Compact electrical power systems differ by their operation modes either as independent or integrated with entire consolidated electrical power system. Autonomous operation mode with no connection with an integrated power system presents its own characteristics and consequently operation and maintenance problems related specifically with control of compact power systems (CPS) operation modes. The tasks of stability of the synchronous generator synchronization process are formulated based on analysis of this paper. Less analyzed and one of the most complex is synchronization process of generators in an autonomous power system. At that part offering power system model that contains two synchronous generators with primary engines. The load is presented with statically active – inductive load. For an estimation of synchronization stability the mathematical model is developed. The model includes the synchronous generator model with the use of the full differential Park-Gorev equations and the statically active – inductive load’s equations.