K122-C2-EV-65-152 A
Transcript of K122-C2-EV-65-152 A
A 04/12/13 A.M.A B.O.M H.U.Z
A0 01/18/13 A.M.A B.O.M H.U.Z
Rev Date Prepared by Checked by Approved by
Review
A
Technical
person in
charge:
Description
OH Power Lines and Substations for CVPUE - K122 Contract
Issued for Internal Review
Issued for Fluor's Review
ABENGOA PERU
Document name:
Steel Structures Mechanical Loads Analyses for the 220 kV CVPUE Substation
Document N°:
K122-C2-EV-65-152
ENVIRONMENTAL CONDITIONS Pressure constant
k = 0,613
Meters above sea level 3 000 m
Environment temperature Case 1 EDS 16,6 0,00 0,00 - Min. 0 °C Case 2 Maximum wind 10,0 49,03 0,00 - Max. 30 °C Case 3 Ice N/A N/A N/A
Wind speed 28 m/s Case 4 Ice + Wind N/A N/A N/A
Normal temperature (EDS) 16,6 °C Case 5 Minimum temp. 0,0 0,00 0,00
Case 6 Maximum temp. 75,0 0,00 0,00
CONDUCTOR N/A: Not applicable
This substation are located
Conductor Cross-section 1 772,94 mm² in 0 area, C zone according to
Diameter 54,81 mm Peruvian electrical code (CNE)
Weight 4,98 Kg/m Pv Wind pressure (kg/m²)
Rated breaking strength 26 709 Kg k Pressure constant
Final modulus of elasticity 5 200 Kg/mm² k = 0.613 for elevations up to 3000 masl
Thermal expansion coefficient 0,000023 1/°C k = 0.455 for elevations above 3000 masl
Maximum wind speed 28,00 m/s V Wind speed (m/s)
Average wind speed 16,80 m/s Sf Form factor (Sf=1 for conductors)
(See page number 212 of CNE)
INSULATOR STRING
Weight per insulator 10,00 kg Wr Conductor Wind Ice UnitsInsulator string weight 230,00 kg 4,98 4,984 0,00 0,000 kg/m (Case 1) 0,00
Insulator string lenght 3,57 m 5,66 4,984 2,688 0,000 kg/m (Case 2) 0,00
Number of insulators 20,00 u -- -- -- -- kg/m (Case 3) --
Insulator lenght 0,33 m -- -- -- -- kg/m (Case 4) --
Insulator height 0,17 m 4,98 4,984 0,00 0,000 kg/m (Case 5) 0,00
4,98 4,984 0,00 0,000 kg/m (Case 6) 0,00
Wr Resulting load (kg/m)
Wv Wind load (kg/m)
Wh Ice load (kg/m)
Pv Wind pressure (kg/m²)
Dc Conductor diameter (m)
Eh Ice tickness (m)
δ h Ice density (δ h = 913 kg/m³)
Span 30,00 m
% EDS 6,00 %
Tension EDS 1 602,54 kg
Stregth EDS 0,90 (Kg/mm²)
Case 1 EDSStrength 1 (kg/mm ²) 0,90Tension 1 (kg) 1 602,54Sag (m) 0,59
% Sag : 1,95% Span
Case 2 Maximum wind Weather Conditions Designsb (m) 22,86P (kg) 113,93Wconductor (kg) Wind 61,44Winsulator (kg) Wind 55,02 Where:K (kg/mm ²) 0,00186K' (kg/mm ²) 0,00209
A = 0,82
B = 8,29 Sags EcuationC= 8,89AxEsf2³+BxEsf2²-C=0. 0,00Strength 2 (kg/mm ²) 0,99Longitudinal tension 2 (kg) 1 752,09 Where:
Sag (m) 0,58 b Horizontal distance between strings ends (m).
% Sag : 1,95% Span a’ Insulator string lenght (m).
CALCULATION N° 1220kV CVPUE SUBSTATION
STEEL STRUCTURES MECHANICAL LOADS ANALYSIS220kV STEEL STRUCTURES
BLUEBONNET AAC - 30m
Load Conditions (CASES)
Ice tickness(mm)
Temp.°C
AAC BLUEBONNET
W Unitary Iceon Insulator
W Conductor (Unitary)
Wind pressure(Kg/m²)
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PGaPb
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PbPG
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aff ba
++=++=+
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K +++=
××=
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801.9 m
kgSVkP f
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kgEhDPW CVV )2(
[ ]
∂−+=m
kgDEhDW hCCh
22)2(4π
d Conductor diameter (m).
Case 3 Ice f Sag (m).
b (m) -- A Gauge conductor (mm²).P (kg) -- θ Conductor temperature (ºC).
Wconductor (kg) Wind -- v Wind speed (km/h).
Winsulator (kg) Wind -- E Final modulus of elasticity (Kg/mm²).Hconductor (kg) Ice -- T Conductor tension (kg).
Hinsulator (kg) Ice -- G Insulator string weight (kg).K (kg/mm ²) -- L Span lenght (m).K' (kg/mm ²) -- P Conductor weight (kg).
A = -- R Tension resulting from vertical and horizontal strength (kg)
B = -- σ Conductor strength (kg/mm²).
C= -- V Wind horizontal strength (kg).AxEsf2³+BxEsf2²-C=0. -- Pv Wind pressure (kg/mm²)
Strength 3 (kg/mm ²) -- α Thermal expansion coefficient (ºC -1 )Longitudinal tension 3 (kg) -- Sag (m) --
Case 4 Ice + Wind Case 5 Minimum temp.b (m) -- b (m) 22,86P (kg) -- P (kg) 113,93Wconductor (kg) Wind -- Wconductor (kg) Wind 0,00Winsulator (kg) Wind -- Winsulator (kg) Wind 0,00Hconductor (kg) Ice -- K (kg/mm ²) 0,00186Hinsulator (kg) Ice -- K' (kg/mm ²) 0,00186K (kg/mm ²) -- A = 0,82K' (kg/mm ²) -- B = 7,31
A = -- C= 7,90
B = -- AxEsf2³+BxEsf2²-C=0. 0,00
C= -- Strength 5 (kg/mm ²) 0,99AxEsf2³+BxEsf2²-C=0. -- Longitudinal tension 5 (kg) 1 749,22Strength 4 (kg/mm ²) -- Sag (m) 0,54Longitudinal tension 4 (kg) -- Sag (m) -- % Sag : 1,79% Span
Case 6 Maximum temp. MECHANICAL LOADS SUMMMARY (Normal condition)b (m) 22,86P (kg) 113,93Wconductor (kg) Wind 0,00 V (kg) T (kg) L (kg)Winsulator (kg) Wind 0,00 Case 1 EDS 343,93 -- 1 602,54K (kg/mm ²) 0,00186 Case 2 Maximum wind 343,93 116,46 1 752,09K' (kg/mm ²) 0,00186 Case 3 Ice -- -- --
A = 0,82 Case 4 Ice + Wind -- -- --
B = 14,64 Case 5 Minimum temp. 343,93 -- 1 749,22
C= 7,90 Case 6 Maximum temp. 343,93 -- 1 277,16AxEsf2³+BxEsf2²-C=0. 0,00 343,93 116,46 1 752,09Strength 6 (kg/mm ²) 0,72 360 130 1 800Horizontal tension 6 (kg) 1 277,16Sag (m) 0,74 Font: Mundo Eléctrico / Esfuerzos en conductores
aereos de subestaciones/ by Herbert Hörügel.
% Sag : 2,45% Span V : Vertical Load
T : Transversal Tension
L : Longitudinal Tension
Vi Li Ti Tv Lv Ta La3,53 17,64 0,00 1,27 0,00 12,92 9,04
Where:
Vi : Vertical Load of conductors and string insulators per phase.
Li : Longitudinal tensing load of conductor.
Ti : Transversal tensing load of conductor.
Lv : Wind Longitudinal Load on conductors and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
Tv : Wind Transversal Load on conductor and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
La : Shortcircuit Longitudinal Load (value from Doc. K122-C2-EV-65-009).
Ta : Shortcircuit Transversal Load (value from Doc. K122-C2-EV-65-009).
DESIGN LOADING CHART
SPAN: 30 m
Normal condition Exceptional conditionDynamic forces (kN)Mechanical Loads, (kN)
Static tensions Wind forces Shortcircuit
ENVIRONMENTAL CONDITIONS Pressure constant
k = 0,613
Meters above sea level 3 000 m
Environment temperature Case 1 EDS 16,6 0,00 0,00 - Min. 0 °C Case 2 Maximum wind 10,0 49,03 0,00 - Max. 30 °C Case 3 Ice N/A N/A N/A
Wind speed 28 m/s Case 4 Ice + Wind N/A N/A N/A
Normal temperature (EDS) 16,6 °C Case 5 Minimum temp. 0,0 0,00 0,00
Case 6 Maximum temp. 75,0 0,00 0,00
CONDUCTOR ACAR N/A: Not applicable
This substation are located
Conductor Cross-section 507,70 mm² in 0 area, C zone according to
Diameter 29,26 mm Peruvian electrical code (CNE)
Weight 1,40 Kg/m Pv Wind pressure (kg/m²)
Rated breaking strength 11 449 Kg k Pressure constant
Final modulus of elasticity 6 047 Kg/mm² k = 0.613 for elevations up to 3000 masl
Thermal expansion coefficient 0,000023 1/°C k = 0.455 for elevations above 3000 masl
Maximum wind speed 28,00 m/s V Wind speed (m/s)
Average wind speed 16,80 m/s Sf Form factor (Sf=1 for conductors)
(See page number 212 of CNE)
INSULATOR STRING
Weight per insulator 10,00 kg Wr Conductor Wind Ice UnitsInsulator string weight 230,00 kg 1,40 1,396 0,00 0,000 kg/m (Case 1) 0,00
Insulator string lenght 3,57 m 2,00 1,396 1,435 0,000 kg/m (Case 2) 0,00
Number of insulators 20,00 u -- -- -- -- kg/m (Case 3) --
Insulator lenght 0,33 m -- -- -- -- kg/m (Case 4) --
Insulator height 0,17 m 1,40 1,396 0,00 0,000 kg/m (Case 5) 0,00
1,40 1,396 0,00 0,000 kg/m (Case 6) 0,00
Wr Resulting load (kg/m)
Wv Wind load (kg/m)
Wh Ice load (kg/m)
Pv Wind pressure (kg/m²)
Dc Conductor diameter (m)
Eh Ice tickness (m)
δ h Ice density (δ h = 913 kg/m³)
Span 65,00 m
% EDS 6,00 %
Tension EDS 686,94 kg
Stregth EDS 1,35 (Kg/mm²)
Case 1 EDSStrength 1 (kg/mm ²) 1,35Tension 1 (kg) 686,94Sag (m) 1,66
% Sag : 2,55% Span
Case 2 Maximum wind Weather Conditions Designsb (m) 57,86P (kg) 80,77Wconductor (kg) Wind 83,02Winsulator (kg) Wind 55,02K (kg/mm ²) 0,00789 Where:K' (kg/mm ²) 0,01020
A = 1,83
B = 43,55
C= 112,96 Sags EcuationAxEsf2³+BxEsf2²-C=0. 0,00Strength 2 (kg/mm ²) 1,56Longitudinal tension 2 (kg) 792,11Sag (m) 1,85 Where:
% Sag : 2,85% Span b Horizontal distance between strings ends (m).
220kV STEEL STRUCTURESACAR 1000kcmil - 65m
220kV CVPUE SUBSTATIONCALCULATION N° 2
STEEL STRUCTURES MECHANICAL LOADS ANALYSIS
Load Conditions (CASES)
Temp.°C
Wind pressure(Kg/m²)
Ice tickness(mm)
W Conductor (Unitary) W Unitary Iceon Insulator
σσσ ..8
)'.(.4.
..8
.).(
..2
'
A
PGaPb
A
PbPG
A
aff ba
++=++=+
22
22
'
11
21
.. θασσ
θασσ
−−=−−E
K
E
K
))'.(.6'..2..(..24
1 2222
PGaGaPbbA
K +++=
××=
2
2
801.9 m
kgSVkP f
V
+=m
kgEhDPW CVV )2(
[ ]
∂−+=m
kgDEhDW hCCh
22)2(4π
a’ Insulator string lenght (m).
Case 3 Ice d Conductor diameter (m).
b (m) -- f Sag (m).
P (kg) -- A Gauge conductor (mm²).Wconductor (kg) Wind -- θ Conductor temperature (ºC).
Winsulator (kg) Wind -- v Wind speed (km/h).
Hconductor (kg) Ice -- E Final modulus of elasticity (Kg/mm²).Hinsulator (kg) Ice -- T Conductor tension (kg).K (kg/mm ²) -- G Insulator string weight (kg).K' (kg/mm ²) -- L Span lenght (m).
A = -- P Conductor weight (kg).
B = -- R Tension resulting from vertical and horizontal strength (kg)
C= -- σ Conductor strength (kg/mm²).AxEsf2³+BxEsf2²-C=0. -- V Wind horizontal strength (kg).
Strength 3 (kg/mm ²) -- Pv Wind pressure (kg/mm²)
Longitudinal tension 3 (kg) -- α Thermal expansion coefficient (ºC -1 )Sag (m) --
Case 4 Ice + Wind Case 5 Minimum temp.b (m) -- b (m) 57,86P (kg) -- P (kg) 80,77Wconductor (kg) Wind -- Wconductor (kg) Wind 0,00Winsulator (kg) Wind -- Winsulator (kg) Wind 0,00Hconductor (kg) Ice -- K (kg/mm ²) 0,00789Hinsulator (kg) Ice -- K' (kg/mm ²) 0,00789K (kg/mm ²) -- A = 1,83K' (kg/mm ²) -- B = 41,00
A = -- C= 87,34
B = -- AxEsf2³+BxEsf2²-C=0. 0,00
C= -- Strength 5 (kg/mm ²) 1,42AxEsf2³+BxEsf2²-C=0. -- Longitudinal tension 5 (kg) 718,61Strength 4 (kg/mm ²) -- Sag (m) 1,58Longitudinal tension 4 (kg) -- Sag (m) -- % Sag : 2,44% Span
Case 6 Maximum temp. MECHANICAL LOADS SUMMMARY (Normal condition)b (m) 57,86P (kg) 80,77Wconductor (kg) Wind 0,00 V (kg) T (kg) L (kg)Winsulator (kg) Wind 0,00 Case 1 EDS 310,77 -- 686,94K (kg/mm ²) 0,00789 Case 2 Maximum wind 310,77 138,03 792,11K' (kg/mm ²) 0,00789 Case 3 Ice -- -- --
A = 1,83 Case 4 Ice + Wind -- -- --
B = 60,10 Case 5 Minimum temp. 310,77 -- 718,61
C= 87,34 Case 6 Maximum temp. 310,77 -- 601,28AxEsf2³+BxEsf2²-C=0. 0,00 310,77 138,03 792,11Strength 6 (kg/mm ²) 1,18 330 150 820Horizontal tension 6 (kg) 601,28Sag (m) 1,89 Source: Mundo Eléctrico / Esfuerzos en conductores
aereos de subestaciones/ by Herbert Hörügel.
% Sag : 2,91% Span V : Vertical Load
T : Transversal Tension
L : Longitudinal Tension
Vi Li Ti Tv Lv Ta La3,23 8,04 0,00 1,47 0,00 5,66 5,31
Where:
Vi : Vertical Load of conductors and string insulators per phase.
Li : Longitudinal tensing load of conductor.
Ti : Transversal tensing load of conductor.
Lv : Wind Longitudinal Load on conductors and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
Tv : Wind Transversal Load on conductor and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
La : Shortcircuit Longitudinal Load (value from Doc. K122-C2-EV-65-009).
Ta : Shortcircuit Transversal Load (value from Doc. K122-C2-EV-65-009).
SPAN: 65 m
DESIGN LOADING CHARTNormal condition Exceptional condition
Mechanical Loads, (kN) Dynamic forces (kN)Static tensions Wind forces Shortcircuit
ENVIRONMENTAL CONDITIONS Pressure constant
k = 0,613
Meters above sea level 3 000 m
Environment temperature Case 1 EDS 16,6 0,00 0,00 - Min. 0 °C Case 2 Maximum wind 10,0 49,03 0,00 - Max. 30 °C Case 3 Ice N/A N/A N/A
Wind speed 28 m/s Case 4 Ice + Wind N/A N/A N/A
Normal temperature (EDS) 16,6 °C Case 5 Minimum temp. 0,0 0,00 0,00
Case 6 Maximum temp. 75,0 0,00 0,00
CONDUCTOR ACAR N/A: Not applicable
This substation are located
Conductor Cross-section 354,00 mm² in 0 area, C zone according to
Diameter 24,43 mm Peruvian electrical code (CNE)
Weight 0,98 Kg/m Pv Wind pressure (kg/m²)
Rated breaking strength 8 128 Kg k Pressure constant
Final modulus of elasticity 6 047 Kg/mm² k = 0.613 for elevations up to 3000 masl
Thermal expansion coefficient 0,000023 1/°C k = 0.455 for elevations above 3000 masl
Maximum wind speed 28,00 m/s V Wind speed (m/s)
Average wind speed 16,80 m/s Sf Form factor (Sf=1 for conductors)
(See page number 212 of CNE)
INSULATOR STRING
Weight per insulator 10,00 kg Wr Conductor Wind Ice UnitsInsulator string weight 230,00 kg 0,98 0,978 0,00 0,000 kg/m (Case 1) 0,00
Insulator string lenght 3,57 m 1,55 0,978 1,198 0,000 kg/m (Case 2) 0,00
Number of insulators 20,00 u -- -- -- -- kg/m (Case 3) --
Insulator lenght 0,33 m -- -- -- -- kg/m (Case 4) --
Insulator height 0,17 m 0,98 0,978 0,00 0,000 kg/m (Case 5) 0,00
0,98 0,978 0,00 0,000 kg/m (Case 6) 0,00
Wr Resulting load (kg/m)
Wv Wind load (kg/m)
Wh Ice load (kg/m)
Pv Wind pressure (kg/m²)
Dc Conductor diameter (m)
Eh Ice tickness (m)
δ h Ice density (δ h = 913 kg/m³)
Span 65,00 m
% EDS 6,00 %
Tension EDS 487,68 kg
Stregth EDS 1,38 (Kg/mm²)
Case 1 EDSStrength 1 (kg/mm ²) 1,38Tension 1 (kg) 487,68Sag (m) 1,89
% Sag : 2,90% Span
Case 2 Maximum wind Weather Conditions Designsb (m) 57,86P (kg) 56,58Wconductor (kg) Wind 69,31Winsulator (kg) Wind 55,02K (kg/mm ²) 0,01334 Where:K' (kg/mm ²) 0,01697
A = 1,90
B = 76,34
C= 194,74 Sags EcuationAxEsf2³+BxEsf2²-C=0. 0,00Strength 2 (kg/mm ²) 1,57Longitudinal tension 2 (kg) 554,71Sag (m) 2,22 Where:
% Sag : 3,41% Span b Horizontal distance between strings ends (m).
ACAR 2x700kcmil - 65m
Temp.°C
Wind pressure(Kg/m²)
Ice tickness(mm)
W Conductor (Unitary) W Unitary Iceon Insulator
220kV CVPUE SUBSTATIONCALCULATION N° 3
STEEL STRUCTURES MECHANICAL LOADS ANALYSIS220kV STEEL STRUCTURES
Load Conditions (CASES)
σσσ ..8
)'.(.4.
..8
.).(
..2
'
A
PGaPb
A
PbPG
A
aff ba
++=++=+
22
22
'
11
21
.. θασσ
θασσ
−−=−−E
K
E
K
))'.(.6'..2..(..24
1 2222
PGaGaPbbA
K +++=
××=
2
2
801.9 m
kgSVkP f
V
+=m
kgEhDPW CVV )2(
[ ]
∂−+=m
kgDEhDW hCCh
22)2(4π
a’ Insulator string lenght (m).
Case 3 Ice d Conductor diameter (m).
b (m) -- f Sag (m).
P (kg) -- A Gauge conductor (mm²).Wconductor (kg) Wind -- θ Conductor temperature (ºC).
Winsulator (kg) Wind -- v Wind speed (km/h).
Hconductor (kg) Ice -- E Final modulus of elasticity (Kg/mm²).Hinsulator (kg) Ice -- T Conductor tension (kg).K (kg/mm ²) -- G Insulator string weight (kg).K' (kg/mm ²) -- L Span lenght (m).
A = -- P Conductor weight (kg).
B = -- R Tension resulting from vertical and horizontal strength (kg)
C= -- σ Conductor strength (kg/mm²).AxEsf2³+BxEsf2²-C=0. -- V Wind horizontal strength (kg).
Strength 3 (kg/mm ²) -- Pv Wind pressure (kg/mm²)
Longitudinal tension 3 (kg) -- α Thermal expansion coefficient (ºC -1 )Sag (m) --
Case 4 Ice + Wind Case 5 Minimum temp.b (m) -- b (m) 57,86P (kg) -- P (kg) 56,58Wconductor (kg) Wind -- Wconductor (kg) Wind 0,00Winsulator (kg) Wind -- Winsulator (kg) Wind 0,00Hconductor (kg) Ice -- K (kg/mm ²) 0,01334Hinsulator (kg) Ice -- K' (kg/mm ²) 0,01334K (kg/mm ²) -- A = 1,90K' (kg/mm ²) -- B = 73,70
A = -- C= 153,14
B = -- AxEsf2³+BxEsf2²-C=0. 0,00
C= -- Strength 5 (kg/mm ²) 1,42AxEsf2³+BxEsf2²-C=0. -- Longitudinal tension 5 (kg) 501,25Strength 4 (kg/mm ²) -- Sag (m) 1,84Longitudinal tension 4 (kg) -- Sag (m) -- % Sag : 2,83% Span
Case 6 Maximum temp. MECHANICAL LOADS SUMMMARY (Normal condition)b (m) 57,86P (kg) 56,58Wconductor (kg) Wind 0,00 V (kg) T (kg) L (kg)Winsulator (kg) Wind 0,00 Case 1 EDS 286,58 -- 487,68K (kg/mm ²) 0,01334 Case 2 Maximum wind 286,58 124,33 554,71K' (kg/mm ²) 0,01334 Case 3 Ice -- -- --
A = 1,90 Case 4 Ice + Wind -- -- --
B = 93,49 Case 5 Minimum temp. 286,58 -- 501,25
C= 153,14 Case 6 Maximum temp. 286,58 -- 447,36AxEsf2³+BxEsf2²-C=0. 0,00 286,58 124,33 554,71Strength 6 (kg/mm ²) 1,26 Dos Conductores por fase 600 270 1 200Horizontal tension 6 (kg) 447,36Sag (m) 2,06 Font: Mundo Eléctrico / Esfuerzos en conductores
aereos de subestaciones/ by Herbert Hörügel.
% Sag : 3,17% Span V : Vertical Load
T : Transversal Tension
L : Longitudinal Tension
Vi Li Ti Tv Lv Ta La5,88 11,76 0,00 2,65 0,00 6,52 4,97
Where:
Vi : Vertical Load of conductors and string insulators per phase.
Li : Longitudinal tensing load of conductor.
Ti : Transversal tensing load of conductor.
Lv : Wind Longitudinal Load on conductors and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
Tv : Wind Transversal Load on conductor and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
La : Shortcircuit Longitudinal Load (value from Doc. K122-C2-EV-65-009).
Ta : Shortcircuit Transversal Load (value from Doc. K122-C2-EV-65-009).
DESIGN LOADING CHARTExceptional condition
SPAN: 65 m
Normal conditionMechanical Loads, (kN) Dynamic forces (kN)
Wind forces ShortcircuitStatic tensions
ENVIRONMENTAL CONDITIONS Pressure constant
k = 0,613
Meters above sea level 3 000 m
Environment temperature Case 1 EDS 16,6 0,00 0,00 - Min. 0 °C Case 2 Maximum wind 10,0 49,03 0,00 - Max. 30 °C Case 3 Ice N/A N/A N/A
Wind speed 28 m/s Case 4 Ice + Wind N/A N/A N/A
Normal temperature (EDS) 16,6 °C Case 5 Minimum temp. 0,0 0,00 0,00
Case 6 Maximum temp. 75,0 0,00 0,00
CONDUCTOR ACAR N/A: Not applicable
This substation are located
Conductor Cross-section 557,00 mm² in 0 area, C zone according to
Diameter 30,65 mm Peruvian electrical code (CNE)
Weight 1,54 Kg/m Pv Wind pressure (kg/m²)
Rated breaking strength 12 543 Kg k Pressure constant
Final modulus of elasticity 6 047 Kg/mm² k = 0.613 for elevations up to 3000 masl
Thermal expansion coefficient 0,000023 1/°C k = 0.455 for elevations above 3000 masl
Maximum wind speed 28,00 m/s V Wind speed (m/s)
Average wind speed 16,80 m/s Sf Form factor (Sf=1 for conductors)
(See page number 212 of CNE)
INSULATOR STRING
Weight per insulator 10,00 kg Wr Conductor Wind Ice UnitsInsulator string weight 230,00 kg 1,54 1,540 0,00 0,000 kg/m (Case 1) 0,00
Insulator string lenght 3,57 m 2,15 1,540 1,503 0,000 kg/m (Case 2) 0,00
Number of insulators 20,00 u -- -- -- -- kg/m (Case 3) --
Insulator lenght 0,33 m -- -- -- -- kg/m (Case 4) --
Insulator height 0,17 m 1,54 1,540 0,00 0,000 kg/m (Case 5) 0,00
1,54 1,540 0,00 0,000 kg/m (Case 6) 0,00
Wr Resulting load (kg/m)
Wv Wind load (kg/m)
Wh Ice load (kg/m)
Pv Wind pressure (kg/m²)
Dc Conductor diameter (m)
Eh Ice tickness (m)
δ h Ice density (δ h = 913 kg/m³)
Span 65,00 m
% EDS 6,00 %
Tension EDS 752,58 kg
Stregth EDS 1,35 (Kg/mm²)
Case 1 EDSStrength 1 (kg/mm ²) 1,35Tension 1 (kg) 752,58Sag (m) 1,61
% Sag : 2,48% Span
Case 2 Maximum wind Weather Conditions Designsb (m) 57,86P (kg) 89,10Wconductor (kg) Wind 86,96Winsulator (kg) Wind 55,02K (kg/mm ²) 0,00701 Where:K' (kg/mm ²) 0,00907
A = 1,83
B = 38,22
C= 100,17 Sags EcuationAxEsf2³+BxEsf2²-C=0. 0,00Strength 2 (kg/mm ²) 1,56Longitudinal tension 2 (kg) 869,84Sag (m) 1,78 Where:
% Sag : 2,73% Span b Horizontal distance between strings ends (m).
ACAR 2x1100kcmil - 65m
Load Conditions (CASES)
Temp.°C
Wind pressure(Kg/m²)
Ice tickness(mm)
W Conductor (Unitary) W Unitary Iceon Insulator
220kV CVPUE SUBSTATIONCALCULATION N° 4
STEEL STRUCTURES MECHANICAL LOADS ANALYSIS220kV STEEL STRUCTURES
σσσ ..8
)'.(.4.
..8
.).(
..2
'
A
PGaPb
A
PbPG
A
aff ba
++=++=+
22
22
'
11
21
.. θασσ
θασσ
−−=−−E
K
E
K
))'.(.6'..2..(..24
1 2222
PGaGaPbbA
K +++=
××=
2
2
801.9 m
kgSVkP f
V
+=m
kgEhDPW CVV )2(
[ ]
∂−+=m
kgDEhDW hCCh
22)2(4π
a’ Insulator string lenght (m).
Case 3 Ice d Conductor diameter (m).
b (m) -- f Sag (m).
P (kg) -- A Gauge conductor (mm²).Wconductor (kg) Wind -- θ Conductor temperature (ºC).
Winsulator (kg) Wind -- v Wind speed (km/h).
Hconductor (kg) Ice -- E Final modulus of elasticity (Kg/mm²).Hinsulator (kg) Ice -- T Conductor tension (kg).K (kg/mm ²) -- G Insulator string weight (kg).K' (kg/mm ²) -- L Span lenght (m).
A = -- P Conductor weight (kg).
B = -- R Tension resulting from vertical and horizontal strength (kg)
C= -- σ Conductor strength (kg/mm²).AxEsf2³+BxEsf2²-C=0. -- V Wind horizontal strength (kg).
Strength 3 (kg/mm ²) -- Pv Wind pressure (kg/mm²)
Longitudinal tension 3 (kg) -- α Thermal expansion coefficient (ºC -1 )Sag (m) --
Case 4 Ice + Wind Case 5 Minimum temp.b (m) -- b (m) 57,86P (kg) -- P (kg) 89,10Wconductor (kg) Wind -- Wconductor (kg) Wind 0,00Winsulator (kg) Wind -- Winsulator (kg) Wind 0,00Hconductor (kg) Ice -- K (kg/mm ²) 0,00701Hinsulator (kg) Ice -- K' (kg/mm ²) 0,00701K (kg/mm ²) -- A = 1,83K' (kg/mm ²) -- B = 35,68
A = -- C= 77,34
B = -- AxEsf2³+BxEsf2²-C=0. 0,00
C= -- Strength 5 (kg/mm ²) 1,42AxEsf2³+BxEsf2²-C=0. -- Longitudinal tension 5 (kg) 791,73Strength 4 (kg/mm ²) -- Sag (m) 1,53Longitudinal tension 4 (kg) -- Sag (m) -- % Sag : 2,36% Span
Case 6 Maximum temp. MECHANICAL LOADS SUMMMARY (Normal condition)b (m) 57,86P (kg) 89,10Wconductor (kg) Wind 0,00 V (kg) T (kg) L (kg)Winsulator (kg) Wind 0,00 Case 1 EDS 319,10 -- 752,58K (kg/mm ²) 0,00701 Case 2 Maximum wind 319,10 141,98 869,84K' (kg/mm ²) 0,00701 Case 3 Ice -- -- --
A = 1,83 Case 4 Ice + Wind -- -- --
B = 54,72 Case 5 Minimum temp. 319,10 -- 791,73
C= 77,34 Case 6 Maximum temp. 319,10 -- 649,63AxEsf2³+BxEsf2²-C=0. 0,00 319,10 141,98 869,84Strength 6 (kg/mm ²) 1,17 Dos Conductores por fase 660 310 1 800Horizontal tension 6 (kg) 649,63Sag (m) 1,87 Font: Mundo Eléctrico / Esfuerzos en conductores
aereos de subestaciones/ by Herbert Hörügel.
% Sag : 2,88% Span V : Vertical Load
T : Transversal Tension
L : Longitudinal Tension
Vi Li Ti Tv Lv Ta La
6,47 17,64 0,00 3,04 0,00 6,98 4,85
Where:
Vi : Vertical Load of conductors and string insulators per phase.
Li : Longitudinal tensing load of conductor.
Ti : Transversal tensing load of conductor.
Lv : Wind Longitudinal Load on conductors and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
Tv : Wind Transversal Load on conductor and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
La : Shortcircuit Longitudinal Load (value from Doc. K122-C2-EV-65-009).
Ta : Shortcircuit Transversal Load (value from Doc. K122-C2-EV-65-009).
SPAN: 65 m
DESIGN LOADING CHARTNormal condition Exceptional condition
Mechanical Loads, (kN) Dynamic forces (kN)Static tensions Wind forces Shortcircuit
ENVIRONMENTAL CONDITIONS Pressure constant
k = 0,613
Meters above sea level 3 000 m
Environment temperature Case 1 EDS 16,6 0,00 0,00 - Min. 0 °C Case 2 Maximum wind 10,0 49,03 0,00 - Max. 30 °C Case 3 Ice N/A N/A N/A
Wind speed 28 m/s Case 4 Ice + Wind N/A N/A N/A
Normal temperature (EDS) 16,6 °C Case 5 Minimum temp. 0,0 0,00 0,00
Case 6 Maximum temp. 75,0 0,00 0,00
CONDUCTOR OPGW 48 FIBERS N/A: Not applicable
This substation are located
Conductor Cross-section 86,60 mm² in 0 area, C zone according to
Diameter 14,10 mm Peruvian electrical code (CNE)
Weight 0,70 Kg/m Pv Wind pressure (kg/m²)
Rated breaking strength 11 310 Kg k Pressure constant
Final modulus of elasticity 12 550 Kg/mm² k = 0.613 for elevations up to 3000 masl
Thermal expansion coefficient 0,000014 1/°C k = 0.455 for elevations above 3000 masl
Maximum wind speed 28,00 m/s V Wind speed (m/s)
Average wind speed 16,80 m/s Sf Form factor (Sf=1 for conductors)
(See page number 212 of CNE)
INSULATOR STRING
Weight per insulator 0,00 kg Wr Conductor Wind Ice UnitsInsulator string weight 0,00 kg 0,70 0,695 0,00 0,000 kg/m (Case 1) 0,00
Insulator string lenght 0,00 m 0,98 0,695 0,691 0,000 kg/m (Case 2) 0,00
Number of insulators 0,00 u -- -- -- -- kg/m (Case 3) --
Insulator lenght 0,00 m -- -- -- -- kg/m (Case 4) --
Insulator height 0,00 m 0,70 0,695 0,00 0,000 kg/m (Case 5) 0,00
0,70 0,695 0,00 0,000 kg/m (Case 6) 0,00
Wr Resulting load (kg/m)
Wv Wind load (kg/m)
Wh Ice load (kg/m)
Pv Wind pressure (kg/m²)
Dc Conductor diameter (m)
Eh Ice tickness (m)
δ h Ice density (δ h = 913 kg/m³)
Span 65,00 m
% EDS 5,00 %
Tension EDS 565,50 kg
Stregth EDS 6,53 (Kg/mm²)
Case 1 EDSStrength 1 (kg/mm ²) 6,53Tension 1 (kg) 565,50Sag (m) 0,65
% Sag : 1,00% Span
Case 2 Maximum wind Weather Conditions Designsb (m) 65,00P (kg) 45,18Wconductor (kg) Wind 44,94Winsulator (kg) Wind 0,00K (kg/mm ²) 0,01134 Where:K' (kg/mm ²) 0,02256
A = 42,64
B = -185,25
C= 12 072,54 Sags EcuationAxEsf2³+BxEsf2²-C=0. 0,00Strength 2 (kg/mm ²) 8,38Longitudinal tension 2 (kg) 725,53Sag (m) 0,71 Where:
% Sag : 1,10% Span b Horizontal distance between strings ends (m).
Load Conditions (CASES)
Temp.°C
Wind pressure(Kg/m²)
Ice tickness(mm)
W Conductor (Unitary) W Unitary Iceon Insulator
220kV CVPUE SUBSTATIONCALCULATION N° 5
STEEL STRUCTURES MECHANICAL LOADS ANALYSIS220kV STEEL STRUCTURES
OPGW 48 FIBERS - 65m
σσσ ..8
)'.(.4.
..8
.).(
..2
'
A
PGaPb
A
PbPG
A
aff ba
++=++=+
22
22
'
11
21
.. θασσ
θασσ
−−=−−E
K
E
K
))'.(.6'..2..(..24
1 2222
PGaGaPbbA
K +++=
××=
2
2
801.9 m
kgSVkP f
V
+=m
kgEhDPW CVV )2(
[ ]
∂−+=m
kgDEhDW hCCh
22)2(4π
a’ Insulator string lenght (m).
Case 3 Ice d Conductor diameter (m).
b (m) -- f Sag (m).
P (kg) -- A Gauge conductor (mm²).Wconductor (kg) Wind -- θ Conductor temperature (ºC).
Winsulator (kg) Wind -- v Wind speed (km/h).
Hconductor (kg) Ice -- E Final modulus of elasticity (Kg/mm²).Hinsulator (kg) Ice -- T Conductor tension (kg).K (kg/mm ²) -- G Insulator string weight (kg).K' (kg/mm ²) -- L Span lenght (m).
A = -- P Conductor weight (kg).
B = -- R Tension resulting from vertical and horizontal strength (kg)
C= -- σ Conductor strength (kg/mm²).AxEsf2³+BxEsf2²-C=0. -- V Wind horizontal strength (kg).
Strength 3 (kg/mm ²) -- Pv Wind pressure (kg/mm²)
Longitudinal tension 3 (kg) -- α Thermal expansion coefficient (ºC -1 )Sag (m) --
Case 4 Ice + Wind Case 5 Minimum temp.b (m) -- b (m) 65,00P (kg) -- P (kg) 45,18Wconductor (kg) Wind -- Wconductor (kg) Wind 0,00Winsulator (kg) Wind -- Winsulator (kg) Wind 0,00Hconductor (kg) Ice -- K (kg/mm ²) 0,01134Hinsulator (kg) Ice -- K' (kg/mm ²) 0,01134K (kg/mm ²) -- A = 42,64K' (kg/mm ²) -- B = -259,63
A = -- C= 6 067,68
B = -- AxEsf2³+BxEsf2²-C=0. 0,00
C= -- Strength 5 (kg/mm ²) 8,20AxEsf2³+BxEsf2²-C=0. -- Longitudinal tension 5 (kg) 710,41Strength 4 (kg/mm ²) -- Sag (m) 0,52Longitudinal tension 4 (kg) -- Sag (m) -- % Sag : 0,79% Span
Case 6 Maximum temp. MECHANICAL LOADS SUMMMARY (Normal condition)b (m) 65,00P (kg) 45,18Wconductor (kg) Wind 0,00 V (kg) T (kg) L (kg)Winsulator (kg) Wind 0,00 Case 1 EDS 45,18 -- 565,50K (kg/mm ²) 0,01134 Case 2 Maximum wind 45,18 44,94 725,53K' (kg/mm ²) 0,01134 Case 3 Ice -- -- --
A = 42,64 Case 4 Ice + Wind -- -- --
B = 298,26 Case 5 Minimum temp. 45,18 -- 710,41
C= 6 067,68 Case 6 Maximum temp. 45,18 -- 316,55AxEsf2³+BxEsf2²-C=0. 0,00 45,18 44,94 725,53Strength 6 (kg/mm ²) 3,66 50 50 750Horizontal tension 6 (kg) 316,55Sag (m) 1,16 Font: Mundo Eléctrico / Esfuerzos en conductores
aereos de subestaciones/ by Herbert Hörügel.
% Sag : 1,78% Span V : Vertical Load
T : Transversal Tension
L : Longitudinal Tension
Vi Li Ti Tv Lv Ta La
0,49 7,35 0,00 0,49 0,00 4,54 3,41
Where:
Vi : Vertical Load of conductors and string insulators per phase.
Li : Longitudinal tensing load of conductor.
Ti : Transversal tensing load of conductor.
Lv : Wind Longitudinal Load on conductors and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
Tv : Wind Transversal Load on conductor and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
La : Shortcircuit Longitudinal Load (value from Doc. K122-C2-EV-65-009).
Ta : Shortcircuit Transversal Load (value from Doc. K122-C2-EV-65-009).
DESIGN LOADING CHARTExceptional condition
SPAN: 65 m
Normal conditionMechanical Loads, (kN) Dynamic forces (kN)
Static tensions ShortcircuitWind forces
ENVIRONMENTAL CONDITIONS Pressure constant
k = 0,613
Meters above sea level 3 000 m
Environment temperature Case 1 EDS 16,6 0,00 0,00 - Min. 0 °C Case 2 Maximum wind 10,0 49,03 0,00 - Max. 30 °C Case 3 Ice N/A N/A N/A
Wind speed 28 m/s Case 4 Ice + Wind N/A N/A N/A
Normal temperature (EDS) 16,6 °C Case 5 Minimum temp. 0,0 0,00 0,00
Case 6 Maximum temp. 75,0 0,00 0,00
CONDUCTOR ALLUMOWELD 7 No. 8 N/A: Not applicable
This substation are located
Conductor Cross-section 58,56 mm² in 0 area, C zone according to
Diameter 9,78 mm Peruvian electrical code (CNE)
Weight 0,39 Kg/m Pv Wind pressure (kg/m²)
Rated breaking strength 7 226 Kg k Pressure constant
Final modulus of elasticity 16 200 Kg/mm² k = 0.613 for elevations up to 3000 masl
Thermal expansion coefficient 0,000013 1/°C k = 0.455 for elevations above 3000 masl
Maximum wind speed 28,00 m/s V Wind speed (m/s)
Average wind speed 16,80 m/s Sf Form factor (Sf=1 for conductors)
(See page number 212 of CNE)
INSULATOR STRING
Weight per insulator 0,00 kg Wr Conductor Wind Ice UnitsInsulator string weight 0,00 kg 0,39 0,390 0,00 0,000 kg/m (Case 1) 0,00
Insulator string lenght 0,00 m 0,62 0,390 0,480 0,000 kg/m (Case 2) 0,00
Number of insulators 0,00 u -- -- -- -- kg/m (Case 3) --
Insulator lenght 0,00 m -- -- -- -- kg/m (Case 4) --
Insulator height 0,00 m 0,39 0,390 0,00 0,000 kg/m (Case 5) 0,00
0,39 0,390 0,00 0,000 kg/m (Case 6) 0,00
Wr Resulting load (kg/m)
Wv Wind load (kg/m)
Wh Ice load (kg/m)
Pv Wind pressure (kg/m²)
Dc Conductor diameter (m)
Eh Ice tickness (m)
δ h Ice density (δ h = 913 kg/m³)
Span 20,00 m
% EDS 5,00 %
Tension EDS 361,30 kg
Stregth EDS 6,17 (Kg/mm²)
Case 1 EDSStrength 1 (kg/mm ²) 6,17Tension 1 (kg) 361,30Sag (m) 0,05
% Sag : 0,27% Span
Case 2 Maximum wind Weather Conditions Designsb (m) 20,00P (kg) 7,79Wconductor (kg) Wind 9,59Winsulator (kg) Wind 0,00K (kg/mm ²) 0,00074 Where:K' (kg/mm ²) 0,00186
A = 38,07
B = -275,81
C= 1 144,18 Sags EcuationAxEsf2³+BxEsf2²-C=0. 0,00Strength 2 (kg/mm ²) 7,75Longitudinal tension 2 (kg) 453,64Sag (m) 0,07 Where:
% Sag : 0,34% Span b Horizontal distance between strings ends (m).
220kV STEEL STRUCTURESALLUMOWELD 7 No. 8 - 20m
220kV CVPUE SUBSTATIONCALCULATION N° 6
STEEL STRUCTURES MECHANICAL LOADS ANALYSIS
Load Conditions (CASES)
Temp.°C
Wind pressure(Kg/m²)
Ice tickness(mm)
W Conductor (Unitary) W Unitary Iceon Insulator
σσσ ..8
)'.(.4.
..8
.).(
..2
'
A
PGaPb
A
PbPG
A
aff ba
++=++=+
22
22
'
11
21
.. θασσ
θασσ
−−=−−E
K
E
K
))'.(.6'..2..(..24
1 2222
PGaGaPbbA
K +++=
××=
2
2
801.9 m
kgSVkP f
V
+=m
kgEhDPW CVV )2(
[ ]
∂−+=m
kgDEhDW hCCh
22)2(4π
a’ Insulator string lenght (m).
Case 3 Ice d Conductor diameter (m).
b (m) -- f Sag (m).
P (kg) -- A Gauge conductor (mm²).Wconductor (kg) Wind -- θ Conductor temperature (ºC).
Winsulator (kg) Wind -- v Wind speed (km/h).
Hconductor (kg) Ice -- E Final modulus of elasticity (Kg/mm²).Hinsulator (kg) Ice -- T Conductor tension (kg).K (kg/mm ²) -- G Insulator string weight (kg).K' (kg/mm ²) -- L Span lenght (m).
A = -- P Conductor weight (kg).
B = -- R Tension resulting from vertical and horizontal strength (kg)
C= -- σ Conductor strength (kg/mm²).AxEsf2³+BxEsf2²-C=0. -- V Wind horizontal strength (kg).
Strength 3 (kg/mm ²) -- Pv Wind pressure (kg/mm²)
Longitudinal tension 3 (kg) -- α Thermal expansion coefficient (ºC -1 )Sag (m) --
Case 4 Ice + Wind Case 5 Minimum temp.b (m) -- b (m) 20,00P (kg) -- P (kg) 7,79Wconductor (kg) Wind -- Wconductor (kg) Wind 0,00Winsulator (kg) Wind -- Winsulator (kg) Wind 0,00Hconductor (kg) Ice -- K (kg/mm ²) 0,00074Hinsulator (kg) Ice -- K' (kg/mm ²) 0,00074K (kg/mm ²) -- A = 38,07K' (kg/mm ²) -- B = -355,98
A = -- C= 454,92
B = -- AxEsf2³+BxEsf2²-C=0. 0,00
C= -- Strength 5 (kg/mm ²) 9,48AxEsf2³+BxEsf2²-C=0. -- Longitudinal tension 5 (kg) 555,42Strength 4 (kg/mm ²) -- Sag (m) 0,04Longitudinal tension 4 (kg) -- Sag (m) -- % Sag : 0,18% Span
Case 6 Maximum temp. MECHANICAL LOADS SUMMMARY (Normal condition)b (m) 20,00P (kg) 7,79Wconductor (kg) Wind 0,00 V (kg) T (kg) L (kg)Winsulator (kg) Wind 0,00 Case 1 EDS 7,79 -- 361,30K (kg/mm ²) 0,00074 Case 2 Maximum wind 7,79 9,59 453,64K' (kg/mm ²) 0,00074 Case 3 Ice -- -- --
A = 38,07 Case 4 Ice + Wind -- -- --
B = 245,27 Case 5 Minimum temp. 7,79 -- 555,42
C= 454,92 Case 6 Maximum temp. 7,79 -- 73,00AxEsf2³+BxEsf2²-C=0. 0,00 7,79 9,59 555,42Strength 6 (kg/mm ²) 1,25 20 20 570Horizontal tension 6 (kg) 73,00Sag (m) 0,27 Font: Mundo Eléctrico / Esfuerzos en conductores
aereos de subestaciones/ by Herbert Hörügel.
% Sag : 1,33% Span V : Vertical Load
T : Transversal Tension
L : Longitudinal Tension
Vi Li Ti Tv Lv Ta La0,20 5,59 0,00 0,20 0,00 2,93 2,02
Where:
Vi : Vertical Load of conductors and string insulators per phase.
Li : Longitudinal tensing load of conductor.
Ti : Transversal tensing load of conductor.
Lv : Wind Longitudinal Load on conductors and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
Tv : Wind Transversal Load on conductor and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
La : Shortcircuit Longitudinal Load (value from Doc. K122-C2-EV-65-009).
Ta : Shortcircuit Transversal Load (value from Doc. K122-C2-EV-65-009).
SPAN: 20 m
DESIGN LOADING CHARTNormal condition Exceptional condition
Mechanical Loads, (kN) Dynamic forces (kN)Static tensions Wind forces Shortcircuit
ENVIRONMENTAL CONDITIONS Pressure constant
k = 0,613
Meters above sea level 3 000 m
Environment temperature Case 1 EDS 16,6 0,00 0,00 - Min. 0 °C Case 2 Maximum wind 10,0 49,03 0,00 - Max. 30 °C Case 3 Ice N/A N/A N/A
Wind speed 28 m/s Case 4 Ice + Wind N/A N/A N/A
Normal temperature (EDS) 16,6 °C Case 5 Minimum temp. 0,0 0,00 0,00
Case 6 Maximum temp. 75,0 0,00 0,00
CONDUCTOR ALLUMOWELD 7 No. 8 N/A: Not applicable
This substation are located
Conductor Cross-section 58,56 mm² in 0 area, C zone according to
Diameter 9,78 mm Peruvian electrical code (CNE)
Weight 0,39 Kg/m Pv Wind pressure (kg/m²)
Rated breaking strength 7 226 Kg k Pressure constant
Final modulus of elasticity 16 200 Kg/mm² k = 0.613 for elevations up to 3000 masl
Thermal expansion coefficient 0,000013 1/°C k = 0.455 for elevations above 3000 masl
Maximum wind speed 28,00 m/s V Wind speed (m/s)
Average wind speed 16,80 m/s Sf Form factor (Sf=1 for conductors)
(See page number 212 of CNE)
INSULATOR STRING
Weight per insulator 0,00 kg Wr Conductor Wind Ice UnitsInsulator string weight 0,00 kg 0,39 0,390 0,00 0,000 kg/m (Case 1) 0,00
Insulator string lenght 0,00 m 0,62 0,390 0,480 0,000 kg/m (Case 2) 0,00
Number of insulators 0,00 u -- -- -- -- kg/m (Case 3) --
Insulator lenght 0,00 m -- -- -- -- kg/m (Case 4) --
Insulator height 0,00 m 0,39 0,390 0,00 0,000 kg/m (Case 5) 0,00
0,39 0,390 0,00 0,000 kg/m (Case 6) 0,00
Wr Resulting load (kg/m)
Wv Wind load (kg/m)
Wh Ice load (kg/m)
Pv Wind pressure (kg/m²)
Dc Conductor diameter (m)
Eh Ice tickness (m)
δ h Ice density (δ h = 913 kg/m³)
Span 30,00 m
% EDS 5,00 %
Tension EDS 361,30 kg
Stregth EDS 6,17 (Kg/mm²)
Case 1 EDSStrength 1 (kg/mm ²) 6,17Tension 1 (kg) 361,30Sag (m) 0,12
% Sag : 0,40% Span
Case 2 Maximum wind Weather Conditions Designsb (m) 30,00P (kg) 11,69Wconductor (kg) Wind 14,39Winsulator (kg) Wind 0,00K (kg/mm ²) 0,00166 Where:K' (kg/mm ²) 0,00417
A = 38,07
B = -260,88
C= 2 574,41 Sags EcuationAxEsf2³+BxEsf2²-C=0. 0,00Strength 2 (kg/mm ²) 7,93Longitudinal tension 2 (kg) 464,32Sag (m) 0,15 Where:
% Sag : 0,50% Span b Horizontal distance between strings ends (m).
ALLUMOWELD 7 No. 8 - 30m
Load Conditions (CASES)
Temp.°C
Wind pressure(Kg/m²)
Ice tickness(mm)
W Conductor (Unitary) W Unitary Iceon Insulator
220kV CVPUE SUBSTATIONCALCULATION N° 7
STEEL STRUCTURES MECHANICAL LOADS ANALYSIS220kV STEEL STRUCTURES
σσσ ..8
)'.(.4.
..8
.).(
..2
'
A
PGaPb
A
PbPG
A
aff ba
++=++=+
22
22
'
11
21
.. θασσ
θασσ
−−=−−E
K
E
K
))'.(.6'..2..(..24
1 2222
PGaGaPbbA
K +++=
××=
2
2
801.9 m
kgSVkP f
V
+=m
kgEhDPW CVV )2(
[ ]
∂−+=m
kgDEhDW hCCh
22)2(4π
a’ Insulator string lenght (m).
Case 3 Ice d Conductor diameter (m).
b (m) -- f Sag (m).
P (kg) -- A Gauge conductor (mm²).Wconductor (kg) Wind -- θ Conductor temperature (ºC).
Winsulator (kg) Wind -- v Wind speed (km/h).
Hconductor (kg) Ice -- E Final modulus of elasticity (Kg/mm²).Hinsulator (kg) Ice -- T Conductor tension (kg).K (kg/mm ²) -- G Insulator string weight (kg).K' (kg/mm ²) -- L Span lenght (m).
A = -- P Conductor weight (kg).
B = -- R Tension resulting from vertical and horizontal strength (kg)
C= -- σ Conductor strength (kg/mm²).AxEsf2³+BxEsf2²-C=0. -- V Wind horizontal strength (kg).
Strength 3 (kg/mm ²) -- Pv Wind pressure (kg/mm²)
Longitudinal tension 3 (kg) -- α Thermal expansion coefficient (ºC -1 )Sag (m) --
Case 4 Ice + Wind Case 5 Minimum temp.b (m) -- b (m) 30,00P (kg) -- P (kg) 11,69Wconductor (kg) Wind -- Wconductor (kg) Wind 0,00Winsulator (kg) Wind -- Winsulator (kg) Wind 0,00Hconductor (kg) Ice -- K (kg/mm ²) 0,00166Hinsulator (kg) Ice -- K' (kg/mm ²) 0,00166K (kg/mm ²) -- A = 38,07K' (kg/mm ²) -- B = -341,04
A = -- C= 1 023,57
B = -- AxEsf2³+BxEsf2²-C=0. 0,00
C= -- Strength 5 (kg/mm ²) 9,27AxEsf2³+BxEsf2²-C=0. -- Longitudinal tension 5 (kg) 542,97Strength 4 (kg/mm ²) -- Sag (m) 0,08Longitudinal tension 4 (kg) -- Sag (m) -- % Sag : 0,27% Span
Case 6 Maximum temp. MECHANICAL LOADS SUMMMARY (Normal condition)b (m) 30,00P (kg) 11,69Wconductor (kg) Wind 0,00 V (kg) T (kg) L (kg)Winsulator (kg) Wind 0,00 Case 1 EDS 11,69 -- 361,30K (kg/mm ²) 0,00166 Case 2 Maximum wind 11,69 14,39 464,32K' (kg/mm ²) 0,00166 Case 3 Ice -- -- --
A = 38,07 Case 4 Ice + Wind -- -- --
B = 260,21 Case 5 Minimum temp. 11,69 -- 542,97
C= 1 023,57 Case 6 Maximum temp. 11,69 -- 103,53AxEsf2³+BxEsf2²-C=0. 0,00 11,69 14,39 542,97Strength 6 (kg/mm ²) 1,77 30 30 560Horizontal tension 6 (kg) 103,53Sag (m) 0,42 Font: Mundo Eléctrico / Esfuerzos en conductores
aereos de subestaciones/ by Herbert Hörügel.
% Sag : 1,41% Span V : Vertical Load
T : Transversal Tension
L : Longitudinal Tension
Vi Li Ti Tv Lv Ta La0,29 5,49 0,00 0,29 0,00 2,96 2,04
Where:
Vi : Vertical Load of conductors and string insulators per phase.
Li : Longitudinal tensing load of conductor.
Ti : Transversal tensing load of conductor.
Lv : Wind Longitudinal Load on conductors and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
Tv : Wind Transversal Load on conductor and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
La : Shortcircuit Longitudinal Load (value from Doc. K122-C2-EV-65-009).
Ta : Shortcircuit Transversal Load (value from Doc. K122-C2-EV-65-009).
Static tensions Wind forces Shortcircuit
SPAN: 30 m
DESIGN LOADING CHARTNormal condition Exceptional condition
Mechanical Loads, (kN) Dynamic forces (kN)
ENVIRONMENTAL CONDITIONS Pressure constant
k = 0,613
Meters above sea level 3 000 m
Environment temperature Case 1 EDS 16,6 0,00 0,00 - Min. 0 °C Case 2 Maximum wind 10,0 49,03 0,00 - Max. 30 °C Case 3 Ice N/A N/A N/A
Wind speed 28 m/s Case 4 Ice + Wind N/A N/A N/A
Normal temperature (EDS) 16,6 °C Case 5 Minimum temp. 0,0 0,00 0,00
Case 6 Maximum temp. 75,0 0,00 0,00
CONDUCTOR ALLUMOWELD 7 No. 8 N/A: Not applicable
This substation are located
Conductor Cross-section 58,56 mm² in 0 area, C zone according to
Diameter 9,78 mm Peruvian electrical code (CNE)
Weight 0,39 Kg/m Pv Wind pressure (kg/m²)
Rated breaking strength 7 226 Kg k Pressure constant
Final modulus of elasticity 16 200 Kg/mm² k = 0.613 for elevations up to 3000 masl
Thermal expansion coefficient 0,000013 1/°C k = 0.455 for elevations above 3000 masl
Maximum wind speed 28,00 m/s V Wind speed (m/s)
Average wind speed 16,80 m/s Sf Form factor (Sf=1 for conductors)
(See page number 212 of CNE)
INSULATOR STRING
Weight per insulator 0,00 kg Wr Conductor Wind Ice UnitsInsulator string weight 0,00 kg 0,39 0,390 0,00 0,000 kg/m (Case 1) 0,00
Insulator string lenght 0,00 m 0,62 0,390 0,480 0,000 kg/m (Case 2) 0,00
Number of insulators 0,00 u -- -- -- -- kg/m (Case 3) --
Insulator lenght 0,00 m -- -- -- -- kg/m (Case 4) --
Insulator height 0,00 m 0,39 0,390 0,00 0,000 kg/m (Case 5) 0,00
0,39 0,390 0,00 0,000 kg/m (Case 6) 0,00
Wr Resulting load (kg/m)
Wv Wind load (kg/m)
Wh Ice load (kg/m)
Pv Wind pressure (kg/m²)
Dc Conductor diameter (m)
Eh Ice tickness (m)
δ h Ice density (δ h = 913 kg/m³)
Span 32,00 m
% EDS 5,00 %
Tension EDS 361,30 kg
Stregth EDS 6,17 (Kg/mm²)
Case 1 EDSStrength 1 (kg/mm ²) 6,17Tension 1 (kg) 361,30Sag (m) 0,14
% Sag : 0,43% Span
Case 2 Maximum wind Weather Conditions Designsb (m) 32,00P (kg) 12,47Wconductor (kg) Wind 15,35Winsulator (kg) Wind 0,00K (kg/mm ²) 0,00189 Where:K' (kg/mm ²) 0,00475
A = 38,07
B = -257,17
C= 2 929,11 Sags EcuationAxEsf2³+BxEsf2²-C=0. 0,00Strength 2 (kg/mm ²) 7,97Longitudinal tension 2 (kg) 466,61Sag (m) 0,17 Where:
% Sag : 0,53% Span b Horizontal distance between strings ends (m).
ALLUMOWELD 7 No. 8 - 32m
Load Conditions (CASES)
Temp.°C
Wind pressure(Kg/m²)
Ice tickness(mm)
W Conductor (Unitary) W Unitary Iceon Insulator
220kV CVPUE SUBSTATIONCALCULATION N° 8
STEEL STRUCTURES MECHANICAL LOADS ANALYSIS220kV STEEL STRUCTURES
σσσ ..8
)'.(.4.
..8
.).(
..2
'
A
PGaPb
A
PbPG
A
aff ba
++=++=+
22
22
'
11
21
.. θασσ
θασσ
−−=−−E
K
E
K
))'.(.6'..2..(..24
1 2222
PGaGaPbbA
K +++=
××=
2
2
801.9 m
kgSVkP f
V
+=m
kgEhDPW CVV )2(
[ ]
∂−+=m
kgDEhDW hCCh
22)2(4π
a’ Insulator string lenght (m).
Case 3 Ice d Conductor diameter (m).
b (m) -- f Sag (m).
P (kg) -- A Gauge conductor (mm²).Wconductor (kg) Wind -- θ Conductor temperature (ºC).
Winsulator (kg) Wind -- v Wind speed (km/h).
Hconductor (kg) Ice -- E Final modulus of elasticity (Kg/mm²).Hinsulator (kg) Ice -- T Conductor tension (kg).K (kg/mm ²) -- G Insulator string weight (kg).K' (kg/mm ²) -- L Span lenght (m).
A = -- P Conductor weight (kg).
B = -- R Tension resulting from vertical and horizontal strength (kg)
C= -- σ Conductor strength (kg/mm²).AxEsf2³+BxEsf2²-C=0. -- V Wind horizontal strength (kg).
Strength 3 (kg/mm ²) -- Pv Wind pressure (kg/mm²)
Longitudinal tension 3 (kg) -- α Thermal expansion coefficient (ºC -1 )Sag (m) --
Case 4 Ice + Wind Case 5 Minimum temp.b (m) -- b (m) 32,00P (kg) -- P (kg) 12,47Wconductor (kg) Wind -- Wconductor (kg) Wind 0,00Winsulator (kg) Wind -- Winsulator (kg) Wind 0,00Hconductor (kg) Ice -- K (kg/mm ²) 0,00189Hinsulator (kg) Ice -- K' (kg/mm ²) 0,00189K (kg/mm ²) -- A = 38,07K' (kg/mm ²) -- B = -337,34
A = -- C= 1 164,59
B = -- AxEsf2³+BxEsf2²-C=0. 0,00
C= -- Strength 5 (kg/mm ²) 9,22AxEsf2³+BxEsf2²-C=0. -- Longitudinal tension 5 (kg) 540,03Strength 4 (kg/mm ²) -- Sag (m) 0,09Longitudinal tension 4 (kg) -- Sag (m) -- % Sag : 0,29% Span
Case 6 Maximum temp. MECHANICAL LOADS SUMMMARY (Normal condition)b (m) 32,00P (kg) 12,47Wconductor (kg) Wind 0,00 V (kg) T (kg) L (kg)Winsulator (kg) Wind 0,00 Case 1 EDS 12,47 -- 361,30K (kg/mm ²) 0,00189 Case 2 Maximum wind 12,47 15,35 466,61K' (kg/mm ²) 0,00189 Case 3 Ice -- -- --
A = 38,07 Case 4 Ice + Wind -- -- --
B = 263,91 Case 5 Minimum temp. 12,47 -- 540,03
C= 1 164,59 Case 6 Maximum temp. 12,47 -- 109,20AxEsf2³+BxEsf2²-C=0. 0,00 12,47 15,35 540,03Strength 6 (kg/mm ²) 1,86 30 30 560Horizontal tension 6 (kg) 109,20Sag (m) 0,46 Font: Mundo Eléctrico / Esfuerzos en conductores
aereos de subestaciones/ by Herbert Hörügel.
% Sag : 1,43% Span V : Vertical Load
T : Transversal Tension
L : Longitudinal Tension
Vi Li Ti Tv Lv Ta La0,29 5,49 0,00 0,29 0,00 2,97 2,05
Where:
Vi : Vertical Load of conductors and string insulators per phase.
Li : Longitudinal tensing load of conductor.
Ti : Transversal tensing load of conductor.
Lv : Wind Longitudinal Load on conductors and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
Tv : Wind Transversal Load on conductor and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
La : Shortcircuit Longitudinal Load (value from Doc. K122-C2-EV-65-009).
Ta : Shortcircuit Transversal Load (value from Doc. K122-C2-EV-65-009).
Static tensions Wind forces Shortcircuit
SPAN: 32 m
DESIGN LOADING CHARTNormal condition Exceptional condition
Mechanical Loads, (kN) Dynamic forces (kN)
ENVIRONMENTAL CONDITIONS Pressure constant
k = 0,613
Meters above sea level 3 000 m
Environment temperature Case 1 EDS 16,6 0,00 0,00 - Min. 0 °C Case 2 Maximum wind 10,0 49,03 0,00 - Max. 30 °C Case 3 Ice N/A N/A N/A
Wind speed 28 m/s Case 4 Ice + Wind N/A N/A N/A
Normal temperature (EDS) 16,6 °C Case 5 Minimum temp. 0,0 0,00 0,00
Case 6 Maximum temp. 75,0 0,00 0,00
CONDUCTOR ALLUMOWELD 7 No. 8 N/A: Not applicable
This substation are located
Conductor Cross-section 58,56 mm² in 0 area, C zone according to
Diameter 9,78 mm Peruvian electrical code (CNE)
Weight 0,39 Kg/m Pv Wind pressure (kg/m²)
Rated breaking strength 7 226 Kg k Pressure constant
Final modulus of elasticity 16 200 Kg/mm² k = 0.613 for elevations up to 3000 masl
Thermal expansion coefficient 0,000013 1/°C k = 0.455 for elevations above 3000 masl
Maximum wind speed 28,00 m/s V Wind speed (m/s)
Average wind speed 16,80 m/s Sf Form factor (Sf=1 for conductors)
(See page number 212 of CNE)
INSULATOR STRING
Weight per insulator 0,00 kg Wr Conductor Wind Ice UnitsInsulator string weight 0,00 kg 0,39 0,390 0,00 0,000 kg/m (Case 1) 0,00
Insulator string lenght 0,00 m 0,62 0,390 0,480 0,000 kg/m (Case 2) 0,00
Number of insulators 0,00 u -- -- -- -- kg/m (Case 3) --
Insulator lenght 0,00 m -- -- -- -- kg/m (Case 4) --
Insulator height 0,00 m 0,39 0,390 0,00 0,000 kg/m (Case 5) 0,00
0,39 0,390 0,00 0,000 kg/m (Case 6) 0,00
Wr Resulting load (kg/m)
Wv Wind load (kg/m)
Wh Ice load (kg/m)
Pv Wind pressure (kg/m²)
Dc Conductor diameter (m)
Eh Ice tickness (m)
δ h Ice density (δ h = 913 kg/m³)
Span 36,00 m
% EDS 5,00 %
Tension EDS 361,30 kg
Stregth EDS 6,17 (Kg/mm²)
Case 1 EDSStrength 1 (kg/mm ²) 6,17Tension 1 (kg) 361,30Sag (m) 0,17
% Sag : 0,49% Span
Case 2 Maximum wind Weather Conditions Designsb (m) 36,00P (kg) 14,03Wconductor (kg) Wind 17,26Winsulator (kg) Wind 0,00K (kg/mm ²) 0,00239 Where:K' (kg/mm ²) 0,00601
A = 38,07
B = -249,04
C= 3 707,15 Sags EcuationAxEsf2³+BxEsf2²-C=0. 0,00Strength 2 (kg/mm ²) 8,05Longitudinal tension 2 (kg) 471,21Sag (m) 0,21 Where:
% Sag : 0,59% Span b Horizontal distance between strings ends (m).
ALLUMOWELD 7 No. 8 - 36m
Load Conditions (CASES)
Temp.°C
Wind pressure(Kg/m²)
Ice tickness(mm)
W Conductor (Unitary) W Unitary Iceon Insulator
220kV CVPUE SUBSTATIONCALCULATION N° 9
STEEL STRUCTURES MECHANICAL LOADS ANALYSIS220kV STEEL STRUCTURES
σσσ ..8
)'.(.4.
..8
.).(
..2
'
A
PGaPb
A
PbPG
A
aff ba
++=++=+
22
22
'
11
21
.. θασσ
θασσ
−−=−−E
K
E
K
))'.(.6'..2..(..24
1 2222
PGaGaPbbA
K +++=
××=
2
2
801.9 m
kgSVkP f
V
+=m
kgEhDPW CVV )2(
[ ]
∂−+=m
kgDEhDW hCCh
22)2(4π
a’ Insulator string lenght (m).
Case 3 Ice d Conductor diameter (m).
b (m) -- f Sag (m).
P (kg) -- A Gauge conductor (mm²).Wconductor (kg) Wind -- θ Conductor temperature (ºC).
Winsulator (kg) Wind -- v Wind speed (km/h).
Hconductor (kg) Ice -- E Final modulus of elasticity (Kg/mm²).Hinsulator (kg) Ice -- T Conductor tension (kg).K (kg/mm ²) -- G Insulator string weight (kg).K' (kg/mm ²) -- L Span lenght (m).
A = -- P Conductor weight (kg).
B = -- R Tension resulting from vertical and horizontal strength (kg)
C= -- σ Conductor strength (kg/mm²).AxEsf2³+BxEsf2²-C=0. -- V Wind horizontal strength (kg).
Strength 3 (kg/mm ²) -- Pv Wind pressure (kg/mm²)
Longitudinal tension 3 (kg) -- α Thermal expansion coefficient (ºC -1 )Sag (m) --
Case 4 Ice + Wind Case 5 Minimum temp.b (m) -- b (m) 36,00P (kg) -- P (kg) 14,03Wconductor (kg) Wind -- Wconductor (kg) Wind 0,00Winsulator (kg) Wind -- Winsulator (kg) Wind 0,00Hconductor (kg) Ice -- K (kg/mm ²) 0,00239Hinsulator (kg) Ice -- K' (kg/mm ²) 0,00239K (kg/mm ²) -- A = 38,07K' (kg/mm ²) -- B = -329,21
A = -- C= 1 473,93
B = -- AxEsf2³+BxEsf2²-C=0. 0,00
C= -- Strength 5 (kg/mm ²) 9,11AxEsf2³+BxEsf2²-C=0. -- Longitudinal tension 5 (kg) 533,75Strength 4 (kg/mm ²) -- Sag (m) 0,12Longitudinal tension 4 (kg) -- Sag (m) -- % Sag : 0,33% Span
Case 6 Maximum temp. MECHANICAL LOADS SUMMMARY (Normal condition)b (m) 36,00P (kg) 14,03Wconductor (kg) Wind 0,00 V (kg) T (kg) L (kg)Winsulator (kg) Wind 0,00 Case 1 EDS 14,03 -- 361,30K (kg/mm ²) 0,00239 Case 2 Maximum wind 14,03 17,26 471,21K' (kg/mm ²) 0,00239 Case 3 Ice -- -- --
A = 38,07 Case 4 Ice + Wind -- -- --
B = 272,04 Case 5 Minimum temp. 14,03 -- 533,75
C= 1 473,93 Case 6 Maximum temp. 14,03 -- 120,15AxEsf2³+BxEsf2²-C=0. 0,00 14,03 17,26 533,75Strength 6 (kg/mm ²) 2,05 30 30 550Horizontal tension 6 (kg) 120,15Sag (m) 0,53 Font: Mundo Eléctrico / Esfuerzos en conductores
aereos de subestaciones/ by Herbert Hörügel.
% Sag : 1,46% Span V : Vertical Load
T : Transversal Tension
L : Longitudinal Tension
Vi Li Ti Tv Lv Ta La0,29 5,39 0,00 0,29 0,00 2,99 2,06
Where:
Vi : Vertical Load of conductors and string insulators per phase.
Li : Longitudinal tensing load of conductor.
Ti : Transversal tensing load of conductor.
Lv : Wind Longitudinal Load on conductors and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
Tv : Wind Transversal Load on conductor and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
La : Shortcircuit Longitudinal Load (value from Doc. K122-C2-EV-65-009).
Ta : Shortcircuit Transversal Load (value from Doc. K122-C2-EV-65-009).
Static tensions Wind forces Shortcircuit
SPAN: 36 m
DESIGN LOADING CHARTNormal condition Exceptional condition
Mechanical Loads, (kN) Dynamic forces (kN)
ENVIRONMENTAL CONDITIONS Pressure constant
k = 0,613
Meters above sea level 3 000 m
Environment temperature Case 1 EDS 16,6 0,00 0,00 - Min. 0 °C Case 2 Maximum wind 10,0 49,03 0,00 - Max. 30 °C Case 3 Ice N/A N/A N/A
Wind speed 28 m/s Case 4 Ice + Wind N/A N/A N/A
Normal temperature (EDS) 16,6 °C Case 5 Minimum temp. 0,0 0,00 0,00
Case 6 Maximum temp. 75,0 0,00 0,00
CONDUCTOR ALLUMOWELD 7 No. 8 N/A: Not applicable
This substation are located
Conductor Cross-section 58,56 mm² in 0 area, C zone according to
Diameter 9,78 mm Peruvian electrical code (CNE)
Weight 0,39 Kg/m Pv Wind pressure (kg/m²)
Rated breaking strength 7 226 Kg k Pressure constant
Final modulus of elasticity 16 200 Kg/mm² k = 0.613 for elevations up to 3000 masl
Thermal expansion coefficient 0,000013 1/°C k = 0.455 for elevations above 3000 masl
Maximum wind speed 28,00 m/s V Wind speed (m/s)
Average wind speed 16,80 m/s Sf Form factor (Sf=1 for conductors)
(See page number 212 of CNE)
INSULATOR STRING
Weight per insulator 0,00 kg Wr Conductor Wind Ice UnitsInsulator string weight 0,00 kg 0,39 0,390 0,00 0,000 kg/m (Case 1) 0,00
Insulator string lenght 0,00 m 0,62 0,390 0,480 0,000 kg/m (Case 2) 0,00
Number of insulators 0,00 u -- -- -- -- kg/m (Case 3) --
Insulator lenght 0,00 m -- -- -- -- kg/m (Case 4) --
Insulator height 0,00 m 0,39 0,390 0,00 0,000 kg/m (Case 5) 0,00
0,39 0,390 0,00 0,000 kg/m (Case 6) 0,00
Wr Resulting load (kg/m)
Wv Wind load (kg/m)
Wh Ice load (kg/m)
Pv Wind pressure (kg/m²)
Dc Conductor diameter (m)
Eh Ice tickness (m)
δ h Ice density (δ h = 913 kg/m³)
Span 54,00 m
% EDS 5,00 %
Tension EDS 361,30 kg
Stregth EDS 6,17 (Kg/mm²)
Case 1 EDSStrength 1 (kg/mm ²) 6,17Tension 1 (kg) 361,30Sag (m) 0,39
% Sag : 0,73% Span
Case 2 Maximum wind Weather Conditions Designsb (m) 54,00P (kg) 21,04Wconductor (kg) Wind 25,90Winsulator (kg) Wind 0,00K (kg/mm ²) 0,00538 Where:K' (kg/mm ²) 0,01353
A = 38,07
B = -200,64
C= 8 341,09 Sags EcuationAxEsf2³+BxEsf2²-C=0. 0,00Strength 2 (kg/mm ²) 8,39Longitudinal tension 2 (kg) 491,11Sag (m) 0,46 Where:
% Sag : 0,85% Span b Horizontal distance between strings ends (m).
ALLUMOWELD 7 No. 8 - 54m
Load Conditions (CASES)
Temp.°C
Wind pressure(Kg/m²)
Ice tickness(mm)
W Conductor (Unitary) W Unitary Iceon Insulator
220kV CVPUE SUBSTATIONCALCULATION N° 10
STEEL STRUCTURES MECHANICAL LOADS ANALYSIS220kV STEEL STRUCTURES
σσσ ..8
)'.(.4.
..8
.).(
..2
'
A
PGaPb
A
PbPG
A
aff ba
++=++=+
22
22
'
11
21
.. θασσ
θασσ
−−=−−E
K
E
K
))'.(.6'..2..(..24
1 2222
PGaGaPbbA
K +++=
××=
2
2
801.9 m
kgSVkP f
V
+=m
kgEhDPW CVV )2(
[ ]
∂−+=m
kgDEhDW hCCh
22)2(4π
a’ Insulator string lenght (m).
Case 3 Ice d Conductor diameter (m).
b (m) -- f Sag (m).
P (kg) -- A Gauge conductor (mm²).Wconductor (kg) Wind -- θ Conductor temperature (ºC).
Winsulator (kg) Wind -- v Wind speed (km/h).
Hconductor (kg) Ice -- E Final modulus of elasticity (Kg/mm²).Hinsulator (kg) Ice -- T Conductor tension (kg).K (kg/mm ²) -- G Insulator string weight (kg).K' (kg/mm ²) -- L Span lenght (m).
A = -- P Conductor weight (kg).
B = -- R Tension resulting from vertical and horizontal strength (kg)
C= -- σ Conductor strength (kg/mm²).AxEsf2³+BxEsf2²-C=0. -- V Wind horizontal strength (kg).
Strength 3 (kg/mm ²) -- Pv Wind pressure (kg/mm²)
Longitudinal tension 3 (kg) -- α Thermal expansion coefficient (ºC -1 )Sag (m) --
Case 4 Ice + Wind Case 5 Minimum temp.b (m) -- b (m) 54,00P (kg) -- P (kg) 21,04Wconductor (kg) Wind -- Wconductor (kg) Wind 0,00Winsulator (kg) Wind -- Winsulator (kg) Wind 0,00Hconductor (kg) Ice -- K (kg/mm ²) 0,00538Hinsulator (kg) Ice -- K' (kg/mm ²) 0,00538K (kg/mm ²) -- A = 38,07K' (kg/mm ²) -- B = -280,81
A = -- C= 3 316,35
B = -- AxEsf2³+BxEsf2²-C=0. 0,00
C= -- Strength 5 (kg/mm ²) 8,56AxEsf2³+BxEsf2²-C=0. -- Longitudinal tension 5 (kg) 501,55Strength 4 (kg/mm ²) -- Sag (m) 0,28Longitudinal tension 4 (kg) -- Sag (m) -- % Sag : 0,52% Span
Case 6 Maximum temp. MECHANICAL LOADS SUMMMARY (Normal condition)b (m) 54,00P (kg) 21,04Wconductor (kg) Wind 0,00 V (kg) T (kg) L (kg)Winsulator (kg) Wind 0,00 Case 1 EDS 21,04 -- 361,30K (kg/mm ²) 0,00538 Case 2 Maximum wind 21,04 25,90 491,11K' (kg/mm ²) 0,00538 Case 3 Ice -- -- --
A = 38,07 Case 4 Ice + Wind -- -- --
B = 320,44 Case 5 Minimum temp. 21,04 -- 501,55
C= 3 316,35 Case 6 Maximum temp. 21,04 -- 163,28AxEsf2³+BxEsf2²-C=0. 0,00 21,04 25,90 501,55Strength 6 (kg/mm ²) 2,79 40 40 520Horizontal tension 6 (kg) 163,28Sag (m) 0,87 Font: Mundo Eléctrico / Esfuerzos en conductores
aereos de subestaciones/ by Herbert Hörügel.
% Sag : 1,61% Span V : Vertical Load
T : Transversal Tension
L : Longitudinal Tension
Vi Li Ti Tv Lv Ta La0,39 5,10 0,00 0,39 0,00 3,07 2,14
Where:
Vi : Vertical Load of conductors and string insulators per phase.
Li : Longitudinal tensing load of conductor.
Ti : Transversal tensing load of conductor.
Lv : Wind Longitudinal Load on conductors and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
Tv : Wind Transversal Load on conductor and insulator string (The steel structures manufacturer shall
be determined wind loads on Gantries and Masts).
La : Shortcircuit Longitudinal Load (value from Doc. K122-C2-EV-65-009).
Ta : Shortcircuit Transversal Load (value from Doc. K122-C2-EV-65-009).
Static tensions Wind forces Shortcircuit
SPAN: 54 m
DESIGN LOADING CHARTNormal condition Exceptional condition
Mechanical Loads, (kN) Dynamic forces (kN)