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Design and Implementation of On-board Electrical Power ... - OUFTI-1

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There is no data about the case to PBC thermal resistance in the datasheet <strong>of</strong> theTPS61085. <strong>On</strong>ly the case to air thermal resistance is available but it is useless in vacuum.With no certitude about its capacity to dissipate the produced heat, it was decided to chooseanother IC, i.e. the TPS61087.The TPS61087 is equipped with a “<strong>Power</strong> PAD”, which allow a good thermal contactbetween the case <strong>and</strong> the PCB. The junction-air thermal resistance is 30 ◦ C/W when the<strong>Power</strong> PAD is soldered to the PCB. As the low thermal resistance is essentially due to thejunction-PCB resistance, the thermal resistance will be close to 30 ◦ C/W in vacuum.From “Absolute Maximum Ratings”, the maximum operating junction temperature is150 ◦ C. A margin <strong>of</strong> 25 ◦ C is taken. The converter is designed to work with a PCB temperature<strong>of</strong> -40 ◦ C to 85 ◦ C. The maximum dissipated power isP D = T J − T A 125 − 85= = 1.33W,R ϑJA 30where T J is the junction temperature, T A the air (or PCB) temperature, <strong>and</strong> R ϑJA thethermal resistance between junction <strong>and</strong> air.Switching frequencyThe switching frequency f s on the TPS61087 can be chosen to be 650kHz or 1200kHz. Theefficiency can be improved by choosing a f s <strong>of</strong> 650kHz but the ripple will be more important.The bread<strong>board</strong> prototype was designed with f s = 650kHz while the engineering model usesa f s <strong>of</strong> 1.2MHz. The tests show that the efficiency is practically the same with 1.2MHz as itis with 650kHz.<strong>Design</strong> <strong>of</strong> inductor <strong>and</strong> capacitorA worksheet was written to help with the design <strong>of</strong> the converters. The inputs are theminimum input voltage V in,Min , the maximum input voltage V in,Max , the output voltage V out ,the maximum output current I out,Max , the expected efficiency η, the switching frequency f s ,the maximum ratio between the current ripple <strong>and</strong> the average current in the inductor k(∆i L /I av max), <strong>and</strong> the maximum output voltage ripple ∆v max .There are two steps.In the step 1, the inductance is determined using Eqs. 5.26 <strong>and</strong> 5.28. The peak inductorcurrent is found with Eq. 5.31 (it is computed for several values <strong>of</strong> V in in a table <strong>and</strong> themaximum is kept). The desired series resistance <strong>and</strong> the output capacitor are also determined.Results for k = 0.3, ∆v max = 10mV, <strong>and</strong> η = 0.85 are presented in Fig. 5.7. <strong>On</strong> the basis<strong>of</strong> these results, an inductor <strong>and</strong> a capacitor are selected. The inductance <strong>and</strong> the capacitancewill not exactly correspond to the computed values (real components have st<strong>and</strong>ardizedvalues).In the second step, the worksheet is filled up with the values <strong>of</strong> real components (figure5.9). We obtain the real values <strong>of</strong> the maximum current in the inductor <strong>and</strong> <strong>of</strong> ∆v max .58

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