Overloading algorithm of synchronous generators under unbalanced steady state operation

In order to analyze the problem of synchronous machines under unbalanced steady state operation, the relationships of fundamental-harmonic waves (RFHW) between phase and dq 0 coordinates are proposed in this paper by utilizing Park and its reverse conversion. Utilizing the matrix overloading technique (MOT), a fundamental-harmonic model (FHM) in form of three-phase impedance matrix is derived and based on this model, an overloading algorithm (OA) is proposed. It is then applied to the three well known conditions of unbalanced short-circuit and a general case of unbalanced steady state operation. Finally, the feasibility and effectiveness of the proposed algorithm are validated by numerical results.