K122-C2-EV-65-152 A

21
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

Transcript of K122-C2-EV-65-152 A

Page 1: 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

Page 2: K122-C2-EV-65-152 A

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)

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

Page 3: K122-C2-EV-65-152 A

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

Page 4: K122-C2-EV-65-152 A

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

Page 5: K122-C2-EV-65-152 A

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

Page 6: K122-C2-EV-65-152 A

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

Page 7: K122-C2-EV-65-152 A

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

Page 8: K122-C2-EV-65-152 A

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

Page 9: K122-C2-EV-65-152 A

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

Page 10: K122-C2-EV-65-152 A

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

Page 11: K122-C2-EV-65-152 A

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

Page 12: K122-C2-EV-65-152 A

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

Page 13: K122-C2-EV-65-152 A

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

Page 14: K122-C2-EV-65-152 A

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

Page 15: K122-C2-EV-65-152 A

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)

Page 16: K122-C2-EV-65-152 A

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

Page 17: K122-C2-EV-65-152 A

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)

Page 18: K122-C2-EV-65-152 A

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

Page 19: K122-C2-EV-65-152 A

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)

Page 20: K122-C2-EV-65-152 A

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

Page 21: K122-C2-EV-65-152 A

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)