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A simplified computational technique for the analysis of self-excited induction generators considering the core loss resistance

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Abstract

A simplified technique has been developed for accurately evaluating the steady-state performance of self-excited induction generator (SEIG). This proposed technique employs nodal analysis of the equivalent circuit of SEIG, taking the core loss resistance (Rm) also into consideration. This circuit has no voltage or current source and hence the net value of its complex nodal admittance becomes zero. The real and imaginary parts of this admittance, are then individually equated to zero and a closed-form expression for per unit (pu) speed (b), without involving the magnetizing reactance (Xm), is easily obtained in a few steps, for the specified pu frequency (a). Then, the expressions for Xm and Rm are also obtained. Subsequently, the complete performance of the SEIG is evaluated using the equivalent circuit. It is also shown that the proposed technique does not require lengthy complex derivations and it takes much less computational time, compared to the other commonly used methods for the analysis of SEIG. Test results, obtained on a three-phase, 4-pole, 3.7 kW, 230 V SEIG very closely agree with the computed values. The formulated technique is also slightly modified to make it applicable, if the performance evaluation is needed for a given pu speed.

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Data availability

The current study did not generate or analyse any datasets. However, the machine parameters taken in the lab were utilised to support the findings and analysis in the article.

Abbreviations

a :

Per unit (pu) frequency, fg/fr

b :

pu Speed, N/Ns

C :

Per phase excitation capacitance, F

E̅ :

Per phase air gap voltage, V

f g :

Generated frequency, Hz

f r :

Rated frequency, Hz

N :

Actual rotor speed, rpm

N s :

Synchronous speed corresponds to rated frequency, rpm

R/X :

Load resistance/reactance per phase, Ω

R m :

Core loss resistance per phase, Ω

R 1 /R 2 :

Stator/rotor (referred to stator) resistance per phase, Ω

X 1 /X 2 :

Stator/rotor (referred to stator) reactance per phase, Ω

X C :

Excitation capacitive reactance per phase, Ω

X m :

Magnetizing reactance per phase, Ω

X mc :

Critical magnetizing reactance per phase, Ω

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Acknowledgements

The authors warmly acknowledge the authorities of the National Institute of Technology, Tiruchirappalli, India, for providing all the facilities to carry out this research work. The authors would also like to extend their sincere thanks to Dr. M. Subbiah for his valuable assistance in the preparation of presented research work.

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The author(s) received no external fund for this research work.

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Authors and Affiliations

  1. Department of Electrical and Electronics Engineering, National Institute of Technology, Tiruchirappalli, Tamil Nadu, 620015, India

    Hanumanthu Kesari & Kumaresan Natarajan

  2. Energy Research Institute at NTU (ERI@N), Interdisciplinary Graduate Programme, Nanyang Technological University, Singapore, 639798, Singapore

    Anusha Kumaresan

Authors
  1. Hanumanthu Kesari
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Contributions

Hanumanthu Kesari: Methodology, Formal analysis, Investigation, Experimentation, Writing- Original draft. Kumaresan Natarajan: Supervision, Conceptualization, Validation, Writing- Review & Editing. Anusha Kumaresan: Conceptualization, Formal analysis, Writing- Review & Editing.

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Correspondence to Kumaresan Natarajan.

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Kesari, H., Natarajan, K. & Kumaresan, A. A simplified computational technique for the analysis of self-excited induction generators considering the core loss resistance. Electr Eng (2024). https://doi.org/10.1007/s00202-024-02366-z

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