摘要

Based on the explicit analytical equation for the stable manifold of the post fault stability region determined by the controlling unstable equilibrium points, this paper develops the explicit analytical equation for the local dynamic security region of network-reduction power systems. It presents the linear (QL method) and quadratic (QQ method) approximations for the dynamic security region based on the quadratic approximation for stable manifold and sensitivities. Furthermore, this paper compares the proposed methods to the linear approximation (LL method) of the dynamic security region based on the linear approximation for the stability region. The simulations in SMIB and IEEE 9-bus systems show that in the small-scale power systems, the LL method is robust but it may result in relative serious deviation. It is also shown that the QQ method may display fairly accurate estimation but it is sensitive to the initial parameters, and fortunately, the QL method is robust and it may meet the engineering requirements.