In an AC electrical system, ___ are a distortion of the sisusodial voltage and currents
Harmonics
As harmonics number increases their associated ___ ___
Frequency increases
Harmonics found on electrical systems can be?
Even or odd.
Mostly odd
Odd harmonics are generated by?
Non linear loads
What causes additional heating in an electrical system and reduces efficiency?
Odd harmonics
What is a set of harmonics that present additional challenges in the phase systems?
Triplin harmonics
They are multiples of threes
Harmonics in power systems are relevant up to the __ harmonic
50th harmonic (3000 Hz)
What happens when more and more harmonics are added to the fundamental frequency?
The sine wave becomes squarer
How do you calculate the sum of harmonics?
And the total effective value of the system?
For the total effective value the system you use the same calculation and add on the voltage of the system squared.
How do you calculate total harmonic distortion?
Eh = total harmonic V
Ef = fundamental V
What is the ideal value for the crest factor of a sin wave?
1.414
Do all electrical systems possess harmonics?
Yes
Any device that has its impedance effected by the voltage applied is?
A non linear impedance
Arcing equipment in electrical systems can be a significant source of harmonics.
What are 3 common arcing equipments?
Arc furnaces
Welding machines
Electric discharge machining
When either voltage or current harmonics are present what happens?
One will caus the other to occur in the system
Harmonic distortion in systems can lead to?
Electromagnetic interference
Voltage distortions of __ to __ can caus excessive RMS currents of __ to __
5% to 10%
10% - 50%
What are the primary effects of voltage harmonics on electrical equipment?
Can caus insulation damage
How do harmonics affect the power factor of an electrical system?
It increases the reactive power which lowers the power factor
Measuring harmonics.
What do the ranges mean?
Voltage
0-5% - normal
5-8% - significant
8% and up - major
Current
0-10% - normal
10-50% significant
50% and up - major
What are two types of harmonic filters?
Passive
Active
Passive filters consist of?
Inductor
Capacitors
Resistors
What are 3 types of active filters
Series
Shunt
Hybrid
What are the 3 transformer connections used for harmonic control?
Delta wye
Wye delta
Zig zag connection