By Allen Houtz1 and Doug Cooper
The ratio control architecture is used to maintain the flow rate of one
stream in a process at a defined or specified proportion relative to that of
another. A common application for ratio control is to combine or blend two feed
streams to produce a mixed flow with a desired composition or physical property.
Consistent with other articles in this e-book, applications of interest are
processes with streams comprised of gases, liquids, powders, slurries or melts.
The conceptual diagram below (click for a large view)
shows that the flow rate of one of the streams feeding the mixed flow,
designated as the
wild feed, can change freely. Its flow rate might change based
on product demand, maintenance limitations, feedstock variations, energy
availability, the actions of another controller in the plant, or it may
simply be that this is the stream we are least willing to manipulate during
normal operation.
The other stream shown feeding the mixed flow is designated as the controlled feed. A
final control element (FCE) in the controlled feed stream
receives and reacts to the controller output signal, COc, from the ratio
control architecture. While the conceptual diagrams in this article show a
valve as the FCE, we note that other flow manipulation devices such as variable speed pumps
or compressors may also be used in ratio control implementations.

Relays in the Ratio Architecture
As the above diagram illustrates, we measure the flow rate of the wild
feed and pass the signal to a relay, designated as RY in the diagram. The
relay is typically one of two types:
▪ A ratio relay, where the mix ratio is entered once
and is generally
not available to operations staff during normal operation.
▪ A multiplying relay, where the mix ratio is presented as an adjustable
parameter on the operations display and is thus more readily accessible for
change.
In either case, the relay multiplies the measured flow rate of the wild feed stream, PVw,
by the entered mix ratio to arrive at a desired or set point value, SPc, for
the controlled feed stream. A flow controller then regulates the controlled
feed flow rate to this SPc, resulting in a mixed flow stream of specified
proportions between the controlled and wild streams.
Linear Flow Signals Required
A ratio controller architecture as described above requires that the
signal from each flow sensor/transmitter change linearly with flow rate.
Thus, the signals from the wild stream process
variable, PVw, and the controlled stream process variable, PVc, should
increase and decrease in a straight-line fashion as the individual flow
rates increase and decrease.
Turbine flow meters and certain other sensors can provide a
signal that changes linearly with flow rate. Unfortunately, a host of
popular flow sensors, including inferential head flow elements such as
orifice meters, do not. Additional computations (function blocks) must then
be included between the sensor and the ratio relay to transform the nonlinear
signal into the required linear flow-to-signal relationship.
Flow Fraction (Ratio) Controller
A classic example of ratio control is
the blending of an additive into a process stream. As shown below (click for a large view), an octane booster
is blended with straight-run
gasoline stream being produced by an atmospheric distillation column. For
any number of reasons, the production rate of straight-run gasoline will
vary
over time in a refinery. Therefore, the amount of octane booster required to
produce the desired octane rating in the mixed product flow must also
vary in a coordinated fashion.

Rather than using a relay, we present an alternative ratio control architecture
based on a flow fraction
controller (FFC). The FFC is essentially a "pure" ratio controller in that
it receives the wild feed and controlled feed signals
directly as inputs. A ratio set point value is entered into the FCC, along with tuning parameters and other values required for any controller
implementation.
Ratio Relay or Flow Fraction Controller
The flow fraction (ratio) controller is a preconfigured option in many
modern computer based
DCS or advanced
PLC
control systems. It provides exactly the same functionality as the ratio
relay combined with a single-input single-output controller as discussed
above.
The choice of using a relay or an FFC is a
practical matter. The value of the ratio multiplier in a relay
is not
a readily accessible parameter. It therefore requires a greater level of
permission and access to adjust. Consequently, the use of the ratio relay has the
advantage (or disadvantage depending on the application) of requiring a higher
level of authorization before a change can be made to the ratio multiplier.
Multiplying Relay With Remote Input
The ratio controller shown below (click for a large view)
presents an additional level of complexity in that, like the
cascade architecture, our ratio controller
is contained within and is thus part of a larger control strategy.
In the example below, an analyzer sensor
measures the composition or property we seek to maintain in the mixed flow
stream. The measured value is compared to a set point value, SPA,
and a mix ratio controller output signal, COA,
is generated based on the difference. Thus, like a cascade, the outer analyzer
controller continually sends mix ratio updates to the inner ratio control
architecture.
.
The term "analyzer" is used broadly here. Hopefully, we can
indentify a fast,
inexpensive and reliable sensor that allows us to infer the mixed
flow composition or property of interest. Examples might include a capacitance probe, an
in-line viscometer, or a pH meter.
If we are required to use a chromatograph, spectrometer or other such
instrument, we must allow for the increased maintenance and attention such
devices often demand. Perhaps more important, the time to complete a sample and
analysis cycle for these devices can introduce a long dead time into our
feedback loop. As
dead time increases, best attainable control
performance decreases.
Return to the
Table of Contents to learn more.
____
1. Allen D. Houtz
Consulting Engineer
Automation Systems Group
P.O. Box 884
Kenai, AK 99611
Email: ifadh@uaa.alaska.edu
Copyright © 2007 by Douglas J. Cooper. All Rights Reserved.