Practical Diakoptics for Electrical Networks, A. BRAMELLER, M. N. JOHN, SCOTT.
This book is based on the work of Kron, whose first papers on tensor analysis laid the foundations of the method of
'tearing' more than thirty years ago.
Since then these methods have been widely studied, but rarely applied. The problems arising in the application of the methods are concerned with manipulative aspects of matrices, and their understanding requires application to given physical systems to obtain valid solutions. The authors present the work in a simpler form avoiding the use of tensor methods, and concentrating on the application to network analysis only. Each step is explained by practical numerical examples, easy to follow by students and engineers.
The book describes the theory and the detailed solution of some network problems arising from real power system situations. The approach is to extend basic principles to cope with such problems, rather than to present simplified examples in terms of general analysis. The treatment throughout is directed towards the use of methods most suitable for automatic digital computation, and a survey of standard numerical methods of solution of network problems is included.
Throughout the book the fundamental theory is developed separately for mesh and nodal analyses, so that appropriate equations are available for these complementary cases. The equations are developed in a simple matrix notation, and the steps, which are summarized in tabulated form, can be used directly as a basis for digital computer programs. The theory is also extended to cover a variety of additional networks which may be met in practice.