New terminology is introduced to make clear the relationship between harmonics and symmetrical components. Three-phase sets are classified in terms of symmetrical sets and asymmetrical sets. Subclasses are introduced with the names symmetrical balanced sets, symmetrical unbalanced sets, asymmetrical balanced sets and asymmetrical unbalanced sets to show that a three-phase set can resolve to either one, two or three symmetrical component sets. The results from four case studies show that these subclasses and their resolution to symmetrical component sets improve understanding of harmonic analysis of systems having balanced and unbalanced harmonic sources and loads.
IEEE Recommended Practice for Electric Power Distribution for Industrial Plants, IEEE Standard 141, (1993), 447–448.
2.
MasseyG. W., ‘Power distribution system design for operation under non-sinusoidal load conditions’. IEEE Trans. Ind. Applic.31 (1995), 513–514.
3.
IEEE Standard Dictionary of Electrical and Electronic Terms, IEEE Standard 100, (1996), pp. 73, 74, 681, 768, 796, 976, 1073, 1215.
4.
DuganR. C.McGranaghanM. F.BeatyH. W., Electrical Power Systems Quality (McGraw-Hill, New York, 1996), pp. 172–174.
5.
BlackburnJ. L., Symmetrical Components for Power System Engineering (Marcel Dekker, New York, 1993), pp. 37–38.
6.
KimbarkE. W., Power System Stability, Power System Series, vol. 1 (IEEE Press, New York, 1995), pp. 193–196.
7.
RoeperR., Short Circuit Currents in Three-Phase Networks (Siemens & Pitman Publishing, London, 1972), p. 8.
8.
StubbingsG. W., Elements of Symmetrical Component Theory (Isaac Pitman & Sons, London, 1937), p. 25.
9.
Del ToroV., Electric Power Systems (Prentice Hall, Englewood Cliffs, NJ1992), p. 372.
10.
LyonW. V., Applications of the Method of Symmetrical Components (McGraw-Hill, London, 1937), p. 18.
11.
ArrillagaJ.SmithB. C.WatsonN. R.WoodA. R., Power System Harmonic Analysis, John Wiley & Sons, England, (1997), pp. 2, 35, 136.
12.
KempP., Alternating Current Electrical Engineering (McMillan, London, 1958), pp. 170–171.
13.
IEEE Tutorial Course, Power System Harmonics, IEEE Service Centre, Piscataway, (1984), pp. 10, 73–79.
14.
CarlsonA. B., Circuits (John Wiley & Sons, New York, 1996), p. 243.
15.
Electrotek Concepts, Superharm User's Guide, Version 4.0, (1999), pp. 3–14, 3–16, 3–29.
16.
DigSilent Power Factory software Manual, Verion 11.1, 1999, pp. 12–16.
17.
IEEE Recommended Practices and Requirements for Harmonic Control in Electrical Power Systems, IEEE Standard 519, (1992), pp. 27, 35.
18.
University of Manchester Institute for Science and Technology and Electrotek Concepts Power Quality Workshop Notes, Manchester Centre for Electric Energy, Harmonic Sources, Session 2C, Table 11, May 1999.
