Formulas for multiplication factor for Resistace on higher order harmonics
For the 2-winding transformer, induction motor and generator, the factor is:
(1.0 + 0.1*Norder^1.5), where Norder is the order of the harmonics.
HVDC-AC Harmonic Interaction Part II -AC System Harmonic Model with Comparison of Calculated and Measured Data
Breuer, G.D.; Chow, J.H.; Gentile, T.J.; Lindh, C.B.; Addis, G.; Lasseter, R.H.; Vithayathil, J.J.;
Power Apparatus and Systems, IEEE Transactions
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)
(1.0 + 0.1*Norder^1.5), where Norder is the order of the harmonics.
HVDC-AC Harmonic Interaction Part II -AC System Harmonic Model with Comparison of Calculated and Measured Data
Breuer, G.D.; Chow, J.H.; Gentile, T.J.; Lindh, C.B.; Addis, G.; Lasseter, R.H.; Vithayathil, J.J.;
Power Apparatus and Systems, IEEE Transactions