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Old   October 20, 2022, 00:20
Question Bang-bang control in Fluent
  #1
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Jared
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Hi all,


I am looking to implement a bang-bang control system so that when a component exceeds an allowable temperature (T_max), it is shut off, until the temperature returns below a second value (T_min), then it is turned on again.


In other words,
If T > Tmax, P = 0
If Tmax < T < Tmin, P = P (at previous time step)

If T < Tmin, P = 4000 W/m^3


I have linked the source term in a cell zone to an expression - but the expression is undefined as it contains a circular reference. Is there a different way to do this, as it seems like a fairly innocuous request. Here's what I have so far anyway:

Expression is called "cam_power".
IF(Tc>Tmax, 0 [W*m^-3], IF(AND(Tc<Tmax,Tc>Tmin),cam_power,4000 [W*m^-3]))


Appreciate any help I can receive!
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Old   October 20, 2022, 01:17
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Alexander
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AlexanderZ will become famous soon enoughAlexanderZ will become famous soon enough
you may use UDF
look for define_profile macro
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Old   October 20, 2022, 05:28
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Hi,

I was able to do a similar simulation with just using expressions in 2020R1.

Creating two points (my temp sensor locations) as report definitions and attaching them to a constant flux boundary as a piecewise eqn. (just like you did) worked just fine for me.

However I only had two flux options, say 0 and 4000 as in your case.

IF(Tc>Tmax, 0 [W*m^-3], IF(Tc<Tmin),4000 [W*m^-3]) would be how I approach it.

By this way if your sensor temperature (Tc) exceeds your cutoff temperature (Tmax), flux is set to zero until the sensor sees Tmin. Other way around if it drops below Tmin, 4000 is applied until it goes above Tmax again. This way you can keep your system between Tmax and Tmin (you will have to account for peak overshoot).

Try plotting the flux at your boundary with this method. You should be able to see a square signal.
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Old   October 20, 2022, 17:13
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Thanks for the reply.
The issue I am facing with this suggestion is I must provide a false value for the second IF statement so that if it is in the range Tmin < Tc < Tmax it must have a value. As far as I know I can't access the data at the previous timestep to continue what it was doing before - or checking the temporal temperature gradient to see if it is cooling or heating
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Old   October 20, 2022, 22:48
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Quote:
Originally Posted by AlexanderZ View Post
you may use UDF
look for define_profile macro

Thanks, I was reluctant to learn UDF's but I guess it is unavoidable now.


As far as I can tell, it seems I need to use the DEFINE_SOURCE macro for heat generation. I found the following from an old post which was very helpful but I am unsure how to progress it further how to write udf for a component source term on a wall ?



Code:
#include "udf.h"

DEFINE_ON_DEMAND(selecting_the_cells)
{
    #if !RP_HOST
        Domain *d;
        Thread *t, *tc, *t0;
        face_t f;
        cell_t c, c0;
        d=Get_Domain(1);
        tc=Lookup_Thread(d,9); //thread pointer of the surface (the ID can be obtained from the boundary condition panel)
        //Loop through all the cell threads in the domain
        thread_loop_c(t,d)
        {
            //Loop through the cells in each cell thread
            begin_c_loop(c,t)
            {
                C_UDMI(c,t,0)=0;    
            }
            end_c_loop(c,t)
        }
        
        begin_f_loop(f,tc)
        {
            c0=F_C0(f,tc);
            t0=THREAD_T0(tc);
            C_UDMI(c0,t0,0)=1;
        }
        end_f_loop(f,tc)
    #endif
}

DEFINE_SOURCE(energy_source, c, t, dS, eqn)
{
    real source;
    if (C_UDMI(c,t,0)>0.)
    {
        source=1000.;
        dS[eqn]=0.;
    }
    else
    {
        source=0.;
        dS[eqn]=0.;
    }
    return source;
}
My problem is I want to measure the max temperature in a solid after each time step and I am not sure how to do this using the DEFINE_ON_DEMAND macro. I can tell I need to use a data access macro like C_T(c,t) to obtain the temperature but I don't understand how to find the max temperature in this cell zone. I can do the conditional logic but my understanding falls short for accessing the solution data
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Old   October 21, 2022, 01:42
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Alexander
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AlexanderZ will become famous soon enoughAlexanderZ will become famous soon enough
your exact request is unclear, as code above is doing other things, comparing to your first message.

code below is:
- getting min, max and average temperatures of solid zone (in code it has ID = 9, in your model could be different)
- defining source value depending on tmax
- applying source

Code:
#include "udf.h"

real source = 0.0;

DEFINE_EXECUTE_AT_END(calculate_source)
{
	Domain *d;
	real tavg = 0.;
	real tmax = 0.;
	real tmin = 0.;
	real temp,volume,vol_tot;
	Thread *t;
	cell_t c;
	d = Get_Domain(1);
	/* Loop over all cell threads in the domain */
	t=Lookup_Thread(d,9); /* thread pointer of the solid zone (the ID can be obtained from the boundary condition panel)*/

	begin_c_loop(c,t)
	{
		volume = C_VOLUME(c,t); /* get cell volume */
		temp = C_T(c,t); /* get cell temperature */
		if (temp < tmin || tmin == 0.) tmin = temp;
		if (temp > tmax || tmax == 0.) tmax = temp;
		vol_tot += volume;
		tavg += temp*volume;
	}
	end_c_loop(c,t)
	tavg /= vol_tot;
	Message0("\n Tmin = %g Tmax = %g Tavg = %g\n",tmin,tmax,tavg);
	
	if (tmax > 500) source = 1000.0;
	else  source = 0.0;
}

DEFINE_SOURCE(energy_source, c, t, dS, eqn)
{
    return source;
}
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Old   October 25, 2022, 20:05
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Quote:
Originally Posted by AlexanderZ View Post
your exact request is unclear, as code above is doing other things, comparing to your first message.

code below is:
- getting min, max and average temperatures of solid zone (in code it has ID = 9, in your model could be different)
- defining source value depending on tmax
- applying source

Code:
#include "udf.h"

real source = 0.0;

DEFINE_EXECUTE_AT_END(calculate_source)
{
    Domain *d;
    real tavg = 0.;
    real tmax = 0.;
    real tmin = 0.;
    real temp,volume,vol_tot;
    Thread *t;
    cell_t c;
    d = Get_Domain(1);
    /* Loop over all cell threads in the domain */
    t=Lookup_Thread(d,9); /* thread pointer of the solid zone (the ID can be obtained from the boundary condition panel)*/

    begin_c_loop(c,t)
    {
        volume = C_VOLUME(c,t); /* get cell volume */
        temp = C_T(c,t); /* get cell temperature */
        if (temp < tmin || tmin == 0.) tmin = temp;
        if (temp > tmax || tmax == 0.) tmax = temp;
        vol_tot += volume;
        tavg += temp*volume;
    }
    end_c_loop(c,t)
    tavg /= vol_tot;
    Message0("\n Tmin = %g Tmax = %g Tavg = %g\n",tmin,tmax,tavg);
    
    if (tmax > 500) source = 1000.0;
    else  source = 0.0;
}

DEFINE_SOURCE(energy_source, c, t, dS, eqn)
{
    return source;
}

Great! That helped a lot.
Here is my working code (some of it is a bit ugly and redundant as I didn't want to waste simulation time, but it works )


Code:
#include "udf.h"

real source_p1 = 0;
real source_p2 = 0;
real source_p3 = 0;
int state = 1; /*  1 is ON, 0 is OFF */

DEFINE_EXECUTE_AT_END(calculate_source)
{
    real tmax = 0.;
    real tmin = 0.;
    real thigh = 315; /* allowable max */
    real tlow = 310; /* allowable min */
    real temp;

    /* ====== p1 ====== */
    Domain *d;
    Thread *t;
    cell_t c;
    d = Get_Domain(1);
    t=Lookup_Thread(d,106); /* thread pointer of the solid zone (the ID can be obtained from the boundary condition panel)*/

    /* ====== p2 ====== */
    Domain *dp;
    Thread *tp;
    cell_t cp;
    dp = Get_Domain(1);
    tp=Lookup_Thread(dp,96); /* thread pointer of the solid zone (the ID can be obtained from the boundary condition panel)*/

    /* ====== p3 ====== */
    Domain *di;
    Thread *ti;
    cell_t ci;
    di = Get_Domain(1);
    ti=Lookup_Thread(di,1048); /* thread pointer of the solid zone (the ID can be obtained from the boundary condition panel)*/

    begin_c_loop(c,t)     /* Loop over all cell threads in the p1 domain */
    {
        temp = C_T(c,t); /* get cell temperature using C_T*/
        if (temp < tmin || tmin == 0.) tmin = temp; /* find min temp */
        if (temp > tmax || tmax == 0.) tmax = temp; /* find max temp */
    }
    end_c_loop(c,t)

    begin_c_loop(cp,tp)     /* Loop over all cell threads in the p2 domain */
    {
        temp = C_T(cp,tp); /* get cell temperature using C_T*/
        if (temp < tmin || tmin == 0.) tmin = temp; /* find min temp */
        if (temp > tmax || tmax == 0.) tmax = temp; /* find max temp */
    }
    end_c_loop(cp,tp)
    
    begin_c_loop(ci,ti)     /* Loop over all cell threads in the p3 domain */
    {
        temp = C_T(ci,ti); /* get cell temperature using C_T*/
        if (temp < tmin || tmin == 0.) tmin = temp; /* find min temp */
        if (temp > tmax || tmax == 0.) tmax = temp; /* find max temp */
    }
    end_c_loop(ci,ti)

    Message("\n Tmin = %g Tmax = %g\n",tmin,tmax);
    Message("\n Controller = %g\n",state);

    if (tmax > thigh) state = 0; /* turn off */
    if (tmin < tlow) state = 1; /* turn on */
}

DEFINE_SOURCE(p1_source, c, t, dS, eqn)
{
    if (state == 1) source_p1 = 42900;
    else source_p1 = 0;
    return source_p1;
}

DEFINE_SOURCE(p2_source, cp, tp, dS, eqn)
{
    if (state == 1) source_p2 = 25800;
    else source_p2 = 0;
    return source_p2;
}

DEFINE_SOURCE(p3_source, ci, ti, dS, eqn)
{
    if (state == 1) source_p3 = 12200;
    else source_p3 = 0;
    return source_p3;
}

DEFINE_REPORT_DEFINITION_FN(control_state)
{
    return state;
}
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