# Performance Assessment of Kron Reduction in the Numerical Analysis of Polyphase Power Systems

## TL;DR

This paper evaluates how Kron reduction affects the efficiency and accuracy of numerical methods like Newton-Raphson, regression, and homotopy continuation in analyzing unbalanced polyphase power systems.

## Contribution

It provides a systematic assessment of Kron reduction's impact on various numerical analysis techniques in power system studies.

## Key findings

- Kron reduction can simplify power system models without significant loss of accuracy.
- The performance of numerical methods varies depending on the extent of Kron reduction applied.
- Kron reduction influences convergence and computational efficiency in power system analysis.

## Abstract

This paper investigates the impact of Kron reduction on the performance of numerical methods applied to the analysis of unbalanced polyphase power systems. Specifically, this paper focuses on power-flow study, state estimation, and voltage stability assessment. For these applications, the standard Newton-Raphson method, linear weighted-least-squares regression, and homotopy continuation method are used, respectively. The performance of the said numerical methods is assessed in a series of simulations, in which the zero-injection nodes of a test system are successively eliminated through Kron reduction.