Layer? It is responsible for establishing a network independent communication path appropriate for the specific terminal equipments (for exa

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd