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SLUA159 Datasheet(PDF) 11 Page - Texas Instruments |
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SLUA159 Datasheet(HTML) 11 Page - Texas Instruments |
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11 / 28 page  APPLICATION NOTE Primary Turns Secondary Turns To satisfy the condition for resonance, The resonant tank component equations now become: I Note: the calculated resonant inductance value does not include any series inductance, typical of the transformer leakage and wiring inductances. Note: the calculated resonant capacitor value does not include any parallel capacitance, typical of a MOSFET output capacitance, in shunt. Multi-transistor variations of the buck topology should accommodate all switch capaci- tances in the analysis. Timing Equations (including N): U-138 Determining Transformer Turns Ratio (N): The transformer turns ratio is derived from the equations used to define the power transfer interval in addition to the maximum off- time, While this may first seem like an iterative process, it simplifies to the volt-second product relationship described. The general equations are listed below. The turns ratio N is derived by substituting for the output voltage in the power transfer interval equation. Solving for N results in the relationship: The transformer magnetizing and leakage inductance is part of the resonant inductance. This requires adjustment of the resonant induc- tor value, or both the resonant tank impedance and frequency will be off-target. One Fig. 11 -- Transformer Inductance “Shim ” option is to design the transformer inductance to be exactly the required resonant inductance, thus eliminating one component. For precision applications, the transformer inductance should be made slightly smaller than required, and “shimmed” up with a small inductor. 3-339 |
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