📄 b3v1ald.c
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+ (ckt->CKTgmin/m) * 0.5; here->BSIM3v1Acbs += here->BSIM3v1Agbs * (vbs - 0.5); } DrainSatCurrent = here->BSIM3v1AdrainArea * model->BSIM3v1AjctSatCurDensity; if (here->BSIM3v1AdrainArea <= 0.0) DrainSatCurrent = 1.0e-14; if (DrainSatCurrent <= 0.0) { here->BSIM3v1Agbd = ckt->CKTgmin/m; here->BSIM3v1Acbd = here->BSIM3v1Agbd * vbd; } else if (vbd <= -3*CONSTvt0) { arg=3*CONSTvt0/(vbd*CONSTe); arg = arg * arg * arg; here->BSIM3v1Acbd = -DrainSatCurrent*(1+arg)+(ckt->CKTgmin/m)*vbd; here->BSIM3v1Agbd = DrainSatCurrent*3*arg/vbd+(ckt->CKTgmin/m); } else if (vbd < 0.5) { evbd = exp(vbd/CONSTvt0); here->BSIM3v1Agbd = DrainSatCurrent * evbd / CONSTvt0 + (ckt->CKTgmin/m); here->BSIM3v1Acbd = DrainSatCurrent * (evbd - 1.0) + (ckt->CKTgmin/m) * vbd; } else { evbd = exp(0.5/CONSTvt0); here->BSIM3v1Agbd = DrainSatCurrent * evbd / CONSTvt0 + (ckt->CKTgmin/m); here->BSIM3v1Acbd = DrainSatCurrent * (evbd - 1.0) + (ckt->CKTgmin/m) * 0.5; here->BSIM3v1Acbd += here->BSIM3v1Agbd * (vbd - 0.5); } if (vds >= 0.0) { /* normal mode */ here->BSIM3v1Amode = 1; Vds = vds; Vgs = vgs; Vbs = vbs; } else { /* inverse mode */ here->BSIM3v1Amode = -1; Vds = -vds; Vgs = vgd; Vbs = vbd; } ChargeComputationNeeded = ((ckt->CKTmode & (MODEAC | MODETRAN | MODEINITSMSIG)) || ((ckt->CKTmode & MODETRANOP) && (ckt->CKTmode & MODEUIC))) ? 1 : 0; T0 = Vbs - pParam->BSIM3v1Avbsc - 0.001; T1 = sqrt(T0 * T0 - 0.004 * pParam->BSIM3v1Avbsc); Vbseff = pParam->BSIM3v1Avbsc + 0.5 * (T0 + T1); dVbseff_dVb = 0.5 * (1.0 + T0 / T1); if (Vbseff > 0.0) { T0 = pParam->BSIM3v1Aphi / (pParam->BSIM3v1Aphi + Vbseff); Phis = pParam->BSIM3v1Aphi * T0; dPhis_dVb = -T0 * T0; sqrtPhis = pParam->BSIM3v1Aphis3 / (pParam->BSIM3v1Aphi + 0.5 * Vbseff); dsqrtPhis_dVb = -0.5 * sqrtPhis * sqrtPhis / pParam->BSIM3v1Aphis3; } else { Phis = pParam->BSIM3v1Aphi - Vbseff; dPhis_dVb = -1.0; sqrtPhis = sqrt(Phis); dsqrtPhis_dVb = -0.5 / sqrtPhis; } Xdep = pParam->BSIM3v1AXdep0 * sqrtPhis / pParam->BSIM3v1AsqrtPhi; dXdep_dVb = (pParam->BSIM3v1AXdep0 / pParam->BSIM3v1AsqrtPhi) * dsqrtPhis_dVb; Leff = pParam->BSIM3v1Aleff;/* Vth Calculation */ if ((T1 = 1.0 + pParam->BSIM3v1Advt2 * Vbseff) < 1.0e-10) T1 = 1.0E-10; if ((T2 = 1.0 + pParam->BSIM3v1Advt2w * Vbseff) < 1.0E-10) T2 = 1.0E-10; T3 = sqrt(Xdep); lt1 = model->BSIM3v1Afactor1 * T3 * T1; dlt1_dVb = model->BSIM3v1Afactor1 * (0.5 / T3 * T1 * dXdep_dVb + T3 * pParam->BSIM3v1Advt2); ltw = model->BSIM3v1Afactor1 * T3 * T2; dltw_dVb = model->BSIM3v1Afactor1 * (0.5 / T3 * T2 * dXdep_dVb + T3 * pParam->BSIM3v1Advt2w); T0 = -0.5 * pParam->BSIM3v1Advt1 * Leff / lt1; if (T0 > -EXP_THRESHOLD) { T1 = exp(T0); dT1_dVb = -T0 / lt1 * T1 * dlt1_dVb; } else { T1 = MIN_EXP; dT1_dVb = 0.0; } Theta0 = T1 * (1.0 + 2.0 * T1); dTheta0_dVb = (1.0 + 4.0 * T1) * dT1_dVb; here->BSIM3v1Athetavth = pParam->BSIM3v1Advt0 * Theta0; T0 = pParam->BSIM3v1Avbi - pParam->BSIM3v1Aphi; Delt_vth = here->BSIM3v1Athetavth * T0; dDelt_vth_dVb = pParam->BSIM3v1Advt0 * dTheta0_dVb * T0; T0 = -0.5 * pParam->BSIM3v1Advt1w * pParam->BSIM3v1Aweff * Leff / ltw; if (T0 > -EXP_THRESHOLD) { T1 = exp(T0); dT1_dVb = -T0 / ltw * T1 * dltw_dVb; } else { T1 = MIN_EXP; dT1_dVb = 0.0; } T2 = T1 * (1.0 + 2.0 * T1); dT2_dVb = (1.0 + 4.0 * T1) * dT1_dVb; T0 = pParam->BSIM3v1Advt0w * T2; T1 = pParam->BSIM3v1Avbi - pParam->BSIM3v1Aphi; T2 = T0 * T1; dT2_dVb = pParam->BSIM3v1Advt0w * dT2_dVb * T1; TempRatio = ckt->CKTtemp / model->BSIM3v1Atnom - 1.0; T0 = sqrt(1.0 + pParam->BSIM3v1Anlx / Leff); T1 = pParam->BSIM3v1Ak1 * (T0 - 1.0) * pParam->BSIM3v1AsqrtPhi + (pParam->BSIM3v1Akt1 + pParam->BSIM3v1Akt1l / Leff + pParam->BSIM3v1Akt2 * Vbseff) * TempRatio; tmp2 = model->BSIM3v1Atox / (pParam->BSIM3v1Aweff + pParam->BSIM3v1Aw0) * pParam->BSIM3v1Aphi; dDIBL_Sft_dVd = (pParam->BSIM3v1Aeta0 + pParam->BSIM3v1Aetab * Vbseff) * pParam->BSIM3v1Atheta0vb0; DIBL_Sft = dDIBL_Sft_dVd * Vds; Vth = model->BSIM3v1Atype * pParam->BSIM3v1Avth0 + pParam->BSIM3v1Ak1 * (sqrtPhis - pParam->BSIM3v1AsqrtPhi) - pParam->BSIM3v1Ak2 * Vbseff - Delt_vth - T2 + (pParam->BSIM3v1Ak3 + pParam->BSIM3v1Ak3b * Vbseff) * tmp2 + T1 - DIBL_Sft; here->BSIM3v1Avon = Vth; dVth_dVb = pParam->BSIM3v1Ak1 * dsqrtPhis_dVb - pParam->BSIM3v1Ak2 - dDelt_vth_dVb - dT2_dVb + pParam->BSIM3v1Ak3b * tmp2 - pParam->BSIM3v1Aetab * Vds * pParam->BSIM3v1Atheta0vb0 + pParam->BSIM3v1Akt2 * TempRatio; dVth_dVd = -dDIBL_Sft_dVd; /* Calculate n */ tmp2 = pParam->BSIM3v1Anfactor * EPSSI / Xdep; tmp3 = pParam->BSIM3v1Acdsc + pParam->BSIM3v1Acdscb * Vbseff + pParam->BSIM3v1Acdscd * Vds; n = 1.0 + (tmp2 + tmp3 * Theta0 + pParam->BSIM3v1Acit) / model->BSIM3v1Acox; if (n > 1.0) { dn_dVb = (-tmp2 / Xdep * dXdep_dVb + tmp3 * dTheta0_dVb + pParam->BSIM3v1Acdscb * Theta0) / model->BSIM3v1Acox; dn_dVd = pParam->BSIM3v1Acdscd * Theta0 / model->BSIM3v1Acox; } else { n = 1.0; dn_dVb = dn_dVd = 0.0; }/* Poly Gate Si Depletion Effect */ T0 = pParam->BSIM3v1Avfb + pParam->BSIM3v1Aphi; if (model->BSIM3v1AngateGiven && (Vgs > T0)) { T1 = 1.0e6 * Charge_q * EPSSI * pParam->BSIM3v1Angate / (model->BSIM3v1Acox * model->BSIM3v1Acox); T4 = sqrt(1.0 + 2.0 * (Vgs - T0) / T1); T2 = T1 * (T4 - 1.0); T3 = 0.5 * T2 * T2 / T1; if (T3 < 1.12) { Vgs_eff = T0 + T2; dVgs_eff_dVg = 1.0 / T4; } else { Vgs_eff = Vgs - 1.12; dVgs_eff_dVg = 1.0; } } else { Vgs_eff = Vgs; dVgs_eff_dVg = 1.0; } Vgst = Vgs_eff - Vth;/* Effective Vgst (Vgsteff) Calculation */ Vtm = model->BSIM3v1Avtm; T10 = 2.0 * n * Vtm; VgstNVt = Vgst / T10; if (VgstNVt < -EXP_THRESHOLD) { T1 = T10 * MIN_EXP; dT1_dVg = dT1_dVd = dT1_dVb = 0.0; } else if (VgstNVt > EXP_THRESHOLD) { T1 = Vgst; dT1_dVg = dVgs_eff_dVg; dT1_dVd = -dVth_dVd; dT1_dVb = -dVth_dVb; } else { ExpVgst = exp(VgstNVt); T1 = T10 * log(1.0 + ExpVgst); dT1_dVg = ExpVgst / (1.0 + ExpVgst); dT1_dVb = -dT1_dVg * (dVth_dVb + Vgst / n * dn_dVb) + T1 / n * dn_dVb; dT1_dVd = -dT1_dVg * (dVth_dVd + Vgst / n * dn_dVd) + T1 / n * dn_dVd; dT1_dVg *= dVgs_eff_dVg; } T2 = model->BSIM3v1Atox / (pParam->BSIM3v1Aweff + pParam->BSIM3v1Aw0); ExpArg = (2.0 * pParam->BSIM3v1Avoff - Vgst) / T10; if (ExpArg < -EXP_THRESHOLD) { T2 = 1.0; dT2_dVg = dT2_dVd = dT2_dVb = 0.0; } else if (ExpArg > EXP_THRESHOLD) { T2 = 1.0 + 2.0 * n * model->BSIM3v1Acox / pParam->BSIM3v1Acdep0 * MAX_EXP; dT2_dVg = dT2_dVd = dT2_dVb = 0.0; } else { dT2_dVg = -model->BSIM3v1Acox / Vtm / pParam->BSIM3v1Acdep0 * exp(ExpArg); T2 = 1.0 - T10 * dT2_dVg; dT2_dVd = -dT2_dVg * (dVth_dVd - 2.0 * Vtm * ExpArg * dn_dVd) + (T2 - 1.0) / n * dn_dVd; dT2_dVb = -dT2_dVg * (dVth_dVb - 2.0 * Vtm * ExpArg * dn_dVb) + (T2 - 1.0) / n * dn_dVb; dT2_dVg *= dVgs_eff_dVg; } Vgsteff = T1 / T2; dVgsteff_dVg = (T2 * dT1_dVg - T1 * dT2_dVg) / (T2 * T2); dVgsteff_dVd = (T2 * dT1_dVd - T1 * dT2_dVd) / (T2 * T2); dVgsteff_dVb = (T2 * dT1_dVb - T1 * dT2_dVb) / (T2 * T2);/* Calculate Effective Channel Geometry */ Weff = pParam->BSIM3v1Aweff - 2.0 * (pParam->BSIM3v1Adwg * Vgsteff + pParam->BSIM3v1Adwb * (sqrtPhis - pParam->BSIM3v1AsqrtPhi)); dWeff_dVg = -2.0 * pParam->BSIM3v1Adwg; dWeff_dVb = -2.0 * pParam->BSIM3v1Adwb * dsqrtPhis_dVb; if (Weff < 1.0e-8) { Weff = 1.0e-8; dWeff_dVg = dWeff_dVb = 0; } Rds = pParam->BSIM3v1Ards0 * (1.0 + pParam->BSIM3v1Aprwg * Vgsteff + pParam->BSIM3v1Aprwb * (sqrtPhis - pParam->BSIM3v1AsqrtPhi)); if (Rds > 0.0) { dRds_dVg = pParam->BSIM3v1Ards0 * pParam->BSIM3v1Aprwg; dRds_dVb = pParam->BSIM3v1Ards0 * pParam->BSIM3v1Aprwb * dsqrtPhis_dVb; } else { Rds = dRds_dVg = dRds_dVb = 0.0; } WVCox = Weff * pParam->BSIM3v1Avsattemp * model->BSIM3v1Acox; WVCoxRds = WVCox * Rds; /* Calculate Abulk */ T0 = 1.0 / (1.0 + pParam->BSIM3v1Aketa * Vbseff); dT0_dVb = -pParam->BSIM3v1Aketa * T0 * T0; T1 = 0.5 * pParam->BSIM3v1Ak1 / sqrtPhis; dT1_dVb = -T1 / sqrtPhis * dsqrtPhis_dVb; tmp1 = Leff + 2.0 * sqrt(pParam->BSIM3v1Axj * Xdep); T5 = Leff / tmp1; tmp2 = pParam->BSIM3v1Aa0 *T5; tmp3 = pParam->BSIM3v1Aweff + pParam->BSIM3v1Ab1; tmp4 = pParam->BSIM3v1Ab0 / tmp3; T2 = tmp2 + tmp4; dT2_dVb = -tmp2 / tmp1 * sqrt(pParam->BSIM3v1Axj / Xdep) * dXdep_dVb; T6 = T5 * T5; T7 = T5 * T6; Abulk0 = T0 * (1.0 + T1 * T2); if (Abulk0 < 0.01) Abulk0= 0.01; T8 = pParam->BSIM3v1Aags * pParam->BSIM3v1Aa0 * T7; dAbulk_dVg = -T1 * T0 * T8; Abulk = Abulk0 + dAbulk_dVg * Vgsteff; if (Abulk < 0.01) Abulk= 0.01; dAbulk0_dVb = T0 * T1 * dT2_dVb + T0 * T2 * dT1_dVb + (1.0 + T1 * T2) * dT0_dVb; dAbulk_dVb = dAbulk0_dVb - T8 * Vgsteff * (T1 * (3.0 * T0 * dT2_dVb / tmp2 + dT0_dVb) + T0 * dT1_dVb); /* Mobility calculation */ if (model->BSIM3v1AmobMod == 1) { T0 = Vgsteff + Vth + Vth; T2 = pParam->BSIM3v1Aua + pParam->BSIM3v1Auc * Vbseff; T3 = T0 / model->BSIM3v1Atox; Denomi = 1.0 + T3 * (T2 + pParam->BSIM3v1Aub * T3); T1 = T2 / model->BSIM3v1Atox + 2.0 * pParam->BSIM3v1Aub * T3 / model->BSIM3v1Atox; dDenomi_dVg = T1; dDenomi_dVd = T1 * 2.0 * dVth_dVd; dDenomi_dVb = T1 * 2.0 * dVth_dVb + pParam->BSIM3v1Auc * T3; } else if (model->BSIM3v1AmobMod == 2) { Denomi = 1.0 + Vgsteff / model->BSIM3v1Atox * (pParam->BSIM3v1Aua + pParam->BSIM3v1Auc * Vbseff + pParam->BSIM3v1Aub * Vgsteff / model->BSIM3v1Atox); T1 = (pParam->BSIM3v1Aua + pParam->BSIM3v1Auc * Vbseff) / model->BSIM3v1Atox
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