On Stryd's website, there is a narrative about their proprietery scoring system based on power called Running Stress Score (RSS).
The key statement is how RSS is defined using a 'co-efficient' K.
Someone who would like to reverse engineer this formula would wonder if co-efficient 'K' is a constant or does it vary depending on the intensity.
One clue to help in finding K is a table of examples in which Stryd states an expected value of RSS.
Infact, from the equation of RSS, the value of K is defined as :
K = [ Natural log (RSS/min) - Natural log (100)] / Natural log (Power/CP)
where CP = critical power
One finds from this calculation that there is not a single value of K that can be fitted to the running examples in the table above. So either this is a small mystery or K is not constant.
Might there be an easier model to explain the change of RSS/min with intensity? As a first goto, a simple exponential model would reflect rapidly increasing stress scores for higher intensities.
So I took the data and tried to force fit an exponential line through. The result gave 98.7% fit based on the data fed to it.
Based on this exercise :
RSS/min = A x exp(B x Power/Cp)
where parameter A = 0.0758
and parameter B = 3.1297
How does this equation fit with a real run and it's corresponding RSS from Stryd's powercenter? I took a recent run from the running database and threw it into the model.
I found that the modeled RSS/min is within 3% of the actual value, which says that the fit is alright but more importantly, I can produce a better match by decreasing assumed CP to around 193.5 W.
The key statement is how RSS is defined using a 'co-efficient' K.
Someone who would like to reverse engineer this formula would wonder if co-efficient 'K' is a constant or does it vary depending on the intensity.
One clue to help in finding K is a table of examples in which Stryd states an expected value of RSS.
Infact, from the equation of RSS, the value of K is defined as :
K = [ Natural log (RSS/min) - Natural log (100)] / Natural log (Power/CP)
where CP = critical power
One finds from this calculation that there is not a single value of K that can be fitted to the running examples in the table above. So either this is a small mystery or K is not constant.
Might there be an easier model to explain the change of RSS/min with intensity? As a first goto, a simple exponential model would reflect rapidly increasing stress scores for higher intensities.
So I took the data and tried to force fit an exponential line through. The result gave 98.7% fit based on the data fed to it.
Based on this exercise :
RSS/min = A x exp(B x Power/Cp)
where parameter A = 0.0758
and parameter B = 3.1297
How does this equation fit with a real run and it's corresponding RSS from Stryd's powercenter? I took a recent run from the running database and threw it into the model.
I found that the modeled RSS/min is within 3% of the actual value, which says that the fit is alright but more importantly, I can produce a better match by decreasing assumed CP to around 193.5 W.
3 comments:
is there a value for exp? or how do I use the formula to get my own set of results
Unknown,
Exp simply is the exponential of the term in parantheses. On the calculator, its the e^ button.
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