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ipt [2025/06/04 16:58] npipt [2025/06/09 12:42] (current) np
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 k = \frac{M}{\sqrt{L_1 L_2}} k = \frac{M}{\sqrt{L_1 L_2}}
 $$ $$
 +
 +The maximum achievable efficiency can be mathematically expressed by the equation below:
 +
 +$$
 +\eta = \frac{k^2 Q_P Q_S}{\left(1 + \sqrt{1 + k^2 Q_P Q_S}\right)^2}
 +$$
 +
 +Q<sub>p</sub> and Q<sub>s</sub> are the quality factors for the primary and secondary sides, respectively. They are determined by the (parasitic) resistances and self-inductances of the coil where ω<sub>0</sub> is the angular resonant frequency. R represents the total resistance of the coils (primary or secondary) and is the sum of three components: R<sub>DC</sub>, which is the DC resistance, R<sub>skin</sub>, which accounts for the skin  effect loss, and R<sub>prox</sub>, which represents the proximity effect loss.
 +
 +$$
 +Q_{P/S} = \frac{\omega_0 L_{P/S}}{R_{P/S}}
 +$$
 +
 +To further design the IPT system, the [[Type of coils]] and [[Shielding techniques]] must be determined.
  
ipt.1749056306.txt.gz · Last modified: by np