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Selecting eGaN® FET Optimal On-Resistance - EPC

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WHITE PAPER: WP011<br />

Selecting eGaN® FET Optimal On-Resistance<br />

• Diode losses will vary with die size, but this variation is neglected for the optimization process for simplicity. The diode losses will vary inversely to other charge<br />

dependent losses with die size (will actually get smaller with increased die size), but this variation is assumed small in comparison to that of the charge dependent<br />

losses.<br />

• The current at turn-on and turn-off are assumed equal and the influence of inductor current ripple is ignored. To quantify the error of doing so, consider turn on at<br />

I L<br />

-I P<br />

and turn off at I L<br />

+I P<br />

, then the turn-on/off losses are:<br />

[<br />

V ⋅ ( I + I ) V ⋅ ( I<br />

k +<br />

2<br />

2<br />

− I )<br />

k<br />

]<br />

⋅Q<br />

⋅ A ⋅ f<br />

[<br />

V ⋅ ( I ) V ⋅ ( I ) V ⋅ ( I ) V ⋅ ( I<br />

= k + k + k −<br />

2<br />

2<br />

2<br />

2<br />

)<br />

k<br />

]<br />

[<br />

V ⋅ ( I ) V ⋅ ( I ) ( )<br />

]<br />

= k + k − k ⋅Q<br />

⋅ A ⋅ fSW<br />

2<br />

2<br />

BUS<br />

BUS<br />

BUS<br />

L<br />

L<br />

L<br />

P<br />

ON<br />

ON<br />

BUS<br />

BUS<br />

BUS<br />

P<br />

L<br />

L<br />

ON<br />

OFF<br />

P<br />

OFF<br />

OFF<br />

BUS<br />

P<br />

SW , A<br />

SW , A<br />

ON<br />

SW<br />

BUS<br />

P<br />

OFF<br />

⋅ Q<br />

SW , A<br />

⋅ A⋅<br />

f<br />

SW<br />

So the error is an underestimation for eGaN FETs:<br />

I<br />

p<br />

( kON<br />

kOFF)<br />

I<br />

L<br />

⋅ k<br />

≈<br />

1<br />

3<br />

I<br />

I<br />

p<br />

L<br />

≈<br />

1<br />

6<br />

I<br />

I<br />

pp<br />

L<br />

for a peak to peak ripple = 30%, then error = 5% (even smaller for MOSFET, where k ON<br />

and k OFF<br />

values are almost equal.<br />

• Error for soft-<strong>switching</strong> devices where Q G<br />

is used on driver loss and incorrectly includes Q GD<br />

. This error, Q GD<br />

/Q G<br />

is about 30% over estimation of soft <strong>switching</strong> gate<br />

drive losses.<br />

Table 3: State of the art MOSFETs normalized to 1 Ω typical R DS(ON)<br />

for difference voltage ratings<br />

EPC – EFFICIENT POWER CONVERSION CORPORATION | WWW.EPC-CO.COM | COPYRIGHT 2013 | | PAGE 9

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