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Harmonic analysis

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Harmonics have become one of the most critical issues in power systems due to the high penetration of them and the magnitudes. This is particularly critical in distribution systems. Harmonics create problems that affect considerably the power quality of a system and therefore are treated in that field. Power quality can be defined as the goodness of the electric power quality supply in terms of its voltage waveshape, its current waveshape, its frequency, its voltage regulation, as well as level of impulses and noise, and the absence of momentary outages. Other definition defines power quality as the measure, analysis, and improvement of bus voltage, usually a load bus voltage, to maintain that voltage to be a pure sinusoid and at rated levels of voltage and frequency. A proper quality level is ultimately a compromise of the utility, the end user, and the equipment manufacturer. Power quality involves several categories of phenomena, which are better presented in Table 8.1. The categories and characteristics are presented in Table 8.2 taken from the IEEE Standard 1159-2009. Category 5 deals with waveform distortion that includes the harmonic handling, which is the topic developed in this chapter.

Chapter Contents:

• 8.1 General considerations about harmonics
• 8.2 Mathematical background
• 8.3 Verification of harmonic values
• 8.4 Parallel resonance
• 8.5 Series resonance
• 8.6 Validation of harmonic values
• 8.6.1 Harmonic limits
• 8.6.2 Voltage distortion limits
• 8.6.3 Current distortion limits
• 8.7 Verification of harmonic values
• 8.8 Resizing and relocation of capacitor banks
• 8.9 Models
• 8.9.1 Harmonic sources
• 8.9.2 System model
• 8.9.4 Branch model
• 8.10 Derating transformers

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