1. Fundamentals of Harmonics

2. Overviews Definitions and Nonlinear Loads Harmonics Power Quantities
Harmonic Sequences
Triplen Harmonics
Harmonics Indices
Harmonic Sources
Classical Sources and Power Electronics
Locating Harmonic Sources
Impacts of Harmonics
Interharmonics

3. 1.1 Nonlinear Loads Fundamentals of Nonlinear Loads
Fourier representation

4. 1.2 Harmonic Phenomena Harmonics in voltage and current CAUSE: Current
Effect: Voltage

5. Examples of Harmonics I

6. Examples of Harmonics II

7. Examples of Harmonics III

8. Harmonics versus Transients

9. Power Factor
Consider first a sinusoidal voltage and current

10. RMS
In case of harmonics,

11. Harmonic Phase Sequences
In a balanced three-phase circuit:
the fundamental defines the positive phase sequence (or rotation) such as ABC or xyz or 321, and the 4th, 7th, 10th, …, are also positive sequence
the 2nd, 5th, 8th, 11th ,…, are negative sequence (eg CBA)
the 3rd, 6th, 9th, …, are zero seq (all in phase)

12. 1 + 2 - 3 4 5 6 7 8 9 10 1 + 3 5 - 7 9 11 13 15 17 19

13. Triplen harmonics
Harmonic order h values that are multiples of 3 are called triplen harmonics
If the three phase circuit is balanced, the triplen harmonics are all in phase (zero sequence)
triplen harmonic line currents will be additive at the neutral of a wye circuit by KCL (zero triplens if three-wire ungrounded wye or if delta)
triplen harmonic line-line voltages will be zero by KVL

14. Transformer

15. Harmonic Indices
Total harmonic distortion = THD

16. Harmonic Indices
Total demand distortion = TDD

17. Harmonics Sources Conventional Sources Industrial Sources
Single-phase power supplies
Fluorescent lighting
ASD for HVAC and elevators
Industrial Sources
Power converters
DC and AC drives
Saturable devices

18. 4.1.1 SMPS

19. 4.1.2 Fluorescent lighting

20. Power Converter