Large Signal Dynamics of Load-Frequency Control Systems and Their Optimization Using Nonlinear Programming: I

The first part of this paper deals with the response of a large load-frequency control system (power system) when subjected to a major disturbance. If the system becomes unstable, upon the occurrence of a disturbance, incidents like the great blackout of 1965 in the Eastern United States and Canada can occur. This paper differs from much previous work in the respect that the assumption that the system be linear is not made. A numerical method is presented to solve for the nonlinear system. The linear case can be treated as a degenerate case of the more difficult problem. Since it is possible to find an exact solution for a linear system, examples are presented to show good agreement between the exact solution and the solution obtained by the numerical method.