Magnetic Flux Density Determination in 3D Wound Core Transformer Using H-balance Equation

Calculation of the magnetic flux density in magnetic core is an important part of the transformer design process and its equivalent circuit development. By determining the magnetic flux density, the no-load current, no-load losses and magnetic noise of the transformer can be specified. 3D wound core is an efficient proposed transformer core structure which has been employed distribution transformer manufacturers. Magnetic flux density in this type of core has not been investigated in detail, so far. In this paper, magnetic flux density in 3D wound core is investigated in three-phase balanced excitation condition. First, the fundamental equations which should be solved in order to determine the magnetic flux density in the core frames are derived. H-balance equation is one of these fundamental equations which is also a characteristic equation for this type of core. An analytical approach for solving these fundamental equations is then introduced. Finally, the proposed method is verified against experimental results.