Application of the transient energy function method to stressed large-scale power systems

Abstract

While the most advanced technology has been used to photograph and reproduce this manuscript, the quality of the reproduction is heavily dependent upon the quality of the material submitted. For example:• Manuscript pages may have indistinct print. In such cases, the best available copy has been filmed. Page Methods for Unstable Equilibrium Point Solution 38 Problems in obtaining UEPs 38 Approaches 39 Numerical 111-conditioning 41 Corrected Gauss-Newton Method 45 CHAPTER V. STRESSED SYSTEMS 49 Stability Study in the Stressed Systems 49 Implications of Inter-area Mode in the TEF Method 51 UEP Justification 53 Numerical 111-conditioning of the Stressed Systems 58 CHAPTER VI. TEST SYSTEMS 63 MIS System 63 Ontario Hydro System 63

Contingency filtering scheme for on-line dynamic security assessment

“…• Determination of generation shedding requirement [21] • Dynamic security assessment by determining critical interface power flow limits [22] • Application of TEF method to large scale power systems [23] • Incorporation of out-of-step impedance relay [24] • Incorporation of exciters [25] • Incorporation of two-terminal HVDC lines [26] • Incorporation of non-linear load models [27] • Sensitivity of energy margin to system variables [28,29] As a result of these advances, the conservativeness of the TEF method has been significantly reduced and the TEF method has become a very powerful tool for use by system planners and operators. u…”

Incorporation of nonlinear load models and identification of the inter-area mode phenomenon in the transient energy function method

“…Over the recent years, the TEF method has been extended by improving computation techniques and modeling of power sys tem components. These improvements include applications of the TEF method to stressed large-scale power systems [23,24], incorporation of the effects of exciter [25,26], 2 terminal HVDC [26] and out-of-step impedance relays [27].…”

“…The UEPs of interest lie in the proximity of the corner points of a polytope [1]. In angular space, a ray from 9^ to the corrected corner point (which is the corner point corrected for the motion of the inertial center [23]) is formed. Along this ray, the potential energy is maximized, using a simple one dimensional maximization.…”

“…Presently in the TEF method there is a UEP verification scheme which verifies the MOD shift [23]. However, this verification scheme is only "after the fact" and what we need is a technique which would predict the onset of the inter-area mode.…”

“…• In these tables if the machines picked up by the MOD test appear in just one mode, or appear in a mode just by themselves, then we have a simple mode. The MOD test in the TEF method is based on the lowest normalized potential energy margin as detailed in [23]. The MOD is a terminology for characterizing the controlling UEP, in which the angles of a certain group of generators are advanced (generally, greater than 7r/2 radians).…”