3.20.2 Drain Side Junction Current

Bias-independent calculations:

The bias-independent source side junction current, $I_{sbd}$, is determined as shown below:

$I_{sbd} = ADEJ \cdot J_{sd}(T) + PDEJ \cdot J_{swd}(T) + TFIN \cdot NFIN_{total} \cdot J_{swgd}(T) \qquad (3.567)$

$NV_{tmd} = \dfrac{kT}{q} \cdot NJD \qquad (3.568)$

$XExpBVD = exp \Bigg( - \dfrac{BVD}{NV_{tmd}} \Bigg) \cdot XJBVD \qquad (3.569)$

$T_b = 1 + \dfrac{IJTHDFWD}{I_{sbd}} - XExpBVD \qquad (3.570)$

$V_{jdmFwd} = NV_{tmd} \cdot ln \Bigg( \dfrac{T_b + \sqrt{ {T_b}^2 + 4 \cdot XExpBVD}}{2} \Bigg) \qquad (3.571)$

$T_0 = exp \Bigg( \dfrac{V_{jdmFwd}}{NV_{tmd}} \Bigg) \qquad (3.572)$

$IV_{jdmFwd} = I_{sbd} \Bigg( T_0 - \dfrac{XExpBVD}{T_0} + XExpBVD - 1 \Bigg) \qquad (3.573)$

$D_{slpFwd} = \dfrac{I_{sbd}}{NV_{tmd}} \cdot \Bigg( T_0 + \dfrac{XExpBVD}{T_0} \Bigg) \qquad (3.574)$

$V_{jdmRev} = -BVD - NV_{tmd} \cdot ln \Bigg[ \dfrac{1}{XJBVD} \cdot \Bigg( \dfrac{IJTHDREV}{I_{sbd}} - 1 \Bigg) \Bigg] \qquad (3.575)$

$T_1 = XJBVD \cdot exp \Bigg( - \dfrac{BVD + V_{jdmRev}}{NV_{tmd}} \Bigg) \qquad (3.576)$

$IV_{jdmRev} = I_{sbd} \cdot (1 + T_1) \qquad (3.577)$

$D_{slpRev} = -I_{sbd} \cdot \dfrac{T_1}{NV_{tmd}} \qquad (3.578)$

Bias-dependent calculations:

The bias dependent source side junction current, $I_{ed}$, is determined as shown below:

If $V_{ed} < V_{jdmRev}$,

$I_{ed} = \Bigg[ exp \Bigg( \dfrac{V_{ed}}{NV_{tmd}} \Bigg) - 1 \Bigg] \cdot \Big[ IV_{jdmRev} + D_{slpRev} \cdot (V_{ed} - V_{jdmRev}) \Big] \qquad (3.579)$

Else if $V_{jdmRev} \le V_{ed} \le V_{jdmFwd}$,

$I_{ed} = I_{sbd} \cdot \Bigg[ exp \Bigg( \dfrac{V_{ed}}{NV_{tmd}} \Bigg) + XExpBVD - 1 - XJBVD \cdot exp \Bigg( - \dfrac{BVD + V_{ed}}{NV_{tmd}} \Bigg) \Bigg]$

$(3.580)$

Else $V_{ed} > V_{jdmFwd}$,

$I_{ed} = IV_{jdmFwd} + D_{slpFwd} \cdot (V_{ed} - V_{jdmFwd}) \qquad (3.581)$

Including drain side junction tunneling current:

$\begin{aligned} I_{ed1} &= ADEJ \cdot J_{tsd}(T) \times \\ & \Bigg[ exp \Bigg( \dfrac{-V_{ed} / (k \cdot TNOM / q) / NJTSD(T) \times VTSD}{max(VTSD - V_{ed}, VTSD \cdot 10^{-3} )} \Bigg) - 1 \Bigg] \end{aligned} \qquad (3.582)$

$\begin{aligned} I_{ed2} &= PDEJ \cdot J_{tsswd}(T) \times \\ & \Bigg[ exp \Bigg( \dfrac{-V_{ed} / (k \cdot TNOM / q) / NJTSSWD(T) \times VTSSWD}{max(VTSSWD - V_{ed}, VTSSWD \cdot 10^{-3} )} \Bigg) - 1 \Bigg] \end{aligned} \qquad (3.583)$

$\begin{aligned} I_{ed3} &= TFIN \cdot NFIN_{total} \cdot J_{tsswgd}(T) \times \\ & \Bigg[ exp \Bigg( \dfrac{-V_{ed} / (k \cdot TNOM / q) / NJTSSWGD(T) \times VTSSWGD}{max(VTSSWGD - V_{ed}, VTSSWGD \cdot 10^{-3} )} \Bigg) - 1 \Bigg] \end{aligned} \qquad (3.584)$

$I_{ed} = I_{ed} - (I_{ed1} + I_{ed2} + I_{ed3}) \qquad (3.585)$