iiEnhanced Density Application: Theory, Configuration, and Use
Chapter 1
Before You Begin
1.1Purpose of manual
This manual is designed to provide two types of information: how the enhanced density application
works, and how to configure and use the enhanced density application.
1.2Terminology
•Enhanced density curve – A three-dimensional surface that describes the relationship between
temperature, concentration, and density.
•Standard curves – A set of curves that are supplied by Micro Motion as part of the enhanced
density application, and are suitable for use in many processes. These curves are listed and
described in Chapter 3.
•Custom curve – A curve that has been built by Micro Motion according to customer
requirements.
•User-defined curve – A curve built by a customer, using the enhanced density application.
Theory and BackgroundUser-Defined CurvesStandard or Custom CurvesBefore You Begin
1.3Transmitter interfaces
Depending on your transmitter, one or more of the following interfaces is available for the enhanced
density application:
•ProLink II – available for all transmitters except the Series 3000 9-wire
•PocketProLink – available for all transmitters except the Series 3000 9-wire
•The display (PPI) on the Series 3000 9-wire (ALTUS) transmitter
•The display (PPI) on the Series 3000 4-wire (MVD) transmitter
This manual shows the ProLink II interface and the Series 3000 display interfaces. The
PocketProLink interface is similar to the ProLink II interface.
1.4Procedures described in this manual
There are two configuration procedures:
•If you purchased the standard curves or one or more custom curves, all you need to do is to
load the curve(s) into a transmitter slot. Instructions for loading a curve into a slot are provided
in Chapter 3.
•If you did not purchase standard or custom curves, you can configure your own curve(s), using
your own process data. Instructions for configuring a user-defined curve are provided in
Chapter 4.
Enhanced Density Application: Theory, Configuration, and Use1
Before You Begin continued
After all curves have been loaded or defined, the active curve must be specified. Minor customization
of the curve is possible. The enhanced density application is now available for use in transmitter
configuration. Instructions for specifying the active curve, modifying a curve, and using a curve are
provided in Chapter 5.
The optional density curve trim is described in Chapter 6.
2Enhanced Density Application: Theory, Configuration, and Use
Chapter 2
Enhanced Density Theory and Background
2.1About this chapter
This chapter provides a conceptual overview of the relationship between density and concentration
and how concentration can be calculated from density. Additionally, this chapter discusses how this
calculation is implemented in the enhanced density application. Finally, this chapter provides an
example of enhanced density used in a real-world application.
Note: This chapter does not provide configuration instructions. For assistance with loading a
standard or custom curve provided by Micro Motion, see Chapter 3. For instructions on configuring a
user-defined curve, see Chapter 4.
2.2Enhanced density application overview
Micro Motion sensors provide direct measurements of density, but not of concentration. The enhanced
density application calculates enhanced density variable,s such as concentration or density at
reference temperature, from density process data, appropriately compensated for temperature.
Theory and BackgroundUser-Defined CurvesStandard or Custom CurvesBefore You Begin
The derived variable, specified during configuration, controls the type of concentration measurement
that will be produced (see Section 2.3.1). Each derived variable allows the calculation of a subset of
enhanced density process variables (see Table 2-1). The available enhanced density process variables
can be used in process control, just as mass, volume, and other process variables are used. For
example, an event can be defined on an enhanced density process variable.
2.3Measuring density, specific gravity, and concentration
Density, specific gravity, and concentration are central concepts in the enhanced density application.
This section defines these terms and describes the characteristics that are relevant to the enhanced
density application.
2.3.1Definition of density, specific gravity, and concentration
Density is a measure of mass per unit volume. Density measurements apply to both pure substances
such as mercury or silver and compounds such as air and water. Typical density units include:
•kg/m
•g/cm
•lb (mass)/ft
•lb (mass)/gal
3
3
3
3
Enhanced Density Application: Theory, Configuration, and Use3
Enhanced Density Theory and Background continued
Specific gravity is the ratio of two densities:
Density of Process Fluid at Reference Temperature T1
Density of Reference Fluid at Reference Temperature T2
Water is typically used as the reference fluid. The T1 and T2 temperature values may be different.
Specific gravity has no units. The following reference temperature combinations are frequently used
to calculate specific gravity:
•SG20/4 – Process fluid at 20 °C, water at 4 °C (density = 1.0000 g/cm
•SG20/20 – Process fluid at 20 °C, water at 20 °C (density = 0.9982 g/cm
•SG60/60 – Process fluid at 60 °F, water at 60 °F (density = 0.9990 g/cm
Concentration describes the quantity of one substance in a compound in relation to the whole, for
example, the concentration of salt in salt water. Concentration is typically expressed as a percentage.
Concentration can be based on mass or volume:
2.3.2Effects of temperature on density, specific gravity, and concentration
Density always changes with temperature; as temperature increases, density decreases (for most
substances). See Figure 2-1. The amount of change is different for different substances.
4Enhanced Density Application: Theory, Configuration, and Use
Enhanced Density Theory and Background continued
Figure 2-1Density affected by temperature
Temperature = 4 °C Temperature = 25 °C
100 kilograms
100.0 liters
Density at 4
°C = 1000 kg/m
3
100 kilograms
100.3 liters
Density at 25
°C = 997 kg/m
3
Specific gravity does not vary with changing temperature, because it is defined at reference
temperatures.
When concentration is measured, the solute and the solvent typically have different responses to
temperature, that is, one expands more than the other as temperature increases. Therefore:
•Concentration values based on mass are not affected by temperature. This is the most common
type of concentration measurement. See Figure 2-2.
•Concentration values based on volume are affected by temperature. These concentration
measurements are rarely used, with the exception of the distilled spirits industry (proof is a
concentration measurement based on volume).
Figure 2-2Concentration not affected by temperature
Theory and BackgroundUser-Defined CurvesStandard or Custom CurvesBefore You Begin
++
55 kg sucrose45 kg water100 kg sucrose solution
55 °Brix concentration
at all temperatures
Enhanced Density Application: Theory, Configuration, and Use5
Enhanced Density Theory and Backgroundcontinued
Because of these temperature effects, there is not a one-to-one relationship between density and
concentration (see Figure 2-3). A three-dimensional surface – concentration, temperature, and
density – is required. This three-dimensional surface is the enhanced density curve. Different process
fluids have different enhanced density curves. A typical enhanced density curve is shown in
Figure 2-4.
Figure 2-3Relationship between density and concentration at two different temperatures
1.8
1.8
1.6
1.6
)
3
1.4
1.4
1.2
1.2
Density (g/cm
1.0
1
Temperature 1
Temp 1
Temperature 2
Temp 2
0.8
0.8
050100
050100
Figure 2-4Example density curve
1.6
1.5
1.4
1.3
Y axis:
Density
1.2
1.1
Concentration (%)
100
20
60
Z axis:
Temperature
1.0
12
16
20
24
28
32
X axis:
Concentration
6Enhanced Density Application: Theory, Configuration, and Use
36
40
44
48
52
Enhanced Density Theory and Background continued
2.3.3Calculating concentration from density
There are two main steps in calculating concentration (see Figure 2-5):
1. Applying temperature correction to density process data. This step maps the current point on
the enhanced density surface to the equivalent point on the reference temperature isotherm,
producing a density-at-reference-temperature value.
2. Converting the corrected density value to a concentration value. Because all density values
have been corrected for temperature, any change in density must be a result of change in
composition of the process fluid, and a one-to-one conversion can be applied.
The enhanced density curve data stored in the transmitter contains the coefficients required to collapse
the surface to the density-at-reference-temperature curve, and to map that curve to the concentration
axis.
Figure 2-5Enhanced density calculations
1.6
1.5
1.4
1.3
Y axis:
Density
1.2
1.1
1.0
X axis:
Concentration
12
16
20
24
28
32
36
40
44
48
52
100
Theory and BackgroundUser-Defined CurvesStandard or Custom CurvesBefore You Begin
Reference
temperature
isotherm
20
60
Z axis:
Temperature
2.4Defining a Micro Motion enhanced density curve
This section provides a conceptual overview of the process of defining an enhanced density curve.
Specific configuration instructions are provided for standard or custom curves in Chapter 3, and for
user-defined curves in Chapter 4.
There are five steps involved in defining an enhanced density curve:
•Specifying the derived variable
•Specifying required reference values
•Defining the enhanced density surface
•Mapping density at reference temperature to concentration
•Curve fitting
Enhanced Density Application: Theory, Configuration, and Use7
Enhanced Density Theory and Background continued
Step 1Specifying the derived variable
The enhanced density application can calculate concentration using any of several different methods,
for example, mass concentration derived from reference density, or volume concentration derived
from specific gravity. The method used, and therefore the concentration measurement in effect, is
determined by the configured “derived variable.”
Depending on the specified derived variable, different enhanced density process variables are
available for use in process control. Table 2-1 lists the derived variables and the available process
variables for each derived variable. Be sure that the derived variable you choose will provide the
enhanced density process variables required by your application, and can be calculated from the data
that you have.
Note: All “net” process variables assume that the concentration data is based on percent. This
includes Net mass flow rate, Net volume flow rate, and the related totals and inventories. If you will
be using a “net” process variable for process measurement, ensure that your concentration values are
based on percent solids.
Table 2-1Derived variables and available process variables
Available process variables
Derived variable – ProLink II label
and definition
Density @ Ref
Density at reference temperature
Mass/unit volume, corrected to a given
reference temperature
SG
Specific gravity
The ratio of the density of a process fluid at
a given temperature to the density of water
at a given temperature. The two given
temperature conditions do not need to be
the same
Mass Conc (Dens)
Mass concentration derived from reference
density
The percent mass of solute or of material
in suspension in the total solution, derived
from reference density
Mass Conc (SG)
Mass concentration derived from specific
gravity
The percent mass of solute or of material
in suspension in the total solution, derived
from specific gravity
Volume Conc (Dens)
Volume concentration derived from
reference density
The percent volume of solute or of material
in suspension in the total solution, derived
from reference density
Density at
reference
temperature
✓✓
✓✓✓
✓✓✓ ✓
✓✓✓✓ ✓
✓✓✓✓
Standard
volume
flow rate
Specific
gravity
Concentration Net
mass
flow rate
Net
volume
flow rate
8Enhanced Density Application: Theory, Configuration, and Use
Enhanced Density Theory and Background continued
Table 2-1Derived variables and available process variables (continued)
Available process variables
Derived variable – ProLink II label
and definition
Volume Conc (SG)
Volume concentration derived from specific
gravity
The percent volume of solute or of material
in suspension in the total solution, derived
from specific gravity
Conc (Dens)
Concentration derived from reference
density
The mass, volume, weight, or number of
moles of solute or of material in
suspension in proportion to the total
solution, derived from reference density
Conc (SG)
Concentration derived from specific gravity
The mass, volume, weight, or number of
moles of solute or of material in
suspension in proportion to the total
solution, derived from specific gravity
Density at
reference
temperature
✓✓✓✓✓
✓✓✓
✓✓✓✓
Standard
volume
flow rate
Specific
gravity
Concentration Net
mass
flow rate
Net
volume
flow rate
Theory and BackgroundUser-Defined CurvesStandard or Custom CurvesBefore You Begin
Step 2Specifying required reference values
Depending on the derived variable, different reference values are required for the enhanced density
calculation. Table 2-2 lists and defines the reference values that may be required. Table 2-3 lists the
derived variables and the reference values that each requires.
Table 2-2Reference value definitions
Reference valueDefinition
Reference temperature of process fluidThe temperature to which density values will be corrected
Reference temperature of waterThe T2 temperature value to be used in calculating specific gravity
Reference density of waterThe density of water at the T2 reference temperature
Table 2-3Derived variables and required reference values
Reference values
Reference temperature
Derived variable
Density @ Ref✓
SG✓✓✓
Mass Conc (Dens)✓
Mass Conc (SG)✓✓✓
Volume Conc (Dens)✓
Volume Conc (SG)✓✓✓
Conc (Dens)✓
Conc (SG)✓✓✓
of process fluid
Reference temperature
of water
Reference density of
water
Enhanced Density Application: Theory, Configuration, and Use9
Enhanced Density Theory and Background continued
Step 3Defining the enhanced density surface
The enhanced density surface provides the information required to perform temperature correction on
density process data, that is, to map process density values to density at reference temperature. To
define the enhanced density surface:
1. Specify 2 to 6 temperature values that will define the temperature isotherms
2. Specify 2 to 5 concentration values that will define the concentration curves
3. For each data point (intersection of a temperature isotherm with a concentration curve),
specify the density of the process fluid at the corresponding temperature and concentration.
For example, to define the enhanced density surface shown in Figure 2-6, with 6 temperature
isotherms and 5 concentration curves, you must specify the density of the process fluid at
Concentration A and Temperature 1, at Concentration A and Temperature 2, and so on through
Concentration E and Temperature 6.
Figure 2-6Example density curve
Concentration curves A–E
1.6
1.5
1.4
1.3
Y axis:
Density
1.2
1.1
1.0
12
X axis:
Concentration
16
20
24
28
32
36
40
44
48
52
100
20
60
Z axis:
Temperature
Micro Motion recommends:
•Specifying the reference temperature as one of the temperature isotherms
•Selecting a range of temperature values that includes and is slightly larger than the range of
expected process temperatures
•Selecting a range of concentration values that includes and is slightly larger than the range of
expected process concentrations
Data for many process fluids can be obtained from published tables. Data for sodium chloride is
shown in Table 2-4.
Temperature
isotherms 1–6
10Enhanced Density Application: Theory, Configuration, and Use
Enhanced Density Theory and Background continued
Table 2-4Density of sodium chloride (NaCl) in water (H
Concentration %0 °C10 °C25 °C40 °C60 °C80 °C100 °C
11.007471.007071.004090.999080.99000.97850.9651
21.015091.014421.011121.005930.99670.98520.9719
41.030381.029201.025301.019771.01030.99880.9855
81.061211.059071.054121.047981.03811.02641.0134
121.092441.089461.083651.076991.06671.05491.0420
161.124191.120561.114011.106881.09621.08421.0713
201.156631.152541.145331.137741.12681.11461.1017
241.189991.185571.177761.169711.15841.14631.1331
261.207091.202541.194431.186141.17471.16261.1492
O) at different temperatures and concentrations
2
Step 4Mapping density at reference temperature to concentration
Note: If density at reference temperature or specific gravity was specified as the derived variable,
conversion to concentration is not required because these two variables are not measures of
concentration. Therefore, this step is omitted.
The enhanced density application must be able to map the density-at-reference-temperature curve to
concentration. This is accomplished by:
Theory and BackgroundUser-Defined CurvesStandard or Custom CurvesBefore You Begin
•Specifying 2 to 6 concentration values. Micro Motion recommends using the same values that
were used in Step 3.
•For each concentration value, specifying the corresponding density of the process fluid at
reference temperature.
Again, data for many process fluids can be obtained from published tables. For example, if the
process fluid is sodium chloride in water, and the specified reference temperature is 25 °C, the third
column of data in Table 2-4 provides the required values.
Step 5Curve fitting
When data entry is complete, the transmitter automatically generates the enhanced density curve.
There are two measures of the goodness of a density curve:
•The outcome of the curve-fitting algorithm. Concentration will be calculated from the input
data only if the curve fit results are
Good. If the curve fit results are Poor or Fail, you must
repeat the process with modified data. Options include:
-Correcting inaccurately entered data
-Reconfiguring the curve using fewer temperature isotherms or concentration curves
If the curve fit results are
Empty, the curve-fitting calculation has not completed or has failed.
Wait for another minute, or reenter your data.
•The curve fit error. This value is based on the average error of the curve fit and does not
include any error values used to define the density curve, or any error in the density or
temperature measurements.
Note: Determination of the overall accuracy of the concentration calculation is complex and can be
laborious. If this information is required, contact Micro Motion customer service.
Enhanced Density Application: Theory, Configuration, and Use11
Enhanced Density Theory and Background continued
The curve fit error is reported in the concentration unit that is currently active. It may be
represented as a value like the following:
In this example, if the concentration unit for the density curve is % solids, the average curve fit
error is 0.000084337 % solids.
2.5Enhanced density application example
A plant uses a caustic cleaning solution (NaOH in H
To meet emission standards, the total concentration of NaOH in the wastewater cannot exceed 5%.
The concentration standard is defined on mass (rather than volume).
Without the enhanced density application
Based on testing, the cleaning solution is assumed to flow into the discharge tank at a concentration of
50%. Therefore, to comply with emission standards, one unit of the cleaning solution should be
diluted with 19 units of water. Periodically, samples are tested in the lab to monitor compliance.
This approach has the following drawbacks:
•The concentration of the cleaning solution may be different from the original sample.
•The concentration of the cleaning solution may vary beyond tolerances.
•Laboratory testing is slow and expensive, and may not catch serious variance: some batches
may be in violation of standards, while other batches contain more water than required, which
is unnecessary expense.
•Processing waste one batch at a time is inefficient.
•There is no provision for handling bad batches.
8.4337E-5
O) and discharges it into the city water system.
2
With the enhanced density application
A continuous blending process is implemented. A downstream flowmeter with the enhanced density
application is configured to measure concentration (mass). Through a PLC, the flowmeter controls an
upstream valve that controls the flow of water into the static mixer.
Using this technology:
•Any variation in the concentration of the cleaning solution flowing into the discharge tank is
compensated for, immediately and automatically.
•No laboratory testing is required.
•Batching is eliminated, along with bad batches.
12Enhanced Density Application: Theory, Configuration, and Use
Chapter 3
Loading a Standard or Custom Curve
3.1About this chapter
This chapter defines standard and custom curves, and provides instructions for loading them.
Note: If the standard curves are not appropriate for your application, you did not purchase custom
curves, and you require transmitter output based on enhanced density, you must configure one or
more curves to meet your application requirements. See Chapter 4 for instructions.
Note: For information on using and modifying an existing curve, see Chapter 5.
3.2Standard and custom curves
When the enhanced density application is purchased, a set of six standard curves is supplied. These
curves, with the measurement units they are based on, are described in Table 3-1.
These curves are supplied in several different ways:
•For Series 3000 transmitters, if the Food and Beverage Option is purchased, the curves are
preloaded into transmitter memory. (The Food and Beverage Option is not available for Series
2000 transmitters.)
Theory and BackgroundUser-Defined CurvesStandard or Custom CurvesBefore You Begin
•For Series 2000 transmitters purchased with the enhanced density application, the curves are
supplied on the enhanced density CD.
•If ProLink II is purchased, the curves are supplied on the ProLink II installation CD.
In addition, custom curves may be purchased. These curves are defined at the factory using
customer-supplied data. Custom curves can be preloaded onto the transmitter at the factory, or the
customer can load the curve file(s) into the transmitter.
Table 3-1Standard curves and associated measurement units
NameDescriptionDensity unitTemperature unit
Deg BallingCurve represents percent extract, by mass, in
solution, based on °Balling. For example, if a wort
is 10 °Balling and the extract in solution is 100%
sucrose, the extract is 10% of the total mass.
Deg BrixCurve represents a hydrometer scale for sucrose
solutions that indicates the percent by mass of
sucrose in solution at a given temperature. For
example, 40 kg of sucrose mixed with 60 kg of
water results in a 40 °Brix solution.
Deg PlatoCurve represents percent extract, by mass, in
solution, based on °Plato. For example, if a wort is
10 °Plato and the extract in solution is 100%
sucrose, the extract is 10% of the total mass.
g/cm
g/cm
g/cm
3
3
3
°F
°C
°F
Enhanced Density Application: Theory, Configuration, and Use13
Loading a Standard or Custom Curve continued
Table 3-1Standard curves and associated measurement units (continued)
NameDescriptionDensity unitTemperature unit
HFCS 42Curve represents a hydrometer scale for HFCS 42
(high fructose corn syrup) solutions that indicates
the percent by mass of HFCS in solution.
HFCS 55Curve represents a hydrometer scale for HFCS 55
(high fructose corn syrup) solutions that indicates
the percent by mass of HFCS in solution.
HFCS 90Curve represents a hydrometer scale for HFCS 90
(high fructose corn syrup) solutions that indicates
the percent by mass of HFCS in solution.
g/cm
g/cm
g/cm
3
3
3
°C
°C
°C
3.3Loading procedures
If a curve has been provided as a file, it must be loaded into a transmitter slot using ProLink II. See
Section 3.3.1. This procedure can be used with any transmitter that can be accessed by ProLink II. It
can also be used for any user-defined curve that has been saved to a file.
If a curve has been preloaded into transmitter memory on a Series 3000 transmitter, it must be loaded
into a slot using the transmitter display.
•To load a preloaded curve into a slot on the Series 3000 4-wire transmitter, see Section 3.3.2.
•To load a preloaded curve into a slot on the Series 3000 9-wire transmitter, see Section 3.3.3.
If a curve has been preloaded into transmitter memory on a Series 2000 transmitter, it has already
been loaded into a slot.
3.3.1Using ProLink II
Note: This method cannot be used with preloaded curves. The curve must be available as a file.
To load a curve file into a slot using ProLink II:
1. Set the transmitter measurement units for temperature and density to the units used to create
the curve you are loading.
•For standard curves, see Table 3-1 for the units to use.
•For custom curves supplied by Micro Motion, see the information provided with the curve.
For information on configuring the measurement units, see your transmitter documentation.
2. Click
ProLink > Configuration > ED Setup. A window similar to Figure 3-1 is displayed.
3. If necessary, change the derived variable. If you are loading a standard curve, set the derived
variable to Mass Conc (Dens). If you are loading a custom curve, set the derived variable to the
derived variable used by the custom curve. The list of available process variables is updated to
match the derived variable.
Warning: Changing the derived variable will erase all existing curve data.
4. Use the
loaded (Density Curve 1–6), and click
5. Click the
Curve being configured dropdown list to specify the slot into which the curve will be
Apply.
Load this curve from a file button and specify the curve file to be loaded.
6. Repeat Steps 4 and 5 to load as many curves as required. Make sure that all loaded curves use
the same derived variable.
14Enhanced Density Application: Theory, Configuration, and Use
Loading a Standard or Custom Curvecontinued
7. If desired, check the Lock/Unlock ED curves checkbox to lock the curves. When curves are
locked, no curve parameters can be changed. You can specify a different active curve. You can
also specify a different curve to configure, so that you can view the curve parameters, but you
cannot change any of those parameters.
Note: The Lock/Unlock ED Curves option is available only on Series 2000 transmitters v4.1 and
higher, Series 2000 F
OUNDATION
™
fieldbus transmitters v3.0 and higher, or Series 3000 transmitters
v6.1 and higher.
Figure 3-1ED Setup window – Loading a curve
Specify the slot (see Step 4)Specify the file to load (see Step 5)
Specify the derived variable (see Step 3)
Theory and BackgroundUser-Defined CurvesStandard or Custom CurvesBefore You Begin
Lock the curves (see Step 7)
Enhanced Density Application: Theory, Configuration, and Use15
Loading a Standard or Custom Curve continued
3.3.2Using the display on Series 3000 4-wire transmitters
If the Food and Beverage option was purchased, the display can be used to load a standard curve into
any slot. To load a standard curve using the display:
1. Open the
Density functions menu (see Figure 3-2). If the derived variable is not Mass conc
(Dens), it will be automatically set to Mass conc (Dens). Changing the derived variable will
automatically erase all enhanced density curves in the transmitter. A warning is displayed,
allowing you to cancel the action if desired.
2. Select
Load standard curve.
3. Select the slot (Empty curve 1 – 6).
4. Select the curve to be loaded. Any existing data in the selected slot is overwritten.
When loading curves, ensure that the transmitter is connected to the core processor. Curve data is
stored in the core processor.
16Enhanced Density Application: Theory, Configuration, and Use
Loading a Standard or Custom Curve continued
3.3.3Using the display on Series 3000 9-wire transmitters
The display on the Series 3000 9-wire transmitter can be used to load a standard curve into any slot.
All curves must be standard or all curves must be custom; you cannot mix standard, custom, and
user-defined curves.
To load a standard curve using the display:
1. Using the
Density functions menu (see Figure 3-3), configure the data source from which the
derived variable will be calculated.
2. If the frequency input will be used as the flow source for the enhanced density application,
configure the frequency input to represent mass flow. For information on configuring the
frequency input, see your transmitter documentation.
3. Using the
Density functions menu:
a.Set the derived variable to Standard.
b. Select the slot (Density curve 1 – 6).
c.Select the curve to be loaded. Any existing data in the selected slot is overwritten.
Figure 3-3Series 3000 9-wire transmitter menu
Theory and BackgroundUser-Defined CurvesStandard or Custom CurvesBefore You Begin
Enhanced Density Application: Theory, Configuration, and Use17
18Enhanced Density Application: Theory, Configuration, and Use
Chapter 4
Configuring a User-Defined Curve
4.1About this chapter
This chapter provides information on configuring a user-defined enhanced density curve. Micro
Motion recommends that you review Section 2.4 before starting this procedure.
Note: If you are loading a pre-defined curve (a standard or custom curve, or a curve that has been
saved to a file), follow the instuctions in Chapter 3.
Note: For information on using and modifying an existing curve, and saving a curve to a file, see
Chapter 5.
4.2Measurement units
When a density curve is configured, the measurement units used to enter temperature and density in
the curve data must match the measurement units configured for transmitter processing. If you
subsequently change the transmitter’s temperature or density unit, all configured curves will be
automatically updated to use the new unit. For information on configuring measurement units, see the
transmitter documentation.
4.3Configuration steps
To configure a user-defined curve using ProLink II, see Section 4.3.1.
To configure a user-defined curve using the Series 3000 display, see Section 4.3.2.
4.3.1Using ProLink II
Follow the steps in this section to configure a user-defined curve.
Theory and BackgroundUser-Defined CurvesStandard or Custom CurvesBefore You Begin
1. Click
2. Specify the derived variable by selecting it from the dropdown list. Derived variables are listed
Note: Changing the derived variable will erase all existing curve data in the transmitter. All curves in
the transmitter m ust use the same derived variable. Be sure that any existing curves have been saved
to a file before changing the derived variable. See Section 5.5 for information on saving an enhanced
density curve to a file.
3. Up to six curves can be configured. Specify the curve to be configured by selecting it from the
Enhanced Density Application: Theory, Configuration, and Use19
ProLink > Configuration > ED Setup. A window similar to Figure 4-1 is displayed.
and defined in Table 2-1.
dropdown list.
Configuring a User-Defined Curve continued
Figure 4-1ED Setup window – Configuring a curve
Specify the derived
variable (see Step 2)
Select the curve to configure
(see Step 3)
Name the curve
(see Step 4a)
Specify reference
data (see Step 4b)
Specify extrapolation
alarm limit (see
Step 4c)
Specify concentration
unit label (see Step 4d)
Specify special label
(see Step 4d)
Lock the curves
(see Step 10)
4. Specify curve setup data:
a.Name the curve as desired. The name can contain a maximum of 8 characters.
b. Specify reference data. Different derived variables require different reference data.
ProLink II enables and disables reference data textboxes as appropriate to your derived
variable. Enter data in all textboxes that are enabled, which will include some or all of the
following:
•Reference temperature (for the process fluid). Enter the temperature to which the
density will be corrected. Enter the temperature value in the temperature units that are
currently configured on the transmitter.
•Water reference temperature. Specify the water reference temperature to be used in
calculating the specific gravity. Enter a value between 32 °F and 212 °F (0 °C and
100 °C), using the temperature units that are currently configured on the transmitter.
•Water reference density. This value represents the water density as calculated by the
transmitter. Modify as required. Enter the value in the density units that are currently
configured on the transmitter.
c.Specify the extrapolation alarm limit. This specifies how much the process temperature
and process density can vary above and below the density curve’s defined range before an
extrapolation alarm will be posted. For example, if the highest temperature isotherm is
100 °C, and the extrapolation alarm limit is set to 5%, an alarm will be posted if the actual
process temperature exceeds 105 °C.
20Enhanced Density Application: Theory, Configuration, and Use
Configuring a User-Defined Curvecontinued
Note: As the value for extrapolation alarm limit is increased, the probability of inaccurate enhanced
density calculations also increases. Micro Motion recommends using the default value for
extrapolation alarm limit.
d. Specify the label to be used for the concentration unit. Pre-defined labels are listed in
Table 4-1. Table 4-1 also describes the typical use of each label. If none of the pre-defined
labels is appropriate, select
Special, then enter the text to be used for the label.
Note: The label specified here is used for display purposes, and has no effect on transmitter
processing. However, for consistency and ease of use, select a label that appropriately represents the
values you will enter in Steps 6 and 7.
e.Click
Apply.
Table 4-1Concentration unit labels and definitions
LabelTypical density curve represents
% PlatoPercent extract, by mass, in solution, based on °Plato. For example, if a wort is 10 °Plato and
the extract in solution is 100% sucrose, the extract is 10% of the total mass
% Solids/MassPercent mass of solute or of material in suspension in the total solution
% Solids/VolumePercent volume of solute or of material in suspension in the total solution, calculated at
reference temperature
degBallingPercent extract, by mass, in solution, based on °Balling. For example, if a wort is 10 °Balling
and the extract in solution is 100% sucrose, the extract is 10% of the total mass
degBaume (H)The conversion for °Baume heavy. The fluid reference temperature is 60 °F and the water
reference temperature is 60 °F. (°Baume is calculated when fluid reference temperature and
water reference temperature are both set to 60 °F.)
degBaume145
This label should be used for fluids heavier than water.
degBaume (L)The conversion for °Baume light. The fluid reference temperature is 60 °F and the water
reference temperature is 60 °F. (°Baume is calculated when fluid reference temperature and
water reference temperature are both set to 60 °F.)
degBaume
This label should be used for fluids lighter than water.
degBrixA hydrometer scale for sucrose solutions that indicates the percent by mass of sucrose in
solution at a given temperature. For example, 40 kg of sucrose mixed with 60 kg of water
results in a 40 °Brix solution.
degTwaddellA value from which the specific gravity of liquids can be calculated, using the following
formula:
Tx200d 1–()×=
where T× is the reading in degrees Twaddell, and d is the required specific gravity
Proof/MassThe proof of the solution, based on mass, and calculated at reference temperature. A value of
50 here is equivalent to a value of 25 using % Solids/Mass.
Proof/VolumeThe proof of the solution, based on volume, and calculated at reference temperature. A value
of 50 here is equivalent to a value of 25 using % Solids/Volume.
SpecialSelect this option if none of the labels in this table describes your density curve. You will be
allowed to enter a label of your choice.
–=
----------------------------------------------
SpecificGravity
145
----------------------------------------------
SpecificGravity
140
130–=
Theory and BackgroundUser-Defined CurvesStandard or Custom CurvesBefore You Begin
5. Click
ProLink > Configuration > ED Curve Config. A window similar to Figure 4-2 is
displayed, showing data for the curve that is currently being configured.
Enhanced Density Application: Theory, Configuration, and Use21
Configuring a User-Defined Curve continued
This window has two main work areas:
•Process Fluid Density at Specified Temperature and Concentration is used to define
the three-dimensional surface described in Section 2.3.2. During the curve-fitting
procedure, the enhanced density application will calculate coefficients that will be
used to map all points on this surface to their equivalent values at reference
temperature.
•Process Fluid Density at Reference Temperature and Specified Concentration is used
to enter data that will be used to map density values at reference temperature to the
equivalent concentration values.
If you specified Density @ Ref or SG as the derived variable, the Process Fluid Density at Reference Temperature and Specified Concentration work area is disabled, because the derived
variable is not a concentration value and therefore this conversion is not required.
Figure 4-2ED Curve Config window
Concentration curves (see Step 6a)Temperature isotherms (see Step 6b)
Data point textboxes
(see Step 6c)
Curve fit results
(see Step 8)
22Enhanced Density Application: Theory, Configuration, and Use
Concentration points
(see Step 7a)
Density at reference temperature
(see Step 7b)
Configuring a User-Defined Curvecontinued
6. In the Process Fluid Density at Specified Temperature and Concentration work area:
a.In the
Concentration % textboxes, enter the concentration values that identify the
concentration curves (see Figure 2-6). Enter the values as percentages, in the
concentration unit that you want to be used for calculating the derived variable and
enhanced density process variables. Minimum number of concentration curves is two;
maximum number is five.
Note: If you specified Density @ Ref as the derived variable, enter two to five density values at
reference temperature.
b.In the
Temp Iso textboxes, enter the temperature values that define the temperature
isotherms (see Figure 2-6). Minimum number of temperature isotherms is two; maximum
number is six.
c.For each data point (intersection of concentration curve and temperature isotherm), enter
the density of the process fluid at the corresponding concentration curve and temperature
isotherm. For example, for Point A1, enter the density of the process fluid at concentration
A and temperature 1.
Note: You must enter a value for each data point. If any data points are undefined, the curve fitting
results will be Empty or Fail.
7. If you specified Density @ Ref or SG as the derived variable, the Process Fluid Density at
Reference Temperature at Specified Concentration work area is disabled. Continue with
Step 8.
Theory and BackgroundUser-Defined CurvesStandard or Custom CurvesBefore You Begin
If you specified any other derived variable, enter the following in the Process Fluid Density at
Reference Temperature at Specified Concentration work area:
a.In the
Concentration % textboxes, enter the concentration points that will define the
curve used to convert density values at reference temperature to concentration values.
Enter the values as percentages, in the concentration unit that you want to be used for
calculating the derived variable and enhanced density process variables. Minimum number
of concentration points is two; maximum number is six. These values may or may not
match the concentration curves that you defined in Step 6a.
b. For each concentration point, enter the corresponding density or specific gravity value of
the process fluid at the displayed reference temperature. This is the temperature that you
configured in Step 4b.
8. Click
Apply. The transmitter will attempt to fit a density curve to the configured values. The
results of the curve fit algorithm are shown in the
Curve Fit Results textbox. See Section 4.4
for a discussion of curve fitting.
9. Repeat Steps 3 through 8 for as many density curves as required. Note that all density curves
must use the same derived variable.
10. If desired, check the
Lock/Unlock ED curves checkbox on the ED Setup window (see
Figure 4-1) to lock the curves. When curves are locked, no curve parameters can be changed.
You can specify a different active curve. You can also specify a different curve to configure, so
that you can view the curve parameters, but you cannot change any of those parameters.
Note: The Lock/Unlock ED Curves option is available only on Series 2000 transmitters v4.1 and
higher, Series 2000 F
OUNDATION
™
fieldbus transmitters v3.0 and higher, or Series 3000 transmitters
v6.1 and higher.
Enhanced Density Application: Theory, Configuration, and Use23
Configuring a User-Defined Curve continued
4.3.2Using the display on Series 3000 transmitters
Note: The instructions in this section apply to both 4-wire and 9-wire transmitters.
1. From the
Measurement menu, select Density functions. See Figure 4-3.
2. Specify the derived variable.
3. If you are using a Series 3000 9-wire transmitter:
a.Configure the data source from which the derived variable will be calculated. See
Figure 4-3.
b. If the frequency input will be used as the flow source for the enhanced density application,
configure the frequency input to represent mass flow. For information on configuring the
frequency input, see your transmitter documentation.
4. Select
Configure curve.
5. Specify the slot (Density curve 1–6).
6. Use the appropriate flowchart to enter data for your curve.
•For Density at reference temperature and Specific gravity, see Figure 4-4.
•For all other derived variables, see Figure 4-5.
7. When all values are entered, the transmitter will attempt to fit a density curve to the configured
values. The results of the curve fit algorithm are shown in the
Section 4.4 for a discussion of curve fitting.
Figure 4-3Density functions menu
Curve Fit Results screen. See
(1)
(1) Series 3000 9-wire transmitters only.
Derived variable
None
Density at ref
S.G.
Mass conc (Dens)
Mass conc (SG)
Volume conc (Dens)
Volume conc ( SG)
Conc (Dens)
Conc (SG)
Measurements
Density functions
Configure curveDI next curveData sources
24Enhanced Density Application: Theory, Configuration, and Use
Configuring a User-Defined Curve continued
Figure 4-4Density functions menu – Density at Ref and S.G.
2Density curve 13456
Density at refS.G.
Product name
Product name
Other derived variables
See Figure 4-5
Fluid ref. temp
Temperature isotherms m
Concentration curves n
Temperature 1
Temperature 2
Temperature m
Density at concentration n
Density at concentration 2
Density at concentration 1
• Density at temperature 1
• Density at temperature 2
• Density at temperature m
Curve fit results
Fluid ref. temp
Temperature isotherms m
Concentration curves n
Temperature 1
Temperature 2
Temperature m
Density at concentration n
Density at concentration 2
Density at concentration 1
• Density at temperature 1
• Density at temperature 2
• Density at temperature m
Water ref temp
Calc. water density
Theory and BackgroundUser-Defined CurvesStandard or Custom CurvesBefore You Begin
Curve fit results
Enhanced Density Application: Theory, Configuration, and Use25
Configuring a User-Defined Curve continued
Figure 4-5Density functions menu – Mass conc (SG), Volume conc (SG), Conc (SG), Mass conc (Dens),
Volume conc (Dens), Conc (Dens)
2Density curve 1
3456
Mass conc (SG)
Volume con c (S G)
Conc (SG)
Product name
Fluid ref. temp
Temperature isotherms m
Concentration curves n
Temperature 1
Temperature 2
Temperature m
Density at concentration n
Density at concentration 2
Density at concentration 1
• Density at temperature 1
• Density at temperature 2
• Density at temperature m
Mass conc (Dens)
Volume conc (Dens)
Conc (Dens)
Product name
Fluid ref. temp
Temperature isotherms m
Concentration curves n
Temperature 1
Temperature 2
Temperature m
Density at concentration n
Density at concentration 2
Density at concentration 1
• Density at temperature 1
• Density at temperature 2
• Density at temperature m
Water ref temp
Calc. water density
Number of data points p
Output units
SG 1
Concentration point 1
SG 2
Concentration point 2
SG p
Concentration point p
Curve fit results
26Enhanced Density Application: Theory, Configuration, and Use
Number of data points p
Output units
Reference density 1
Concentration point 1
Reference density 2
Concentration point 2
Reference density p
Concentration point p
Curve fit results
Configuring a User-Defined Curve continued
4.4Curve fitting
There are two measures of the goodness of a density curve:
•The outcome of the curve-fitting algorithm. The concentration will be calculated from the
input data only if the curve fit results are
must repeat the process with modified data. Options include:
-Correcting inaccurately entered data
-Reconfiguring the curve using fewer temperature isotherms or concentration curves
Good. If the curve fit results are Poor or Fail, you
If the curve fit results are
Empty, the curve-fitting calculation has not completed or has failed.
Wait for another minute, or reenter your data.
•The curve fit error. This value is based on the average error in the curve fit, and does not
include any error in the entered data or any error in the density or temperature measurements.
Note: Determination of the overall accuracy of the concentration calculation is complex and can be
laborious. If this information is required, contact Micro Motion customer service.
The curve fit error is reported in the concentration unit that is currently active. It may be
represented as a value like the following:
8.4337E-5
In this example, if the concentration unit for the density curve is % solids, the expected curve
fit error is 0.000084337 % solids.
Theory and BackgroundUser-Defined CurvesStandard or Custom CurvesBefore You Begin
Enhanced Density Application: Theory, Configuration, and Use27
28Enhanced Density Application: Theory, Configuration, and Use
Chapter 5
Using an Enhanced Density Curve
5.1About this chapter
This chapter discusses the following topics:
•Specifying the active curve
•Using enhanced density process variables in transmitter configuration
•Modifying a curve
•Saving a curve to a file
5.2Specifying the active curve
Only one curve can be active (in use by the transmitter) at a time. Specify the active curve using either
ProLink II or the display on a Series 3000 transmitter.
Note: If you are using a Series 3000 transmitter, curves that were loaded through the display are
marked with an asterisk (*). This mark does not affect processing in any way.
4. Click Apply.
ED Process Variables window is open, close it.
ProLink > Configuration > ED Setup. The window shown in Figure 5-1 is displayed.
Active Curve. All curves that have been loaded into slots are listed. Select the
desired curve from the list.
Enhanced Density Application: Theory, Configuration, and Use29
Using an Enhanced Density Curve continued
Figure 5-1ED Setup window – Specifying the active curve
Specify the active
curve (see Step 3)
5.2.2Using the display on Series 3000 transmitters
To specify the curve to use for enhanced density calculations using the display on a Series 3000
transmitter, use the
Density curves option in the View menu. See Figure 5-2.
Figure 5-2View menu – Specifying the active curve
Density curves
Loaded curves
View
30Enhanced Density Application: Theory, Configuration, and Use
Using an Enhanced Density Curve continued
5.3Using enhanced density process variables
When the enhanced density application is enabled and an active curve has been specified, any of the
available enhanced density process variables can be used like any other process variable. For example:
•Transmitter outputs can be configured to report enhanced density process variables.
•Events can be defined on enhanced density process variables.
•A discrete input can be configured to reset an enhanced density total.
Enhanced density process variables are automatically included in transmitter configuration options.
Note: All “net” process variables assume that the concentration data is based on percent. This
includes “net” totals and inventories.
5.4Modifying the curve
An existing density curve may be modified. The following parameters can be modified without
affecting the enhanced density calculations:
•Curve name
•Concentration unit label and optional text string
•Extrapolation alarm limit
Note: As the value for extrapolation alarm limit is increased, the probability of inaccurate enhanced
density calculations also increases if the measured density varies beyond the defined density curve.
Micro Motion recommends using the default value for extrapolation alarm limit.
Note: Information on performing a density curve trim is provided in Chapter 6.
Do not change any other parameters. In particular, if you change the derived variable, all data is
erased for all existing curves.
If you are using ProLink II and the
view configuration information for the active curve, but you will not be allowed to make any changes.
To make changes, you must first close the
If the density curves have been locked, you will be allowed to change the active curve and to view
configuration information for any curve, but you will not be allowed to change any curve parameters.
5.5Saving a density curve
Micro Motion recommends that all modified or user-defined curves be saved to a file.
ED Process Variables window is open, you will be allowed to
ED Process Variables window.
Note: This feature requires ProLink II and is not available with Series 3000 9-wire transmitters.
To save a curve to a file:
1. Click
2. Use the
3. Click the
ProLink > Configuration > ED Setup.
Curve being configured dropdown list to specify the curve to save, and click Apply.
Save this curve to a file button and specify the file name and location.
4. Repeat these steps for all density curves on your transmitter.
The following are saved to the file:
•Extrapolation alarm limit
•Concentration units label
•Curve trim values
Enhanced Density Application: Theory, Configuration, and Use31
Using an Enhanced Density Curve continued
The following are not saved to the file:
•Derived variable
•Density and temperature measurement units
Note: Micro Motion recommends keeping a configuration record on paper as well as saving the curve
electronically. Configuration record forms are provided in Appendix B.
32Enhanced Density Application: Theory, Configuration, and Use
Chapter 6
Advanced Options
6.1About this chapter
This chapter provides information on the following advanced options:
•Curve fit maximum order
•Density curve trim
6.2Maximum order during curve fit
Curve Fit Max Order defines the maximum order of polynomial to use for the curve fit. The curve
fitting algorithm will always use one fewer than the number of concentration curves used to define the
density curve, up to the configured maximum value.
For example, if
•If you enter 3 concentration points, the algorithm will use a second-order polynomial.
•If you enter 4 concentration points, the algorithm will use a third-order polynomial.
•If you enter 5 concentration points, the algorithm will still use a third-order polynomial.
Before beginning the density curve trim, click the
Setup
The density curve trim is a field adjustment used to bring the transmitter’s concentration output values
closer to reference values over a restricted density and temperature range.
Two modifications can be made to the enhanced density curve: offset only or slope and offset. For
most applications, adjusting the offset is sufficient.
6.3.1Offset trim
To perform an offset trim:
window (see Figure 3-1). This enables the Trim Slope and Trim Offset textboxes.
1. Obtain a good reference value for the concentration of the process fluid. Use the same
concentration unit that the enhanced density application is configured to produce (e.g., mass
concentration derived from density).
2. Obtain the concentration value calculated by the Micro Motion enhanced density application
at the equivalent density and temperature (the measured value).
3. Subtract the reference value from the measured value.
4. (Series 3000 9-wire transmitters only) Divide the value from Step 3 by 100.
5. Enter the result as the trim offset value.
Max Order set to 3.
Show Advanced User Options button on the ED
Enhanced Density Application: Theory, Configuration, and Use33
Advanced Options continued
Note: Ensure that you use the correct sign: If the reference value is higher than the measured value,
enter a positive Trim Offset value; if the reference value is lower than the measured value, enter a
negative Trim Offset value.
6. Obtain a new measured value and compare it to the reference value. If it is acceptably close to
the reference value, the offset trim is complete. If it is not acceptably close, repeat the trim.
Example
6.3.2Slope and offset trim
To perform a slope and offset trim:
1. Compare transmitter output to reference values at two points. You will have two reference
concentration values and two measured concentration values.
2. Enter both sets of values into the following equation:
Enhanced Density Application: Theory, Configuration, and Use35
36Enhanced Density Application: Theory, Configuration, and Use
Appendix A
Isotherm and Concentration Curve Ranges
A.1About this appendix
This appendix discusses good practices in selecting temperature isotherms and concentration curve
values and ranges when defining enhanced density surfaces.
A.2Fewer versus more points
Sodium hydroxide (NaOH caustic soda) concentration is being measured.
•Under normal operating conditions, the concentration is 20% ± 3%.
•The process is stable at approximately 30°C ± 10 °C.
Table A-1 shows the minimum number of values that must be entered to enable measurement:
Table A-1Two isotherms and two concentration curves
Isotherms16% concentration24% concentration
20.00 °C1.1751 g/cm
40.00 °C1.1645 g/cm
This defines the simplest possible surface. For most process fluids, measurement accuracy is
improved by adding more concentration and/or temperature values. Table A-2 and Figure A-1
illustrate a density curve that contains density values at two temperature isotherms and three
concentration curves.
Table A-2Two isotherms and three concentration curves
Enhanced Density Application: Theory, Configuration, and Use37
Isotherm and Concentration Curve Ranges continued
Figure A-1Enhanced density surface derived from Table A-2
1.28
Density
3
in g/cm
1.20
1.10
16
20
% Concentration
A.3Fewer versus more points, and required ranges
Sodium hydroxide (NaOH caustic soda) concentration is being measured.
•The concentration varies from 16% to 50%.
•The temperature varies from 15 °C to 60 °C.
The set of data points used in the previous example are not sufficient here because, for a significant
amount of time, the measured density would be outside the defined surface and past the extrapolation
alarm limit. Table A-3 shows a set of data points that are chosen to include all expected temperature
and concentration values. The resulting enhanced density surface is shown in Figure A-2.
Table A-3Four isotherms and five concentration curves
16%
Isotherms
15.00 °C1.1776 g/cm
20.00 °C1.1751 g/cm
40.00 °C1.1645 g/cm
60.00 °C1.1531 g/cm
concentration
24%
concentration
3
1.2658 g/cm
3
1.2629 g/cm
3
1.2512 g/cm
3
1.2388 g/cm
3
3
3
3
24
32%
concentration
1.3520 g/cm
1.3490 g/cm
1.3362 g/cm
1.3232 g/cm
3
3
3
3
40
40%
concentration
1.4334 g/cm
1.4300 g/cm
1.4164 g/cm
1.4027 g/cm
3
3
3
3
20
Temperature
in °C
50%
concentration
1.5290 g/cm
1.5253 g/cm
1.5109 g/cm
1.4967 g/cm
3
3
3
3
Micro Motion recommends selecting a range of temperature and concentration curves that extend past
the expected process variation. For example, given the variation described above, you might specify
two additional temperature isotherms, one at 10.00 °C and one at 65 °C, and change the concentration
curves so that they range from 12% to 55%.
38Enhanced Density Application: Theory, Configuration, and Use
Isotherm and Concentration Curve Ranges continued
Figure A-2Enhanced density surface derived from Table A-3
Enhanced Density Application: Theory, Configuration, and Use39
40Enhanced Density Application: Theory, Configuration, and Use
Appendix B
Configuration Records
B.1About this appendix
This appendix provides worksheets or configuration records for each type of enhanced density curve.
Make copies as required.
B.2Electronic versus paper configuration records
Using ProLink II, you can save each enhanced density curve to a file, for backup or copying to other
transmitters. Instructions are provided in Chapter 5.
However, the derived variable and the density and temperature units are not saved to the file. Micro
Motion recommends using both methods: keeping paper configuration records as well as saving the
curve to a file.
B.3Derived variable: Density at reference temperature
Curve number:__________________________
Curve name:__________________________
Density unit:__________________________
Process fluid reference temperature:__________________________
Extrapolation alarm limit:__________________________
Trim slope:__________________________
Trim offset:__________________________
Concentration units label:__________________________
Temperature
isothermsReference density values at concentrations A–E
Curve number:__________________________
Curve name:__________________________
Density unit:__________________________
Process fluid reference temperature:__________________________
Water reference temperature:__________________________
Water reference density:__________________________
Extrapolation alarm limit:__________________________
Trim slope:__________________________
Trim offset:__________________________
Concentration units label:__________________________
Temperature
isothermsReference density values at concentrations A–E
42Enhanced Density Application: Theory, Configuration, and Use
Configuration Records continued
B.5Derived variable: Mass Conc (Dens)
Curve number:__________________________
Curve name:__________________________
Density unit:__________________________
Process fluid reference temperature:__________________________
Extrapolation alarm limit:__________________________
Trim slope:__________________________
Trim offset:__________________________
Concentration units label:__________________________
Temperature
isothermsReference density values at concentrations A–E
Enhanced Density Application: Theory, Configuration, and Use43
Configuration Records continued
B.6Derived variable: Mass Conc (SG)
Curve number:__________________________
Curve name:__________________________
Density unit:__________________________
Process fluid reference temperature:__________________________
Water reference temperature:__________________________
Water reference density:__________________________
Extrapolation alarm limit:__________________________
Trim slope:__________________________
Trim offset:__________________________
Concentration units label:__________________________
Temperature
isothermsReference density values at concentrations A–E
44Enhanced Density Application: Theory, Configuration, and Use
Configuration Records continued
B.7Derived variable: Volume Conc (Dens)
Curve number:__________________________
Curve name:__________________________
Density unit:__________________________
Process fluid reference temperature:__________________________
Extrapolation alarm limit:__________________________
Trim slope:__________________________
Trim offset:__________________________
Concentration units label:__________________________
Temperature
isothermsReference density values at concentrations A–E
Enhanced Density Application: Theory, Configuration, and Use45
Configuration Records continued
B.8Derived variable: Volume Conc (SG)
Curve number:__________________________
Curve name:__________________________
Density unit:__________________________
Process fluid reference temperature:__________________________
Water reference temperature:__________________________
Water reference density:__________________________
Extrapolation alarm limit:__________________________
Trim slope:__________________________
Trim offset:__________________________
Concentration units label:__________________________
Temperature
isothermsReference density values at concentrations A–E
46Enhanced Density Application: Theory, Configuration, and Use
Configuration Records continued
B.9Derived variable: Conc (Density)
Curve number:__________________________
Curve name:__________________________
Density unit:__________________________
Process fluid reference temperature:__________________________
Extrapolation alarm limit:__________________________
Trim slope:__________________________
Trim offset:__________________________
Concentration units label:__________________________
Temperature
isothermsReference density values at concentrations A–E
Enhanced Density Application: Theory, Configuration, and Use47
Configuration Records continued
B.10Derived variable: Conc (SG)
Curve number:__________________________
Curve name:__________________________
Density unit:__________________________
Process fluid reference temperature:__________________________
Water reference temperature:__________________________
Water reference density:__________________________
Extrapolation alarm limit:__________________________
Trim slope:__________________________
Trim offset:__________________________
Concentration units label:__________________________
Temperature
isothermsReference density values at concentrations A–E