📄 b3soipdld.c
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dVdsat_dVg = T3 * dT0_dVg + T2 * dEsatL_dVg + EsatL * T0; dVdsat_dVd = T3 * dT0_dVd + T2 * dEsatL_dVd; dVdsat_dVb = T3 * dT0_dVb + T2 * dEsatL_dVb; if (selfheat) dVdsat_dT = T3 * dT0_dT + T2 * dEsatL_dT + EsatL * T0 * dVgst2Vtm_dT; else dVdsat_dT = 0.0; } else { tmp1 = dLambda_dVg / (Lambda * Lambda); T9 = Abulk * WVCoxRds; T8 = Abulk * T9; T7 = Vgst2Vtm * T9; T6 = Vgst2Vtm * WVCoxRds; T0 = 2.0 * Abulk * (T9 - 1.0 + 1.0 / Lambda); dT0_dVg = 2.0 * (T8 * tmp2 - Abulk * tmp1 + (2.0 * T9 + 1.0 / Lambda - 1.0) * dAbulk_dVg);/* dT0_dVb = 2.0 * (T8 * tmp3 this is equivalent to one below, but simpler + (2.0 * T9 + 1.0 / Lambda - 1.0) * dAbulk_dVg); */ dT0_dVb = 2.0 * (T8 * (2.0 / Abulk * dAbulk_dVb + tmp3) + (1.0 / Lambda - 1.0) * dAbulk_dVb); dT0_dVd = 0.0; if (selfheat) { if (Rds!=0.0) tmp4 = dRds_dT / Rds + dvsattemp_dT / vsattemp; else tmp4 = dvsattemp_dT / vsattemp; dT0_dT = 2.0 * T8 * tmp4; } else tmp4 = dT0_dT = 0.0; T1 = Vgst2Vtm * (2.0 / Lambda - 1.0) + Abulk * EsatL + 3.0 * T7; dT1_dVg = (2.0 / Lambda - 1.0) - 2.0 * Vgst2Vtm * tmp1 + Abulk * dEsatL_dVg + EsatL * dAbulk_dVg + 3.0 * (T9 + T7 * tmp2 + T6 * dAbulk_dVg); dT1_dVb = Abulk * dEsatL_dVb + EsatL * dAbulk_dVb + 3.0 * (T6 * dAbulk_dVb + T7 * tmp3); dT1_dVd = Abulk * dEsatL_dVd; if (selfheat) { tmp4 += dVgst2Vtm_dT / Vgst2Vtm; dT1_dT = (2.0 / Lambda - 1.0) * dVgst2Vtm_dT + Abulk * dEsatL_dT + 3.0 * T7 * tmp4; } else dT1_dT = 0.0; T2 = Vgst2Vtm * (EsatL + 2.0 * T6); dT2_dVg = EsatL + Vgst2Vtm * dEsatL_dVg + T6 * (4.0 + 2.0 * Vgst2Vtm * tmp2); dT2_dVb = Vgst2Vtm * (dEsatL_dVb + 2.0 * T6 * tmp3); dT2_dVd = Vgst2Vtm * dEsatL_dVd; if (selfheat) dT2_dT = Vgst2Vtm * dEsatL_dT + EsatL * dVgst2Vtm_dT + 2.0 * T6 * (dVgst2Vtm_dT + Vgst2Vtm * tmp4); else dT2_dT = 0.0; T3 = sqrt(T1 * T1 - 2.0 * T0 * T2); Vdsat = (T1 - T3) / T0; dVdsat_dVg = (dT1_dVg - (T1 * dT1_dVg - dT0_dVg * T2 - T0 * dT2_dVg) / T3 - Vdsat * dT0_dVg) / T0; dVdsat_dVb = (dT1_dVb - (T1 * dT1_dVb - dT0_dVb * T2 - T0 * dT2_dVb) / T3 - Vdsat * dT0_dVb) / T0; dVdsat_dVd = (dT1_dVd - (T1 * dT1_dVd - T0 * dT2_dVd) / T3) / T0; if (selfheat) dVdsat_dT = (dT1_dT - (T1 * dT1_dT - dT0_dT * T2 - T0 * dT2_dT) / T3 - Vdsat * dT0_dT) / T0; else dVdsat_dT = 0.0; } here->B3SOIPDvdsat = Vdsat;/* Effective Vds (Vdseff) Calculation */ T1 = Vdsat - Vds - pParam->B3SOIPDdelta; dT1_dVg = dVdsat_dVg; dT1_dVd = dVdsat_dVd - 1.0; dT1_dVb = dVdsat_dVb; dT1_dT = dVdsat_dT; T2 = sqrt(T1 * T1 + 4.0 * pParam->B3SOIPDdelta * Vdsat); T0 = T1 / T2; T3 = 2.0 * pParam->B3SOIPDdelta / T2; dT2_dVg = T0 * dT1_dVg + T3 * dVdsat_dVg; dT2_dVd = T0 * dT1_dVd + T3 * dVdsat_dVd; dT2_dVb = T0 * dT1_dVb + T3 * dVdsat_dVb; if (selfheat) dT2_dT = T0 * dT1_dT + T3 * dVdsat_dT; else dT2_dT = 0.0; Vdseff = Vdsat - 0.5 * (T1 + T2); dVdseff_dVg = dVdsat_dVg - 0.5 * (dT1_dVg + dT2_dVg); dVdseff_dVd = dVdsat_dVd - 0.5 * (dT1_dVd + dT2_dVd); dVdseff_dVb = dVdsat_dVb - 0.5 * (dT1_dVb + dT2_dVb); if (selfheat) dVdseff_dT = dVdsat_dT - 0.5 * (dT1_dT + dT2_dT); else dVdseff_dT = 0.0; if (Vdseff > Vds) Vdseff = Vds; /* This code is added to fixed the problem caused by computer precision when Vds is very close to Vdseff. */ diffVds = Vds - Vdseff; here->B3SOIPDVdseff = Vdseff; /* v2.2.3 bug fix *//* Calculate VAsat */ tmp4 = 1.0 - 0.5 * Abulk * Vdsat / Vgst2Vtm; T9 = WVCoxRds * Vgsteff; T8 = T9 / Vgst2Vtm; T0 = EsatL + Vdsat + 2.0 * T9 * tmp4; T7 = 2.0 * WVCoxRds * tmp4; dT0_dVg = dEsatL_dVg + dVdsat_dVg + T7 * (1.0 + tmp2 * Vgsteff) - T8 * (Abulk * dVdsat_dVg - Abulk * Vdsat / Vgst2Vtm + Vdsat * dAbulk_dVg); dT0_dVb = dEsatL_dVb + dVdsat_dVb + T7 * tmp3 * Vgsteff - T8 * (dAbulk_dVb * Vdsat + Abulk * dVdsat_dVb); dT0_dVd = dEsatL_dVd + dVdsat_dVd - T8 * Abulk * dVdsat_dVd; if (selfheat) { if (Rds!=0.0) tmp4 = dRds_dT / Rds + dvsattemp_dT / vsattemp; else tmp4 = dvsattemp_dT / vsattemp; dT0_dT = dEsatL_dT + dVdsat_dT + T7 * tmp4 * Vgsteff - T8 * (Abulk * dVdsat_dT - Abulk * Vdsat * dVgst2Vtm_dT / Vgst2Vtm); } else dT0_dT = 0.0; T9 = WVCoxRds * Abulk; T1 = 2.0 / Lambda - 1.0 + T9; dT1_dVg = -2.0 * tmp1 + WVCoxRds * (Abulk * tmp2 + dAbulk_dVg); dT1_dVb = dAbulk_dVb * WVCoxRds + T9 * tmp3; if (selfheat) dT1_dT = T9 * tmp4; else dT1_dT = 0.0; Vasat = T0 / T1; dVasat_dVg = (dT0_dVg - Vasat * dT1_dVg) / T1; dVasat_dVb = (dT0_dVb - Vasat * dT1_dVb) / T1; dVasat_dVd = dT0_dVd / T1; if (selfheat) dVasat_dT = (dT0_dT - Vasat * dT1_dT) / T1; else dVasat_dT = 0.0;/* Calculate VACLM */ if ((pParam->B3SOIPDpclm > 0.0) && (diffVds > 1.0e-10)) { T0 = 1.0 / (pParam->B3SOIPDpclm * Abulk * pParam->B3SOIPDlitl); dT0_dVb = -T0 / Abulk * dAbulk_dVb; dT0_dVg = -T0 / Abulk * dAbulk_dVg; T2 = Vgsteff / EsatL; T1 = Leff * (Abulk + T2); dT1_dVg = Leff * ((1.0 - T2 * dEsatL_dVg) / EsatL + dAbulk_dVg); dT1_dVb = Leff * (dAbulk_dVb - T2 * dEsatL_dVb / EsatL); dT1_dVd = -T2 * dEsatL_dVd / Esat; if (selfheat) dT1_dT = -T2 * dEsatL_dT / Esat; else dT1_dT = 0.0; T9 = T0 * T1; VACLM = T9 * diffVds; dVACLM_dVg = T0 * dT1_dVg * diffVds - T9 * dVdseff_dVg + T1 * diffVds * dT0_dVg; dVACLM_dVb = (dT0_dVb * T1 + T0 * dT1_dVb) * diffVds - T9 * dVdseff_dVb; dVACLM_dVd = T0 * dT1_dVd * diffVds + T9 * (1.0 - dVdseff_dVd); if (selfheat) dVACLM_dT = T0 * dT1_dT * diffVds - T9 * dVdseff_dT; else dVACLM_dT = 0.0; } else { VACLM = MAX_EXPL; dVACLM_dVd = dVACLM_dVg = dVACLM_dVb = dVACLM_dT = 0.0; }/* Calculate VADIBL */ if (pParam->B3SOIPDthetaRout > 0.0) { T8 = Abulk * Vdsat; T0 = Vgst2Vtm * T8; T1 = Vgst2Vtm + T8; dT0_dVg = Vgst2Vtm * Abulk * dVdsat_dVg + T8 + Vgst2Vtm * Vdsat * dAbulk_dVg; dT1_dVg = 1.0 + Abulk * dVdsat_dVg + Vdsat * dAbulk_dVg; dT1_dVb = dAbulk_dVb * Vdsat + Abulk * dVdsat_dVb; dT0_dVb = Vgst2Vtm * dT1_dVb; dT1_dVd = Abulk * dVdsat_dVd; dT0_dVd = Vgst2Vtm * dT1_dVd; if (selfheat) { dT0_dT = dVgst2Vtm_dT * T8 + Abulk * Vgst2Vtm * dVdsat_dT; dT1_dT = dVgst2Vtm_dT + Abulk * dVdsat_dT; } else dT0_dT = dT1_dT = 0.0; T9 = T1 * T1; T2 = pParam->B3SOIPDthetaRout; VADIBL = (Vgst2Vtm - T0 / T1) / T2; dVADIBL_dVg = (1.0 - dT0_dVg / T1 + T0 * dT1_dVg / T9) / T2; dVADIBL_dVb = (-dT0_dVb / T1 + T0 * dT1_dVb / T9) / T2; dVADIBL_dVd = (-dT0_dVd / T1 + T0 * dT1_dVd / T9) / T2; if (selfheat) dVADIBL_dT = (dVgst2Vtm_dT - dT0_dT/T1 + T0*dT1_dT/T9) / T2; else dVADIBL_dT = 0.0; T7 = pParam->B3SOIPDpdiblb * Vbseff; if (T7 >= -0.9) { T3 = 1.0 / (1.0 + T7); VADIBL *= T3; dVADIBL_dVg *= T3; dVADIBL_dVb = (dVADIBL_dVb - VADIBL * pParam->B3SOIPDpdiblb) * T3; dVADIBL_dVd *= T3; if (selfheat) dVADIBL_dT *= T3; else dVADIBL_dT = 0.0; } else/* Added to avoid the discontinuity problem caused by pdiblcb */ { T4 = 1.0 / (0.8 + T7); T3 = (17.0 + 20.0 * T7) * T4; dVADIBL_dVg *= T3; dVADIBL_dVb = dVADIBL_dVb * T3 - VADIBL * pParam->B3SOIPDpdiblb * T4 * T4; dVADIBL_dVd *= T3; if (selfheat) dVADIBL_dT *= T3; else dVADIBL_dT = 0.0; VADIBL *= T3; } } else { VADIBL = MAX_EXPL; dVADIBL_dVd = dVADIBL_dVg = dVADIBL_dVb = dVADIBL_dT = 0.0; }/* Calculate VA */ T8 = pParam->B3SOIPDpvag / EsatL; T9 = T8 * Vgsteff; if (T9 > -0.9) { T0 = 1.0 + T9; dT0_dVg = T8 * (1.0 - Vgsteff * dEsatL_dVg / EsatL); dT0_dVb = -T9 * dEsatL_dVb / EsatL; dT0_dVd = -T9 * dEsatL_dVd / EsatL; if (selfheat) dT0_dT = -T9 * dEsatL_dT / EsatL; else dT0_dT = 0.0; } else /* Added to avoid the discontinuity problems caused by pvag */ { T1 = 1.0 / (17.0 + 20.0 * T9); T0 = (0.8 + T9) * T1; T1 *= T1; dT0_dVg = T8 * (1.0 - Vgsteff * dEsatL_dVg / EsatL) * T1; T9 *= T1 / EsatL; dT0_dVb = -T9 * dEsatL_dVb; dT0_dVd = -T9 * dEsatL_dVd; if (selfheat) dT0_dT = -T9 * dEsatL_dT; else dT0_dT = 0.0; } tmp1 = VACLM * VACLM; tmp2 = VADIBL * VADIBL; tmp3 = VACLM + VADIBL; T1 = VACLM * VADIBL / tmp3; tmp3 *= tmp3; dT1_dVg = (tmp1 * dVADIBL_dVg + tmp2 * dVACLM_dVg) / tmp3; dT1_dVd = (tmp1 * dVADIBL_dVd + tmp2 * dVACLM_dVd) / tmp3; dT1_dVb = (tmp1 * dVADIBL_dVb + tmp2 * dVACLM_dVb) / tmp3; if (selfheat) dT1_dT = (tmp1 * dVADIBL_dT + tmp2 * dVACLM_dT ) / tmp3; else dT1_dT = 0.0; Va = Vasat + T0 * T1; dVa_dVg = dVasat_dVg + T1 * dT0_dVg + T0 * dT1_dVg; dVa_dVd = dVasat_dVd + T1 * dT0_dVd + T0 * dT1_dVd; dVa_dVb = dVasat_dVb + T1 * dT0_dVb + T0 * dT1_dVb; if (selfheat) dVa_dT = dVasat_dT + T1 * dT0_dT + T0 * dT1_dT; else dVa_dT = 0.0;/* Calculate Ids */ CoxWovL = model->B3SOIPDcox * Weff / Leff; beta = ueff * CoxWovL; dbeta_dVg = CoxWovL * dueff_dVg + beta * dWeff_dVg / Weff ; dbeta_dVd = CoxWovL * dueff_dVd; dbeta_dVb = CoxWovL * dueff_dVb + beta * dWeff_dVb / Weff ; if (selfheat) dbeta_dT = CoxWovL * dueff_dT; else dbeta_dT = 0.0; T0 = 1.0 - 0.5 * Abulk * Vdseff / Vgst2Vtm; dT0_dVg = -0.5 * (Abulk * dVdseff_dVg - Abulk * Vdseff / Vgst2Vtm + Vdseff * dAbulk_dVg) / Vgst2Vtm; dT0_dVd = -0.5 * Abulk * dVdseff_dVd / Vgst2Vtm; dT0_dVb = -0.5 * (Abulk * dVdseff_dVb + dAbulk_dVb * Vdseff) / Vgst2Vtm; if (selfheat) dT0_dT = -0.5 * (Abulk * dVdseff_dT - Abulk * Vdseff / Vgst2Vtm * dVgst2Vtm_dT) / Vgst2Vtm; else dT0_dT = 0.0; fgche1 = Vgsteff * T0; dfgche1_dVg = Vgsteff * dT0_dVg + T0; dfgche1_dVd = Vgsteff * dT0_dVd; dfgche1_dVb = Vgsteff * dT0_dVb; if (selfheat) dfgche1_dT = Vgsteff * dT0_dT; else dfgche1_dT = 0.0; T9 = Vdseff / EsatL; fgche2 = 1.0 + T9; dfgche2_dVg = (dVdseff_dVg - T9 * dEsatL_dVg) / EsatL; dfgche2_dVd = (dVdseff_dVd - T9 * dEsatL_dVd) / EsatL; dfgche2_dVb = (dVdseff_dVb - T9 * dEsatL_dVb) / EsatL; if (selfheat) dfgche2_dT = (dVdseff_dT - T9 * dEsatL_dT) / EsatL; else dfgche2_dT = 0.0; gche = beta * fgche1 / fgche2; dgche_dVg = (beta * dfgche1_dVg + fgche1 * dbeta_dVg - gche * dfgche2_dVg) / fgche2; dgche_dVd = (beta * dfgche1_dVd + fgche1 * dbeta_dVd - gche * dfgche2_dVd) / fgche2; dgche_dVb = (beta * dfgche1_dVb + fgche1 * dbeta_dVb - gche * dfgche2_dVb) / fgche2; if (selfheat) dgche_dT = (beta * dfgche1_dT + fgche1 * dbeta_dT - gche * dfgche2_dT) / fgche2; else dgche_dT = 0.0; T0 = 1.0 + gche * Rds; T9 = Vdseff / T0; Idl = gche * T9;/* Whoa, these formulas for the derivatives of Idl are convoluted, but I
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