An introduction to the concept of Randomness Power

Electric powers are separated in active powers (the dominant 50 or 60 Hz active power and the tiny harmonic active powers) and nonactive powers (the 50 or 60 Hz reactive power and three more distortion powers). When the measurements are taken over a duration τ and the total monitoring time τ is divided in ν equal intervals (τ = νΔ_τ ) the overall values of powers are obtained by implementing the “aggregation” of the ν values, using the mean or the square root arithmetic mean. This study indicates that when there is a random fluctuation of voltage and current, from one Δ_τ to the next, the correct apparent power resolution must include a new nonactive power, the Randomness Power.