In this paper, a new criterion to quickly evaluate the system transient stability based on wide area measurement system (WAMS) information, energy function method and adjoint power system (APS) model is proposed. APS is a two-dimensionalfirst-order differential equation model, which can be considered as a virtual representation to the real power system. Meaning of APS is first explained by using the one machine infinite bus system. Then, a new criterion based on projection kinetic energy of APS is proposed to determine the transient stability of the original power system with multiple generators. Trajectory prediction method based on curve fitting technique is adopted to accelerate the evaluation process. The proposed method is sufficiently rapid since it does not rely on the network structure, system model, system parameters and the identification of the coherent generator groups. Therefore, it can be utilised for online transient stability assessment based on WAMS. Simulation results on the New England system and one of North China Power System validate the correctness and effectiveness of the proposed method.
Nomenclature
Minertia constant of OMIB system M i inertia constant of ith generator P mi mechanical power output of ith generator P ei electrical power output of ith generator P e1 electrical power output of the generator in pre-fault P e2 electrical power output of the generator in fault P e3 electrical power output of the generator in post-fault t system time t cl fault clearing time Δt sampling time interval of WAMS α rotor acceleration of OMIB system α i ith rotor acceleration in COI reference δ rotor angle of OMIB system δ re maximum rotor angle of OMIB system in a stable swing δ cr critical rotor angle of OMIB system θ i ith rotor angle in centre of inertia (COI) reference ω rotor speed of OMIB system v i ith rotor speed in COI reference