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98 lines
2.3 KiB
98 lines
2.3 KiB
/***************************************************************************
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* Copyright (C) 2003-2005 by David Saxton *
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* david@bluehaze.org *
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* *
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* This program is free software; you can redistribute it and/or modify *
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* it under the terms of the GNU General Public License as published by *
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* the Free Software Foundation; either version 2 of the License, or *
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* (at your option) any later version. *
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***************************************************************************/
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#include "matrix.h"
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#include "nonlinear.h"
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#include <cmath>
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using namespace std;
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const double KTL_MAX_DOUBLE = 1.7976931348623157e+308; ///< 7fefffff ffffffff
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const int KTL_MAX_EXPONENT = int( log( KTL_MAX_DOUBLE ) );
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NonLinear::NonLinear()
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: Element()
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{
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}
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#ifndef MIN
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# define MIN(x,y) (((x) < (y)) ? (x) : (y))
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#endif
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// The function computes the exponential pn-junction current.
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double NonLinear::diodeCurrent( double v, double I_S, double Vte ) const
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{
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return I_S * (exp( MIN( v / Vte, KTL_MAX_EXPONENT ) ) - 1);
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}
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double NonLinear::diodeConductance( double v, double I_S, double Vte ) const
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{
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return I_S * exp( MIN( v / Vte, KTL_MAX_EXPONENT ) ) / Vte;
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}
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double NonLinear::diodeVoltage( double V, double V_prev, double V_T, double Vcrit ) const
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{
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if ( V > Vcrit && fabs( V - V_prev ) > 2 * V_T )
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{
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if ( V_prev > 0 )
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{
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double arg = (V - V_prev) / V_T;
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if (arg > 0)
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V = V_prev + V_T * (2 + log( arg - 2 ));
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else
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V = V_prev - V_T * (2 + log( 2 - arg ));
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}
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else
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V = (V_prev < 0) ? (V_T * log (V / V_T)) : Vcrit;
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}
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else
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{
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if ( V < 0 )
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{
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double arg = (V_prev > 0) ? (-1 - V_prev) : (2 * V_prev - 1);
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if (V < arg)
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V = arg;
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}
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}
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return V;
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}
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double NonLinear::diodeCriticalVoltage( double I_S, double V_Te ) const
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{
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return V_Te * log( V_Te / M_SQRT2 / I_S );
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}
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void NonLinear::diodeJunction( double V, double I_S, double V_Te, double * I, double * g ) const
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{
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if (V < -3 * V_Te)
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{
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double a = 3 * V_Te / (V * M_E);
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a = a * a * a;
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*I = -I_S * (1 + a);
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*g = +I_S * 3 * a / V;
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}
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else
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{
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double e = exp( MIN( V / V_Te, KTL_MAX_EXPONENT ) );
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*I = I_S * (e - 1);
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*g = I_S * e / V_Te;
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}
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}
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