![](data:image/jpeg;base64,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)
MTP3055VL
http://onsemi.com
4
POWER MOSFET SWITCHING
Switching behavior is most easily modeled and predicted
by recognizing that the power MOSFET is charge
controlled. The lengths of various switching intervals (∆t)
are determined by how fast the FET input capacitance can
be charged by current from the generator.
The published capacitance data is difficult to use for
calculating rise and fall because drain–gate capacitance
varies greatly with applied voltage. Accordingly, gate
charge data is used. In most cases, a satisfactory estimate of
average input current (IG(AV)) can be made from a
rudimentary analysis of the drive circuit so that
t = Q/IG(AV)
During the rise and fall time interval when switching a
resistive load, VGS remains virtually constant at a level
known a s the plateau voltage, VSGP. Therefore, rise and fall
times may be approximated by the following:
tr = Q2 x RG/(VGG – VGSP)
tf = Q2 x RG/VGSP
where
VGG = the gate drive voltage, which varies from zero to VGG
RG = the gate drive resistance
and Q2 and VGSP are read from the gate charge curve.
During the turn–on and turn–off delay times, gate current is
not constant. The simplest calculation uses appropriate
values from the capacitance curves in a standard equation for
voltage change in an RC network. The equations are:
td(on) = RG Ciss In [VGG/(VGG – VGSP)]
td(off) = RG Ciss In (VGG/VGSP)
The capacitance (Ciss) is read from the capacitance curve a t
a voltage corresponding to the off–state condition when
calculating t d(on) and is read at a voltage corresponding to the
on–state when calculating td(off).
At high switching speeds, parasitic circuit elements
complicate the analysis. The inductance of the MOSFET
source lead, inside the package and in the circuit wiring
which is common to both the drain and gate current paths,
produces a voltage at the source which reduces the gate drive
current. The voltage is determined by Ldi/dt, but since di/dt
is a function of drain current, the mathematical solution is
complex. The MOSFET output capacitance also
complicates the mathematics. And finally, MOSFETs have
finite internal gate resistance which effectively adds to the
resistance of the driving source, but the internal resistance
is difficult to measure and, consequently, is not specified.
The resistive switching time variation versus gate
resistance (Figure 9) shows how typical switching
performance is a ffected by the parasitic circuit elements. If
the parasitics were not present, the slope of the curves would
maintain a value of unity regardless of the switching speed.
The circuit used to obtain the data is constructed to minimize
common inductance in the drain and gate circuit loops and
is believed readily achievable with board mounted
components. Most power electronic loads are inductive; the
data in the figure is taken with a resistive load, which
approximates an optimally snubbed inductive load. Power
MOSFETs may be safely operated into an inductive load;
however, snubbing reduces switching losses.
10 5 0 10 20 25
GATE-TO-SOURCE OR DRAIN-TO-SOURCE VOLTAGE (VOLTS)
C, CAPACITANCE (pF)
Figure 7. Capacitance Variation
VGS VDS
1400
1000
600
0
Ciss
Coss
Crss
515
Crss
1200
800
400
200
VDS = 0 V VGS = 0 V
Ciss
TJ = 25°C