Generalization of the Normalization (Per-Unit) Technique

This paper presents a generalization of the normalization (per-unit) technique. The introduction of a region graph with its associated tree and cotree, a form of network equations designated as a primary system and some properties of matrix triple products, makes it possible to develop this normalization theory in a broad and mathematically rigorous form. Particular attention is paid to nominal normalization and the restrictions it imposes on the inter- relations of the normalization constants. A particularly significant result of this normalization theory is that it produces a normalized network identical with its prototype except for altered values of network parameters. The development organizes the normalization portion of the mathematical model for vast power networks into an effective structure, one which is particularly suitable for further theoretical development, digital computer calculations, and tutorial purposes.