PDHonline Course E275 (3 PDH) AWG and Circular Mils Instructor: David A. Snyder, PE 2012 PDH Online | PDH Center 5272 Meadow Estates Drive Fairfax, VA 22030-6658 Phone & Fax: 703-988-0088 www.PDHonline.org www.PDHcenter.com An Approved Continuing Education Provider TABLE 1 - Bus Bar Choices Thickness (in.) 0.375 0.375 0.375 0.375 0.375 0.375 0.375 0.375 0.375 0.375 0.375 0.375 0.375 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 0.75 Printed 1/21/2009 1:30 PM Width (in.) Area 2 (in ) Calc'd Area (Circular Mils) Nominal Area (KCMIL) 0.75 1 1.5 2 2.5 3 3.5 4 5 6 8 10 12 1 1.5 2 2.5 3 3.5 4 5 6 8 10 12 2 2.5 3 4 5 6 8 10 12 0.281 0.375 0.563 0.750 0.938 1.125 1.313 1.500 1.875 2.250 3.000 3.750 4.500 0.500 0.750 1.000 1.250 1.500 1.750 2.000 2.500 3.000 4.000 5.000 6.000 1.500 1.875 2.250 3.000 3.750 4.500 6.000 7.500 9.000 358,280 477,707 716,561 955,414 1,194,268 1,433,121 1,671,975 1,910,828 2,388,535 2,866,242 3,821,656 4,777,070 5,732,484 636,943 955,414 1,273,885 1,592,357 1,910,828 2,229,299 2,547,771 3,184,713 3,821,656 5,095,541 6,369,427 7,643,312 1,910,828 2,388,535 2,866,242 3,821,656 4,777,070 5,732,484 7,643,312 9,554,140 11,464,968 358 477 715 955 1,190 1,430 1,670 1,910 2,390 2,860 3,820 4,770 5,730 637 955 1,270 1,590 1,910 2,230 2,550 3,180 3,820 5,090 6,360 7,640 1,910 2,390 2,860 3,820 4,770 5,730 7,640 9,550 11,500 Tables.xls : Table 1 Page 1 of 10 TABLE 2 - Wire Gage, Mils, Circular Mils, and Strand Quantities AWG (American Wire Gage) 1,000 KCMIL 900 KCMIL 800 KCMIL 750 KCMIL 700 KCMIL 600 KCMIL 500 KCMIL 400 KCMIL 350 KCMIL 300 KCMIL 250 KCMIL 4/0 or 0000 3/0 or 000 2/0 or 00 1/0 or 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 Solid Wire Diameter (Mils) 1,000.0 948.7 894.4 866.0 836.7 774.6 707.1 632.5 591.6 547.7 500.0 460.0 409.6 364.8 324.9 289.3 257.6 229.4 204.3 181.9 162.0 144.3 128.5 114.4 101.9 90.7 80.8 72.0 64.1 57.1 50.8 45.3 40.3 35.9 32.0 28.5 25.3 22.6 20.1 17.9 15.9 14.2 12.6 11.3 10.0 8.9 8.0 7.1 6.3 5.6 5.0 4.5 4.0 3.5 3.1 Printed 1/21/2009 1:30 PM Calculated Area (C.M.) 1,000,000.0 900,031.7 799,951.4 749,956.0 700,066.9 600,005.2 499,990.4 400,056.3 349,990.6 299,975.3 250,000.0 211,600.0 167,772.2 133,079.0 105,560.0 83,694.5 66,357.8 52,624.4 41,738.5 33,087.6 26,244.0 20,822.5 16,512.3 13,087.4 10,383.6 8,226.5 6,528.6 5,184.0 4,108.8 3,260.4 2,580.6 2,052.1 1,624.1 1,288.8 1,024.0 812.3 640.1 510.8 404.0 320.4 252.8 201.6 158.8 127.7 100.0 79.2 64.0 50.4 39.7 31.4 25.0 20.3 16.0 12.3 9.6 Nominal Area Strand NEC Table 8 Qty (May Diam./ Strand Area/ Strand (C.M.) Vary) (Mils) (C.M.) 1,000,000 61 128.0 16,384.0 900,000 61 121.5 14,762.3 800,000 61 114.5 13,110.3 750,000 61 110.9 12,298.8 700,000 61 107.1 11,470.4 600,000 61 99.2 9,840.6 500,000 37 116.2 13,502.4 400,000 37 104.0 10,816.0 350,000 37 97.3 9,467.3 300,000 37 90.0 8,100.0 250,000 37 82.2 6,756.8 211,600 19 105.5 11,130.3 167,800 19 94.0 8,836.0 133,100 19 83.7 7,005.7 105,600 19 74.5 5,550.3 83,690 19 66.4 4,409.0 66,360 7 97.4 9,486.8 52,620 7 86.7 7,516.9 41,740 7 77.2 5,959.8 N.A. 7 68.8 4,733.4 26,240 7 61.2 3,745.4 N.A. 7 54.5 2,970.3 16,510 7 48.6 2,362.0 N.A. 7 43.2 1,866.2 10,380 7 38.5 1,482.3 N.A. 7 34.3 1,175.4 6,530 7 30.5 930.3 N.A. 7 27.2 737.7 4,110 7 24.2 585.6 N.A. 7 21.6 464.4 2,580 7 19.2 368.6 N.A. 7 17.1 292.3 1,620 7 15.2 231.0 N.A. 7 13.5 183.2 N.A. 7 12.1 146.4 N.A. 7 10.8 116.1 N.A. 7 9.6 92.1 N.A. 7 8.5 73.0 N.A. 7 7.6 57.9 N.A. 7 6.8 45.9 N.A. 7 6.0 36.4 N.A. 7 5.4 28.9 N.A. 7 4.8 22.9 N.A. 7 4.3 18.2 N.A. 7 3.8 14.4 N.A. 7 3.4 11.4 N.A. 7 3.0 9.1 N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. Page 2 of 10 Total Area of Strands (C.M.) 999,424.0 900,497.3 799,725.3 750,227.4 699,695.0 600,279.0 499,590.3 400,192.0 350,289.7 299,700.0 250,003.1 211,474.8 167,884.0 133,108.1 105,454.8 83,770.2 66,407.3 52,618.2 41,718.9 33,134.1 26,218.1 20,791.8 16,533.7 13,063.7 10,375.8 8,227.9 6,511.8 5,163.8 4,099.5 3,250.8 2,580.5 2,046.3 1,617.3 1,282.5 1,024.9 812.7 644.5 511.1 405.3 321.4 254.8 202.1 160.3 127.1 100.8 79.9 63.4 N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. Tables.xls : Table 2 TABLE 3 - Number of Strands per Layer n = # of 1st Layer 2nd Layer 3rd Layer 4th Layer 5th Layer 6th Layer 7th Layer 8th Layer Total # of Layers on Core Core Only of Strands of Strands of Strands of Strands of Strands of Strands of Strands of Strands Strands* 0 1 2 3 4 5 6 7 8 1 1 1 1 1 1 1 1 1 6 6 6 6 6 6 6 6 12 12 12 12 12 12 12 18 18 18 18 18 18 24 24 24 24 24 30 30 30 30 36 36 36 42 42 48 1 7 19 37 61 91 127 169 217 *The formula for the total number of strands based on the number of layers is [3n * (n +1)] +1 = 3n2 + 3n + 1 where n = # of layers. Printed 1/21/2009 1:30 PM Tables.xls : Table 3 Page 3 of 10 TABLE 4 - Each Strand Is 0.8905 * Next-Larger Strand Stranded Wire Gage 4/0 3/0 2/0 1/0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 Printed 1/21/2009 1:30 PM 19-Strand Diameters 105.5 94.0 83.7 74.5 66.4 7-Strand Diameters 97.4 86.7 77.2 68.8 61.2 54.5 48.6 43.2 38.5 34.3 30.5 27.2 24.2 21.6 19.2 17.1 15.2 13.5 12.1 10.8 9.6 8.5 7.6 6.8 6.0 5.4 4.8 4.3 3.8 3.4 3.0 N.A. N.A. N.A. N.A. N.A. N.A. N.A. N.A. Page 4 of 10 Tables.xls : Table 4 Table 5 - Ratio Between Bare Solid & Stranded Conductors Outside Diam. # of # of Strands Layers 7 19 37 61 91 127 169 217 Printed 1/21/2009 1:30 PM 1 2 3 4 5 6 7 8 Ratio of Stranded / Solid O.D. 1.134 1.147 1.151 1.152 1.153 1.154 1.154 1.154 Tables.xls : Table 5 How They Did It 3/ 5/ 7/ 9/ 11 / 13 / 15 / 17 / 7 19 37 61 91 127 169 217 Page 5 of 10 Table 6 - Depth of Penetration at Various Frequencies Freq. (Hz): 1 50 60 100 1,000 10,000 100,000 1,000,000 Printed 1/21/2009 1:30 PM Depth of Penetration ( ): 0.06609 0.00935 0.00853 0.00661 0.00209 0.00066 0.00021 0.00007 meters meters meters meters meters meters meters meters 66.0855 9.3459 8.5316 6.6085 2.0898 0.6609 0.2090 0.0661 Tables.xls : Table 6 mm mm mm mm mm mm mm mm 2.6018 0.3679 0.3359 0.2602 0.0823 0.0260 0.0082 0.0026 inches inches inches inches inches inches inches inches Page 6 of 10 Table 7 - Sch. 40 Copper Bus Pipe Printed 1/21/2009 1:30 PM 1" Sch. 40 Copper Outer Diameter Wall Thickness Conductive Area: Conductive Area: 1.315 0.127 0.474 603,810.1 inches inches sq. in. cir. mils 2" Sch. 40 Copper Outer Diameter Wall Thickness Conductive Area: Conductive Area: 2.375 0.157 1.094 1,393,610.5 inches inches sq. in. cir. mils 2.5" Sch. 40 Copper Outer Diameter Wall Thickness Conductive Area: Conductive Area: 2.875 0.188 1.587 2,021,648.9 inches inches sq. in. cir. mils 3" Sch. 40 Copper Outer Diameter Wall Thickness Conductive Area: Conductive Area: 3.500 0.219 2.257 2,875,613.8 inches inches sq. in. cir. mils Tables.xls : Table 7 Page 7 of 10 Up 3 Gages 4/0 AWG 1/0 AWG Ratio Area (C.M.) 211,600 105,560 2.005 Printed 1/21/2009 1:30 PM Solid Diam. (mils) 460.0 324.9 1.416 Down 3 Gages 3 AWG 1/0 AWG Ratio Tables.xls : Example 4 Area (C.M.) 52,624 105,560 0.499 Solid Diam. (mils) 229.4 324.9 0.706 Page 8 of 10 Up 6 Gages 4 AWG 10 AWG Ratio Area (C.M.) 41,738 10,384 4.020 Printed 1/21/2009 1:30 PM Solid Diam. (mils) 204.3 101.9 2.005 Down 6 Gages 16 AWG 10 AWG Ratio Tables.xls : Example 5 Area (C.M.) 2,581 10,384 0.249 Solid Diam. (mils) 50.8 101.9 0.499 Page 9 of 10 Up 10 Gages 1/0 AWG 10 AWG Ratio Area (C.M.) 105,560 10,384 10.166 Printed 1/21/2009 1:30 PM Solid Diam. (mils) 324.9 101.9 3.188 Down 10 Gages 20 AWG 10 AWG Ratio Tables.xls : Example 6 Area (C.M.) 1,024 10,384 0.099 Solid Diam. (mils) 32.0 101.9 0.314 Page 10 of 10