Trying to make sense of this formula / equation. Would someone please spell it out for me?
Formula:
FOR SMALL BIAS 0 < |BIAS_G/PTPAMP| <= 0.171573 (0.171573 = 3 - SQRT(8))
Equation in my case: (I think)
|-.0840 / .0332| <= 0.171573 (0.171573 = 3 - SQRT(8))
Thanks
Hego Bias / Amplitude
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Re: Hego Bias / Amplitude
It means, for a small bias, bias_g/ptpamp is greater than zero and less than or equal 0.171573.
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Re: Hego Bias / Amplitude
I have the full CBAZA documentation which includes the info you posted. It does not offer a solution that is understandable like the other two equations directly above and below that equation in the document do. I guess no one else whom has viewed this post understands it because no one has offered an explanation that indicates what the adjustment subtracted from stoich is for a given, negative BIAS_G/PTPAMP.
FOR NO BIAS |BIAS_G/PTPAMP| = 0
The limit cycle has full jumpback on both sides of stoichiometry and uses
symmetric pulsewidth ramp rates.
FOR SMALL BIAS 0 < |BIAS_G/PTPAMP| <= 0.171573 (0.171573 = 3 - SQRT(8))
The limit cycle has a partial jumpback on one side of stoichiometry to
achieve biasing and uses symmetric pulsewidth ramp rates.
FOR LARGE BIAS 0.171573 < |BIAS_G/PTPAMP| <= 0.45
The limit cycle has no jumpback on one side of stoichiometry and uses
asymmetric pulsewidth ramp rates to achieve biasing.
FOR NO BIAS |BIAS_G/PTPAMP| = 0
The limit cycle has full jumpback on both sides of stoichiometry and uses
symmetric pulsewidth ramp rates.
FOR SMALL BIAS 0 < |BIAS_G/PTPAMP| <= 0.171573 (0.171573 = 3 - SQRT(8))
The limit cycle has a partial jumpback on one side of stoichiometry to
achieve biasing and uses symmetric pulsewidth ramp rates.
FOR LARGE BIAS 0.171573 < |BIAS_G/PTPAMP| <= 0.45
The limit cycle has no jumpback on one side of stoichiometry and uses
asymmetric pulsewidth ramp rates to achieve biasing.
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Re: Hego Bias / Amplitude
The direction of the bias is controlled by the sign of the bias value. If the bias term is negative, a rich bias is indicated. If the sign of the bias term is positive, a lean bias is indicated.
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Re: Hego Bias / Amplitude
Yes, but how much richer or leaner? That statement does not help solve the equation in order to give a final AFR / Lambda number, so a person knows what AFR to expect from the calculations. We can log it for AFR delta, but that still doesn't enable us to validate or use the equation in a meaningful way, if the formula can't be interpreted.
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Re: Hego Bias / Amplitude
It just adds or takes away until it switches rich or lean , then the opposite happens. It's minute amounts in a never ending closed loop.
How much it adds or takes away doesn't matter, unless you just want to know.
How much it adds or takes away doesn't matter, unless you just want to know.
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Re: Hego Bias / Amplitude
Bias is your value from the FN1353 table. 0.084 is not possible as the memory size doesn't permit a number that high. Lets use 0.010 as an example.
Amplitude is from the fn1352 table. 0.0332 isn't possible as the memory size and equation only allows 3 decimals. Lets use 0.033 as an example.
0.010 / 0.033 == 0.303 is our bias/ptpamp
That bias/ptpamp is higher than the max allowed of 0.171572875254 so it gets set to 0.171573 as a max clip.
That value is from your calculator if you simply plug in 3 - 2.82842712474619 == 0.171572875254. All they are doing is notating it there just for reference only.
Amplitude is from the fn1352 table. 0.0332 isn't possible as the memory size and equation only allows 3 decimals. Lets use 0.033 as an example.
0.010 / 0.033 == 0.303 is our bias/ptpamp
That bias/ptpamp is higher than the max allowed of 0.171572875254 so it gets set to 0.171573 as a max clip.
That value is from your calculator if you simply plug in 3 - 2.82842712474619 == 0.171572875254. All they are doing is notating it there just for reference only.