Multi-Level Tearing and Applications

Previous tearing algorithms have considered the interconnections in a power system at two levels, 1) the subdivision level for recognizing the interconnections within the subdivisions and 2) the inter-subdivision level for recognizing the interconnections of the subdivisions themselves. The present paper will generalize the previous work from two levels to any number of computing levels. The initial application of this work is for implementing certain change cases in two-level piecewise programs by additions in levels rather than by changing existing network models.