Velocity, speed calculation

In addition to the counter value, the velocity and speed an also be measured. The measured values are determined through parameterization of the frequency values. The following limit values apply:

Measured value output	Measured value limit		Comment
Measured value output	lower	top	Comment
Frequency value	0.095 Hz	5 MHz	With 4-fold evaluation Signal type: RS422 (diff. input)
	0.095 Hz	1 MHz	With 4-fold evaluation Signal type: TTL (single ended)
	0.095 Hz	100 kHz	With 4-fold evaluation Signal type: open collector

The frequency measurement is carried out as described in chapter "Frequency measurement (Frequency value)". In addition, the frequency value can be converted using the two indices 0x8000:1D "Frequency numerator" and 0x8000:1E "Frequency denominator".

Index (hex)	Name	Meaning	Default
8000:1D	Frequency numerator	Frequency numerator, Factor for normalizing the frequency, e.g., the time unit	0x0000001 (1_dec)
8000:1E	Frequency denominator	Frequency denominator, Factor for normalizing the frequency, e.g., velocity calculation	0x0000001 (1_dec)

Thus, the frequency can be normalized for application-specific speed measurement. The measured value continues to be output in the process data via "Frequency value" (index 0x6000:13).

The calculated measured value has the following relationship to the frequency:
Velocity, speed calculation 1:

Example for velocity calculation in m/s

200 mm travel corresponds to one full mechanical revolution of an encoder.
The encoder has a 12-bit resolution, i.e. 4096 lines, which corresponds to 4096 periods on track A.

The velocity value is determined as follows:
Velocity, speed calculation 2:

Index (hex)	Name	Example: velocity in m/s	Comment
8000:1D	Frequency numerator	0x00000C8 (200_dec)	Travel path, conversion to m via "Frequency denominator"
8000:1E	Frequency denominator	0x003E8000 (4096000_dec)	Specification of the number of periods over the travel path and conversion of the travel path to m

Example Calculation of speed f_rot in revolutions/s

After one full rotation, 4-fold evaluation (0x8000:06 "Evaluation mode") results in a numerator value of 16384 increments. This corresponds to 4096 periods on track A.
"Frequency numerator" can be used to convert the time unit into minutes. Note the scaling of the frequency value (0x8000:13 "Frequency scaling"):

Conversion into minutes depending on "Frequency scaling
Index (hex)	Entry	Index (hex)	Entry
0x8000:13 Frequency scaling	100_dec: 0.01 Hz	0x8000:1D Frequency numerator	0x00001770 (6000_dec)
0x8000:13 Frequency scaling	1_dec: 1 Hz	0x8000:1D Frequency numerator	0x0000003C (60_dec)

Index (hex)	Ex. Speed f_rot in rpm	Comment
8000:1D Frequency numerator	0x0001770 (6000_dec)	Output of the value in 0.01 rpm
8000:1E Frequency denominator	0x0001000 (4096_dec)	Conversion factor in periods / m