# A library of second-order models for synchronous machines

## TL;DR

This paper introduces a set of second-order synchronous machine models derived via systematic reduction techniques, suitable for various power system stability analyses, and validated against high-order models.

## Contribution

It develops a library of simplified second-order models for synchronous machines, extending their application beyond classical stability analysis.

## Key findings

- Models closely match high-order voltage, frequency, and phase profiles.
- Models are applicable to transient stability studies.
- Validated through comparison with classical and high-order models.

## Abstract

This paper presents a library of second-order models for synchronous machines that can be utilized in power system dynamic performance analysis and control design tasks. The models have a similar structure to the classical model in that they consist of two dynamic states, the power angle and the angular speed. However, unlike the classical model, the models find applications beyond first swing stability analysis; for example, they can also be utilized in transient stability studies. The models are developed through a systematic reduction of a nineteenth-order model, using singular perturbation techniques, and they are validated by comparing their voltage, frequency, and phase profiles with that of the high-order model and that of the classical model.