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A historical development of mechanical and electronic differential analyzers as well as the significant developments in simulation techniques are discussed. Present-day application of modern analog and hybrid computers to electric power systems are presented. Included are the simulation of electric machines, static converter drives, transmission lines, and dc power systems. Special-purpose analog and hybrid computers are also discussed briefly. The material presented in this paper should enable an informed evaluation of the capabilities of analog and hybrid computers in the analysis of power system problems.