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
This paper outlines the nature and characteristics of the transient response of a large stressed power network. Transient stability analysis of such a system by the transient energy function (TEF) method requires overcoming a number of analytical and numerical problems.These issues are identified and solutions to them are proposed.The procedure developed is tested on two realistic power networks derived from a large power flow base case of the Ontario Hydro system.Results of the tests compare well with time simulation and accurately predict the complex dynamic behavior.
This paper deals with the demonstration of the Transient Energy Function (TEF) method in large, realistic power networks.Documented examples of application in power system operation and associated software development for systems up to 228-generators and 1644-buses are given.An overview of the analytical and computational problems encountered in the large scale application of the TEF method is presented.Approaches used to overcome the problems are provided, and the relevant improvements and modifications to the TEF software are discussed.
I. INTRODUCTIONConsiderable progress has been made in first swing power system transient stability analysis using the transient energy function method (TEF) [1]. This progress covered two main areas that are essential to the TEF's potential for use by the electric utility industry (2-5]:imore accurate accounting of the system transient energy responsible for separation of some generators from the rest, and iibetter estimation of the critical energy against which transient stability assessment is made.To date, the TEF technique has been investigated and its usefulness demonstrated, in a research environment. In these demonstrations small-to-medium size power systems have been used.Most of the applications were limited to simple disturbances with the critical clearing time being a "figure of merit" used to compare results obtained with the TEF method to those obtained by conventional means. Recently other applications of TEF have been reported upon in the literature: fast dynamic security assessment in a utility operations environment, in terms of stabilitylimited interface flows, for a radial-type system configuration [6]; stability-limited load supply capability for incorporation in the optimal power flow problem [7]; and estimation of generation-shedding requirements in the B.C. Hydro system [8]. These applications have also been used with relatively small systems. Further developments are needed for large scale power systems. 86 WM 066-5 A paper recommended and approved by the IEEE Power System Engineering Committee of the IEEE Power Engineering Society for presentation at the IEEE/PES
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