抄録
In many cathodic protection systems, the electrodes must be located directly on the wall of a structure for various reasons. An effective boundary element method for determining the optimum impressed current and optimum location of the electrode in such a cathodic protection system is proposed in this paper. This problem is reduced to minimize the power supply under the protecting condition that the electric potential of every part of a structure to be protected should be less than some critical value. In order to avoid the remeshing which is necessary in each iteration in the usual optimization procedures, the boundary integral equation is modified in such a way that the design variables become independent of the boundary element mesh. The solution is obtained by using the conjugate gradient method in which the protecting conditions are taken into account by the penalty function method. A few numerical examples are presented to demonstrate the practical applicability of the proposed method.