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==Calculating Wire Sizes==
==Calculating Wire Sizes==
'''Assumptions made:'''         
'''Assumptions made:'''         
# copper wire resistivity = 11.2  
# copper wire resistivity = 11.2 [http://www.paigewire.com/(X(1)S(hdg54q50rhz3cwbdebunzmyn))/pumpWireCalc.aspx?AspxAutoDetectCookieSupport=1]
# 3% loss from wires
# 3% loss from wires
# allowable voltage drop = 0.36V  
# allowable voltage drop = 0.36V  
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'''Variable Declarations:'''
'''Variable Declarations:'''


-''A<sub>n</sub>:'' circular mil area
-''A<sub>n</sub>'': circular mil area
-''n'': AWG
-''n'': AWG
Line 60: Line 60:
  |pics=  
  |pics=  
  |size=  
  |size=  
  |File:1 wireloss.png|Caption |1 |The equation to the left (Eqn. 1) was used, rearranged, and iterated on to produce the above table.  
  |File:1 wireloss.png|Caption |1 |The equation to the left (Eqn. 1) was used, rearranged, and iterated on to produce the above table [https://en.wikipedia.org/wiki/Circular_mil].  
  |File:2 wireloss.png|Caption |2 |Algebraically rearrange Eqn. 1 to solve for n. The resulting equation is Eqn. 2 to the left.
  |File:2 wireloss.png|Caption |2 |Algebraically rearrange Eqn. 1 to solve for n. The resulting equation is Eqn. 2 to the left.
  |File:6 wireloss.png|Caption |3 |If n<0, replace n with 1-m in Eqn. 1 .
  |File:6 wireloss.png|Caption |3 |If n<0, replace n with 1-m in Eqn. 1 [https://en.wikipedia.org/wiki/Circular_mil] .
  |File:5 wireloss.png|Caption |4 |Substituting n=1-m into Eqn. 1 yields this equation (Eqn. 3). Use Eqn. 3 if n<0.  
  |File:5 wireloss.png|Caption |4 |Substituting n=1-m into Eqn. 1 yields this equation (Eqn. 3). Use Eqn. 3 if n<0.  
  |File:3 wireloss.png|Caption |5 |Solve Eqn. 3 for m, the resulting equation (Eqn. 4) is to the left.
  |File:3 wireloss.png|Caption |5 |Solve Eqn. 3 for m, the resulting equation (Eqn. 4) is to the left.

Revision as of 19:39, 18 January 2020

Introduction

Describe wire length, voltage loss, etc. here.

Tables

The following table shows the American Wire Gauge (AWG) size for several different round trip (RT) wire lengths based on maximum current (A) for a 12V DC system (assuming 3% maximum wire loss):

RT length 5A 10A 15A 20A 25A 30A 40A 50A
15 ft 16 12 10 10 8 8 6 6
20 ft 14 12 10 8 8 6 6 4
25 ft 14 10 8 8 6 6 4 4
30 ft 12 10 8 6 6 4 4 2
40 ft 12 8 6 6 4 4 2 2
50 ft 10 8 6 4 4 2 2 1
60 ft 10 6 4 4 2 2 1 1/0
70 ft 8 6 4 2 2 2 1/0 2/0
80 ft 8 6 4 2 2 1 1/0 2/0
90 ft 8 4 2 2 1 1/0 2/0 3/0

This table was adapted from https://www.engineeringtoolbox.com/amps-wire-gauge-d_730.html .

Calculating Wire Sizes

Assumptions made:

  1. copper wire resistivity = 11.2 [1]
  2. 3% loss from wires
  3. allowable voltage drop = 0.36V
    • 12V system, 3% (0.03) wire loss -> 12V x 0.03 = 0.36V

Variable Declarations:

-An: circular mil area

-n: AWG

-m: AWG

-Conductor resistivity: constant, 11.2

-Current: current through wire in Amps, acquired from table

-Roundtrip (RT) wire length: complete length of wire, ft, acquired from table

-Allowable voltage drop: voltage drop through wires, V

File:1 wireloss.png
Calculating Wire Sizes


See Help:Tables.

Use help:references to see how to use the reference format.[1]

Use Help:Images on how to upload the graph image(s). Please remember to use a very descriptive name for the file.

References

Template:Reflist

  1. It is quite easy and just relies on ref and /ref in between less than and greater than symbols.
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