Diakoptics—The solution of system problems by tearing

A piecewise procedure called diakoptics is described. An overview of the theory is presented, and a summary of the applications that have been carried out to date in the power industry has been included. This paper is not a mere recapitualtion, but contains a number of new ideas which have not been presented previously. Only relevant mathematics have been included, and derivations or detailed mathematical presentations that appear elsewhere have been referenced. The paper starts with a historical review in which the classic problem through which diakoptics was conceived is presented. The tearing cases considered include torn subdivisions radially attached as well as torn subdivisions not attached. Only the most basic cases are considered for brevity and clarity of presentation.