Red Lion LEGEND - Manual (Page 69)

RATE SCALE MULTIPLIER
The general rule for choosing an SCM value is, when the Total Scaling,
“K
T
”, is less than 0.6000, an SCM value of 0.1 or 0.01 can be used to get a
Scale Factor value between 0.6 and 5.9999, or to the point where the
maximum number of significant digits is obtained. If the Total Scaling, “K
T
”,
is greater than 5.9999, then an SCM value of 10, 100, or 1000 can be used to
obtain a Scale Factor Value between 0.6 and 5.9999.
In our initial example, the Total Scaling, “K
T
” was determined to be
0.020833. It is easy to see that this number cannot be programmed into the
Scale Factor, “SF”, without losing significant digits. Using formula #2 and
the general rules stated above, a Scale Multiplier Value of 0.01 is chosen and
the Scale Factor is calculated as shown below. This will provide the
maximum amount of conversion accuracy possible.
K T ÷ SCM = 0.020833 ÷ 0.01 = 2.0833
In situations where the Total Scaling is already in range of the Scale Factor
(0.0001 to 5.9999) and when there are no significant digits that are lost, the
Total Scaling, “K
T
”, can be programmed directly into the Scale Factor Value
and a Scale Multiplier value of X1 (the factory set value) can be used.
Example: If the desired display units are in feet and there are 100 pulses per
foot, the Total Scaling, “K T ”, would be 0.01.
K T = Display units ÷ number of pulses = 1 ÷ 100 = 0.01
Since the Total Scaling, “K T ”, is exactly 0.01, it can be programmed into
the Scale Factor Value, “SF”, and the Scale Multiplier Value, “SCM”, can be
left at its factory setting of X1. After the Scale Factor and Scale Multiplier
values are selected, all that is necessary to complete the scaling is to choose
the Rate Conversion Factor. The Rate Conversion Factor (RCF) can be
selected to provide indication in Rate per Second (X1), Rate Per Minute
(X60), or Rate per Hour (X3600).
There may be situations where there are many more pulses per display unit
than needed. In these situations the minimum SCM value (0.01) may not
provide enough significant digits in the Scale Factor. To achieve more
significant digits, the Rate Conversion Factor should be set to Rate per
Second and the following formula be used.
SF = K
T
x RCF ÷ SCM
WHERE:
RCF = 60 for display reading in Rate Per Minute or 3600 for display
reading in Rate Per Hour
RATE SCALING EXAMPLE:
EXAMPLE #1:
A 60-tooth gear is mounted to a roll that has a circumference of 2 feet. It is
desired to have a rate readout with a resolution in 10ths of feet per minute.
Calculate the Scale Factor and Scale Multiplier values necessary to provide
the desired readout.
In this example one revolution of the web will provide 60 pulses for 2 feet
of linear travel. Since the desired display units are to be in tenths of feet, it is
necessary to convert 2 feet to tenths (2 ÷ .1 = 20), giving us 20 tenths (display
units). The Total Scaling, “K
T
”, is calculated by simply plugging in the two
numbers into Formula #1.
K
T
= Display Units ÷ Number of Pulses = 20 ÷ 60 = 0.333333
To get the maximum number of significant digits in the Scale Factor we use
formula #2 and a Scale Multiplier value of 0.1 as shown below.
SF = K
T
÷ SCM = 0.333333 ÷ 0.1 = 3.3333
To obtain rate indication in Feet Per Minute, the Rate Conversion Factor is
programmed for the Rate per Minute mode. A decimal point is programmed to
0.0, which allows the unit to display in 10ths of feet.
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