Quoted post said:Originally Posted by bronj [IMG]/img/forum/go_quote.gif[/IMG]
Hey Dave,
Thanks for the response, but I have to respectfully disagree with your assumption that q rings will inflate power numbers. The velocity of the PM wouldn't change because of the oval ring, the velocity will be whatever speed you are spinning the crank - ..
The angular velocity issue related to non circular chainrings attached to crank based PMs is well documented.
Let me break it down as simply as I can.
The crank based PMs such as the Quarq and SRM use a reed switch to measure each complete cycle of the crank. They then calculate angular velocity as 2*pi radians divided by the time interval between two successive pulses of that reed switch. If intra-cycle angular velocity is constant or nearly constant as it is with circular chainrings then that is a good approach.
The problem comes with ovalized rings where by design the chainring radius is smaller across the top and bottom of the pedal stroke and larger through the power stroke. This is exactly the purpose of ovalized rings to make it easier to get over the top and bottom of the pedal stroke but apply more torque through the power phase of the downstroke. That ease of getting over the top of the pedal stroke results in your foot and the crank speeding up as it passes through those portions of the pedal stroke, That higher torque during the power phase results in your foot and crank speed slowing down during those portions of the stroke.
Sure alternatively you could guess that foot speed and crank angular velocity remains constant and the bike actually speeds and slows during those respective portions of the pedal stroke. That does not happen as a result of the linear and angular inertia of the system. Your bike speed does not pulse up and down to any great extent during portions of each pedaling stroke. Those are your only two alternatives, the angular velocity of the pedal stroke is non uniform and the bike speed is roughly constant or the crank angular velocity is constant and the bike speed is non uniform.
The problem really comes back to the single reed switch for measuring cadence and then deriving angular velocity for complete pedal strokes on the assumption that there is no intra-cycle variation in angular velocity. If you had something like optical encoders that sampled crank position every few degrees and did an on the fly angular velocity estimate this problem would not occur.
This is not my theory or an idea I originated. It has been heavily discussed over at the Google Wattage Group, Weight Weenies, Slowtwitch Forums and other places. Come on over to the Wattage Group and search the archives for more on this subject or perhaps just Google 'power meter error Q rings' I'm sure you'll get many hits and they'll all map back to the angular velocity issue. Search for Tom Anhalt's thoughts on this as he did quite a bit of early measurement and experimentation comparing Q ring setups using both crank and hub based power measurements to quantify the power estimation error that results from non round rings.
Here are some of Tom's thoughts and tests on the subject: http://bikeblather.blogspot.com/2013/01/whats-up-with-those-funky-rings.html
Use them, don't use them, makes no difference to me but they will inflate the power reported from your new Quarq which may be fine with you but don't stick your head in the sand and deny that there's a power accuracy issue with current crank based PMs.
-Dave