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A general steady-state analysis of a three-phase self-excited induction generator (SEIG) feeding a three-phase unbalanced load or single-phase load is presented. Symmetrical component theory is used to obtain relevant performance equations through sequence quantities. While the analysis of the system is inherently complicated due to unbalance and magnetic saturation, valid simplifications incorporated in the equivalent circuit for both forward and backward fields result in manageable equations suitable for computer simulation. Suitable non-linear parameters are chosen corresponding to appropriate saturation levels. Using this technique a 7.5 kW, 415/240 V, fourpole, threephase induction motor operated as a SEIG is analysed tinder different unbalanced loads and compared with experimental results. The fcasibility of using three-phase machines for such unbalanced operations has been critically examined for stand-alone power generation. List of a operator c'' B susceptance C capacitance G conductance F,v p.u. frequency and speed I current R resistance V voltage to,. rotor speed X reactance of load Y admittance of load Z impedance Suhcripts a. b and c phases L load g airgap 1, 2 and 0 positive, negative and zero s and r stator and rotor 1 and m leakage and magnetising TEE Prrwwdingi online no. 200300072 dol: IO. IM9/ip-gtd2003007: Paper firs1 received 15th April 2002 and in revised form 2nd October 2002 S.S. Munhy is with the Department of Eleclrical Enginimfing, Indian Instilute of Technology Dclhi. Hailz Khas. New Delh~ ~110016. India B Singh is with lhe Dsparlment of Elmtfial Eneneefing. Indian lnstiililt of Technology. tklhi. Hiiur Khas. New Dulhi-l lOo16. India S. Gupla is with the DcpilRment of El~lficill Engineaing. Indian lnsiiiute of Technology, Dclhi. Hsur Khas. h'cw Drlhi-l llnl6. India B.M. Gulati is with the Farakka Super Thennd Power Station. NTPC LTD.. P.O. Nabarun. Diil. Murrhidahad W. B. 742236, India

General steady-state analysis of three-phase self-excited induction generator feeding three-phase unbalanced load/single-phase load for stand-alone applications