Determining the Sensitivities at the UEP 4.6.5 Determining Change in MOD and Stability Assessment 4.7 Steps to Evaluate Sensitivities for Network Changes 4.8 Steps to Evaluate Sensitivities for Plant Generation Changes 4.9 Comments on Sensitivity Procedure for Network Changes 4.10 Sensitivities at the Exit Point and the Minimum Gradient Point 4.10.1 Network Topological Changes 4.10.2 Plant Generation Changes 4.11 Sample Results 5 SPARSE TRANSIENT ENERGY FUNCTION FORMULATION 5.1 Mathematical Model 5.2 Determination of the Exit Point and the Minimum Gradient Point 5.3 Identifying the controlling UEP 5.4 Computation of the Energy Margin 5.5 Implementation of the filtering scheme with sparse formulation 5.5.1 Inertial Transient Filters 5.5.2 Post Inertial Transient Filters 5.6 Sample results on the post inertial filter signatures 6 ENHANCEMENTS TO THE SPARSE TEF METHOD 6.1 Exciter Reduction 6.1.1 Procedure to Obtain Reduced Order Excitation System Model 6.1.2 Sample results with exciter reduction V 6.2 Spline Function 6.2.1 Sample results with the spline fit 6.3 Alternate Method of Determining the MOD 6.4 Scaffolding 7