First of all how do you define a zero frequency? Frequency is defined as the number of cycles per unit time. Does your turbine produce digital pulses or an continuous signal?
If it is pulses, set up to count events, not frequency or period. Generate a suitable gate pulse and calculate the frequency from number of events counted/duration of gate pulse. This will work without timeout issues and will produce a zero frequency without problems. If the signal is sinusoidal, the same concept would work, but you need to do some signal processing to define the edges of the cycles you want to count.
Lynn