The development of high-power semiconductor devices such as GCTs and IGBTs/IEGTs has spurred interest in utility applications such as large-capacity self-commutated BTB (Back-To-Back) systems. Fig. 1 shows a feasible circuit configuration of a 50-MW BTB system intended for power flow control between transmission networks. The BTB system consists of two sets of four three-phase NPC (Neutral-Point-Clamped) voltage-source converter-cells and their corresponding three-phase converter transformers, and common dc capacitors. A PWM (Pulse-Width-Modulation) control with a carrier frequency of 450 Hz is applied to each converter-cell for power flow control. Fig. 2 shows simulated waveforms at p * = 50 MW and q * = 0 under a single-line-to-ground (SLG) fault condition. Self-commutated BTB systems have an attractive feature of reliable and continuous operation against SLG faults. However, a dc magnetic deviation appears in φ 2uv , a linkage flux of the converter transformers, just after occurrence and restoration of the fault. It is indispensable to understand an amount of deviation because it may bring magnetic saturation as well as a large amount of magnetizing current to the transformers. It is pointed out that the deviation strongly depends on the depth of voltage sags. However, no relationship between the depth and the deviation has been addressed from a theoretical point of view.The aim of this paper is to achieve elucidation of the dc magnetic deviation during SLG faults. This paper derives theoretical equations related to an amount of deviation during the fault. The following conclusions are obtained from the equations.( 1 ) A peak value of the linkage flux during the SLG fault can be twice larger than that of the normal operation. ( 2 ) The voltage depth is an unique factor that determines an amount of magnetic deviation. These conclusions would make significant contributions to designing the converter transformers used for the BTB system. The validity and effectiveness of the theory developed in this paper is confirmed by computer simulation using the "PSCAD/EMTDC" software package.-11 -