Effect of Inertia Constant on Generator Frequency and Rotor Angle

Ngyarmunta Alan Audu; Odaba Alphaeus; Talatu Adamu

doi:doi:10.11648/j.eas.20180301.12

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Effect of Inertia Constant on Generator Frequency and Rotor Angle

Ngyarmunta Alan Audu, Odaba Alphaeus, Talatu Adamu

Published in Engineering and Applied Sciences (Volume 3, Issue 1)

Received: 25 November 2017 Accepted: 23 December 2017 Published: 1 February 2018

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Abstract

Inertia constant of a rotating system describes the initial transient, frequency and rotor angle behavior of that system when subjected to a real power disturbance. Therefore, the inertia constant of a system can be a useful tool when investigating the frequency and rotor angle stability of a system. The use of the swing equation gives us a viable method for estimating the inertia constant, if a measurement of that can provide time stamps measurements of the frequency and power dynamics during a disturbance. In this project work, effect of inertia constant of synchronous generator (machine constant) on its frequency and rotor angle is investigated. Swing equation is used for modeling the dynamics of the system. It is then built and simulated using MATLAB. The analysis is done by observing how the frequency and rotor angle changes when the inertia constant is varied while keeping all system parameters constant. The study is extended to investigate the dynamics of such system with very high and those with very low inertia constant and the results show that the higher the value of the inertia constant, the higher the settling time and of course the maximum overshoot.

Published in	Engineering and Applied Sciences (Volume 3, Issue 1)
DOI	10.11648/j.eas.20180301.12
Page(s)	6-11
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Inertia Constant, Rotor Angle, Swing Equation, Frequency

References

[1]	T. S. Borsche, T. Liu, and D. J. Hill. E_ects of rotational inertia on power system damping and frequency transients. To be presented at the 54th IEEE Conference on Decision and Control, 2015.
[2]	P. Kundur. Power System Stability and Control. McGraw-Hill Inc., New York, 1994.
[3]	G. Andersson. Lecture notes in Power System Analysis. EEH – Power System Laboratory, ETH Zurich, September 2013.
[4]	M. Gibbard, D. Vowles. Simpli_ed 14-generator model of the south east australian power system. IEEE Task Force on Benchmark Systems for Stability Control, 2014.
[5]	Ulbig, T. S. Borsche, and G. Andersson. Impact of low rotational inertia on power system stability and operation. In Proceedings of the 19th IFAC World Congress, pages 7290{7297, Cape Town, August 2014. B. Edward, Ed.
[6]	IEEE Power Engineering Society, Inter-Area Oscillations in Power Systems, System Dynamic Performance Subcommittee Special Publication, 95TP101, 1995.
[7]	IEEE Power Engineering Society, Voltage Stability Assessment: Concepts, Practices and Tools, Power System Stability Subcommittee Special Publication, SP101PSS, 2003.
[8]	N. Yorino, H. Sasaki, Y. Tamura, and R. Yokoyama, “A generalized analysis method of auto-parametric resonances in power systems”, IEEE Trans. Power Syst., vol. 4, no. 3, pp. 1057–1064, Aug. 1989.
[9]	T. Athey, R. Podmore, and S. Virmani, “A practical method for direct analysis of transient stability”, IEEE Trans. Power App. Syst., vol. PAS-98, pp. 573–584, 1979.
[10]	N. Kakimoto, Y. Ohsawa, and M. Hayashi, “Transient stability analysis of electric power system via Luré type Lyapunov function”, Trans. IEE Jpn., vol. 98-E, no. 5/6, pp. 63–79, 1978.
[11]	G. A. Maria, C. Tang, and J. Kim, “Hybrid transient stability analysis”, IEEE Trans. Power Syst., vol. 5, no. 2, pp. 384–393, May 1990.
[12]	Y. Xue, L. Wehenkel, R. Belhomme, P. Rous-Seaux, M. Pavella, E.
[13]	Euxibie, B. Heilbronn, and J. F. Lesigne, “Extended equal area criterion revised”, IEEE Trans. Power Syst., vol. 7, no. 3, pp. 1012–1022, Aug. 1992.

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APA Style

Ngyarmunta Alan Audu, Odaba Alphaeus, Talatu Adamu. (2018). Effect of Inertia Constant on Generator Frequency and Rotor Angle. Engineering and Applied Sciences, 3(1), 6-11. https://doi.org/10.11648/j.eas.20180301.12

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ACS Style

Ngyarmunta Alan Audu; Odaba Alphaeus; Talatu Adamu. Effect of Inertia Constant on Generator Frequency and Rotor Angle. Eng. Appl. Sci. 2018, 3(1), 6-11. doi: 10.11648/j.eas.20180301.12

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AMA Style

Ngyarmunta Alan Audu, Odaba Alphaeus, Talatu Adamu. Effect of Inertia Constant on Generator Frequency and Rotor Angle. Eng Appl Sci. 2018;3(1):6-11. doi: 10.11648/j.eas.20180301.12

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@article{10.11648/j.eas.20180301.12,
  author = {Ngyarmunta Alan Audu and Odaba Alphaeus and Talatu Adamu},
  title = {Effect of Inertia Constant on Generator Frequency and Rotor Angle},
  journal = {Engineering and Applied Sciences},
  volume = {3},
  number = {1},
  pages = {6-11},
  doi = {10.11648/j.eas.20180301.12},
  url = {https://doi.org/10.11648/j.eas.20180301.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.eas.20180301.12},
  abstract = {Inertia constant of a rotating system describes the initial transient, frequency and rotor angle behavior of that system when subjected to a real power disturbance. Therefore, the inertia constant of a system can be a useful tool when investigating the frequency and rotor angle stability of a system. The use of the swing equation gives us a viable method for estimating the inertia constant, if a measurement of that can provide time stamps measurements of the frequency and power dynamics during a disturbance. In this project work, effect of inertia constant of synchronous generator (machine constant) on its frequency and rotor angle is investigated. Swing equation is used for modeling the dynamics of the system. It is then built and simulated using MATLAB. The analysis is done by observing how the frequency and rotor angle changes when the inertia constant is varied while keeping all system parameters constant. The study is extended to investigate the dynamics of such system with very high and those with very low inertia constant and the results show that the higher the value of the inertia constant, the higher the settling time and of course the maximum overshoot.},
 year = {2018}
}

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TY  - JOUR
T1  - Effect of Inertia Constant on Generator Frequency and Rotor Angle
AU  - Ngyarmunta Alan Audu
AU  - Odaba Alphaeus
AU  - Talatu Adamu
Y1  - 2018/02/01
PY  - 2018
N1  - https://doi.org/10.11648/j.eas.20180301.12
DO  - 10.11648/j.eas.20180301.12
T2  - Engineering and Applied Sciences
JF  - Engineering and Applied Sciences
JO  - Engineering and Applied Sciences
SP  - 6
EP  - 11
PB  - Science Publishing Group
SN  - 2575-1468
UR  - https://doi.org/10.11648/j.eas.20180301.12
AB  - Inertia constant of a rotating system describes the initial transient, frequency and rotor angle behavior of that system when subjected to a real power disturbance. Therefore, the inertia constant of a system can be a useful tool when investigating the frequency and rotor angle stability of a system. The use of the swing equation gives us a viable method for estimating the inertia constant, if a measurement of that can provide time stamps measurements of the frequency and power dynamics during a disturbance. In this project work, effect of inertia constant of synchronous generator (machine constant) on its frequency and rotor angle is investigated. Swing equation is used for modeling the dynamics of the system. It is then built and simulated using MATLAB. The analysis is done by observing how the frequency and rotor angle changes when the inertia constant is varied while keeping all system parameters constant. The study is extended to investigate the dynamics of such system with very high and those with very low inertia constant and the results show that the higher the value of the inertia constant, the higher the settling time and of course the maximum overshoot.
VL  - 3
IS  - 1
ER  -

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Author Information

Ngyarmunta Alan Audu

Department of Electrical and Electronics Engineering, Air Force Institute of Technology, Kaduna, Nigeria
Odaba Alphaeus

Department of Electrical and Electronics Engineering, Air Force Institute of Technology, Kaduna, Nigeria
Talatu Adamu

Department of Electrical and Electronics Engineering, Air Force Institute of Technology, Kaduna, Nigeria

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APA Style

Ngyarmunta Alan Audu, Odaba Alphaeus, Talatu Adamu. (2018). Effect of Inertia Constant on Generator Frequency and Rotor Angle. Engineering and Applied Sciences, 3(1), 6-11. https://doi.org/10.11648/j.eas.20180301.12

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ACS Style

Ngyarmunta Alan Audu; Odaba Alphaeus; Talatu Adamu. Effect of Inertia Constant on Generator Frequency and Rotor Angle. Eng. Appl. Sci. 2018, 3(1), 6-11. doi: 10.11648/j.eas.20180301.12

Copy | Download

AMA Style

Ngyarmunta Alan Audu, Odaba Alphaeus, Talatu Adamu. Effect of Inertia Constant on Generator Frequency and Rotor Angle. Eng Appl Sci. 2018;3(1):6-11. doi: 10.11648/j.eas.20180301.12

Copy | Download

@article{10.11648/j.eas.20180301.12,
  author = {Ngyarmunta Alan Audu and Odaba Alphaeus and Talatu Adamu},
  title = {Effect of Inertia Constant on Generator Frequency and Rotor Angle},
  journal = {Engineering and Applied Sciences},
  volume = {3},
  number = {1},
  pages = {6-11},
  doi = {10.11648/j.eas.20180301.12},
  url = {https://doi.org/10.11648/j.eas.20180301.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.eas.20180301.12},
  abstract = {Inertia constant of a rotating system describes the initial transient, frequency and rotor angle behavior of that system when subjected to a real power disturbance. Therefore, the inertia constant of a system can be a useful tool when investigating the frequency and rotor angle stability of a system. The use of the swing equation gives us a viable method for estimating the inertia constant, if a measurement of that can provide time stamps measurements of the frequency and power dynamics during a disturbance. In this project work, effect of inertia constant of synchronous generator (machine constant) on its frequency and rotor angle is investigated. Swing equation is used for modeling the dynamics of the system. It is then built and simulated using MATLAB. The analysis is done by observing how the frequency and rotor angle changes when the inertia constant is varied while keeping all system parameters constant. The study is extended to investigate the dynamics of such system with very high and those with very low inertia constant and the results show that the higher the value of the inertia constant, the higher the settling time and of course the maximum overshoot.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Effect of Inertia Constant on Generator Frequency and Rotor Angle
AU  - Ngyarmunta Alan Audu
AU  - Odaba Alphaeus
AU  - Talatu Adamu
Y1  - 2018/02/01
PY  - 2018
N1  - https://doi.org/10.11648/j.eas.20180301.12
DO  - 10.11648/j.eas.20180301.12
T2  - Engineering and Applied Sciences
JF  - Engineering and Applied Sciences
JO  - Engineering and Applied Sciences
SP  - 6
EP  - 11
PB  - Science Publishing Group
SN  - 2575-1468
UR  - https://doi.org/10.11648/j.eas.20180301.12
AB  - Inertia constant of a rotating system describes the initial transient, frequency and rotor angle behavior of that system when subjected to a real power disturbance. Therefore, the inertia constant of a system can be a useful tool when investigating the frequency and rotor angle stability of a system. The use of the swing equation gives us a viable method for estimating the inertia constant, if a measurement of that can provide time stamps measurements of the frequency and power dynamics during a disturbance. In this project work, effect of inertia constant of synchronous generator (machine constant) on its frequency and rotor angle is investigated. Swing equation is used for modeling the dynamics of the system. It is then built and simulated using MATLAB. The analysis is done by observing how the frequency and rotor angle changes when the inertia constant is varied while keeping all system parameters constant. The study is extended to investigate the dynamics of such system with very high and those with very low inertia constant and the results show that the higher the value of the inertia constant, the higher the settling time and of course the maximum overshoot.
VL  - 3
IS  - 1
ER  -

Copy | Download