SUMMARYResearch has been conducted in high phase order (HPO) power transmission wherein 6 or 12 phases are used to transmit power in less physical space and with reduced environmental e!ects than conventional designs. In this paper, existing 3-phase double circuit transmission lines (TL) are recon"gured to 6-phase systems for the purpose of calculating and comparing the magnetic "eld of both systems. The magnetic "eld of several single-phase con"gurations; #at, vertical, delta and inverted-delta with the same degree of compaction is calculated and analysed at 1 m height above the ground level. The magnetic "eld of the inverted-delta arrangement, which showed the lowest "eld pro"le, is compared with the magnetic "eld of 6-and 12-phase TLs having the same degree of line compaction and current loading conditions. The three systems are analysed when their lowest conductors had the same clearance to ground in one case and when their highest conductor positions were matched in another case. A comparison between 12-, 6-and 3-phase double circuit TLs having the same degree of compaction, the same phase voltage, the same clearance to ground and the same current per conductor is made to demonstrate if HPO lines reduce "elds or not. The 6-and 12-phase lines are raised while keeping their conductors within the space, which would be taken by the conductors of the double circuit line. In this case, the highest conductor positions of the two systems are matched and the magnetic "eld is recomputed to conclude the results. The vector magnetic "eld potential concept, as extended to HPO transmission lines, together with a #exible developed computer program are used to calculate and present the magnetic #ux density components pro"les around the mentioned systems.