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Corrected Electric-Input Ratio in eQuest

asked 2017-09-07 20:35:42 -0500

updated 2017-09-08 07:52:07 -0500

What does the "corrected electric-input ratio" variable in eQuest represent? From what I can tell it isn't 1/COP, and it isn't the electric power divided by the rated capacity. In the image below, the data in white columns is from eQuest, and the grey columns are my calculations.

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answered 2017-09-08 08:49:46 -0500

This has to do with the specifics of the formula used by DOE2/eQUEST to calculate power. The "Corrected electric-input-ratio" is $$ EIR\text{-}FT \times EIR\text{-}FPLR \times ELEC\text{-}INPUT\text{-}RATIO $$

where $ ELEC\text{-}INPUT\text{-}RATIO $ is the nominal electric input ratio. The tricky thing is that the part load ratio is already accounted for in the $ EIR\text{-}FPLR$ term. The formula for power is

$$ CAPACITY\text{-}FT \times CAPACITY \times EIR\text{-}FT \times EIR\text{-}PLR \times ELEC\text{-}INPUT\text{-}RATIO / 3412 $$

where $CAPACITY$ is the nominal capacity in Btu/hr. So the "Corrected electric-input-ratio" can also be calculated as the current power consumption (convert to Btu/hr) divided by the operating capacity, not as the power divided by the current load as you would think. Again, this just has to do with the way the formula works out and the fact that the $EIR\text{-}FPLR$ curve accounts for the part load ratio.

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To elaborate on this answer, From your calculations: For the first three rows of data: The left most grey column (1/"corrected EIR") is equal to the right most grey column (COP/PLR). For the last four rows of data: the "Assigned Load" (left most white column) is less than the input value used for "Minimum Part Load Ratio" of the equipment. Therefore your system is cycling and running for a fraction of the one hour timestep at the minimum allowed part load ratio. Thus, you will need to factor out the fractional run time in order to see the equality observed for the first three rows of data.

Molly Curtz's avatar Molly Curtz  ( 2017-09-08 12:13:35 -0500 )edit

How do I then find capacity? I would think it would be nominal capacity times PLR, but that doesn't seem right. And how do I find CAPACITY-FT since eQuest doesn't output it? Obviously if I knew how to calculate CAPACITY I would then be able to calculate this from the equation you provided above for power.

Anna Osborne Brannon's avatar Anna Osborne Brannon  ( 2017-09-12 02:27:12 -0500 )edit

And Molly- that is a really useful observation. Thank you!

Anna Osborne Brannon's avatar Anna Osborne Brannon  ( 2017-09-12 02:32:42 -0500 )edit
1

The $CAPACITY$ variable above is the rated capacity input parameter. The operating capacity is an output variable labeled "Operating capacity at current conditions". It accounts for a chiller having more or less ability to cool depending on evaporator/condenser temperatures. The operating capacity is the $CAPACITY\text{-}FT$ multiplied by the rated capacity; so, you can get $CAPACITY\text{-}FT$ by dividing the "Operating capacity at current conditions" by the rated capacity. You can also evaluate it directly by using the curve coefficients and the evaporator/condenser temperatures.

aaron's avatar aaron  ( 2017-09-12 08:43:53 -0500 )edit

Thanks! Somehow I missed that CAPACITY is an output variable

Anna Osborne Brannon's avatar Anna Osborne Brannon  ( 2017-09-13 02:03:59 -0500 )edit

I'm running into this again and am having trouble with calculating COP at the times when the chiller is running for a fraction of the hour. To get actual hourly COP for the chiller when the PLR is 0.18 (as in the table above), Would I multiply the fraction of hour equipment operates by the assigned load at that hour and divide by the fraction of hour equipment operates times the fan power for that hour (converted to Btu/hr)? When I do this I don't get the exact COP I would expect, but it's closer.

Anna Osborne Brannon's avatar Anna Osborne Brannon  ( 2017-12-18 22:45:14 -0500 )edit

1) Hmm - I don't follow your explanation above, but I'll try to help. This is how I would think about it: The PLR of the chiller has a minimum of value of 0.18 (this is a user input).For lower assigned loads the chiller will still run at PLR of 0.18, but it will run for a fraction of the hour to meet the assigned load. For Ex:if the assigned load divided by "operating capacity at current conditions" is 0.09 the chiller will operate at PLR of 0.18 for 1/2 hour.

Molly Curtz's avatar Molly Curtz  ( 2017-12-19 11:25:21 -0500 )edit

2) So, to calculate the COP of the chiller (when it is operating) you want: "assigned load"/("electrical power"* run fraction). The term ("electrical power"* run fraction) gives the energy consumed. I can't remember if run fraction is an available report variable, but you should be able to calculate it as ("assigned load"/"OperCap at current hour")/ "report variable PLR" You will find that COP does not vary much at lows below the min cycling ratio (since PLR value entered in the perf. curves is fixed at the min val, efficiency will only vary with the two temp variables)

Molly Curtz's avatar Molly Curtz  ( 2017-12-19 11:38:33 -0500 )edit

3) Using the formula I listed above, including the hourly run fraction, the "Calculated COP" values for the last four rows of your table above should be: 5.84; 5.84; 6.16; 6.14

(Also note you have inverted the COP formula listed in your "calculated COP" col. heading)

Molly Curtz's avatar Molly Curtz  ( 2017-12-19 11:42:36 -0500 )edit

Thanks, Molly! I'll add this as a question as well, and if you can move your answer over to there I think it will be more helpful for others (here)

Anna Osborne Brannon's avatar Anna Osborne Brannon  ( 2017-12-19 15:56:05 -0500 )edit

Anna, I looked at your other question. There aren't enough sig figs in the table values to verify if my above calculation is correct. But, the "fraction of hour equipment operates" reported by eQuest does not agree with what I think it should be - so I'm not sure what eQuest is doing there.

Molly Curtz's avatar Molly Curtz  ( 2017-12-20 17:58:32 -0500 )edit
0

answered 2017-09-08 10:31:12 -0500

mjadamss's avatar

Anna,

The formula eQuest uses is the following:

EER to EIR =(1/(EER)-0.012167)/((1/3.413)+0.012167) COP to HEIR =(1/(COP3.413)-0.012167)/(1/3.413 + 0.012167) HSPF to HEIR = (1/((HSPF0.28+1.13)*3.413)-0.012167)/((1/3.413)-0.012167)

This is an estimation the software makes in order to subtract the % of the EER that it assumes includes the fan power in the efficiency of just the condenser.

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Asked: 2017-09-07 20:35:42 -0500

Seen: 2,331 times

Last updated: Sep 08 '17