Corrections to the Equations in the 1995 VDMOS Model Paper
Many equations are incorrect in the VDMOS model paper by I. Budihardjo and P. O. Lauritzen, " The
lumped-charge power MOSFET model, including parameter extraction", IEEE Trans. Power Electronics,
Vol. 10, No. 5, May 1995.
The corrected equations are listed below. Equations that are not listed should be correct in the original
paper. If you find additional corrections or changes please send them to: plauritz@ee.washington.edu.
[
]
γ B2 = (VTB − V fbB − φSB ) 2 φSB = GB
1.
The equation in the text following (5) should be:
2.
Equation (14) should be:
qadD = mCGDonγ D (φ t × e(ψ SD φ t ) −ψ SD − φt )
3.
Equation (15) should be:
qiD = QCD − qadD
4.
The equation immediately following (15) should be:
5.
6.
7.
8.
cross-sectional area of the drain.
In Equation (16) the symbol q daD should be qadD .
The symbol GD , which is first used in (23), is defined in (29) and (B10)
In (27) VGDH and VGDL are the gate-drain voltages at the intersections of regions 4 & 3 in Figure 6.
Equation (28) should be:
QGL
9.
CGDonγ D = Adrain 2 qε s N D where Adrain is the
12
 4(VGDL − V fbD )  
CGDonGD 
− 1 + 1 −
  + CGDon (VGSM − V fbD ) where VGSM is the gate=
2
GD


 
source "Miller" voltage in the horizontal region of Figure 6.
The first sentence in Appendix A and Equation (A1) should be: The interface charge QCD described in
equation H5 of Appendix H of [12] for an N-type substrate can be expressed by
QCD = m Adrain 2qε s N D

ψ 
 − 2φFN
⋅ ϕ t exp  sD  − ψ sD − φt + exp 

 φt 
 φt
10. Equation (A2) should be:
qadD = mCGDonγ D
11. Equation (A3) should be:
qiD = QCD − qadD
12. Equation (A4) should be:
ψ sD = vGD − V fbD +
13. Equations (B6) and (B8) should be:
14. Equation (B7) should be:
Kp =
 
 − ψ sD + VBD
 ⋅ φt exp 
φt
 

(φ × e
(ψ sD φt )
t
Wµ CGSon
LAbody
16. Equation (B10) should be:
17. Equation (B13) should be:
GB = γ B = Abody
GD = γ D = Adrain
)
qiD + qadD
CGDon
where Abody is the area of the body.
VTB = V fbD + φ SB + (GBφ SB )
15. Equation (B9) should be:
− ψ sD − φ t

 V  
 + ψ sD − φt exp  BD  

 φt  
2q ε s N A
2
CGSon
2qε s N D
2
CGDon
VTD = V fbD − φ DB − (GDφ DB )
Latest update: April 11, 2001 by plauritz@ee.washington.edu