Abstract
Analytical methods for the study of orthogonal-flux systems and parallel-flux systems are presented. The analyses are applied to study and compare orthogonal-flux and parallel-flux controllable inductors. It is found that the two systems have a great qualitative similarity but differ in the magnitudes of similar effects. This paper lays the ground work to be used in the study of parametric power converters or parametric voltage regulators to be presented in subsequent papers.

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