memristor code model in extradev
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Memristor with threshold as XSPICE code model
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* Y. V. Pershin, M. Di Ventra: "SPICE model of memristive devices with threshold",
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* arXiv:1204.2600v1 [physics.comp-ph] 12 Apr 2012,
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* http://arxiv.org/pdf/1204.2600.pdf
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* XSPICE code model, parameter selection and plotting by
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* Holger Vogt 2012
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.param stime=10n
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.param vmax = 3
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* send parameters to the .control section
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.csparam stime={stime}
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.csparam vmax={vmax}
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*Xmem 1 0 memristor
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* triangular sweep (you have to adapt the parameters to 'alter' command in the .control section)
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*V1 1 0 DC 0 PWL(0 0 '0.25*stime' 'vmax' '0.5*stime' 0 '0.75*stime' '-vmax' 'stime' 0)
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* sinusoidal sweep
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V1 0 1 DC 0 sin(0 'vmax' '1/stime')
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* memristor model with limits and threshold
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* "artificial" parameters alpha, beta, and vt. beta and vt adapted to basic programming frequency
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* just to obtain nice results!
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* You have to care for the physics and set real values!
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amen 1 2 memr
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.model memr memristor (rmin=1k rmax=10k rinit=7k alpha=0 beta='20e3/stime' vt=1.6)
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vgnd 2 0 dc 0
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* This is the original subcircuit model
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.subckt memristor plus minus PARAMS: Ron=1K Roff=10K Rinit=7.0K alpha=0 beta=20e3/stime Vt=1.6
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Bx 0 x I='((f1(V(plus)-V(minus))> 0) && (V(x) < Roff)) ? {f1(V(plus)-V(minus))}: ((((f1(V(plus)-V(minus)) < 0) && (V(x)>Ron)) ? {f1(V(plus)-V(minus))}: 0)) '
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Vx x x1 dc 0
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Cx x1 0 1 IC={Rinit}
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Rmem plus minus r={V(x)}
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.func f1(y)={beta*y+0.5*(alpha-beta)*(abs(y+Vt)-abs(y-Vt))}
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.ends
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* transient simulation same programming voltage but rising frequencies
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.control
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*** first simulation ***
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* approx. 100 simulation points
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let deltime = stime/100
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tran $&deltime $&stime uic
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* plot i(v1) vs v(1)
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*** you may just stop here ***
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* raise the frequency
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let newfreq = 1.1/stime
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let newstime = stime/1.1
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let deltime = newstime/100
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alter @V1[sin] [ 0 $&vmax $&newfreq ]
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tran $&deltime $&newstime uic
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* raise the frequency even more
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let newfreq = 1.4/stime
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let newstime = stime/1.4
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let deltime = newstime/100
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alter @V1[sin] [ 0 $&vmax $&newfreq ]
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tran $&deltime $&newstime uic
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* the resistor currents
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plot tran1.alli tran2.alli alli title 'Memristor with threshold: currents'
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* calculate resistance (avoid dividing by zero)
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let res = v(1)/(I(v1) + 1e-16)
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let res1 = tran1.v(1)/(tran1.I(v1) + 1e-16)
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let res2 = tran2.v(1)/(tran2.I(v1) + 1e-16)
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* resistance versus time plot
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settype impedance res res1 res2
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plot res vs time res1 vs tran1.time res2 vs tran2.time title 'Memristor with threshold: resistance'
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* resistance versus voltage (change occurs only above threshold!)
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plot res vs v(1) res1 vs tran1.v(1) res2 vs tran2.v(1) title 'Memristor with threshold: resistance'
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* current through resistor for all plots versus voltage
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plot i(v1) vs v(1) tran1.i(v1) vs tran1.v(1) tran2.i(v1) vs tran2.v(1) title 'Memristor with threshold: external current loops'
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.endc
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.end
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/* ===========================================================================
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FILE cfunc.mod
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MEMBER OF process XSPICE
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Copyright 2012
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Holger Vogt
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Mülheim, Germany
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All Rights Reserved
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AUTHORS
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6/08/2012 Holger Vogt
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MODIFICATIONS
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<date> <person name> <nature of modifications>
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SUMMARY
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This file contains the definition of a memristor code model
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with threshold according to
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Y. V. Pershin, M. Di Ventra: "SPICE model of memristive devices with threshold",
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arXiv:1204.2600v1 [physics.comp-ph] 12 Apr 2012,
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http://arxiv.org/pdf/1204.2600.pdf.
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** Experimental, still to be tested in circuits !! **
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INTERFACES
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cm_memristor()
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REFERENCED FILES
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None.
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NON-STANDARD FEATURES
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None.
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=========================================================================== */
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/*=== INCLUDE FILES ====================*/
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#include <math.h>
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#define RV 0
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/* model parameters */
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double alpha, beta, vt;
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/* forward of window function */
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double f1(double y);
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void cm_memristor (ARGS)
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{
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// Complex_t ac_gain;
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double partial;
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double int_value;
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double *rval;
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double inpdiff;
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/* get the parameters */
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alpha = PARAM(alpha);
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beta = PARAM(beta);
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vt = PARAM(vt);
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/* Initialize/access instance specific storage for resistance value */
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if(INIT) {
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cm_analog_alloc(RV, sizeof(double));
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rval = (double *) cm_analog_get_ptr(RV, 0);
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*rval = PARAM(rinit);
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}
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else {
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rval = (double *) cm_analog_get_ptr(RV, 0);
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}
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/* Compute the output */
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if(ANALYSIS == TRANSIENT) {
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/* input the voltage across the terminals */
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inpdiff = f1(INPUT(memris));
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if ((inpdiff > 0) && (*rval < PARAM(rmax)))
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int_value = inpdiff;
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else if ((inpdiff < 0) && (*rval > PARAM(rmin)))
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int_value = inpdiff;
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else
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int_value = 0.0;
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/* integrate the new resistance */
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cm_analog_integrate(int_value, rval, &partial);
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/* output the current */
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OUTPUT(memris) = INPUT(memris) / *rval;
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PARTIAL(memris, memris) = partial;
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}
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/* no AC and DC modeling so far !
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else if(ANALYSIS == AC) {
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ac_gain.real = *vc;
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ac_gain.imag = 0.0;
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AC_GAIN(memris, memris) = ac_gain;
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} */
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}
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/* the window function */
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double f1(double y) {
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return (beta*y+0.5*(alpha-beta)*(fabs(y+vt)-fabs(y-vt)));
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}
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@ -0,0 +1,86 @@
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/* ===========================================================================
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FILE ifspec.ifs
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MEMBER OF process XSPICE
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Copyright 2012
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Holger Vogt
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Mülheim, Germany
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All Rights Reserved
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AUTHORS
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06/08/2012 Holger Vogt
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MODIFICATIONS
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<date> <person name> <nature of modifications>
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SUMMARY
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This file contains the definition of a memristor code model
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with threshold according to
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Y. V. Pershin, M. Di Ventra: "SPICE model of memristive devices with threshold",
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arXiv:1204.2600v1 [physics.comp-ph] 12 Apr 2012,
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http://arxiv.org/pdf/1204.2600.pdf.
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** Experimental, still to be tested in circuits !! **
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INTERFACES
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None.
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REFERENCED FILES
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None.
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NON-STANDARD FEATURES
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None.
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=========================================================================== */
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NAME_TABLE:
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Spice_Model_Name: memristor
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C_Function_Name: cm_memristor
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Description: "Memristor interface"
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PORT_TABLE:
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Port_Name: memris
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Description: "memristor terminals"
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Direction: inout
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Default_Type: gd
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Allowed_Types: [gd]
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Vector: no
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Vector_Bounds: -
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Null_Allowed: no
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PARAMETER_TABLE:
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Parameter_Name: rmin rmax rinit
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Description: "minimum resistance" "maximum resistance" "initial resistance"
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Data_Type: real real real
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Default_Value: 10.0 10000.0 7000.0
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Limits: - - -
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Vector: no no no
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Vector_Bounds: - - -
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Null_Allowed: no no no
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PARAMETER_TABLE:
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Parameter_Name: alpha beta vt
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Description: "model parameter 1" "model parameter 2" "threshold"
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Data_Type: real real real
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Default_Value: 0.0 1.0 0.0
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Limits: - - -
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Vector: no no no
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Vector_Bounds: - - -
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Null_Allowed: no no no
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@ -7,3 +7,4 @@ lcouple
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lmeter
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potentiometer
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zener
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memristor
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