Transient Energy of an Individual Machine PART III: Newtonian Energy Conversion.

Songyan Wang*, Jilai Yu, Aoife M. Foley

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Downloads (Pure)


In this third paper, the fundamental mechanism of individual-machine transient stability is explained through Newtonian mechanics. The original Newtonian system with variant gravity is developed. This system is formed by a ball and the Earth. It is found that the Newtonian energy conversion strictly holds inside the system, and the equal area criterion can be considered a reflection of the Newtonian work. Based on these features, the stability characterizations of the system are given. Then, the original Newtonian system is extended to a generalized Newtonian system with multiple balls. It is found that this generalized Newtonian system can be decomposed into each two-ball-based subsystem, and the Newtonian energy conversion inside each subsystem is unique and different. This decomposition also ensures the independent parallel stability characterization of the generalized system. Finally, the strict mappings between Newtonian system stability and individual-machine transient stability are systematically analyzed. All these strict mappings fully reveal that the theoretical foundation of the individual-machine transient stability should be Newtonian mechanics.

Original languageEnglish
Pages (from-to)110236-110254
Number of pages19
JournalIEEE Access
Publication statusPublished - 03 Aug 2021

Bibliographical note

Publisher Copyright:
© 2013 IEEE.

Copyright 2021 Elsevier B.V., All rights reserved.


  • equal area criterion
  • individual machine
  • transient energy
  • Transient stability

ASJC Scopus subject areas

  • Computer Science(all)
  • Materials Science(all)
  • Engineering(all)


Dive into the research topics of 'Transient Energy of an Individual Machine PART III: Newtonian Energy Conversion.'. Together they form a unique fingerprint.

Cite this