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In this paper, a theoretical model of multiple-coil inductors supplied by resonant half-bridge inverters in induction hobs is proposed. The model includes the most relevant coupling effects and allows the calculation of the coil currents and the inverter's output power for any modulation parameters, even with different switching frequencies and duty cycles. Furthermore, the power distribution in the pan is calculated and the relationship with the output powers of the power stage is obtained, so that they can be controlled to obtain a homogeneous power distribution and a more uniform heating.
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Serrano et al. (2016) studied this question.
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