An improved three-phase reactive power measurement algorithm using walsh functions transform

Garba Aliyu, Saifulnizam Bin Abd Khalid, Mohd Wazir Mustafa, Hussein Shareef

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


This paper proposes an improved algorithm for three-phase power component measurement using the Walsh function (WF), which takes into account the advantages offered by the algorithm in the analysis of nonlinear load problems to improve the accuracy and reliability of measurement. In the pricing of electricity based on the value of the integral of the load active power measured using a kilowatt-hour meter, the electric utility loses some revenue for the energy delivered to current harmonic generating customers and customers whose load causes current asymmetry. An improved algorithm based on the WF for measuring the active and reactive power of a network with linear and or nonlinear and sinusoidal or nonsinusoidal network is developed and tested, and the result compared with IEEE standard 1459-2000 which is based on fast Fourier transformation. The method does not require phase shifting of the phase current signals by π/2 with respect to the voltage signals. The proposed algorithm enables reactive power measurement for proper electricity billing to the consumer with nonlinear loads.

Original languageEnglish
Pages (from-to)7-14
Number of pages8
JournalIEEJ Transactions on Electrical and Electronic Engineering
Issue number1
Publication statusPublished - Jan 2014
Externally publishedYes


  • Accurate measurement
  • Electricity billing
  • Reactive power
  • Walsh function

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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