“…The cores with air gaps are usually used for the reactors to avoid their saturation. The theory dedicated to the design of magnetic materials with the air gap, including the cores of reactors, can be found in (Arab- Tehrani et al, 2010;Dolan et al, 2012;Dolan & Lehn, 2007;Finotti & Gaio, 2014;Fouda et al, 1993;Kosai et al, 2013;Lotfi & Faridi, 2012;Luo et al, 2009;Topaloglu, 2016;Wass et al, 2006). Three phase single core EI shaped reactor was designed for total reactive power = 4.8 kVAr that corresponds to RMS of phase current = 7 A for low voltage utility grid phase voltage | |=230 V. The impedance of the reactor has to be…”