220 kv sag tension calculation- thyottar

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Page 1 of 14 POWER GRID CORPORATION OF INDIA LTD. ( A GOVERNMENT OF INDIA ENTERPRISER) SECTOR-29, GURGAON-122001, HARYANA PROJECT EX WORKS SUPPLY CONTRACT AGREEMENT: REF. NO. C-62010-S219A-3/G7/CA-I/3476 DATED 6.10.2010 SERVICE CONTRACT AGREEMENT: REF. NO. C-62010-S219A-3/G7/CA-II/3477 DATED 6.10.2010 CONTRACTOR PSC ENGINEERS PVT. LTD., KOLKATA TITLE DRG. NO. K2010PS003A-245 REVISION R1 PREPARED BY ANUPAM CHECKED BY ANUPAM APPROVED BY TPK DATE 23/3/2011 1 REVISED AS PER PGCIL COMMENTS ANUPAM 23/3/2011 0 FIRST SUBMISSION FOR APPROVAL ANUPAM 8/2/2011 REVISION DESCRIPTION SIGN DATE "SOUDAMINI", 3 rd FLOOR, PLOT NO.-2 DESIGN, ENGINEERING, SUPPLY, ERECTION(INCLUDING CIVIL WORK), TESTING AND COMMISSIONING FOR CONSTRUCTION OF SUB-STATION PACKAGE-'PB-S3' UNDER TRANSMISSION SYSTEM ASSOCIATED WITH PALLATNA GBPP & BONGAIGAON TPS IN NORTH EASTERN REGION 132KV BAY EXTENSION AT PURBO KANCHAN BARI SUB-STATION - SAG TENSION CALCULATION AND STRINGING CHART

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Cover SheetPOWER GRID CORPORATION OF INDIA LTD.( A GOVERNMENT OF INDIA ENTERPRISER)"SOUDAMINI", 3rd FLOOR, PLOT NO.-2SECTOR-29, GURGAON-122001, HARYANAPROJECTDESIGN, ENGINEERING, SUPPLY, ERECTION(INCLUDING CIVIL WORK), TESTING AND COMMISSIONING FOR CONSTRUCTION OF SUB-STATION PACKAGE-'PB-S3' UNDER TRANSMISSION SYSTEM ASSOCIATED WITH PALLATNA GBPP & BONGAIGAON TPS IN NORTH EASTERN REGIONEX WORKS SUPPLY CONTRACT AGREEMENT: REF. NO. C-62010-S219A-3/G7/CA-I/3476 DATED 6.10.2010SERVICE CONTRACT AGREEMENT: REF. NO. C-62010-S219A-3/G7/CA-II/3477 DATED 6.10.2010CONTRACTORPSC ENGINEERS PVT. LTD., KOLKATATITLE132KV BAY EXTENSION AT PURBO KANCHAN BARI SUB-STATION - SAG TENSION CALCULATION AND STRINGING CHARTDRG. NO.K2010PS003A-245REVISIONR1PREPARED BYANUPAMCHECKED BYANUPAMAPPROVED BYTPKDATE23/3/20111REVISED AS PER PGCIL COMMENTSANUPAM23/3/20110FIRST SUBMISSION FOR APPROVALANUPAM8/2/11REVISIONDESCRIPTIONSIGNDATE

&CPage &P of &N

TheorySAG TENSION CALCULATION AND STRINIGING CHART FOR 132KV BAY EXTENSION AT PURBO KANCHAN BARI SUB-STATION (TRIPURA)SUMMARY1.0INTRODUCTION :For 132kV Bay Extension at Purbo Kanchan Bari Sub-Station (Tripura)1) Single Zebra ACSR Conductor is proposed for Transfer Bus - A & B.2) Single Zebra ACSR Conductor is proposed for high level bus (jack bus).3) The initial tensile force is considered as per technical specification i.e. 1000 kg per conductor for Single ZebraACSR.The present report is brought out to determine tension and sag under different conditions for conductorand also to check vertical clearances.2.0STANDARDS & REFERENCES :Following standards/references are used for present report :-i)IS : 802 ( Part 1 / Sec 1 ) : 1995ii)IS : 875 ( Part 3 ) - 1987iii)Technical specification of PGCIL for substation package-'PB-S3' under transmission system associated with pallatnaGBPP & Bongaigaon TPS in nort eastern region.iv)Tamilnadu Electricity Board Engineer's association"Power Engineer's Hand-Book" (Part-I)v)Overhead Line Practice By John McCombe (Book)vi)Drawings -Layout Plan- K2010PS003A-203 Rev. 2Layout Sections- K2010PS003A-204 Rev.23.0METHODOLOGY :To compute sag and tension, calculations are carried out for following conditions as stated in clause 10 of IS 802( Part 1 / Sec 1 ) : 1985.a) 0 oC -- Nil wind and 36 % wind Force.b) 32 oC -- Nil Wind and Full Wind Force.b) 75 oC -- Nil Wind condition.Sag at these temperatures for Nil wind condition is checked for adequate Vertical clearance.Tension for 00C & 36% wind,320C & full wind has been computed to check it against design value of 1T per conductor for Single Zebra ACSRconductor.4.0CONCLUSION :The results are tabulated in the table kept below as Annexure-A.Sag and tension values for all temperatures from 00C to 850C and nil wind condition are tabulated in the table keptbelow as Annexure-1, 2 & 3 respectively.The Sample calculation for different conditions are enclosed herewith.It is seen that the vertical clearances adopted are adequate.

&LSag Tension Calculation and Stringing Chart&CPage &P of &N&RPGCIL 132kV Bay Extension atPurbo Kanchan Bari Sub-Station(Tripura)&LPSC Engineers Pvt. Ltd.Ex WSC Agreement Ref. C-62010-S219A-3/G7/CA-I/3476 Dt: 6.10.2010SC Agreement Ref. C-62010-S219A-3/G7/CA-II/3477 Dt: 6.10.2010&RPSC Drg. No. K2010PS003A-245 R1

Table(Annexure-A)ANNEXURE-ASAG-TENSION TABLE FOR CONDUCTOR WITH DIFFERENT SPANSFOR 132KV BAY EXTENSION AT PURBO KANCHAN BARI SUB-STATION (TRIPURA)FOLLOWING SAG VALUES HAVE BEEN CALCULATED AS PER IS-802 (PART-2), 1993SPAN LENGTHTEMP. OF CONDUCTORWIND LOADTENSION (Kgf)SAG (m)400 KV0oCNIL0.00000.000036%0.0000-----32oCNIL0.00000.000054 mtrs.FULL0.0000-----Quad Bersimis75oCNIL00.0000FULL0.0000------0oCNIL4590.6536%500----132 KV21 mtrs.32oCNIL1561.69Single ZebraTransfer Bus-AFULL293----75oCNIL962.33Minimum Phase-Phase / Phase-Ground clearance require=Maximum Sag + Phase to Phase clearanceunder sag condition.=0.93 + 1.3=3.63Clearance actually provided=Tower height - Equipment Height=8 - 4.6=7.3Margin available=3.67Hence it is Safe.SPAN LENGTHTEMP. OF CONDUCTORWIND LOADTENSION (Kgf)SAG (m)0oCNIL00.0036%0----132 KV52.55 mtrs.32oCNIL00.00Single ZebraJack BusFULL0----75oCNIL00.00Minimum Phase-Phase / Phase-Ground clearance require=Maximum Sag + Phase to Phase clearanceunder sag condition.=1.64 + 1.3=0.00Clearance actually provided=Higher Tower Height - Lower Tower Height=12.0 - 8.0=0.00Margin available=0.00Hence it is Safe.SPAN LENGTHTEMP. OF CONDUCTORWIND LOADTENSION (Kgf)SAG (m)0oCNIL00.0036%0----132 KV52.50 mtrs.32oCNIL00.00Single ZebraTransfer Bus-BFULL0----75oCNIL00.00Minimum Phase-Phase / Phase-Ground clearance require=Maximum Sag + Phase to Phase clearanceunder sag condition.=1.64 + 1.3=0.00Clearance actually provided=Tower height - Equipment Height=8 - 4.6=0Margin available=0.00Hence it is Safe.

&LSag Tension Calculation and Stringing Chart&CPage &P of &N&RPGCIL 132kV Bay Extension atPurbo Kanchan Bari Sub-Station(Tripura)&LPSC Engineers Pvt. Ltd.Ex WSC Agreement Ref. C-62010-S219A-3/G7/CA-I/3476 Dt: 6.10.2010SC Agreement Ref. C-62010-S219A-3/G7/CA-II/3477 Dt: 6.10.2010&RPSC Drg. No. K2010PS003A-245 R1

Annexure-BANNEXURE-BCALCULATION OF WIND EFFECTS (Ref. IS 802 Part 1/Sec 1 : 1995)1.0Basic wind speedVb=39m/sec2.0Design wind speedVd=VR x K1 x K2WhereK1=Risk co-efficient=1K2=Terrain roughness coefficient which is=1Factor to convert 3 second peak gust speed into average speed of wind during 10 minutes periodK0=1.375Meteorological reference wind speedVR=Vb / K0m/sec28.36Vd=28.363.0Design wind pressurePd=0.6 Vd2=482.70N/m249.25Kgf/m25.0Wind load on each conductorFwc=Pd x cdc x L x D x Gc(Cl. 9.2 of Ref IS)Where,L=Wind span i.e. the sum of half the spans on either side in mtrsCdc=Drag coefficient=1D=Dia. of conductor=0.03177Gc=Gust Response factor--------Refer Table: 7 of IS 802Part 1 / Sec 1, 1995=2.12For 8 m heightThereforeFwc=32.51N/mFor12 m height=3.31Kg/mFor 12 m height

&LSag Tension Calculation and Stringing Chart&CPage &P of &N&RPGCIL 132kV Bay Extension atPurbo Kanchan Bari Sub-Station(Tripura)&LPSC Engineers Pvt. Ltd.Ex WSC Agreement Ref. C-62010-S219A-3/G7/CA-I/3476 Dt: 6.10.2010SC Agreement Ref. C-62010-S219A-3/G7/CA-II/3477 Dt: 6.10.2010&RPSC Drg. No. K2010PS003A-245 R1

220kV 17m ACSR MOOSESAG TENSION CALCULATIONS ( 132KV Single Zebra ACSR Conductor )21M SPAN (SINGLE ZEBRA ACSR)----------132kV Transfer Bus-AGeneral Perticulars :1Span Length=17.00m2Girder width=1.50m3Span length excluding girder width=15.5m4Spacer Span=0.00m5Length of Disc Insulator String (One side) (li)=3.00m6Total Length of Hardware (With Turn Bucckle + Without Turn Bucckle)=0.05m7Diameter of disc insulator string (di)=0.05m8Length of conductor=9.45m9Span length excluding girder width ,Hardware and string ( L)=9.45m10Initial Tension per conductor=500.00Kg11Dia of Conductor=0.0318m12Weight of Conductor=2.0040Kg/m13No. of Spacers=0.000014Unit Weight of spacer=0.0000Kg15Unit weight of single tension disc insulator string=165.0000Kg16Unit weight of single tension hardware with turnbuckle.=1.0000Kg17Unit weight of single tension hardware without turnbuckle=1.0000Kg18Unit weight of Disc Insulator with hardware (Wi)=166Kg19Length of Turnbuckle(lt)=0.0500m20Width of Turnbuckle(Bt)=0.0220m21Weight of turnbuckle(Wt)=1.0000Kg22Weight of conductor with spacers=2.0040Kg/m23100% wind load on conductor per phase (n FWC)---- [Refer Annexure-B]=3.3100Kg/m24Area of cross section of conductorAREA=5.97Sq.cm25Modulus of Elasticity of conductorES=686000.0000Kg/Sq.cm26Coefficient of Thermal expansionET=0.0000193/oC27Maximum temperature consideredTmax=85oC28Number of subconductorsn=129Bus Heighth=11.9m1.0The equation for finding stress (f2) in different air conditions and for different temperature ranges is as under :-f22 x { f2 - [f1 - (q12 2 L2 E / 24 f12) - E t] }=q22 2 L2 x E / 24 Refer T.N.E.B. Handbookf22 x { f2 - [f1 - (q12 2 L2 E / 24 f12) - E t] }-(q22 2 L2 E / 24)=0. Eq-(I)The Sag can be calculated from the following equation -SAG=q1**L2 Eq-(II)n 8 f2Where,f1=Initial stress in conductor at temperature t1 (kg/cm2)f2=Final stress in conductor at temperature t2 (kg/cm2)q1=Still wind loading factorq2=36% Maximum wind loading factorq3=Maximum wind loading factor=Weight Factor in kg/m/cm2L=Span (m)E=Modulus of Elasticity in kg/cm2=Co-efficient of linear expansionD=Overall Diameter of conductor (m)A=Cross sectional area of conductor (cm2)P2=Wind load on conductor 36% (kgf/m)P3=Wind load on conductor (max.) (kgf/m)t1=Initial temperature (oC)t2=Final temperature (oC)T1=Initial tension in conductor at temp t1 = f1 x A (kgf)T2=Final tension in conductor at temp t2 = f2 x A (kgf)S1=Sag at initial condition T1 (m)S2=Sag at final condition T2 (m)2.0Parameters2.1Weight factor=WAWeight of conductor with accessories/Phase Wc=2.00Kg/mCross sectional areaA=5.97cm2Therefore=0.34kg/m/cm22.2Wind factorsAt 36% windP2=1.19Kg/mRefer S.No. 23 aboveAt Full windP3=3.3100Kg/m2.3Loading factorsAt Still windq1=1At 36% windq2==1.16At Full windq3==1.932.4Temperature factorsE t32=423.6736(Starting condition is assumedat 32oC and 36% of full wind)E t85=1125.383E t0=0Therefore from above formulas sag can be calculated as, Sag=WcL2n8T2. Eq-(III)Where "n" represents nos. of subconductor3.0Calculation of Sag and TensionHere Sag is calculated at 00C, 320C and 850C for Nil wind condition.Reference condition is assumed as 00C and 36% of Full Wind,So, Tension at reference condition is,T1=500kgfAnd Stress in conductor at reference condition is ,f1=nT1Af1=83.7521kg/cm23.1At 32oC3.1.1For Nil wind condition :-i.SAG DUE TO CONDUCTORReference stress at 00C and 36% of full wind condition is,f1=83.75kg/cm2Now,=55.5022Tension Factor at Nill wind==287622.7691E t32=423.6736Stress (f2) is calculated as under,83.7555.5022423.6736287622.7691f23-f22[ f1-((L2 2 x E q22) / (24 f12))-(E t32) ]=(L2 2 E q12) / (24). Eq-(I)0.00f23-f22 [206.40 - 50.3251 - 434.8411] - 932927.6838=0f2=26.12Kg/cm2Tension T2=155.94KgSag at 320C and Nill Wind (Sc)=WcL2n8T2=0.14miiSAG DUE TO INSULATORThe parameters required are expressed as follows,U1 =(li2 + (di/2)2)=3.00mU2 =((li/2)2 + (di/2)2)=1.50m =Tan-1 [(di/2)/li]=0.01radians =Tan-1 [di/li]=0.02radiansTP1 =(Wc*L/2) * U1 * Cos + Wi * U2 * Cos - n * T2 * U1 * Sin=273.51TP2 =n * T2 * U1 * Cos * + Wc * (L/2) * U1 * Sin + Wi * U2 * Sin=472.21 =Tan-1 (TP1 / TP2)=0.525radiansSag due to insulator = Si = U1 * Sin( + )=1.53miiiSAG DUE TO TURNBUCKLEThe parameters required are expressed as follows,V1 =(It2 + (Bt/2)2)=0.05mV2 =((It/2)2 + (Bt/2)2)=0.03m1 =Tan-1 [(Bt/2)/It]=0.22radians1 =Tan-1 [Bt/It]=0.41radiansTP3 =(Wc*(L/2)+Wi) *V1*Cos1+Wt* V2*Cos1-n*T2*V1*Sin1=7.083TP4 =n*T2*V1*Cos1*+(Wc*(L/2)+Wi)*V1*Sin1+Wt*V2*Sin1=7.921 =Tan-1 (TP3 / TP4)=0.73radiansSag due to Turnbuckle = St = V1 * Sin(1 + 1)/2=0.02mTotal maximum sag of single moose conductor Sg = Sc+Si+St=1.69m3.1.2For full wind condition :-Reference stress at 00C and 36% of full wind condition is,f1=83.75kg/cm2Now,=55.5022Tension Factor at Full wind==1072286.9289E t32=423.6736Stress (f2) is calculated as under,83.7555.5022423.67361072286.9289f23-f22[ f1-((L2 2 x E q22) / (24 f12))-(E t32) ]=(L2 2 E q32) / (24). Eq-(I)0.00f23-f22 [206.40 - 50.3251 - 434.8411] - 10276580.2456=0f2=49.11Kg/cm2Tension T2=293.21Kg3.2At 85oC3.2.1For Nil wind condition :-i.SAG DUE TO CONDUCTORReference stress at 00C and 36% of full wind condition is,f1=83.75kg/cm2Now,=55.5022Tension Factor at Nill wind==287622.7691E t85=1125.3830Stress (f2) is calculated as under,f23-f22[ f1-((L2 2 x E q22) / (24 f12))-(E t32) ]=(L2 2 E q12) / (24). Eq-(I)83.7555.50221125.3830287622.7691f23-f22 [206.40 - 50.3251 - 1019.1587] - 932927.6838=00.00f2=16.07Kg/cm2Tension T2=95.96KgSag at 850C and Nill Wind (Sc)=WcL2n8T2=0.23miiSAG DUE TO INSULATORThe parameters required are expressed as follows,U1 =(li2 + (di/2)2)=3.00mU2 =((li/2)2 + (di/2)2)=1.50m =Tan-1 [(di/2)/li]=0.01radians =Tan-1 [di/li]=0.02radiansTP1 =(Wc*L/2) * U1 * Cos + Wi * U2 * Cos - n * T2 * U1 * Sin=275.01TP2 =n * T2 * U1 * Cos * + Wc * (L/2) * U1 * Sin + Wi * U2 * Sin=292.27 =Tan-1 (TP1 / TP2)=0.75radiansSag due to insulator = Si = U1 * Sin( + )=2.07miiiSAG DUE TO TURNBUCKLEThe parameters required are expressed as follows,V1 =(It2 + (Bt/2)2)=0.05mV2 =((It/2)2 + (Bt/2)2)=0.03m1 =Tan-1 [(Bt/2)/It]=0.22radians1 =Tan-1 [Bt/It]=0.41radiansTP3 =(Wc*(L/2)+Wi) *V1*Cos1+Wt* V2*Cos1-n*T2*V1*Sin1=7.743TP4 =n*T2*V1*Cos1*+(Wc*(L/2)+Wi)*V1*Sin1+Wt*V2*Sin1=6.741 =Tan-1 (TP3 / TP4)=0.85radiansSag due to Turnbuckle = St = V1 * Sin(1 + 1)/2=0.02mTotal maximum sag of single moose conductor Sg = Sc+Si+St=2.33m3.3At 0oC3.3.1For Nil wind condition :-i.SAG DUE TO CONDUCTORReference stress at 00C and 36% of full wind condition is,f1=83.75kg/cm2Now,=55.5022Tension Factor at Nill wind==287622.7691E t0=0.0000Stress (f2) is calculated as under,f23-f22[ f1-((L2 2 x E q32) / (24 f12))-(E t32) ]=(L2 2 E q12) / (24). Eq-(I)f23-f22 [206.40 - 50.3251 - (0)] - 932927.6838=083.7555.50220.0000287622.7691f2=76.89Kg/cm20.00Tension T2=459.06KgSag at 00C and Nill Wind (Sc)=WcL2n8T2=0.05miiSAG DUE TO INSULATORThe parameters required are expressed as follows,U1 =(li2 + (di/2)2)=3.00mU2 =((li/2)2 + (di/2)2)=1.50m =Tan-1 [(di/2)/li]=0.01radians =Tan-1 [di/li]=0.02radiansTP1 =(Wc*L/2) * U1 * Cos + Wi * U2 * Cos - n * T2 * U1 * Sin=265.93TP2 =n * T2 * U1 * Cos * + Wc * (L/2) * U1 * Sin + Wi * U2 * Sin=1381.57 =Tan-1 (TP1 / TP2)=0.19radiansSag due to insulator = Si = U1 * Sin( + )=0.59miiiSAG DUE TO TURNBUCKLEThe parameters required are expressed as follows,V1 =(It2 + (Bt/2)2)=0.05mV2 =((It/2)2 + (Bt/2)2)=0.03m1 =Tan-1 [(Bt/2)/It]=0.22radians1 =Tan-1 [Bt/It]=0.41radiansTP3 =(Wc*(L/2)+Wi) *V1*Cos1+Wt* V2*Cos1-n*T2*V1*Sin1=3.749TP4 =n*T2*V1*Cos1*+(Wc*(L/2)+Wi)*V1*Sin1+Wt*V2*Sin1=24.891 =Tan-1 (TP3 / TP4)=0.15radiansSag due to Turnbuckle = St = V1 * Sin(1 + 1)/2=0.01mTotal maximum sag of single moose conductor Sg = Sc+Si+St=0.65m3.1.2For 36% wind condition :-Reference stress at 00C and 36% of full wind condition is,f1=83.75kg/cm2Now,=55.5022Tension Factor at 36% wind==389315.2442E t0=0Stress (f2) is calculated as under,83.7555.50220.0000389315.2442f23-f22[ f1-((L2 2 x E q22) / (24 f12))-(E t32) ]=(L2 2 E q22) / (24). Eq-(I)0.00f23-f22 [206.40 - 50.3251 - (0)] - 2143865.0558=0f2=83.75Kg/cm2Tension T2=500.00Kg4.0The results are tabulated below:-SPANTEMP. OFWINDTENSION= STRESS (f2) X AREASAGLENGTHCONDUC.LOADKgfIN MTRS.0oCNIL4590.6536%500-----220 KV17 mtrs.32oCNIL1561.69Single MooseFULL293-----85oCNIL962.335.0Verification of Clearances :-Vertical Clearance:Minimum Phase-Phase / Phase-Ground Clearance require under Sag=Minimum Phase to Phase Clearance + Maximum Sagcondition=1.3 + 2.04=3.63mtrs.Clearance actually provided=Tower Height - Equipment Height=11.9 - 4.6=7.30mtrs.Margin available=3.67mtrs.Hence its Safe.

&LSag Tension Calculation and Stringing Chart&CPage &P of &N&RPGCIL 132kV Bay Extension atPurbo Kanchan Bari Sub-Station(Tripura)&LPSC Engineers Pvt. Ltd.Ex WSC Agreement Ref. C-62010-S219A-3/G7/CA-I/3476 Dt: 6.10.2010SC Agreement Ref. C-62010-S219A-3/G7/CA-II/3477 Dt: 6.10.2010&RPSC Drg. No. K2010PS003A-245 R1in223299:Goel Sick

Annexure-1SAG TENSION CALCULATIONS ( 220 KV Single Zebra ACSR Conductor )21 M. SPAN (SINGLE ZEBRA ACSR)----------132kV Transfer Bus-AGeneral Perticulars :1Span Length=21m2Girder width=0.75m3Span length excluding girder width=20.25m4Spacer Span=0m5Length of Disc Insulator String (One side) (li)=1.45m6Total Length of Hardware (With Turn Bucckle + Without Turn Bucckle)=0.345m7Diameter of disc insulator string (di)=0.2158Length of conductor=16.855m9Span length excluding girder width ,Hardware and string ( L)=16.855m10Initial Tension per conductor=1000Kgf11Dia of Conductor=0.02862m12Weight of Conductor=1.621Kgf/m13No. of Spacers=014Unit Weight of spacer=0Kg15Unit weight of double tension disc insulator string=57Kg16Unit weight of double tension hardware with turnbuckle.=18Kg17Unit weight of double tension hardware without turnbuckle=15Kg18Unit weight of Disc Insulator with hardware (Wi)=73.5Kg19Length of Turnbuckle(lt)=0.495m20Width of Turnbuckle(Bt)=0.022m21Weight of turnbuckle(Wt)=2.7Kg22Weight of conductor with spacers=1.62Kg/m23100% wind load on conductor per phase (n FWC)---- [Refer Annexure-B]=3.3100Kg/m24Area of cross section of conductorAREA=4.845Sq.cm25Modulus of Elasticity of conductorES=704082Kg/Sq.cm26Coefficient of Thermal expansionET=0.0000193/oC27Maximum temperature consideredTmax=75oC28Number of subconductorsn=129Bus Heighth=8m1.0The equation for finding stress (f2) in different air conditions and for different temperature ranges is as under :-f22 x { f2 - [f1 - (q12 2 L2 E / 24 f12) - E t] }=q22 2 L2 x E / 24 Refer T.N.E.B. Handbookf22 x { f2 - [f1 - (q12 2 L2 E / 24 f12) - E t] }-(q22 2 L2 E / 24)=0. Eq-(I)The Sag can be calculated from the following equation -SAG=q1**L2 Eq-(II)n 8 f2Where,f1=Initial stress in conductor at temperature t1 (kg/cm2)f2=Final stress in conductor at temperature t2 (kg/cm2)q1=Still wind loading factorq2=36% Maximum wind loading factorq3=Maximum wind loading factor=Weight Factor in kg/m/cm2L=Span (m)E=Modulus of Elasticity in kg/cm2=Co-efficient of linear expansionD=Overall Diameter of conductor (m)A=Cross sectional area of conductor (cm2)P2=Wind load on conductor 36% (kgf/m)P3=Wind load on conductor (max.) (kgf/m)t1=Initial temperature (oC)t2=Final temperature (oC)T1=Initial tension in conductor at temp t1 = f1 x A (kgf)T2=Final tension in conductor at temp t2 = f2 x A (kgf)S1=Sag at initial condition T1 (m)S2=Sag at final condition T2 (m)2.0Parameters2.1Weight factor=WAWeight of conductor with accessories/Phase Wc=1.62Kg/mCross sectional areaA=4.845cm2Therefore=0.33kg/m/cm22.2Wind factorsAt 36% windP2=1.19Kg/mRefer S.No. 23 aboveAt Full windP3=3.3100Kg/m2.3Loading factorsAt Still windq1=1At 36% windq2==1.24At Full windq3==2.272.4Temperature factorsE t32=434.8411(Starting condition is assumedat 02oC and 36% of full wind)E t75=1019.1587E t0=0Therefore from above formulas sag can be calculated as, Sag=WcL2n8T2. Eq-(III)Where "n" represents nos. of subconductor3.0Calculation of Sag and TensionHere Sag is calculated at 00C, 320C and 750C for Nil wind condition.Reference condition is assumed as 00C and 36% of Full Wind,So, Tension at reference condition is,T1=1000kgfAnd Stress in conductor at reference condition is ,f1=nT1Af1=206.40kg/cm23.1At 32oC3.1.1For Nil wind condition :-i.SAG DUE TO CONDUCTORReference stress at 00C and 36% of full wind condition is,f1=206.40kg/cm2Now,=33.7335Tension Factor at Nill wind==932927.6838E t32=434.8411Stress (f2) is calculated as under,206.4033.7335434.8411932927.6838f23-f22[ f1-((L2 2 x E q22) / (24 f12))-(E t32) ]=(L2 2 E q12) / (24). Eq-(I)-46651.74f23-f22 [206.40 - 50.3251 - 434.8411] - 932927.6838=0f2=53.03Kg/cm2Tension T2=256.91KgSag at 320C and Nill Wind (Sc)=WcL2n8T2=0.22miiSAG DUE TO INSULATORThe parameters required are expressed as follows,U1 =(li2 + (di/2)2)=1.45mU2 =((li/2)2 + (di/2)2)=0.73m =Tan-1 [(di/2)/li]=0.07radians =Tan-1 [di/li]=0.15radiansTP1 =(Wc*L/2) * U1 * Cos + Wi * U2 * Cos - n * T2 * U1 * Sin=45.48TP2 =n * T2 * U1 * Cos * + Wc * (L/2) * U1 * Sin + Wi * U2 * Sin=381.89 =Tan-1 (TP1 / TP2)=0.119radiansSag due to insulator = Si = U1 * Sin( + )=0.28miiiSAG DUE TO TURNBUCKLEThe parameters required are expressed as follows,V1 =(It2 + (Bt/2)2)=0.50mV2 =((It/2)2 + (Bt/2)2)=0.25m1 =Tan-1 [(Bt/2)/It]=0.02radians1 =Tan-1 [Bt/It]=0.04radiansTP3 =(Wc*(L/2)+Wi) *V1*Cos1+Wt* V2*Cos1-n*T2*V1*Sin1=40.987TP4 =n*T2*V1*Cos1*+(Wc*(L/2)+Wi)*V1*Sin1+Wt*V2*Sin1=127.381 =Tan-1 (TP3 / TP4)=0.31radiansSag due to Turnbuckle = St = V1 * Sin(1 + 1)/2=0.08mTotal maximum sag of Quad moose conductor Sg = Sc+Si+St=0.58mAnnexure-1SAG AND TENSION VALUES FOR ALL TEMPERATURES FROM 00C TO 850C AND NIL WIND CONDITION21 M SPAN (SINGLE ZEBRA ACSR)---------------------132kV TRANSFER BUS-ASr. No.Temp.Final StressTension at nil wind conditionSag due to conductorSag due to insulatorSag due to turnbuckleTotal max. sag of quad moose conductorE tSag due to insulatorSag due to turnbuckleDeg. CEquationf2T2ScSiStSgTP1TP2TP3TP4110-559984.31183.71890.100.060.080.020.170-22.591300.01-0.0234.02440.810.0821-499344.34173.48840.520.070.090.030.1813.59-17.261228.13-0.0134.57416.270.0832-444652.24163.71793.160.070.090.030.1927.18-12.171159.45-0.0135.09392.820.0943-395671.70154.43748.200.080.100.030.2040.77-7.341094.26-0.0135.58370.570.1054-352109.06145.68705.810.080.100.030.2254.36-2.781032.80-0.0036.05349.590.1065-313616.32137.48666.110.090.110.030.2367.941.49975.240.0036.49329.940.1176-279800.11129.86629.180.090.120.030.2481.535.46921.680.0136.89311.650.1287-250234.44122.81595.010.100.120.040.2695.129.13872.130.0137.27294.740.1398-224478.92116.32563.560.100.130.040.27108.7112.51826.530.0237.61279.170.13109-202095.11110.37534.720.110.140.040.28122.3015.61784.720.0237.93264.900.141110-182662.01104.93508.360.110.140.040.30135.8918.45746.500.0238.22251.850.151211-165787.9099.96484.310.120.150.040.31149.4821.03711.620.0338.49239.940.161312-151117.7795.44462.390.120.160.050.33163.0723.39679.830.0338.73229.090.171413-138336.4291.31442.400.130.160.050.34176.6525.54650.850.0438.95219.200.181514-127169.1887.55424.170.140.170.050.36190.2427.50624.420.0439.15210.170.181615-117379.4984.11407.520.140.180.050.37203.8329.29600.270.0539.33201.930.191716-108765.5280.97392.280.150.180.050.39217.4230.93578.170.0539.50194.390.201817-101156.2378.08378.310.150.190.060.40231.0132.43557.920.0639.65187.470.211918-94407.2575.43365.470.160.200.060.41244.6033.81539.300.0639.79181.120.222019-88396.8072.99353.650.160.200.060.43258.1935.08522.160.0739.92175.260.222120-83022.4970.74342.730.170.210.060.44271.7836.25506.320.0740.04169.860.232221-78197.9668.65332.620.170.220.060.45285.3637.34491.670.0840.15164.860.242322-73850.3466.72323.240.180.220.070.47298.9538.35478.070.0840.26160.210.252423-69917.9964.92314.520.180.230.070.48312.5439.29465.420.0840.35155.900.252524-66348.5763.24306.380.190.230.070.49326.1340.16453.630.0940.44151.870.262625-63097.5861.67298.780.190.240.070.50339.7240.98442.610.0940.53148.110.272726-60127.0360.20291.670.200.250.070.52353.3141.74432.280.1040.60144.580.272827-57404.3658.82284.990.200.250.070.53366.9042.46422.600.1040.68141.280.282928-54901.5757.52278.700.210.260.080.54380.4943.14413.490.1040.75138.170.293029-52594.5256.30272.780.210.260.080.55394.0743.77404.910.1140.81135.240.293130-50462.2555.15267.200.220.270.080.56407.6644.37396.810.1140.87132.470.303231-48486.6154.06261.920.220.270.080.57421.2544.94389.150.1140.93129.860.313332-46651.7453.03256.910.220.280.080.58434.8445.48381.890.1240.99127.380.313433-44943.7552.05252.160.230.280.080.59448.4345.99375.010.1241.04125.030.323534-43350.4851.12247.650.230.290.080.60462.0246.47368.470.1341.09122.800.323635-41861.2050.23243.360.240.290.090.61475.6146.93362.250.1341.14120.670.333736-40466.4249.39239.270.240.300.090.62489.2047.37356.320.1341.18118.650.333837-39157.7448.58235.370.240.300.090.63502.7947.79350.660.1441.22116.720.343938-37927.7147.81231.650.250.310.090.64516.3748.19345.260.1441.26114.880.344039-36769.6847.08228.080.250.310.090.65529.9648.58340.090.1441.30113.110.354140-35677.6946.37224.670.260.320.090.66543.5548.94335.140.1541.34111.420.364241-34646.4345.70221.400.260.320.090.67557.1449.30330.400.1541.38109.800.364342-33671.1145.05218.260.260.320.090.68570.7349.63325.850.1541.41108.250.374443-32747.4344.43215.250.270.330.090.69584.3249.96321.480.1541.45106.760.374544-31871.4943.83212.350.270.330.100.70597.9150.27317.280.1641.48105.320.384645-31039.7943.25209.560.270.340.100.71611.5050.57313.230.1641.51103.940.384746-30249.1442.70206.870.280.340.100.72625.0850.86309.340.1641.54102.610.384847-29496.6442.16204.280.280.350.100.73638.6751.14305.580.1741.57101.330.394948-28779.6741.65201.790.290.350.100.73652.2651.40301.960.1741.59100.090.395049-28095.8141.15199.370.290.350.100.74665.8551.66298.460.1741.6298.900.405150-27442.8840.67197.040.290.360.100.75679.4451.91295.080.1741.6597.750.405251-26818.8740.20194.790.300.360.100.76693.0352.16291.820.1841.6796.630.415352-26221.9439.75192.610.300.360.100.77706.6252.39288.660.1841.6995.550.415453-25650.4039.32190.500.300.370.100.78720.2152.62285.600.1841.7294.510.425554-25102.6838.90188.460.310.370.110.78733.7952.84282.630.1841.7493.500.425655-24577.3638.49186.470.310.380.110.79747.3853.05279.760.1941.7692.510.425756-24073.1238.09184.550.310.380.110.80760.9753.26276.970.1941.7891.560.435857-23588.7337.71182.680.320.380.110.81774.5653.46274.260.1941.8090.640.435958-23123.0737.33180.870.320.390.110.81788.1553.65271.630.2041.8289.740.446059-22675.0836.97179.110.320.390.110.82801.7453.84269.080.2041.8488.870.446160-22243.8036.62177.400.320.390.110.83815.3354.03266.600.2041.8688.020.446261-21828.3136.27175.740.330.400.110.84828.9254.20264.190.2041.8887.200.456362-21427.7935.94174.120.330.400.110.84842.5054.38261.840.2041.9086.400.456463-21041.4535.61172.540.330.400.110.85856.0954.55259.550.2141.9285.620.466564-20668.5735.29171.000.340.410.110.86869.6854.71257.320.2141.9384.860.466665-20308.4534.99169.510.340.410.120.86883.2754.87255.160.2141.9584.120.466766-19960.4634.68168.050.340.410.120.87896.8655.03253.040.2141.9683.390.476867-19624.0134.39166.630.350.420.120.88910.4555.18250.980.2241.9882.690.476968-19298.5434.11165.240.350.420.120.89924.0455.33248.970.2242.0082.000.477069-18983.5433.83163.880.350.420.120.89937.6355.48247.000.2242.0181.330.487170-18678.5033.55162.560.350.430.120.90951.2155.62245.090.2242.0280.680.487271-18382.9733.29161.270.360.430.120.91964.8055.76243.210.2342.0480.040.487372-18096.5233.03160.010.360.430.120.91978.3955.89241.380.2342.0579.410.497473-17818.7332.77158.780.360.430.120.92991.9856.03239.600.2342.0778.800.497574-17549.2432.52157.570.370.440.120.931005.5756.16237.850.2342.0878.210.497675-17287.6632.28156.390.370.440.120.931019.1656.28236.140.2342.0977.620.507776-17033.6732.04155.240.370.440.120.941032.7556.41234.470.2442.1177.050.507877-16786.9531.81154.110.370.450.120.941046.3456.53232.830.2442.1276.490.507978-16547.1831.58153.010.380.450.120.951059.9356.65231.230.2442.1375.950.518079-16314.0831.36151.930.380.450.130.961073.5156.76229.660.2442.1475.410.518180-16087.3831.14150.870.380.460.130.961087.1056.88228.130.2442.1574.890.518281-15866.8330.92149.830.380.460.130.971100.6956.99226.620.2542.1674.370.528382-15652.1730.71148.810.390.460.130.971114.2857.10225.150.2542.1873.870.528483-15443.1830.51147.810.390.460.130.981127.8757.21223.700.2542.1973.380.528584-15239.6330.31146.840.390.470.130.991141.4657.31222.280.2542.2072.890.528685-15041.3330.11145.880.390.470.130.991155.0557.41220.890.2542.2172.420.53

&LSag Tension Calculation and Stringing Chart&CPage &P of &N&RPGCIL 132kV Bay Extension atPurbo Kanchan Bari Sub-Station(Tripura)&LPSC Engineers Pvt. Ltd.Ex WSC Agreement Ref. C-62010-S219A-3/G7/CA-I/3476 Dt: 6.10.2010SC Agreement Ref. C-62010-S219A-3/G7/CA-II/3477 Dt: 6.10.2010&RPSC Drg. No. K2010PS003A-245 R1

MBD000C3A6C.unknown

MBD000C9816.unknown

MBD001276CB.unknown

MBD0015F29B.unknown

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MBD0002C812.unknown

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MBD000717E2.unknown

MBD0007C592.unknown

MBD000B5645.unknown

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MBD0007C594.unknown

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MBD0002C816.unknown

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MBD0002C7FD.unknown

MBD0002C7FB.unknown

MBD0002C7F6.unknown

MBD0002C7F8.unknown

MBD0002C7F9.unknown

MBD0002C7F7.unknown

MBD0002C7F4.unknown

MBD0002C7F5.unknown

MBD0002C7F3.unknown

MBD0002C7E2.unknown

MBD0002C7EA.unknown

MBD0002C7EE.unknown

MBD0002C7F0.unknown

MBD0002C7F1.unknown

MBD0002C7EF.unknown

MBD0002C7EC.unknown

MBD0002C7ED.unknown

MBD0002C7EB.unknown

MBD0002C7E6.unknown

MBD0002C7E8.unknown

MBD0002C7E9.unknown

MBD0002C7E7.unknown

MBD0002C7E4.unknown

MBD0002C7E5.unknown

MBD0002C7E3.unknown

MBD0002C7DA.unknown

MBD0002C7DE.unknown

MBD0002C7E0.unknown

MBD0002C7E1.unknown

MBD0002C7DF.unknown

MBD0002C7DC.unknown

MBD0002C7DD.unknown

MBD0002C7DB.unknown

MBD0002C7D6.unknown

MBD0002C7D8.unknown

MBD0002C7D9.unknown

MBD0002C7D7.unknown

MBD0002C7D5.unknown