A mathematical model for a ferrite orthogonal core is developed. This model is valid under forced and unforced magnetized conditions. Control-related parameters such as flux control limits, flux control modulus, and flux control sensitivity are obtained in the process. The analytical results are verified experimentally.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>