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