The K-factor is a weighting of harmonic load currents according to their effect on transformer heating, based on ANSI/IEEE Std C57.110. The K-factor is used by transformer manufacturers to adjust the load rating as a function of the harmonic currents caused by the load. K-factor is calculated automatically by some meters. For example, if your load is 10 kVA with a harmonic content that has a K-factor of 2.5 using C57.110 ¶5.3 or as measured by a harmonic test meter, you can use a standard 25 kVA transformer or a 10 kVA transformer with a K-factor of 2.5.
As far as I can tell, there is no Table 11 in IEEE Std 519-1992 or any mention of K-factor.
For me the K-Factor is one of typical integral factors engineers in America like to describe complex phenomena in one number - like THD and similar. The K-factor approach is totally misleading because it ignores the impact different transformer winding design, different harmonic spectra and different ratings can cause. If you realy want to understand the topic refer to the IEC standards for rectifier transformers.
