yokogawa corporation of america ©copyright 2006 yokogawa corporation of america all rights reserved...

Yokogawa Corporation of America

©Copyright 2006 Yokogawa Corporation of America All Rights Reserved

DXAdvanced MathTraining

Page.2Yokogawa Corporation of AmericaAll Rights Reserved.

This discussion will be based on the DXAdvanced Math Functions.

Step by step examples of how to setup the TLOG.SUM statement will featured.

The main goal for this class is to become familiar with the /M1, math feature, of the DXA.

It is expected that all attendee’s have already programmed or at least understand how to enter the

Parameter sections of the DXAdvanced recorder products.

Upon completion of this presentation, all attendee's will be able to configure the most common math question. How do I setup a totalizer channel ?

What to expect from this training class ?


Math Statements may contain the measured data (input channels), computed data (other math channels)Constants (K01-K30), Communication data (C01-C30), or Remote terminal conditions (D01-D08). Each Math channel can accept up to 120 characters.

The maximum number that can be displayed is 99,999,999 with NO DECIMAL PLACES selected. If this is exceeded a +***** will be shown and the Math will have to be stopped and reset.

The result of the computation can be displayed and stored.

Computation is performed based on the scan interval.

What can I put into a math channel?


DXA - Math Channel Numbers

Math channels for DAQStations are assign as 101 and above

DX1002 – Channel 101 to 112 (12 channels)DX1004 – Channel 101 to 112 (12 channels)DX1006 – Channel 101 to 124 (24 channels)DX1012 – Channel 101 to 124 (24 channels)

DX2004 – Channel 101 to 112 (12 channels)DX2008 – Channel 101 to 112 (12 channels)

DX2010 – Channel 101 to 160 (60 channels)DX2020 – Channel 101 to 160 (60 channels)DX2030 – Channel 101 to 160 (60 channels)DX2040 – Channel 101 to 160 (60 channels)DX2048 – Channel 101 to 160 (60 channels)


Overview of Math Functions

Numbers entered in the Math Statements are treated as channel numbers.

To use a number other then a channel number a Constant must be used. These are K01 to K60 in the DXAdvanced.

These are set up as follows: K01 = 1, K02 = 45.38, etc. If you enter 001 into a math statement the result will be channel 001

There are four arithmetical operations Addition (+), subtraction (–), multiplication (*), and division (/)

SQR Determines the square root.ABS Determines the absolute value.LOG Determines the common logarithm. y = log10xEXP Determines the exponent. y = ex

Relational computation Determines <, ≤, >, ≥, =, ≠ of two elements and outputs “0”or “1.”

Logical computation Determines the AND (logical product), OR (logical sum),XOR (exclusive logical sum) of two elements, NOT (negation) of an element and outputs “0” or “1.”

Statistical computation (TLOG) with SUM, MAX, MIN, AVE, and (P–P) values at specified timeintervals over the time interval. There are three timers used to set the time interval.


Four arithmetical computations

Now lets do some math

We want to Add, Subtract, Multiply, and Divide channel 001 with channel 002

and show the result in math channel 101.

Set channel 101 = 001+002Computes the measured value of channel 1 plus the measured value of

channel 2

Set channel 101 = 001-002Computes the measured value of channel 1 minus the measured value

of channel 2

Set channel 101 = 001*K01Computes the measured value of channel 1 multiplied by constant K01

Set channel 101 = 001/K01Computes the measured value of channel 1 divided by constant K01


Power, SQR, ABS, LOG, EXP Computations

Power (**): 001**002Raises measured value of channel 1 to the power of measured value of channel

2

Square root (SQR): SQR (001)Returns the square root of the measured value of channel 1

Absolute value (ABS): ABS (001)Returns the absolute value of the measured value of channel 1

Logarithm (LOG): LOG (001)Returns the common logarithm of the measured value of channel 1

Exponent (EXP): EXP (001)Raises e to the power of the measured value of channel 1

Note:The natural logarithm is not directly provided, but can be obtained by using the following:logex = log10x/log10e as logbx = logax/logab

Therefore, to calculate the natural logarithm of the value of channel 01, set K01 = 1.Then the expression will become: LOG (001)/LOG (EXP(K01))


Relational Computation <, ≤, >, ≥, =, ≠

001.LT.002The computed result will be “1” if the measured value of channel 1 is less than the

measured value in channel 2, otherwise the value will be “0.”

001.GT.002The computed result will be “1” if the measured value of channel 1 is greater than the


001.EQ.002The computed result will be “1” if the measured value of channel 1 is equal to the


001.NE.002The computed result will be “1” if the measured value of channel 1 is not equal to the


001.GE.002The computed result will be “1” if the measured value of channel 1 is greater than or

equal to the measured value in channel 2, otherwise the value will be “0.”

001.LE.002The computed result will be “1” if the measured value of channel 1 is less than or equal

to the measured value in channel 2, otherwise the value will be “0.”


Logical Computation AND, OR, XOR, NOT

001.AND.002If both 01 and 02 are a non “0” value then the operation results in “1”, otherwise in

“0.”

001.OR.002If both 01 and 02 are “0” value then the operation results in “1”, otherwise in “0.”

001.XOR.002If both 01 and 02 are different values then the operation results in “1”, otherwise in

“0.”

NOT001Reverses the Logic of the value. If 01 is a “1” then the output is “0”


TLOG Computation (MAX, MIN, AVE, SUM, MAX–MIN)

TLOG.MAX (001 )Computes the maximum value of channel 001 over the time specified by the Timer No.

assigned

TLOG.MIN (001 )Computes the minimum value of channel 001 over the time specified by the Timer No.

assigned

TLOG.AVE (001 )Computes the average value of channel 001 over the time specified by the Timer No.

assigned

TLOG.SUM (001 )Computes the summation of channel 001 over the time specified by the Timer No.

assigned

TLOG.P-P (001 )Computes the maximum value – minimum value of channel 001 over the time specified

by the Timer No. assigned

NOTE: Only measured data and computed data can be used in the TLOG computation.


CLOG Computation (MAX, MIN, AVE, SUM, MAX–MIN)

CLOG.MAX (001.002)Computes the maximum value of channel 001 and 002 over the time specified by the Timer No. assigned

CLOG.MIN (001.002.005)Computes the minimum value of channel 001, 002, and 005 over the time specified by the Timer No.

assigned

CLOG.AVE (001-010)Computes the average value of channel 001 through 010 over the time specified by the Timer No.

assigned

CLOG.SUM (001.002)Computes the summation of channel 001 and 002 over the time specified by the Timer No. assigned

CLOG.P-P (001-030)Computes the maximum value – minimum value of channel 001 through 030 over the time specified by

the Timer No. assigned

NOTE: Only measured data and computed data can be used in the CLOG computation.


DXA Math – what's new?

I01~I36 These are the status of the alarm output relays

F01~F08Flag status. Assign in the Event Actions

Special Computations

PRE() This determines the previous value of the channel in the ()

HOLD(a):b When a=0, the formula b is carries out. If (a) is not zero then the value of b is held.

RESET(a):bWhen a=0, the formula b is carries out. If (a) is not zero then the value of b is Reset.

CARRY(a):bOnly TLOG.SUM can be specified for bIf the computed value of b is less than (a) the result is the computed value of b.When b is greater than or equal to a the result is b-(a)


DXA Math – If Then Else

Conditional Expression[a?b:c]

[001.GT.K01?002:003]

If the measured value of channel 1 is greater than constant K01, the computed result is the measured value of channel 2. Otherwise, the computed result is the measured value of channel 3.


DXA Math – /PM1 option

/PM1 options – Used only when special pulse input option is present

P01~P08Counts the number of pulses per scan interval

Q01~Q08Counts the number of pulses per second


DXA - setting up a TLOG.SUM – Step 1

This is an example of how to setup a TLOG.SUM for the DXAdvanced.

Math channel 101 is set as TLOG.SUM(001)

In the above example, the sum of input channel #1, which is a BTU per Hour rate is selected.

The Span Lower and Upper can be set but is only important if a Trend of this channel on the display is required. The number of decimal points can also be selected.

The Maximum number is 99,999,999.

Press MENU key

Select Math channel

Calculation expression

Press MENU key

Select Math channel




Selection of the Timer No. and Sum Scale is required to complete the TLOG.SUM statement.

Math channel 101 will be assigned to Timer No.1.

The Sum scale will equal “/h” based on the rate of input Channel #1 being a BTU/HR rate.

The RESET is ON/OFF based on what to do when Timer No. is up.

Press MENU key

Select Math channel

TLOG, Rolling average

Press MENU key

Select Math channel

TLOG, Rolling average



The selections for Mode are Absolute or Relative.

Absolute means based on the whole hour. 1h would be from 10:00 to 11:00 exactly.

Relative is based on the Start time. If “1h” is selected but it is 10:13 then it will be from 10:13 to 11:13 and so on.

Press MENU key

Select Timer, Event action

Timer

Press MENU key


Timer


DXA - TLOG.SUM – Roll over

The TLOG.SUM will again totalize up to the 99,999,999 number and go to +******.

To eliminate that problem the RESET(a):b feature can be used.

The above TLOG.SUM will count up to the value set in K01 then reset back to “0”, effectively rolling over

Press MENU key

Select Math channel


Press MENU key

Select Math channel



DXA - TLOG.SUM – Carry over

The TLOG.SUM will again totalize up to the 99,999,999 number and go to +******.

To eliminate that problem the CARRY(a):b feature can be used.

The above TLOG.SUM will count up to the value set in K01 then reset back to “0”, effectively rolling over

Press MENU key

Select Math channel


Press MENU key

Select Math channel


This is a better choice then the RESET

because any value over the Carry value is

added after the reset.

This is a better choice then the RESET

because any value over the Carry value is

added after the reset.


DXA - setting up a “Monthly” TLOG.SUM – Step 1

Set channel 102 to F01. This will be used in a later step.

Press MENU key

Select Math channel


Select channel 102

Press MENU key

Select Math channel


Select channel 102



Math channel 103 is set as RESET(102.NE.PRE(102)):TLOG.SUM(001)

In the above example, the sum of input channel #1, which is a Gallons per Minute rate is selected.

The Span Lower and Upper can be set but is only important if a Trend of this channel on the display is required. The number of decimal points can also be selected.

The Maximum number is 99,999,999.

Press MENU key

Select Math channel


Channel 103

Press MENU key

Select Math channel


Channel 103



Select Month, Day 1, 0:00 for midnight and Repeat.This will cause this Match Timer #1 to change state every month @ midnight on the first

day.

Press MENU key


Match Time Timer

Press MENU key


Match Time Timer



This will cause the Match Timer to cycle the F01 flag every month causing the Totalizer to reset.

Press MENU key


Event Action

Press MENU key


Event Action


DXAdvanced Math

THEEND

yokogawa corporation of america ©copyright 2006 yokogawa corporation of america all rights reserved...

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