Model Equations

Equivalent Circuit

Ids Equations

(-1)

(-2)

(-3)

(-4)

For original model (idsmod=0)

(-5)

For the symmetric model (idsmod=1)

(-6)

(-7)

(-8)

(-9)

(-10)

(-11)

(-12)

(-13)

(-14)

idsmod=2

(-15)

(-16)

(-17)

(-18)

idsmod=3

(-19)

(-20)

(-21)

(-22)

(-23)

(-24)

(-25)

(-26)

(-27)

Igs and Igd Equations

When igmod=0

(-28)

(-29)

When igmod=1

(-30)

(-31)

When igmod=2

(-32)

(-33)

Temperature Equations

(-34)

(-35)

(-36)

(-37)

(-38)

(-39)

(-40)

Charge Equations

(-41)

(-42)

(-43)

(-44)

For capmod=0

Cgs = CGSP

Cgd = CGDP

Qgs = CGSP * Vgsc

Qgd = CGDP * Vgdc

For capmod=1

Cgs = CGSP+CGS0 x ( 1 + tanh(Phi1))( 1 + tanh(Phi2))

Cgd = CGDP + CGD0 x ((1 - P111 + tanh(Phi3)) (1 + tanh(Phi4)) + 2 x P111)

Qgs = CGSP x Vgsc

Qgd = CGDP x Vgdc

For capmod=2

Lc1 = ln(cosh(Phi1))

Lc10 = ln(cosh(P10 + P11 X Vds))

Qgs = CGSP x Vgsc + CGS0 x ((Phi1 + Lc1 - Qgs0) x (1 + tanh(Phi2)) / P11 + 2 x P111 x Vgsc

Qgs0 = P10 + P111 x Vds + Lc10

Lc4 = 1n(cosh(Phi4))

Lc40 = 1n(cosh(P40 -P111 x Vds))

Qgd = CGDP x Vgdc + CGD0 x ((Phi4 + Lc4 - Qgd0) x (1 - P111 + tanh(Phi3)) / P41 + 2 x P111 x Vgdc

Qgd0 = P40 - P111 x Vds + Lc40

For capmod=3

y = (((Vgsc+2.0)/P10) - 1.0)

Cgsdep1 = pow((m + (y x y)), -1.5) x m

tanh1 = 1 + tanh(P10 + P11 x (Vgsc + P111 x Vds))

tanh2 = (1 + tanh(P20 + P21 x Vds))

tanh3 = 1 - P111 + tanh(P30 + P31 x Vds)

tanh4 = 1+ tanh(P40 + P41 x (Vgdc + Vds x (1 - P111)))

Cgs = CGS0 x (tanh1 + P222 x Cgsdep1) x tanh2 + CGSP

Cgd = CGD0 x (tanh3 x tanh4 + 2 x P111) + CGDP

Qgs = Cgs x Vgsc

Qgd = Cgd x Vgdc

For capmod=4

Lc1 = ln(cosh(Phi1))

LC10 = ln(cosh(P10 +P111 x Vds)

Qgsdepl = P222 x (P10 + Vgsc) x pow(m + pow(-1 + (Vgsc/P10),2), -0.5)

Qgsdep10 = P222 x P10 x pw((m+1), -0.5)

Qgs0 = P10 + P111xVds + Lc10

Qgs = CGS0 x ((Phi1 + Lc1 - Qgs0 + Qgsdep1 - Qgsdep10) x (1 - P111 + tanh(Phi2))/P11 + 2 x P111 x Vgsc) + CGSP x Vgsc

Lc4 = ln(cosh(Phi4))

Lc40 = ln(cosh(P40 - P111 x Vds)

Qgd0 = P40 - p111 x Vds + Lc40

Qgd = Cgd0 x ((Phi4 + Lc4 - Qgd0) x (1 - P111 + tanh(Phi3))/P41 + 2 x P111 x Vgdc) + CGDP x Vgdc

Excess Phase

In an actual device, the measured phase shift is often larger than the shift predicted by the lumped model. The excess-phase parameter td accounts for this extra phase shift at high frequencies. An all-pass, second-order Bessel function filter creates this extra phase shift. The frequency response of this filter is:

(-45)