Portable Radio Ops Using Batteries
With the Sun as an Energy Source!
K5PA Discusses Using the Excel Spread Sheet Model BattOpTime.xls
One of the neat aspects of ham radio 
operations is going out into the field and operating using different energy 
sources.  I have been interested in battery operations from the field using QRP (5 W or less) RF 
output power.  At these power levels, a small battery, such as 7 Amp-Hours, 
can supply enough energy to make many, many contacts in the field.  What 
happens if you want to work longer than the energy source allows?  Well, 
this is where alternate energy sources can be applied.
Photo Voltaic, or PV for short, are solar 
cells normally mounted in an array to develop enough voltage and current to add 
charge into a battery power source.  The larger the PV array, the higher 
the charging capability.
There are trade-offs between cost of energy 
from different sources.  Question, is it cheaper to add additional 
batteries or to use larger solar cell arrays?
Another problem arises when additional RF 
output power is desirable to establish communications.  In other words, 
when QRP ops is just not enough, how much more battery power and/or PV arrays 
are needed to offset the increase in RF power?
I have performed an analysis of what 
parameters need to be assessed to make decisions on battery capacity (in 
Amp-Hours), solar cell array sizing, RF power output, and many more factors.  
What started out to be a simple Excel sheet to perform these calculations (like 
back of the envelope estimates) turned into a pretty nice spread sheet to help 
manage all the factors.  The filename is ' BattOpTime.xls .' A link 
is given below for downloading from this web site. 
(Please read and agree to the license agreement 
below and included in the spread sheet prior to use of this model)
In the screen capture below, I show the panel 
that is used for data entry and the resulting calculations.  I used a 
horizontal dotted red-line to indicate a 24 hour operating period.  Other 
time periods can also be used just by using the vertical axis to find you 
operating time.  Based on all the parameters in the spread sheet, a graph 
is produced giving operating time versus battery capacity (Amp-Hours).

To download Excel spreadsheet, 
click here 
 BattOpTime.xls  
(approximately 43 kB).
BattOpTime.xls  
(approximately 43 kB).  
With your mouse, right click 
for Windows to 'Save 
Target As'  to 
disk.  Left click if you want to load and run the program from your 
browser.
Definitions of Entries (manually enter data only in white 
cells please)
Battery A-Hr Rating Start Point. The graph above has an x-axis that starts at a 
certain A-Hr battery rating.  Input the starting point for your battery in 
this cell.  For example, if you have a 7 A-Hr battery then you would enter 
anything less than or equal to 7 in order for  the graph to include your battery's capacity.  
The graph is then incremented automatically in 25 A-Hr steps.
 
Solar Charge Rate A-Hr.  If you are using a solar cell array to charge 
your battery, then enter the maximum number of Amps that is available for your 
array.  If you do not have a solar battery charging capability, enter zero 
(0).  The value of zero will change the text in the bright yellow square to 
indicate if solar power is used or not used.
 
Hours of Sun Availability.  The amount of energy available from a solar 
array depends on the amount of daylight.  Put in your estimate here.  
For example, if you expect full sunlight from 8 AM to 6 PM, then enter 10 hours.  You 
can also estimate that if your skies are partly cloudy, then a proportionally lower 
number of sunlight hours are available.  The current model is pretty simple in this area.  
It is an area that will be enhanced if enough interest if given.
 
Rx 
Current.  Radios require a certain amount of DC current during operations.  
You can measure you nominal receive current or take it from your equipment's 
specifications listed in the manual.  Note that at high audio output, the 
receiver current increases.  If you use a fairly medium to low volume, then 
the current is less.  In this model, the receiver current is expected to be continuous during 
radio operation.
 
Transmit Minutes Per Hour.  The amount of transmit time in a one hour 
period is entered in this cell.  If the radio is not transmitting, it is 
assumed to be receiving.  Thus, this transmit time is used to calculate 
transmit duty cycle.  During contests, the duty cycle is likely higher than 
during regular  tuning, listening, and transmitting times.  An entry of 20 minutes per 
hour is calculated as a transmit duty cycle of 33.3% (20 minutes divided by 60 
minutes). For digital modes, the transmit times are a fraction of the total time 
listening. For example, FT8 has a transmit time of 12.64 seconds for every 30 
seconds of a Tx+Rx cycle (12.64/30 = 42% Tx time over an hour is 25.2 minutes) whereas FT4 has a 5.04 seconds 
transmitting over a 15 second cycle (5.04/15 = 34% over an hour is 20.4 minutes). So these would be the 
upper extremes transmit minutes per hour for FT8 and FT4 modes.. 
 
Discharge Allowable on Battery. Batteries have a certain capacity rated in 
A-Hrs.  For example, a 100 A-Hr (at 100% capacity) battery will completely 
discharge to 0% capacity in 5 hours if 20 Amps per hour is being drawn from the 
battery (simply 5 hrs times 20 A = 100 A-Hrs).  
Lead 
acid, 12 VDC batteries have an open circuit voltage equal to the following:  
100% capacity > 12.68 Volts; 75% capacity = 12.44 volts; 50% capacity = 12.23 
volts; 25% capacity = 12.02 volts; and 0% capacity equals 11.8 volts.  To 
lengthen the number of charge cycles for a battery, the discharge should be kept 
to around 50%.  You can increase this, say to 75% as long as it is on an 
irregular basis.  Otherwise, the battery's useful life time will suffer. 
 
Gel 
Electrolyte, 12 VDC batteries have a different open circuit voltage from 
lead acid.  Their voltage and capacity are: 100% capacity > 12.95 Volts; 
75% capacity = 12.71 volts; 50% capacity = 12.50 volts; 25% capacity = 12.29 
volts; and 0% capacity equals 12.07 volts.
Tx 
Current at Max. Output Power. The transmitter has a maximum current rating 
when the maximum output RF power is generated.  The radio's specification 
sheet (see manual) normally gives this number. Typically, a 100W RF output 
transmitter requires about 20 A of DC current.
 
Max. RF Power Capable. Enter the maximum RF power capability for the radio 
that coincides with the maximum DC amperage above.
 
Desired RF Output Power.  Most radio provide a means to decrease the RF 
output power.  This is useful for decreasing DC current requirements which  
then lengthens the time a battery can be used.  This model assumes a linear 
relationship between maximum RF output power at maximum DC current with a lower 
bounds at the transmitter's quiescent current (transmit mode stand by current 
when no modulation is present).  The value of the quiescent current is 
entered as listed below.
 
Tx 
Mode Peak-to-Average Ratio.  Different modes of operation have 
different peak power to average power ratings.  This is important since 
operating with voice SSB requires a different average DC current than a digital 
mode such as PSK31.  A good assumption with SSB operations without speech 
compression, the peak to average is about 3:1, entered as 3.  For Morse 
code,  CW 
operations, the peak to average can be entered as 2.  For PSK31, enter a 
value of 1.  These are not rigorous values and certainly open to 
interpretation.  If speech compression is being used, the peak to average 
ratio is increased.  I suggest  a value of 1.3.
 
Quiescent Tx Current. This is the nominal current the transmitter draws from 
the battery when no modulation is applied.  This becomes the lower bounds 
for the transmit current consumption.  The value may be found in the 
radio's specification sheet in the manual.  The quiescent current is likely 
higher than the receiver current.
 
The figure below shows the effect of using a solar cell array charging of the 
battery.  In this example, the solar cell array is listed as having 2.33 
A-Hr of capacity.  This means that in a one hour time period, the solar 
cell array will provide 2.33 Amps into the battery.  The solar cells operating amperage  can be found in the specification sheet.  Notice the bright yellow 
cell indicates the system is being charged from the solar cell source.

To interpret this graph, remember the dotted 
red-line is 24 hours.  So to operate under the conditions given in the 
white data entry cells, you can operate for about 24 hours if you are using a 65 
A-Hr battery capacity.  Compare this to the first graph above.  With
no solar cell array battery charging, the same conditions requires a 
battery capacity of 89 A-Hrs.
So to address an earlier question, is it 
cheaper to add the solar assisted battery charging or just purchase a larger 
battery?  These types of trade-offs can be found by using this model
  One 
important concept to remember however is that, at some point, all batteries require charging  
So you have to have a charging source from  somewhere. 
Why not solar?

BattOpTime.xls Excel Spread Sheet License Agreement
1) This 
MS Excel spread sheet software comes without warranty of any kind. The user 
agrees to bear all risk associated with using the spread sheet software. The 
author shall not be liable for damages of any kind which result from use of this 
software in any manner.
2) This 
Excel spread sheet software may be freely distributed, but only in its original 
form (that is, only as the file BattOpTime.xls, as originally published 
and unmodified). No fee (other than a nominal fee for the cost of media) may be 
charged for this software. This software may not be distributed as part of a 
package of commercial hardware and/or software (for which an other-than-nominal 
fee is charged) without first obtaining permission from the author.
If you do 
not agree with these terms and conditions, you are not authorized to use this 
software and must delete it from your computer.
Please 
contact the author with any questions or comments regarding this software:
Gene 
Hinkle, K5PA
e-mail: 
k5pa@arrl.net
To read 
instructions on the use of the spreadsheet and to download the latest copy, 
visit the author's website at
https://www.k5pa.com/
This 
Excel spread sheet software is protected by the copyright laws of the United 
States of America, F. E. Hinkle K5PA Copyright 2003-2019
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