Interdependence of Transmission Branch Parameters on the Voltage Levels

TL;DR

This paper investigates how electrical parameters of transmission branches depend on voltage levels, revealing consistent statistical patterns and interdependencies that aid in grid modeling and synthetic test case creation.

Contribution

It uncovers statistical patterns and interdependence of transmission branch parameters on voltage levels, providing insights for grid modeling and validation.

Findings

Transformers reactance shows consistent patterns across voltage levels.

Transmission line reactance per km exhibits stable statistical behavior.

Branch resistance and other parameters strongly depend on voltage levels, often following a power law.

Abstract

Transformers and transmission lines are critical components of a grid network. This paper analyzes the statistical properties of the electrical parameters of transmission branches and especially examines their interdependence on the voltage levels. Some interesting findings include: (a) with appropriate conversion of MVA rating, a transformers per unit reactance exhibits consistent statistical pattern independent of voltage levels and capacity; (b) the distributed reactance (ohms/km) of transmission lines also has some consistent patterns regardless of voltage levels; (c) other parameters such as the branch resistance, the MVA ratings, the transmission line length, etc, manifest strong interdependence on the voltage levels which can be approximated by a power function with different power constants. The results will be useful in both creation of synthetic power grid test cases and validation of existing grid models.