Problem 7.8: Harmonic Power Flow with one Nonlinear Bus and Two Sets of Harmonic Nonlinear Device Currents

To the three-bus system of Fig. P7.8 apply the Newton–Raphson harmonic load flow analysis technique. Assume that bus 1 is the swing or slack bus, bus 2 is a linear PQ bus, and bus 3 is a nonlinear bus, where the fundamental real and reactive powers are specified. In addition, at bus 3 the real and imaginary harmonic nonlinear device currents are given as

gr,35=|V~31|cosδ31+|V~35|2cos2δ35+|V~37|cosδ37,

si711_e  (P8-1a)

gi,35=|V~31|sinδ31+|V~35|2sin2δ35+|V~37|sinδ37,

  (P8-1b)

gi,37=|V~31|cosδ31+|V~35|cosδ35+|V~37|2cos2δ37,

  (P8-2a)

gi,37=

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