Stability of complex electrical power systems (EPS) is an important technical property, indicator of reliable and efficient operation of the EPS. The concept of stability can be divided into three types: the static, dynamic and resulting one. Static stability is the ability of the system to restore normal operation after minor perturbations, in its turn, dynamic and resulting stability is the ability of the system to restore normal operation after large disturbances. The most dangerous system condition is asynchronous operation, when the system loses resulting stability. This paper is devoted to the evaluation issues of static stability of operation mode on the example of the Latvian power system 330 kV. It is separately described the principle of operation of the elimination automatic device of asynchronous operation (AGNA, out of step protection), as a modern reliable means of emergency automation to preserve resulting stability.