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Accurate analog models of power system components are required in order to realize an analog computation engine for power systems. Analog computation is an area of continued interest and has certain advantages over traditional digital computation. Among the advantages are physically realizable solutions and significantly faster computation times. This paper focuses on the development of an algebraic static generator model designed for a previously proposed method of analog power flow computation. Prior research in this field has focused on modeling generators dynamically without VAR limitations. The static model proposed here can yield steady state results faster than the prior dynamic models and provides added functionality by incorporating VAR limitations. The model is constructed and verified via analog behavior modeling in PSpice software