Analysis of Faulted Power Systems (IEEE Press Series on by Paul M. Anderson

By Paul M. Anderson

This vintage textual content provides you with the main to realizing brief circuits, open conductors and different difficulties on the subject of electrical energy structures which are topic to unbalanced stipulations. utilizing the tactic of symmetrical parts, stated professional Paul M. Anderson presents complete tips for either discovering ideas for faulted energy platforms and protecting protecting process purposes. you will discover ways to clear up complex difficulties, whereas gaining a radical historical past in effortless configurations.

Features you are going to placed to speedy use:

  • Numerous examples and problems
  • Clear, concise notation
  • Analytical simplifications
  • Matrix equipment acceptable to electronic desktop technology
  • Extensive appendices

Diskette documents can now be came upon by means of coming into in ISBN 978-0780311459 on booksupport.wiley.com.

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Extra resources for Analysis of Faulted Power Systems (IEEE Press Series on Power Engineering)

Example text

409 + J· 0 • 198 5 pu IM = = V* 20( 1 . 4 I = L 20( 1 . 1455 - J·0 . 213 pu. Note that the transmission line impedance is negligible because the base is small and the line voltage high for the small power in this problem. Thus the generator bus voltage is Vg = 1 . 08 + jO . 7 Phasor Notation In this book we will deal with voltages and currents which are rms phasor quantities. This implies that all signals are pure sine waves of voltage or current but with the time variable suppressed. Thus only the magnitude (amplitude) and relative phase angle of the sine waves are preserved.

Special case 2--equal impedance. In many problems the self or mutual im­ pedances may be equal in all three phases. 47 ) and ( 2. 48) become ZSO = Zaa ZS l = ZS2 = 0 ( 2 . 50) and ZMO = Zb c ZM I = ZM2 =0 ( 2. 46), w e note that the simultaneous application o f ( 2 . 50 ) and (2. 51 ) eliminates the off-diagonal terms of Zm n-o l 2 ' This means that Zmn - o l 2 is not only reciprocal but that there is zero coupling between sequences. 5 1) alone will still result in a nonreciproc al Zm n- O I 2 ' Special case 3-symmetric impedance.

1 7 ) becomes Val + Va = VaO + Vb = Va O an-I Val + Ve = Va O an-2 Val + Vn = VaO or in matrix form Va Vb Ve ++ + Va (n- I ) Va 2 + . . + n 2 + . . a a Va2 + Va (n-l ) n 2 . . a -4 Va 2 + + a Va ( n- I ) a Val + a2 Va 2 + . . + an- I Va ( n- J ) 1 1 1 1 1 an - I an - 2 an - 2 an - 4 1 a a2 . . . .. . . . . . . . VaO Va l Va2 an - I a a Vn 1 Va (n - I ) This is identical with ( 2 . 1 2 ) V = A V from which we conclude that 2 1 1 A= 1 1 1 1 an - I an - 2 an - 2 an - 4 a ( 2. 2 Symmetrical Components of a Three-Phase System The n-phase system described in the preceding paragraph is of academic inter­ est only .

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