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44

NOTICES

Disclaimers

The findings in this report are not to be construed as anofficial Department of the Army position, unless so desig-nated by other authorized documents.

The citation cf trade names and names of manufacturers in

this report is not to be construed as official Governmentindorsement or approval of commercial products or servicesreferenced herein.

Disposition

Destroy this report when it is no longer needed. Do not__- /return it to the originator.

WHITE SECTION

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DOUMH CO""O.ATA.- R & I)(Securrity, iCie Illtioi ,f )Irill, ••dy of vtI vtrpct rncf Indexin tm,IoIolftYn muul be er.•t-rd when the ovetall IrpoI t class ilejd

OII IGINATIJG A rTIVITY (Corport'hY 4uUiOI) r2P,.1ORT 24CUPITY CLASSIFICATION

U. S. Army Electronics Commian 1 VFort Monmouth, New Jersey . 07703 ab. OouP

3 NfPOflT TITLE

COMIPUTER AIDED DESIGN OF BRAID PARAMETERS FOR COAXIAL CABLE

4. OICRIPTIVE NOTIr.& (Type of repot t-.d lnclueive datac)

Technical ReportS. AV TIIOIRIMI (•its$ n•im.. aliddle Inlaial, last lnemn)

Jack Spergel

0. RLIPORT OATC 70. TOTAL NO. OF PAGUL S 7. NO or "IF$

Novembor 1.971. 4 _8_"'"

6P. CONTRACT On GflANT NO. Om. ORIGI14ATORIB PI.COFIT NU"IW&.(Si )

b. PROJECT NO. 1 116 62705 A057 Technical Report ECOM-3517

c.Task No. 1 116 62705 AO5704• Ob. OT#1R, nvPORT NOMI (Any ote-.-numb.rs di•, n-ay he .aeIdfllsll rt~oti)

d•Subtask No. L H6 62705 A0570140o010. DISTIIIflUTION STAT.IAENT

Approved for public release; distribution unlimited.

II. SUPPLCMENTARY NOTES 12. SPONSORING MILITARY ACTIVITY

US Anmy Electronics CommandAttn: 2I4SEL-TLi42Fort Monmouth, New Jersey 07703

IS. ABSTIIACT

A computer program was designed to calculate braid parameters for coaxial cablesuch as percent coverage, fill factor, angle, attenuation factor K ). Data isprovided over a range of carriers, picks, ends, strand diameter, a diameter over

the dielectric.

Key words: braid, shield, coaxial, coverage, attenuation, fill factor

I I A I .I )A. 40, . Is

L. ... , , : -,v cs * .PO.% I ,,' ,iI 1403. intle I fu'i i.oi _

"becuily 4I-34gI catlon

COMPTIER AIDED DESIGN OF BRAID PARPANe2ERS FOR COAXIAL CABLE

Jack SpergelElectronics Technology and Devices Iijboratory

U. S. Army Electronics Command

Fort Monmouth, N. J. 07703

INTRODUCTION: Shielding of coaxial cable as where:well as other special multi-conductor cable C = percentage of rea of cable surfacedesigns is becoming increasingly important to covered by b",,idminimize electromagnetic radiation from or into F = fill factor .,ace or weight factor)the cable. Digital data transmission, broad- A = angle of br-,., wire with cable axisband radio frequency circuits, sensitive audio D = diameter o, : cable coreor voice circuits, as well as high intensity d = strand (or v id wire) diametervoltages such as lightning or electromagnetic P = picks per ,chpulse (EMP) have established requirements for C = number of ,- x2iersbetter shielding of cable. For cables whose N = number " --,.s (braid wire) per carrierapplication requires a high degree of flexibility W = weight v' L-aid per unit length(ease of bending and/or long flex life), braided w = weight -f 61':and (braid wire per unitconductors are frequently used in the cable lengthdesign. Kb = braidip.. factor which is used for

attenu i.n calculationsThe cable design engineer who must oCc = attemu nion of copper conductors in

establish the specification for the braid is coaxic. cablefaced with optimizing the design in regard to C = const 't for a given conductor materialits shielding effectiveness, weight and cost, and call. Impedanceattenuation, and its flexibility. In order toprovide the cable engineer with a tool to aid TABULAR DATA: For a specified number ofhim in selecting a design, a computer program carriers, ends per carrier, and picks per inch,(Fortran IV) was developed for the enclosed each table includes the coverage, fill factor,series of tabular data which could be readily angle, and braiding factor as the strand diameterused to determine the physical parameters of and diameter ovwr dielectric is varied. Therethe braid, as well as Information to judge its are forty-five such tables for each combinationpotential flexibility and attenuation character- of 5 carriers (12, 16, 24, 36, 48), 3 picks peristics. inch (3, 0, 15) and 3 ends per carrier (4, 7, 10).

The jzrand diameters range from 0.003 to 0.010CALCULATION' Before discussing the data in inches and the diameter over dielectric rangethe tables, brief review is given of the from O.C50 to 1.000 inches. These values arebraid elements and the formulas used to considered quite practical for most cablecalculate the various parameters. designs and interpolation or approximation can

be easily made for any other combination ofFigure 1 schemtacially illustrates the braid parameters. To provide data for smaller

elements of a braid design on a circular cable intervals within the range of ends and picks wouldcore which could represent the dielectric of a result in an excessive number of tables. (Forcoaxial cable, or a stranded multi-conductor example, if the number of intervals were increasedcore, or a single insulated wire. The formulas from 3 to 5 for the ends and picks, we wouldfor calculating the various braid parameters have 125 tables).are derived from Figure 2 and are given by:

In using the tables, the following qualifica-(1) C = (2F - F2 ) x 100 tions should be noted:(2) F = PNd/sin A(3) A = tan"1 21r(D + 2d) P/C (a) The asterisk indicates that the(4) W = (2 D/d) Fw coverage exceeds 100% or the braiding factor is(5) Cc = C (,Ks/d) + (Kb/D)l -if less than 1, and is therefore not a realistic(6) Kb = 1.O/F cos2 A braid design. One-hundred percent coverage or

braiding factor equal to 1 is equivalent to asolid conductor and a braid cannot be better thana solid conductor.

312

(b) Coverage of 100% in the table is theresult of rounding off of the decimal to thenearest tenth, i.e., when the coverage is equalto or greater than 99.95%, it is printed out of

the computer as 100.0%.

(c) The calculations are based on a tightbraid design (i.e., mean diameter equal toD + 2d), and no allowance was made for air spaceor looseness. For larger size cables, it maybe more accurate to use a mean diameter of(D + 3d) instead of (D + 2d). The data in thetables are limiting values and practical cableswould actually have slightly lower coverage thanthose indicated because of manufacturingtolerances and variations. -

(d) The weight of the braid is not givenin the table since the density or weight of thebraid material must be known; however, it canbe readily calculated from equation (4) for any Jack Spergel was born ý.n Brooklyn, New York, onspecified braid material, strand diameter, and September 3, 1924. He attended City College of Newcore diameter since the fill factor for the York from 1942 to 1943, and served in the U. S. Armybraid is given in the table. Air Corps from 1943 to 1945. After World War I1, Mr.

Spergel attended Cornell University, Ithaca, New York,(e) The braiding factor is useful in where he received a B.E.E. degree in 1949. He Is a

calculating outer conductor or sh,.eld attenua- Senior Member of IEEE.tion. It is a measure of ýhe ratio of the lay Since 1949, he has been employed at the Elec-factor to the fill factor. The lay factor is tronic Technology and Devices Laboratory, U. S. Armythe ratio of the actual length of wire to the Electronics Command, Ft. Mornouth, N. J., where helinear length of cable, therefore, the greater has been engaged in research and development of coaxialthe lay factor the greater the braiding factor. transmission lines, wire and cable, and electrical con-In addition, the fill factor is a measure of nectors. For the past eight years, Mr. Sporgel hasthe surface area covered by the braid, therefore been Chief, Transmission and Electromechanical Devicesthe lower the fill factor, the greater the Branch, responsible for the development of cables andbrai•, factor. It is therefore reasonably connectors for USASCOM and coordinating such activitiesappayent that the longer the braid wire relative within Dept. of Army and DOD. He is currently theto the length of cable and the lower the fill Army Representative to NATO Special Working Groupfactor, the greater will be the braiding AC/67(SWQ/12) on "Electrical Connectors and Connec-factor and, in turn, the attenuation. tions." For the past eight years, he has been Co-

Chairman of the International Wire and Cable Symposium,and served as chairman of a USAMC Ad-Hoc Cormittee on

REFERENCE: Spicer, L. R., "Relationships a Handbook for Electrical Wire and cable (ANCP 706-125).Between Attenuation an, Wire Braid Design for Hr. Spergel has published over 15 technical papers onFlexible Radio Frequency Cables," Electrical the subject of connecters and/or cable, and has recent-Communication, Vol. 40, No. 4, 1965, pp 487-492 ly written a chapter on Coaxial Transmission Lines for

a McGraw-Hill Handbook on Wire and Cable to be publishedin the near future.

43320

,NN

(C) SINGLE STRANDPICK ONEDIAMETER

CARRIER

SHIELD-CONSTRUCTIONAL DETAILSFIG. 1

FORTRAN XV COMPDUTER PROGRAM FOR CALOIJIATING BRAID PAIRAMEPERS

100 FILE 6:OUTPT, UNIT=PRINTER200 REAL KC25),C(5),D(7),P(7),N(7),AC25),COVc25),DOD(25),F(25)300 DATA CI,62,64/P35791~s1/

500 PIz4.*ATA?4(l.)700 5 FORMAT(IHI,45X,-BRAID DESIGN PARAMETERS FOR COAXIAL CABLE-)890 DO 100 KC=1,5,1900 CR:CCKC)1000 DO 100 1=1,7p31100 PX:P(I)1200 DO 190 J:1,7,31300 EN:NCJ)1350 WRITEC6,5)1400 WRITE(6,10)1500 10 FORMAT(1IH0,50X,-CARRIERS PICKS ENDS")1600 WRITE(6,15) CR,PK,EN1700 15 FORMAT(1M ,53X,12,1@X,I2,7X,12)1800 WRITE(6,20)1900 20 FORMAT(1H0,"STR.DIA.-,20X,"DIAMETER OVER DIELECTRIC-)2000 WRITE(6,25)2100 25 FORI1AT(1I40,12X,"l.0~0 1.100 0.150 0.200 0.250 0.300-2200 -"0.350 0.400 0.450 0,500 0.558 0.600 Sa650 P.700 0.750"i 2250 O.C9.C1 06350 0.900 0' 1,060&")2300 DO 100 L=1,72400 SD:D(L)2500 DO 150 M:1,202600 DODCM)=FLOATCM)/202700 A(M):(1S0./Pl)*ATAN(2.*PI*(DOD(N).2.*SD)*PK/C1k,2800 FCN):.PK*EN*SD/SIN(ACM)*PI/180.)2900 COV(H),:(2,*FCN)-F(m)**2)*1003000 KCMi):1.6/(F(M)*(COSCA(M)*PI/l88.))**2)3180 IF(FCN),LE.1,0)GO TO 1503150 CCVCN):IBESO3163 K(M):IME503200 155 CONTINUE3300 WRITE(6,30)SD,(COV(M),,%:1,20)3400 30FORMAT(IMOF6.3,3X,"%C.,20F6. I)3420 WRITEC6,55) (F(N),M1s1,20)3440 55FORMAT(IH l0OX,-F-,20F6.3)3500 WRITE(6,35) CA(M),Il:I,20)3600 35FORMAT(III l0X,-A-,20F6.1)3700 WRITE(6,40) CK(N)tM:1,20)3500 40FORMAT(IM l0OX,-K-,28F6.2)3550 100 CONTINUE3900 STOP41300 END

321 4

pICeKS

I REVOLUTION --- i 4,,&L INCHES

ALONG AXIS IBRAID WIRES

SODm

P,"=LENGTH OF

I PICK

A Nd

I PICK N' I

INCHES ONE UNIT

NO BRAID

4 _ _ N=N0 OF

A I ENDSSCx / INCHES

Dm = (D + 2d) mean diameter % Coverage = actual area of braid x 100total surface area

Length of lay = 0/2P = Number of picks x lengthof pick S= b 2 - (b-a) 2

= b2 b2 + 2ab - a2

tan A = T- Dm/(C/2P) = 2 7r (D ý 2d)P/C b2 b2

A =tan -12 •7(D+ 2d)P/CA Coverage = 2ab - a 2

= 2(a) -(a) 2 = 2F - F2

F = a/b = fill factor, i.e., the ratio of the b 2 b2 (2 ) ()actual width of one pick to the width of onepick for 100% coverage

From Reference:Wioth of one pick = l.d/CosA

Braiding Factor, Kb, is ratio of lay factorNumber of picks = C 2 K, to fill factor, F.

Average circumference = •Dm = kNd'F CosA) (C 2) Lay factor is defined as K1 = 1 + tan 2A

CosA = NdC/2ITDmF Kb KliF = (1 + tan2A)/F

(CosA) (Tan A) = sin A = (NdC/2 1I7)mF) (2'lrDmP/C) Kb I/F Cos0 A

F = NdP/sin A

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R&DTEH COF357ZNVIZ7 · braid is given in the table. Air Corps from 1943 to 1945. After World War...

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Transcript of R&DTEH COF357ZNVIZ7 · braid is given in the table. Air Corps from 1943 to 1945. After World War...