Bollinger, K. E.2024-07-122024-07-121970-05May 1970https://hdl.handle.net/10388/15800This thesis presents a numerical method to derive transfer functions relating any two variables, or sets of variables, of large control systems. The technique described herein yields the required transfer functions directly from the state space representation of the systems. The poles and zeros of the transfer function associated with an nth order system are determined by calculating the eigenvalues of two nth order matrices. The transfer function gain is obtained directly from the state space equations. The numerical method developed in this thesis is then applied to determine the appropriate transfer functions of a power system generator, or sets of generators, which will allow the analyst to synthesize the controllers to enhance the damping at a generating station: Using the numerical method which is discussed in this thesis, a detailed study into the effects of the system dynamics of one type of auxiliary controller is considered. In the example, the system that is external to the controller is first reduced to a single transfer function and then the complex transfer function is further simplified to a considerable lower order by retaining only the dominant roots. Root locus techniques are then applied to the simple model and an appropriate controller is designed.Thesis