Energies 2013, 6(9), 4721-4738; doi:10.3390/en6094721
Article

Recursive Pyramid Algorithm-Based Discrete Wavelet Transform for Reactive Power Measurement in Smart Meters

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Received: 11 July 2013; in revised form: 18 August 2013 / Accepted: 29 August 2013 / Published: 9 September 2013
(This article belongs to the Special Issue Smart Grids: The Electrical Power Network and Communication System)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: Measurement of the active, reactive, and apparent power is one of the most fundamental tasks of smart meters in energy systems. Recently, a number of studies have employed the discrete wavelet transform (DWT) for power measurement in smart meters. The most common way to implement DWT is the pyramid algorithm; however, this is not feasible for practical DWT computation because it requires either a log N cascaded filter or O (N) word size memory storage for an input signal of the N-point. Both solutions are too expensive for practical applications of smart meters. It is proposed that the recursive pyramid algorithm is more suitable for smart meter implementation because it requires only word size storage of L × Log (N-L), where L is the length of filter. We also investigated the effect of varying different system parameters, such as the sampling rate, dc offset, phase offset, linearity error in current and voltage sensors, analog to digital converter resolution, and number of harmonics in a non-sinusoidal system, on the reactive energy measurement using DWT. The error analysis is depicted in the form of the absolute difference between the measured and the true value of the reactive energy.
Keywords: reactive power; smart meter; recursive pyramid algorithm; discrete wavelet transform
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MDPI and ACS Style

ul Hasan, N.; Ejaz, W.; Atiq, M.K.; Kim, H.S. Recursive Pyramid Algorithm-Based Discrete Wavelet Transform for Reactive Power Measurement in Smart Meters. Energies 2013, 6, 4721-4738.

AMA Style

ul Hasan N, Ejaz W, Atiq MK, Kim HS. Recursive Pyramid Algorithm-Based Discrete Wavelet Transform for Reactive Power Measurement in Smart Meters. Energies. 2013; 6(9):4721-4738.

Chicago/Turabian Style

ul Hasan, Najam; Ejaz, Waleed; Atiq, Mahin K.; Kim, Hyung S. 2013. "Recursive Pyramid Algorithm-Based Discrete Wavelet Transform for Reactive Power Measurement in Smart Meters." Energies 6, no. 9: 4721-4738.

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