A new simplified approach for the steady state analysis of self-excited induction generators employing the concepts of co-ordinate geometry
A methodology for the steady state analysis of self-excited induction generators (SEIGs) is proposed employing an approach using simple co-ordinate geometry. The equivalent circuit of the SEIG is taken and its three complex admittances, Y̅1, Y̅2 and Y̅3, are considered. Using the nodal analysis of t...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/172948 |
| _version_ | 1811689398098460672 |
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| author | Kumaresan, Anusha Kesari, Hanumanthu Natarajan, Kumaresan Chilakapati, Nagamani |
| author2 | Energy Research Institute @ NTU (ERI@N) |
| author_facet | Energy Research Institute @ NTU (ERI@N) Kumaresan, Anusha Kesari, Hanumanthu Natarajan, Kumaresan Chilakapati, Nagamani |
| author_sort | Kumaresan, Anusha |
| collection | NTU |
| description | A methodology for the steady state analysis of self-excited induction generators (SEIGs) is proposed employing an approach using simple co-ordinate geometry. The equivalent circuit of the SEIG is taken and its three complex admittances, Y̅1, Y̅2 and Y̅3, are considered. Using the nodal analysis of the circuit and considering the nature of the parameters involved for ensuring self-excitation of the induction machine, it is shown that a triangle can be obtained by plotting Y̅1, Y̅2 and Y̅3 in the complex plane. Utilizing the well-known properties of the triangle, in a few steps, a simple equation is derived for the per unit (pu) speed, in terms of pu frequency, real part of Y̅1 and rotor resistance. This, consequently, leads to another simple expression for the calculation of the magnetizing reactance and further processing of the performance analysis of SEIG. Thus, this proposed method does not require advanced techniques or complex calculations. The analytical results arrived at are compared with those calculated using the popularly adopted genetic algorithm technique and recently evolved binary search method and also with the values obtained experimentally on a 3-phase, 3.75 kW, 230 V delta-connected induction machine run as an SEIG. A very close agreement is seen between these three sets of results. |
| first_indexed | 2024-10-01T05:47:28Z |
| format | Journal Article |
| id | ntu-10356/172948 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:47:28Z |
| publishDate | 2024 |
| record_format | dspace |
| spelling | ntu-10356/1729482024-01-03T06:28:29Z A new simplified approach for the steady state analysis of self-excited induction generators employing the concepts of co-ordinate geometry Kumaresan, Anusha Kesari, Hanumanthu Natarajan, Kumaresan Chilakapati, Nagamani Energy Research Institute @ NTU (ERI@N) Engineering::Electrical and electronic engineering Steady-State Analysis Co-Ordinate Geometry A methodology for the steady state analysis of self-excited induction generators (SEIGs) is proposed employing an approach using simple co-ordinate geometry. The equivalent circuit of the SEIG is taken and its three complex admittances, Y̅1, Y̅2 and Y̅3, are considered. Using the nodal analysis of the circuit and considering the nature of the parameters involved for ensuring self-excitation of the induction machine, it is shown that a triangle can be obtained by plotting Y̅1, Y̅2 and Y̅3 in the complex plane. Utilizing the well-known properties of the triangle, in a few steps, a simple equation is derived for the per unit (pu) speed, in terms of pu frequency, real part of Y̅1 and rotor resistance. This, consequently, leads to another simple expression for the calculation of the magnetizing reactance and further processing of the performance analysis of SEIG. Thus, this proposed method does not require advanced techniques or complex calculations. The analytical results arrived at are compared with those calculated using the popularly adopted genetic algorithm technique and recently evolved binary search method and also with the values obtained experimentally on a 3-phase, 3.75 kW, 230 V delta-connected induction machine run as an SEIG. A very close agreement is seen between these three sets of results. 2024-01-03T06:28:28Z 2024-01-03T06:28:28Z 2023 Journal Article Kumaresan, A., Kesari, H., Natarajan, K. & Chilakapati, N. (2023). A new simplified approach for the steady state analysis of self-excited induction generators employing the concepts of co-ordinate geometry. Electrical Engineering, 105(5), 3229-3239. https://dx.doi.org/10.1007/s00202-023-01871-x 0948-7921 https://hdl.handle.net/10356/172948 10.1007/s00202-023-01871-x 2-s2.0-85161440209 5 105 3229 3239 en Electrical Engineering © 2023 The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature. All rights reserved. |
| spellingShingle | Engineering::Electrical and electronic engineering Steady-State Analysis Co-Ordinate Geometry Kumaresan, Anusha Kesari, Hanumanthu Natarajan, Kumaresan Chilakapati, Nagamani A new simplified approach for the steady state analysis of self-excited induction generators employing the concepts of co-ordinate geometry |
| title | A new simplified approach for the steady state analysis of self-excited induction generators employing the concepts of co-ordinate geometry |
| title_full | A new simplified approach for the steady state analysis of self-excited induction generators employing the concepts of co-ordinate geometry |
| title_fullStr | A new simplified approach for the steady state analysis of self-excited induction generators employing the concepts of co-ordinate geometry |
| title_full_unstemmed | A new simplified approach for the steady state analysis of self-excited induction generators employing the concepts of co-ordinate geometry |
| title_short | A new simplified approach for the steady state analysis of self-excited induction generators employing the concepts of co-ordinate geometry |
| title_sort | new simplified approach for the steady state analysis of self excited induction generators employing the concepts of co ordinate geometry |
| topic | Engineering::Electrical and electronic engineering Steady-State Analysis Co-Ordinate Geometry |
| url | https://hdl.handle.net/10356/172948 |
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