Soft Computing

, Volume 21, Issue 7, pp 1721–1734 | Cite as

Optimal estimation of power system harmonics using a hybrid Firefly algorithm-based least square method

  • Santosh Kumar Singh
  • Nilotpal Sinha
  • Arup Kumar Goswami
  • Nidul Sinha
Methodologies and Application


This paper presents a new hybridized algorithm known as Firefly algorithm-based least square (FA-LS) method for power system harmonic estimation. It uses a Firefly algorithm-based approach to estimate the phases and a least-square method for estimating the amplitudes of the harmonic signals. The simulation results are presented to demonstrate the estimation accuracy of FA-LS with the recently proposed particle swarm optimization with passive congregation and artificial bee colony with LS algorithms. The obtained results of FA-LS reveal that this algorithm is best in terms of accuracy and computational time. Practical validation is also made with the experimentation of the algorithm with real-time data obtained from a switch mode power supply with the power quality analyzer and estimation is performed under simulating environment.


Particle swarm optimizer with passive congregation Artificial bee colony Firefly algorithm Least square Harmonics Power quality 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Santosh Kumar Singh
    • 1
  • Nilotpal Sinha
    • 1
  • Arup Kumar Goswami
    • 1
  • Nidul Sinha
    • 1
  1. 1.Electrical Engineering DepartmentNational Institute of Technology SilcharSilcharIndia

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