Variable Rate Technology (VRT) for Site-Specific
Agriculture
Developed by: Ken
Giles
Reading Assignment:
1. Variable Rate Technologies. In: The Precision Farming Guide for Agriculturists
by Deere & Company, pages 79 to 93.
2. Chapter 12 in NRC – 180 publication
Generalities:
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VRT is the implementation of gathered information and decisions or "the
printer" for site specific agriculture.
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VRT consists of the machines and systems for applying a desired rate of
crop production materials at a specific time (and, by implication,
a specific location).
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Materials:
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Seed
-
Fertilizer
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Pesticides
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By definition, VRT implies that the rate varies, although sometimes
simply maintaining a constant rate is a challenge.
Map versus Sensor:
The text discusses map – versus sensor – based systems. Regardless of
how the desired rates are determined, the VRT system must respond
by applying that desired rate. The application hardware is similar,
often identical in each case. However, there can be some differences in
that map-based systems can "look-ahead" or predict when desired rates may
change. Similarly, some sensor-based systems operate on very small areas
and therefore may require a much faster response time of the VRT system.
Background on Application Rate and Materials
Handling in Agricultural Applications:
By rate, we generally mean:
and is usually expressed as (lb/acre, gal/acre, kg/ha, l/ha)
And typically we consider this as:
Application rate = flow rate of material / rate of land coverage = material
discharge rate / land rate
And note that "land rate" is the product of implement width and
ground
speed.
Land rate = width(length) * speed(length / time)
Width is usually fixed by the machine or vehicle but ground
speed is highly variable and therefore, must be sensed and VRT must
compensate for such changes. This is often a significant challenge, when
desired application rates and ground speeds may be changing quickly and
over a wide range..
Think:
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We often wish to adjust the application rate.
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The application rate is defined as flow rate / land rate.
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So we can rewrite our equation as:
Desired Flow rate = desired application rate * land rate
Desired Flow rate = desired application rate * implement width * ground
speed
Since width is usually fixed (or can be sensed), ground speed is variable
but can be sensed, when we wish to achieve a desired application rate,
we must adjust the flow rate of material.
Therefore, the basic task of a VRT system is to maintain a desired
flow rate of material.
In concept:
Definitions and Considerations:
The desired application rate (usually from the GPS/GIS system or the
sensor, depending on the basis for VRA) is called the setpoint application
rate. From setpoint application rate and the current land rate, the
setpoint
flow rate is determined.
The VRT system attempts to achieve the setpoint flow rate, and correspondingly,
the setpoint application rate. The flow rate at any given time is the actual
or response flow rate which correspondingly determines the actual or
response application rate.
The application rate error is the difference between the setpoint
application rate and the actual application rate. It is almost always nonzero.
Spatial resolution is the smallest area which can receive a distinct
and desired application rate. It is the product of lateral resolution
and longitudinal resolution. Lateral resolution is normal to the
direction of travel. Lateral resolution is simply the width of each individually
controllable element of the application machine. Longitudinal resolution
is the smallest travel distance in which a desired application rate can
be achieved and maintained. It is the product of the travel speed of the
vehicle and the minimum time required for the control system to achieve
and maintain the desired application rate. This minimum time is often called
the response time or dynamic response of the rate control
system. Longitudinal resolution is along the direction of travel.
Principles of the VRT Controller:
The core of the VRT system is the flow rate controller. Everything you
know (or don't know) about control systems, the underlying mathematics,
the principles of dynamic response and error management, common algorithms
and process hardware applies.
Essentially, the flow control system receives the setpoint flow
rate from the application system (likely a GPS / GIS system on-board the
vehicle and then manipulates a number of actuators in an attempt to adjust
the
actual flowrate to match the setpoint. At this point the error
would be zero.
Also, note that anytime the setpoint changes, there is immediately an
error! Likewise for speed or width changes !
There are numerous techniques and strategies to optimally correct errors
in a control system. These relate to how actuators are adjusted. Some systems
compensate the control "action" for the magnitude of the error, historical
trend of the error and acceptable error range (deadband). These actions
directly relate to dynamic response of the system to setpoint changes.
These also relate to system stability.
As discussed in the NCR-180 publications (Figs. 12-2 and 12-3), there
are two general types of control systems, open-loop and closed-loop. The
open-loop system does not use any sensors to determine feedback information.
The actual rate is inferred from actuator settings. This is roughly equivalent
to driving a car with no speedometer and attempting to control speed by
your foot position on the throttle. You have no speed feedback (the speedometer)
and you don't know how to compensate for wind, vehicle loading or slope.
This approach is cheap but not adequate for process control.
With closed-loop control, the feedback is used to correct actual rate.
In the case of liquid application, a flowmeter (discussed later) is generally
used for feedback.
The collection of feedback data, the analysis of that data, the method
of making changes in the actuator and the actuator characteristics all
determine the system response. For example, consider the following plot
of a system response to a setpoint change:
It takes time for the system to adjust the actual flow rate to match
the setpoint (zero error). The difference, or error can be calculated as
the difference between actual and set point values and displayed similarly:
The dynamics of the control system determine if a system might have
the following problem where it is less stable (or "overshoots" the actual
rate):
Or, if we have a brief speed variation, (remember this changes the flow
rate setpoint), consider how a stable and unstable system might respond.
How do you think the second system might respond to routine set point changes
?
The nuts and bolts and why controllers are
not perfect - or even close
Why do controllers take so long to respond and what limits our dynamic
response (and consequently, spatial resolution ) ?
First consider the flow meter. The most common type is a turbine, digital
meter. An internal turbine is driven by fluid in motion. Each blade of
the turbine actuates (either magnetically or optically) an electronic circuit
which produces a pulse. The flow rate (pulses per unit time) is directly
related to the flow rate while the time between pulses is inversely related
to flow rate.
So the sensing problem becomes:
Accumulating counts for a fixed time period (delays data) or measuring
time between pulses. In the former, resolution decreases with flow rate
and in the later decreases with higher flow rate.
Note that this digital technique is also used for determine motor and
pump speeds, wheel rotation speeds, belt and shaft speed in general.
Once this data is collected, the computer must decide what to do and
then send a signal to an actuator which will then respond, some
times slowly, to that command. Delays, delays, delays !
Variable Rate Application Spray System:
Dr. Ken Giles from the University of California - Davis has designed
, built and evaluated a map based system for variable rate application
of liquid chemicals.
The system uses sensors, actuators, microcontrollers and GPS/navigation
to control the application rate. Each spray has a solenoid (pulse-width
actuator) attached to it. The frequency which the solenoids are turned
on/off defines the application rate. A closed-loop sytem uses the information
from pressure and flowrate sensors to adjust the actual application to
the desired value (set point).
Click here for
a slide presentation of the system.
Commercially Available Products:
Information on a variety of VRT components is available on the following
sites:
TeeJet® at : http://teejet.com/products/prod.htm
Hardi International at :
http://www.hardi-international.com/Product_and_Solutions/default.htm
Raven Industries, Inc. at: http://ravenind.com/Flow_Control/fc_products/ams198.htm
Midwest Technologies, Inc Mid-Tech at: http://www.mid-tech.com/
Micro-Trak® Systems, Inc. at : http://www.micro-trak.com/
Dickey-John Corporation at:
http://www.dickey-john.com/Ag_Products/Ag_Products.htm
Capstan Ag Systems, Inc. at: http://www.capstanag.com/
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