1. The book is a pioneer work in this field, a new view concerning the old things that seem to be known for all power systems and control specialists: algorithms related to control parameters and operation estimation, detection, classification, resolution, and utilization. 2. The work contains a new algebraic approach to economic dispatch exploiting as an algebraic system for power operations realized. 3. The monograph contains a solution to large-scale power control problems, namely the increasing development of methods and algorithms of the processing in the control method of the power system that provides increasing (a) Operation efficiency under different uncertainty conditions; (b) system stability rate.; (2) further development of mathematical fundamentals of power system networks. 4. For the first time, the traditional method considers the fundamentals of power system control and operation. Developed algorithms cover many possible applications and known classic optimal algorithms related to the algorithms. 5. All obtained results are new, original, and unknown to English-speaking audiences and verified by the MATLAB program.