Square root extraction signals are used to simplify closed pipe liquid or gas flow calculations and to improve resolution of the non-linear signal when converted to a flow reading.
The output from a Modbus 12 bit count can be transformed in the following ways:
A linear digital output signal of 0 to 4095 steps can be converted to a non-linear sq rt extraction by applying the following formula or table:
[Output Sq Rt] = √ ([Output Linear] x 4095)
| Linear (0 – 4095 steps) | Sq Rt (0 – 4095 steps) |
|---|---|
| 0 | 0 |
| 255 | 1021 |
| 511 | 1446 |
| 767 | 1772 |
| 1023 | 2046 |
| 1279 | 2288 |
| 1535 | 2507 |
| 1791 | 2708 |
| 2047 | 2895 |
| 2303 | 3070 |
| 2559 | 3237 |
| 2815 | 3395 |
| 3071 | 3546 |
| 3327 | 3691 |
| 3583 | 3830 |
| 3839 | 3964 |
| 4095 | 4095 |
A sq rt extraction output of 0 to 4095 steps can be transformed to a linear signal by using the following formula or table:
[Output Linear] = ([Output Sq Rt])²/ 4095
| Sq Rt (0 – 4095 steps) | Linear (0 – 4095 steps) |
|---|---|
| 0 | 0 |
| 255 | 15 |
| 511 | 63 |
| 767 | 143 |
| 1023 | 255 |
| 1279 | 399 |
| 1535 | 575 |
| 1791 | 783 |
| 2047 | 1023 |
| 2303 | 1295 |
| 2559 | 1599 |
| 2815 | 1935 |
| 3071 | 2303 |
| 3327 | 2703 |
| 3583 | 3135 |
| 3839 | 3599 |
| 4095 | 4095 |