Milltronics IQ Radar 160 Instruction Manual

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33455500 Rev 1.0
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hank you for purchasing Milltronics products. We endeavour to design
T
equipment that is simple to use and reliable in its operation, with the aim
of satisfying our customers' needs.
Milltronics has been designing and manufacturing process equipment since
1954. Our fields of expertise include ultrasonic and capacitance level
Milltronics is established world wide through associate offices and
representatives. Our network is continually being refined to provide our
customers with first rate sales information, engineering assistance and after
sales support.
For more details on our products and service, please contact us and we will
provide you with a listing of the offices or representatives nearest you.
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TABLE OF CONTENTS
GENERAL INFORMATION
About This Manual .................................................................................................5
About IQ Radar 160...............................................................................................6
SPECIFICATIONS
IQ Radar 160 ...........................................................................................................7
INSTALLATION
Location ....................................................................................................................9
Dimensions............................................................................................................ 1 0
Mounting................................................................................................................ 1 1
Flanged .........................................................................................................11
Extension Requirements........................................................................... 12
Rod Assembly .............................................................................................13
Interconnection ..................................................................................................14
Terminal Block Layout ...............................................................................14
Wiring............................................................................................................. 1 5
START UP
Overview ................................................................................................................17
Display and Keypad ............................................................................................ 1 9
Local Operation.................................................................................................... 20
Run Display ..................................................................................................20
Run Keypad ................................................................................................. 21
Program Display ..........................................................................................22
Program Keypad......................................................................................... 23
Local Programming .................................................................................... 24
OPERATION
Overview ................................................................................................................ 2 7
Transceiver ............................................................................................................ 28
Blanking ................................................................................................................. 29
Loss of Echo .........................................................................................................3 0
Analog Output...................................................................................................... 31
Programming............................................................................................... 31
Ru n................................................................................................................. 31
Fail-safe......................................................................................................... 32
Run / Program ......................................................................................................3 2
Application Example........................................................................................... 33
PARAMETER DESCRIPTION ...........................................................................................35
TROUBLESHOOTING ........................................................................................................41
MAINTENANCE ...................................................................................................................43
APPENDICES
Alphabetical Parameter List .............................................................................. 4 5
Programming Chart ........................................................................................... 46
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GENERAL INFORMATION
ABOUT THIS MANUAL
It is essential that this manual be referred to for proper installation and operation of your IQ Radar 160.
GENERALLINFO. _
Installation
Start-up
Operation
Applications
Parameters
Troubleshooting
Appendices
gives you step-by-step direction for the installation and interconnection of your IQ Radar 160.
instructs you in how to operate the keypad, program the unit and read the display.
describes the operation of the IQ Radar 160, detailing the interoperation of the salient features.
looks at the IQ Radar 160 from a practical point of view, using a typical application example.
lists the parameters available to you, with a description of their function and use. You are urged to read this section to familiarize yourself with the parameters available to you and get your IQ Radar 160 working to its fullest.
tabulates symptoms, causes and actions to common installation and application problems that you might encounter. Hopefully you will never have to read this section, but know it’s there to help you.
what manual would be complete without one! Ours is an alphabetical cross-reference of the parameters and their numbers, and a record sheet for jotting down parameter values. Handy indeed!
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ABOUT IQ RADAR 160
The IQ Radar 160 is to be used only in the manner outlined in this manual.
IQ Radar 160 is a versatile process material level monitoring instrument. Material level measurement is achieved using advanced pulse radar techniques. The unit consists of an electronic component coupled to the antenna.
GENERAL INFO.
IQ Radar 160 Features:
ANSI, DIN flange or sanitary tri-clamp mounting corrosion-resistant construction, aluminum enclosure with stainless steel and
Teflon® wetted parts
local display infrared keypad and Dolphin-compatible
IQ Radar 160 Applications:
liquids, slurries process temperatures up to 200°C vacuum and pressurized vessels
IQ Radar 160 Approvals and Certificates
safety and radio
® Teflon is a registered trademark of Du Pont.
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SPECIFICATIONS
IQ RADAR 160
Power: 100/115/200/230 ±15% V ac*, 50/60 Hz, 15 VA
*factory set – see device nameplate
Interface:
analog output: optically-isolated 0/4-20 mA into 750 max,
0.02 mA resolution Dolphin/RS-485 link: refer to Dolphin product specification programmer link: infrared receiver (refer to P ro g rammer
specification below)
display (local): backlight , alphanumeric and multi -graphic liquid
crystal for readout and entry
SPECIFICATIONS _
Performance:
frequency: 5.8 GHz accuracy: > ±0.3% of range (1 to 10 m) range: 10 m repeatability: 30 µW average fail-safe: mA programmable high, low or hold
Mechanical:
enclosure (electronic):
resonator: plated aluminum flange: 316 stainless steel, 150 psi ANSI, DIN PN16,
antenna:
construction: aluminum , epoxy coated conduit: 2 x 1/2" NPT or PG 16 entry ingress protection: Type 6 / NEMA 6 / IP-67
3" sanitary tri-clamp
type: dielectric rod construction: Teflon
®
weight: 6.5 kg (14.3 lb) with 2"/150 psi ANSI flange,
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weight will vary with flange size and rating
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Environmental:
location: indoor/outdoor altitude: 2000 m max ambient temperature: -20 to 60° C (-4 to 140° F) relative humidity: suitable for outdoor
installation category: II pollution degree: 4
Process:
material dielectric: εr > 4 temperature: -40 to 200°C (-40 to 392°F) pressure (vessel): -100 kPa to 1000 kPa
SPECIFICATIONS _
Programmer (remote keypad):
enclosure: general purpose
ambient temperature: -20 to 50° C (-5 to 122° F) interface: proprietary infrared pulse signal power: 9V battery (ANSI/NEDA 1604, PP3 or equivalent weight: 150 g (0.3 lb)
(Type 6/NEMA 6/IP 67 enclosure)
(-1 to 10 bar or -10 to 150 psi)
67 mm w x 100 mm h x 25 mm d (2.6" w x 4" h x 1" d)
Approvals (refer to device nameplate ) :
safety: CSA radio: BAPT, Transport Canada
NRTL/C
, CE
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INSTALLATION
LOCATION
Installation shall only be performed by qualified personnel
and in accordance with local governing regulations.
This product is susceptible to electrostatic shock.
Follow proper grounding procedures.
Do not mount in direct sunlight without the use of a sun shield.
INSTALLATION _
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DIMENSIONS
(
)
(3.0")
(2.0")
(8.3")
(
)
(
)
(
)
211 mm
50mm
136 mm
5.4"
75 mm
enclosure/ electronics
41 mm
1.6" 245 mm
9.6"
183 mm
7.2"
antenna (resonator)
flange or tri-clamp
antenna (rod)
INSTALLATION _
412 mm
(16.3")
* Flange thickness varies with size and rating. 25mm (1") nominal. Check appropriate standard.
Standard length, 50 and 100 mm (2” and 4") extensions available.
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MOUNTING
FLANGED
1/2" NPT or PG 16 conduit entry
wiring
access
cover
tank
minimum diameter 2" / DIN 50
_
supplied ANSI, DIN flange or sanitary tri-clamp customer flanged standpipe to suit
standpipe/vessel juncture
rod transition
For 2" or 3" / DIN 50 or DIN 80, the straight/taper transition of the rod should extend past the standpipe/vessel opening. Add extensions as required.
For larger diameter standpipes, refer to Extension Requirements.
INSTALLATION _
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INSTALLATION _
MOUNTING (continued)
EXTENSION REQUIREMENTS
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MOUNTING (continued)
ROD ASSEMBLY
standard
rod
INSTALLATION _
50 mm
100 mm
extensions
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INTERCONNECTION
TERMINAL BLOCK LAYOUT
All field wiring must have insulation suitable for at least 250 V.
INSTALLATION _
– mA wiring, 14 – 20 AWG, copper wire, shielded
– RS-485, 14 – 20 AWG, copper wire, shielded
– Line, 12 – 14 AWG, copper wire
– Recommended torque on clamping screws, 0.5 – 0.6 Nm
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WIRING
_
4-20 mA , to instrumentation
RS-485, to host device
V supply, see nameplate
Ground shields at one end only.
The equipment must be protected by a 15 A fuse or
circuit breaker in the building installation.
A circuit breaker or switch in the building installation, marked as the
disconnect switch, shall be in close proximity to the equipment and
within easy reach of the operator.
INSTALLATION _
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INSTALLATION _
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START UP
OVERVIEW
The IQ Radar 160 has two modes of operation: is powered, after installation procedures have been completed, it is programmed to start up in the target in meters.
The unit can be placed into the program parameters in order to better suit the application or user’s preferences. Programming can be carried out locally via the hand programmer or remotely via the optional Dolphin/RS-485 interface.
run
mode, to detect the distance from the antenna flange to the
typical display
program
mode at any time; to alter a number of
run
and
program
. When the unit
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START UP _
RS-485
hand programmer
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The first step in programming is to ensure that all parameters are at their factory setting. The quickest way is to perform a master reset, P999.
For a Quick Start, P001 to P007 are the key parameters requiring entry.
They set: - mode of measurement
- process material
- antenna configuration
- measurement response
- units
- empty distance
- span
There are a number of other program parameters that can be changed subsequently or during another programming session. Refer to Parameter Description for a list of the parameters available.
When programming has been completed, the IQ Radar 160 can be put into by pressing or exiting Dolphin.
run
START UP
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DISPLAY AND KEYPAD
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START UP _
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LOCAL OPERATION
RUN DISPLAY
reading units reading questionable, appears during fail-safe operation auxiliary reading
= normal operation = fail-safe operation
START UP
bar graph representation of material level, 0 to 100% of span
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LOCAL OPERATION (continued)
RUN KEYPAD
In the
run
mode, the following programmer keys perform the identified functions.
Auxiliary
Reading Keys
Function
Keys
Key Auxiliary readings
5
mA
7
8
PX X X
“mA Output Value”
“Rate of Change” (in Units/minute)
“Fail-safe Time Left” (in percent)
“Material Level”
“Distance”
initiate and complete program mode access
%
toggle between Units and %
START UP _
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LOCAL OPERATION (continued)
PROGRAM DISPLAY
parameter type (measurement or mA output) parameter value units parameter number
START UP
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LOCAL OPERATION (continued)
PROGRAM KEYPAD
Function
Keys
Numeric
Keys
Key
0
P
PX X X
C
to
9
values
decimal point
negative value
START UP _
clear value
enter the displayed value
parameter scroll-up
parameter scroll-down
end program session and enable
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run
mode
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LOCAL OPERATION (continued)
Legend
Press the associated Programmer Display shown on key on programmer: key: IQ Radar 160:
LOCAL PROGRAMMING
To Access Program
run
mode
Initial program starts at P000
To Access a Parameter
scroll
direct
START UP
Scroll up or down
e.g. P000 accessed
0
0
5
mA
index parameter field
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e.g. P005 accessed
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LOCAL OPERATION (continued)
Local Programming (continued)
To Change a Parameter Value:
Security must be disabled!
change
Select parameter e.g. P001 = 3
clear
C
e.g. P001 = 1
START UP _
e.g. field entry = 2
e.g. P001 = 1
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LOCAL OPERATION (continued)
Local Programming (continued)
reset
e.g. P001 = 1
To Access Run:
START UP
C
Reset to factory value P001 = 3
from
program
exit and return to
run
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OPERATION
OVERVIEW
IQ Radar 160 is a process material level measuring device using advanced pulse radar technology. The device emits a series of radar pulses and analyses the reflection to calculate the material level.
The device consists of an enclosed electronic component, mounted to a flanged antenna component. The electronic component generates a 5.8 GHz radar signal which is directed to the antenna, a Teflon® dielectric rod coupled to the core of the device’s mounting flange.
The radar signal is emitted axially from the antenna and propagates along this axis in a defined conical beam decreasing in strength at a rate inversely proportional to the square of the distance.
Radar reflection is based on the dielectric constant and planar property of the materials encountered and thus radar is very suitable for still (non-agitated) liquids and slurries. Radar is immune to temperature and atmospheric conditions and variations in the vessel. In an ideal application, echoes from stratified vapours are either non-existent, or minimal compared to major echoes from the process material. Where atmospheric conditions are such that dielectric constants and stratifications are of significance, their echoes can compete with the desired reflection from the process material, making the application troublesome.
The series of echoes from the pulses transmitted are sensed by the antenna during the receive period of the electronics. The echoes are stored as a profile of the activity in the vessel. The profile is analysed and the distance of the material surface to the radar antenna is determined. This distance is used as a basis for display of material level and mA output.
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OPERATION _
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TRANSCEIVER
The IQ Radar 160 transceiver operates under 1 of 5 sets of preset conditions (P003), summarized as follows:
parameter
value
measurement response
echo
verification
filter fail-safe
timer
1 0.1 m/min slow on on 10 0
2 1 m/min on on 10
3 10 m/min on on 1
4 100 m/min off on 0. 1
5 1000 m/min fast off off 0
When the echoes are received, the relevant echo extraction technique (P820) is applied to determine the true material echo.
The measurement response limits the maximum rate at which the display and analog output respond to changes in measurement. It is of concern especially where liquid surfaces are in agitation or falls into the radar path during filling.
OPERATION
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BLANKING
Near blanking (P800) is used to ignore the zone in front of the antenna where false echoes (e.g. ladder rung) appear as an echo during the receive cycle. This is usually indicated by an incorrect high level reading and can be overcome by increasing the near blanking from its factory set value.
Far end blanking is a feature that ignores the zone below the zero or empty level where false echoes can appear at levels that interfere with the processing of the true echo.
end of
transmit
false echo false echo
true echo (level)
Typical receiver signal
0
P800 near blanking
empty distance to antenna
P006
level
far end blanking
range extension (P801) as % P006
range
Typical receiver signal
In applications where the zero level is above the bottom of the vessel and it is desired to monitor the zone below the normal zero, range extension (P801) can be used to extend the range into the far end blanking. Range extension is entered as a percentage of P006. As range extension reduces the protection afforded by the far end blanking, it should be used judiciously. Avoid excessive range extension as this can reduce the measurement’s reliability and accuracy. Range extension is factory set for 20% of P006. If it is found that false echoes are appearing ahead of the blanking zone, P006 should be reduced accordingly.
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OPERATION _
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LOSS OF ECHO
A loss of echo occurs when the IQ Radar 160 deems that the calculated measurement is unreliable, i.e. the confidence (P805) is less than the threshold (P804). This can be due to such circumstances as high level of electrical noise or poor grounding. Refer to Troubleshooting. If the condition persists for a time beyond the limit as set by the fail-safe timer (P070), the confidence icon changes from full to partial and the reading and mA output are immediately forced to the fail-safe default (P071).
Upon receiving a reliable echo, the loss of echo condition is aborted (icon returns to full) and the reading and mA output return to the present level immediately.
OPERATION
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ANALOG OUTPUT
The IQ Radar 160 can be programmed to provide an analog output (P200) of 0 to 20 or 4 to 20 mA, and for proportional or inverse span.
Programming
Upon entering the Program mode, the analog output level holds its prior value.
Run
The analog output responds in the following manner:
Level (P001=1)
Space (P001=2)
0/4 – 20 mA
(P200 = 1 or 2)
20 – 0/4 mA
(P200 = 3 or 4)
Distance (P001=3)
*reference value only. mA level limited by near blanking. 0 and 100% are percentage of full scale reading (m, cm, mm, ft, in)
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OPERATION _
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Fail-safe
When the fail-safe timer (P070) expires, the mA output responds as follows:
Fail-safe Mode (071) Status
0/4 - 20 20 - 0/4
high 22 0/2
low 0/2 22
hold hold hold
RUN / PROGRAM
When the IQ Radar 160 changes from
run
to
program
, the transceiver stops operating and the unit no longer responds to the process. The last measurement is stored and the associated reading and mA output are held.
As a courtesy, the unit reverts to the parameter last addressed during the previous program session.
Upon return to
run
, the transceiver resumes operation. The reading and mA output default to the last measurement taken. The reading and associated outputs migrate to the current process level at a rate controlled by the measurement response (P003).
OPERATION
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APPLICATION EXAMPLE
The minimum distance from the antenna face to the target
is limited by the near blanking, P800.
The application is to obtain a level measurement and corresponding 4-20 mA output proportional to material levels in a chemical tank. The antenna flange is 5 m from the tank bottom. The empty level is 0 m (bottom) and the full level (span) is 4.5 m from the bottom. The maximum rate of filling or emptying is about 1 m/min. In the event of a loss of echo, the IQ Radar 160 is to go into fail-safe low after 2 minutes.
Empty (P006)
Span
(P007)
reset:
P999 master reset
program:
P001 enter ‘1’ mode of measurement = level P002 enter ‘1’ material = liquid P003 enter ‘2’ measurement response = 1m/min. P004 enter ‘240’ antenna = dielectric rod, standard length P005 enter ‘1’ units = metres P006 enter ‘5’ empty distance = 5 m P007 enter ‘4.5’ span = 4.5 m P070 enter ‘2’ fail-safe timer = 2 min. P071 enter ‘2’ fail-safe = low
run:
press run to start normal operation
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OPERATION _
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OPERATION
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PARAMETER DESCRIPTION
P000 lock
Locks out the ability to change parameter values P001 through P999. The program mode is still active, but restricted to viewing only. The lock is enabled if P000 value is other than 1954.
entry: 1954 = unlocked
1954 = locked
P001 operation
Determines the mode of measurement.
entry: 1 = level; material level referenced to empty
distance (P006)
2 = space; space to material level referenced
from zero span
PARAMETER DESCRIPTION _
3 = distance; distance to target referenced
from the flange face
Level Space Distance
(P001 = 1) (P001 = 2) (P001 = 3)
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P002 material
Optimizes measurement reliability for target type.
entry: 1 = liquids, fluids or flat surfaces
P003 measurement response
Collectively sets a number of operating parameters that determine the maximum rate of change in target range that the reading and mA output can keep up to.
PARAMETER DESCRIPTION
If IQ Radar 160 cannot keep up with the rate of level change, select a faster rate. If the reading bounces around an average value, select a slower rate. In general, reliability is traded for speed. Noisy applications or those with agitators tend to be more manageable at slower response rates, as these make use of filtering, echo verification and longer fail­safe delay.
Select P003 for a measurement response just faster than the
greater of the maximum filling or emptying rate.
echo verification: discriminates between agitator blades in motion or
spurious noise, and the target surface (true echo).
filter: discriminates between false echoes from constant
aco ustical or electrical noise and the target surface.
fail-safe timer: establishes the period from the time a loss of echo
starts until the fail-safe default (P071) is effected. The P003 preset timer value can be overridden by P070.
entry:
measurement response echo
verification
filter f-s timer
(P070)
1 = 0.1 m/min slow on on 100
2 = 1 m/min on on 10
3 = 10 m/min on on 1
4 = 102 m/min off on 0 .1
5 = 1020 m/min fast off off 0
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P004 antenna
Identifies antenna configuration. entry: 240 = dielectric rod
P005 units
Determines the units for programming and measurement. entry: 1 = metres
P006 empty
Distance from flange face to empty level or maximum target range.
P007 span
Distance from empty (P006) to full/100% level or minimum target range.
PARAMETER DESCRIPTION _
241 = rod + 50 mm extension 242 = rod + 100 mm extension 243 = rod + 150 mm extension (50 + 100mm)
2 = centimetres 3 = millimetres 4 = feet 5 = inches
P070 fail-safe timer
The amount of time delay, in minutes, before going into fail-saf e mode.
P071 fail-safe material level
Selects the default measurement in the event that the fail-safe timer expires.
entry: 1 = high; maximum span value
2 = low; minimum span value 3 = hold; hold current value
P200 mA range
Enables the mA output function by selecting the range and relationship to span.
Refer to Functional / mA output. entry: 1 = 0 to 20 mA
2 = 4 to 20 mA 3 = 20 to 0 mA 4 = 20 to 4 mA
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P341 run time
View the accumulated number of days the IQ Radar 160 has been operating.
P652 offset correction
An offset value can be applied to the reading as a correction to the measurement.
values: -999 to 9999
PARAMETER DESCRIPTION
P800 near blanking
Sets the amount of blanking as measured from the flange face and extending into the measurement range. Refer to Operation / Blanking.
enter value in units of P005.
P801 range extension
Sets the amount of range extension as measured from the empty distance (P006) and extending into the far end blanking. Refer to Operation / Blanking.
enter as a % of P006, the distance below empty not blanked.
P804 confidence threshold
The minimum echo confidence in dB that the echo must meet in order to prevent a loss of echo condition and the expiration of the fail-safe timer (P070).
enter value in the range of 0 to 99.
P805 echo confidence
A measure of echo reliability.
P806 echo strength
The absolute strength of the selected echo, in dB above 1 µV rms.
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P820 algorithm
Selects the algorithm to be applied to the echo profile in order to extract the true echo.
entry: 1 = best of first and largest
2 = first echo 3 = largest echo
P830 TVT type
Selects the TVT profile applied to the echo profile. entry: 1 = standard
2 = flat
P900 software revision
Displays the EPROM software revision level.
P901 memory
Tests the memory. Test is initiated by scrolling to the parameter or repeated by
PARAMETER DESCRIPTION _
display: PASS = normal
FAIL = consult Milltronics
P911 mA output value
Displays the value from the previous measurement. A test value can be entered and the displayed value is transmitted to the output. Upon returning to the run mode, the parameter assumes the actual mA output level.
P920 reading measurement
Displays the reading measurement that the unit is programmed for in run mode (P001, operation).
P921 material measurement
Displays the reading measurement as though the unit were programmed to read level (P001 = 1).
P922 space measurement
Displays the reading measurement as though the unit were programmed to read space (P001 = 2).
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P923 distance measurement
Displays the reading measurement as though the unit were programmed to read distance (P001 = 3)
P999 master reset
Resets parameters to their factory setting
PARAMETER DESCRIPTION
C
initiate reset
reset complete
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TROUBLESHOOTING
The following is a list of operating symptoms, their probable causes and the actions needed to resolve them.
SYMPTOM CAUSE ACTION
display reads level or target is out of
range
application too steamy, under these conditions range can be adversely affected.
material build-up on antenna
location or aiming:
-poor installation
-moved by material or vibration
-flanging not level
-standpipe not vertical
antenna malfunction:
-temperature too high
-physical damage
-excessive foam or skin
check specifications
check parameters
re-locate IQ Radar 160
increase fail-safe timer, P070
clean
re-locate IQ Radar 160
relocate or re-aim IQ Radar 160 for maximum echo confidence, P805
inspect
use foam deflector or stilling well or relocate
TROUBLESHOOTING _
Reading does not change, but the level does
*refer to associated manual
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IQ Radar 160 processing wrong echo, i.e. vessel wall, or structural member
re-locate IQ Radar 160
check standpipe for internal burrs or welds
increase blanking, P800
raise short measurement confidence threshold, P804
… continued
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SYMPTOM CAUSE ACTION
Measurement is consistently off by a constant amount
Screen blank power error check nameplate rating
Reading erratic echo confidence weak,
TROUBLESHOOTING
Reading ‘EEEE’ reading too large re-program
measurement offset correct using P652
against voltage supply
check power wiring or source
refer to P805 liquid surface agitated, material filling
decrease measurement
response P003
enable filter, echo
verification
re-locate IQ Radar 160
ie. empty distance P006
or span P007
Reading response slow P003 setting increase response if
possible
Reads correctly but occasionally reads high
detecting close range echo
increase blanking
when vessel is not full
High level reading lower than material level
material is within near blanking zone
decrease blanking P800
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MAINTENANCE
The IQ Radar 160 requires no maintenance or cleaning; however, a program of periodic checks is advised.
MAINTENANCE _
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MAINTENANCE
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APPENDICES
ALPHABETICAL PARAMETER LIST
algorithm..................................................................................................P820
antenna ..................................................................................................P004
confidence threshold ............................................................................ P804
echo confidence .................................................................................... P805
echo strength.......................................................................................... P806
empty........................................................................................................ P006
fail-safe material level ...........................................................................P071
lock............................................................................................................P000
long shot number* ................................................................................. P841
mA output value .................................................................................... P911
mA range ................................................................................................. P200
master reset ............................................................................................P999
material .................................................................................................... P002
measurement response....................................................................... P003
memory.................................................................................................... P901
near blanking .......................................................................................... P800
offset correction...................................................................................... P652
operation.................................................................................................. P001
range extension..................................................................................... P801
run time ....................................................................................................P341
software revision ....................................................................................P900
span ..........................................................................................................P007
TVT type ..................................................................................................P830
units ..........................................................................................................P005
* accessible in Dolphin only.
APPENDICES _
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PROGRAMMING CHART
PARAMETER # NAME VALUE P001 Operation P002 Material P003 Measurement Response P004 Antenna P005 Units P006 Empty P007 Span P070 Fail-Safe Timer P071 Fail-Safe Material Level P200 mA Range P652 Offset Correction P800 Near Blanking P801 Range Extension P804 Confidence Threshold P820 Algorithm P830 TVT Type P841 Long-Shot Number
APPENDICES
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