Transient stability analysis based on dimension reduction transform of rotor angles

Transient stability is of essential concern in power systems. With the widespread of wide area measurement system, the method using geometric features of trajectory in phase plane to detect power system transient instability online were proposed. This paper provides a graphical method based on phase plane. The dimension of the power angle trajectory was reduced in power-angle space so the trajectory was projected in a one-dimensional coordinate, to intuitively show stability characteristics, a new phase plane is defined based on the motion parameters obtained by dimension reduction and the transient stability could be judged by the convexity of trajectory in the new phase plane. The simulation of the New England 39-bus system shows that the proposed method provides an intuitive and effective approach for multi-machine system transient stability analysis and is useful in field applications.