The optimization of cooling of underground cable systems

A novel, idealized mathematical description is presented of the cooling process of electric power cable system by an integral liquid coolant configuration. A model is first obtained for constant fluid velocities, by the use of Laplace transform and subsequent solution of an ordinary differential equation. A simple integral expression is obtained, which is numerically integrated by the Simpson's rule. The set of curves so obtained, clearly show the delay of the temperature peak vs. the peak of the power demand. A steady state form of control is proposed. Block diagrams of two implemetations are shown. These control systems are designed to maintain the temperature of the effluent constant. An optimization algorithm based on developments given by Sage is presented. This algorithm will optimize the transfer of the cooling system from the initial condition of zero velocity to the steady state operation described above.Applied Science, Faculty ofElectrical and Computer Engineering, Department ofGraduat