Calcoid

Critical Power Calculator

Solve the two-parameter model for critical power and W' from two maximal efforts, then predict the power you can hold for any duration.

Critical Power Calculator

First effort

A short, all-out maximal effort. For example a 3-minute test.

Second effort

A longer maximal effort at lower power. For example a 12-minute test.

Optional. See the power the model says you could hold for this long. It is most reliable for efforts of about 2 to 20 minutes.

Critical Power (CP)

266.7 watts

The highest power your aerobic system can sustain. Efforts above it draw down your W′ reserve.

Anaerobic work capacity (W′)

16.8 kJ

16,800 J of work available above CP for short, hard efforts.

Predicted power at 20 min

280.7 W

From P = CP + W′ / t, the power the model expects you to hold.

How this was computed

Work-time model: W = W′ + CP × t, solved from your two efforts.

W₁ = 360 W × 180 s = 64,800 J

W₂ = 290 W × 720 s = 208,800 J

CP = (W₁ − W₂) / (t₁ − t₂) = 266.7 W

W′ = W₁ − CP × t₁ = 16,800 J

Frequently Asked Questions about the Critical Power Calculator

What is critical power (CP)?
Critical power is the highest power output you can sustain for a long time without fatiguing further, measured in watts. On the power-duration curve it is the asymptote that very long efforts approach. It marks the boundary between the heavy and severe intensity domains, so any effort above CP relies on your finite W' reserve and ends in exhaustion.
How does the calculator find CP and W' from two efforts?
It fits the two-parameter work-time model. For each effort, total work equals average power times the duration in seconds, and that work follows a straight line: work equals W' plus critical power multiplied by time. Your two efforts are two points on that line, so the slope is critical power and the vertical intercept is W'. With two points the solution is exact, so no curve fitting is needed.
What is W' (W prime)?
W' is your anaerobic work capacity, a fixed amount of work in joules that you can do above critical power before reaching exhaustion. Think of it as a battery that drains when you ride above CP and recharges when you drop below it. A typical trained cyclist has a W' of roughly 15,000 to 25,000 joules (15 to 25 kJ), though it varies widely between athletes.
Which two efforts should I use for the test?
Use two all-out efforts of different lengths, both hard enough to reach exhaustion, such as 3 minutes and 12 minutes. The classic recommendation is to keep both efforts in the severe-intensity domain, roughly 2 to 15 minutes, and to space them far enough apart in duration for a stable fit. Enter the shorter effort at its higher power and the longer effort at its lower power, and rest fully between tests.
How accurate is the predicted power for other durations?
The model is most accurate within the range it was built from, roughly 2 to 20 minutes. For much longer durations it tends to overestimate sustainable power, because fatigue mechanisms the two-parameter model ignores start to matter. Treat the predictions as training estimates from two field tests, not a substitute for a lab measurement or a fresh maximal effort.
Is critical power the same as FTP?
They are closely related but defined differently. FTP is the power you can hold for about an hour, usually estimated from a 20-minute test, while critical power comes from the two-parameter model fit to two or more maximal efforts. CP often lands a few percent above FTP, so the two are similar but not interchangeable. Use whichever metric your training plan is built around and stay consistent.

Related Calculators

More calculators in "Fitness"

See all 64 calculators in "Fitness"