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This paper explores the feasibility of rapid a- stability analysis of electric power systems containing as many as 60 generators by using Liapunov functions. Many Liapunov functions, approximate integrals, and critical value equations are presented, some for the first time. The results of applying these functions with the aid of a CDC 6600 digital computer to electric ric power systems whose number of generators is 4, 10, 20, or 60 are given for both the computation time and result accuracy. Recommendations are made for additional research on the development of more accurate ate functions for el'ectric power system analysis.