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AN2842 Datasheet(PDF) 13 Page - STMicroelectronics |
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AN2842 Datasheet(HTML) 13 Page - STMicroelectronics |
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13 / 22 page ![]() AN2842 Approach to the study Doc ID 15110 Rev 1 13/22 2.4 Temperature imbalance between devices As explained in the previous paragraph, an important parameter for current imbalance in a parallel configuration is working temperature. Analytical proof of thermal instability is derived from the expression of the drain current ID in the active region of the ID-VDS plane of a power MOSFET device. In this region, the drain current is independent of the drain-source voltage: where Vth is the threshold voltage. The constant K' depends on the device geometric characteristics and is given by: where: ● W: channel perimeter ● L: channel length ● µc: electron mobility ● Cox: gate oxide capacitance The current temperature coefficient at low drain current is related to geometrical and physical parameters of the device by: since both ( ∂V th/ ∂T) and (∂K’/ ∂T) are negative. 2.5 Influence of the differences between the power circuit components The principal factors linked to the temperature for this analysis are the threshold voltage and RDS(on). Each of the two factors operate in different ways. While an increasing temperature generates a decrease in threshold voltage, the RDS(on) increases with temperature. The effects of the two parameters are opposite. In fact, if the threshold voltage decreases, the device, in the same condition of VGS, carries more current. However, more current means greater losses and consequently a higher temperature. This phenomenon is iterative (known as thermal runaway) and could cause the failure of the device. Losses linked to this parameter are evident during switching and in particular during turn-on and turn-off operations, and in a systems with high frequency they are highly important. When the temperature changes, the contribution linked to the RDS(on) parameter is different. This factor plays a fundamental role during the conduction phase. In fact, during this period, if the temperature increases, the RDS(on) also increases and this limits the current value during the conduction operation. So, while in a first phase the conduction losses are more significant than switching losses; when the temperature increases, the second become predominant over the first. In the end, the working temperature is a factor that plays an important role in the parallel configuration, and for this reason if the devices are mounted to 2 Th GS ' D ) V V ( K I − ⋅ = OX c ' C ) L W ( 2 1 K ⋅ µ = T K ) V V ( T V ) V V ( k 2 T I ' 2 th GS th th GS ' D ∂ ∂ ⋅ − − ∂ ∂ ⋅ − ⋅ = ∂ ∂ |
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