Reference : Bulb_calc.xls
Date : 11/03/2008
Author : J H Porter
Revision : Development - G                      
                         
                         
  INPUT                      
  Project to plot on diagram Lahn 2 1 to 8                
* Parameters            
Gravitational acceleration g 9.807 m2/s (parameter available) (symbol) (value) (units)
Density of water rohw 1000 kg/m3 (parameter available) (symbol) (value) (units)
Density of concrete rohb 2500 kg/m3 (parameter available) (symbol) (value) (units)
(parameter available) (symbol) (value) (units)   (parameter available)   (symbol) (value) (units)
Control row - Do NOT amend..! 3285    
* External functions Filename: a:spare folder:Bulb_func (also contains macro coding)    
Function 1: Vol_cone(h;r1;r2)              
MENU
Function 2: Centroid_cone(h;r1;r2)            
Function 3: Round_number(n1;nb;n2)            
    Function 4: (function available - no limits to number of functions/file)                
                         
Title Project     Lisdorf Lahn Test1            
Variant                      
User     J. Porter J. Porter J. Porter            
Start date     24/8/93 25/8/93 25/8/93            
Date     11/3/08 11/3/08 11/3/08            
                         
Misc. Supports in draft tube Sup_dt 2 2 2            
Supports before concrete (V3) Sup_thc 4 4 4            
Supports below turbine housing Sup_th 2 2 2            
No. of stayring ribs Rib_no 7 7 7            
Dynamic loading Fac_dl 30% 30% 30%            
Shutdown surge('+'=u/s;'-'=d/s) Fac_sur m() 50% 50% 50%            
Loading safety factor Fac_safe 1.50 1.50 1.50            
Load prop. to outer distr. bearing Fac_dout m 60% 60% 60%            
Contraction factor (distributor) Fac_cond 0.85 0.85 0.85            
                         
Machine No of machines Ntur 1 1 1            
data Machine type reference Mtyp RT RT RT            
Specific type Mtyp_sp bulb bulb bulb            
Orientation Mort horizontal horizontal horizontal            
Flowrate at net head Qnet m3/s 50.0 50.0 50.0            
Rotational speed n min-1 105.0 93.0 93.0            
Flowrate at runaway Qrun m3/s 88.0 75.0 75.0            
Runaway speed nrun min-1                  
Gearbox op. speed n_gear min-1 1000.0 750.0 750.0            
Rated output P_rated MW 1.638 1.400 1.400            
Runner diameter (outer) D1o 3.20 3.20 3.20            
Hub to tip ratio D1i/D1o m 0.43 0.43 0.43            
Max. opening angle of distributor Alpha_o 72.0 72.0 72.0            
Distributor diameter (outer) D2o m 4.40 4.40 4.40            
Distributor diameter (inner) D2i m 2.00 2.00 2.00            
Stayring diameter (outer) D3o m 5.80 5.80 5.80            
Stayring diameter (inner) D3i m 3.00 3.00 3.00            
D/s wallring diameter at joint D4o m 3.32 3.32 3.32            
Draft tube lining max. diameter D5o m 3.50 3.50 3.50            
Draft tube lining min. diameter D5i m 3.40 3.40 3.40            
M. on regulation ring - standstill M_r0 kNm 22 22 22            
M. on regulation ring - full load M_r1 kNm 103 103 103            
                         
Levels Headwater level HWL mOD 179.30 179.30 179.30            
Tailwater level TWL mOD 175.50 175.50 175.50            
Level of runner centreline ZZ1L mOD 173.80 173.80 173.80            
Level of inlet soffit ZZ2L mOD 170.70 170.70 170.70            
Level of supports under stayring ZZ3L mOD 170.50 170.50 170.50            
Level of inlet manhole cover ZZ4L mOD 176.90 176.90 176.90            
                         
XS Areas Inlet manhole cover area Amh m2 0.64 0.64 0.64            
                         
Weights/ Turbine pit(main part) G_wgt_m kN 170 165 165            
Thrust Turbine pit(front part) G_wgt_f kN 0 0 0            
Outer distributor ring Dro_wgt kN 90 90 90            
Inner distributor ring Dri_wgt kN 26 26 26            
Runner casing Rc_wgt kN 60 60 60            
Draft tube DT_wgt kN 25 25 25            
Distr. blades and regulation ring Drr_wgt kN 95 95 95            
Runner bearing/shaft seal Rbss_wgt kN 24 24 24            
Bearing force on runner bearing Rbf_wgt kN 150 135 135            
Bearing force on gear bearing Gbbf_wgt kN 10 10 10            
Gearbox without gear installed Gb_wgt kN 38 38 38            
Thrust bearing TB_wgt kN 25 25 25            
*In op. Axial force from thrust bearing Tb_F_op kN 300 300 300            
                         
Offsets Turbine pit(main part) G_off_m m -2.600 -2.600 -2.600            
Centroid Turbine pit(front part) G_off_f m 0.000 0.000 0.000            
w.r.t. Outer distributor ring Dro_off m -1.250 -1.250 -1.250            
centre of Inner distributor ring Dri_off m -1.350 -1.350 -1.350            
runner Runner casing Rc_off m 0.300 0.300 0.300            
Draft tube DT_off m 1.750 1.750 1.750            
Distr. blades and regulation ring Drr_off m -1.200 -1.200 -1.200            
Runner bearing/shaft seal Rbss_off m -0.900 -0.900 -0.900            
Bearing force on runner bearing Rbf_off m -0.940 -0.940 -0.940            
Bearing force on gear bearing Gbbf_off m -3.500 -3.500 -3.500            
Gearbox without gear installed Gb_off m -3.100 -3.100 -3.100            
  Thrust bearing TB_off m -2.000 -2.000 -2.000            
Joint Upstream limit of stayring XX1L m -2.950 -2.950 -2.950            
Upstream wallring WR_us m -1.700 -1.700 -1.700            
Joint: runner casing & distributor XX2L m -0.350 -0.350 -0.350            
Joint: runner casing & draft tube XX3L m 1.450 1.450 1.450            
Downstream wallring WR_ds m 1.650 1.650 1.650            
  Downstream limit of draft tube XX4L m 2.600 2.600 2.600            
Support Erection effective pivot(V3) F1_pivot m -2.050 -2.050 -2.050            
Erection effective support F2_pivot m -3.700 -3.700 -3.700            
Draft tube support F3_pivot m 1.800 1.800 1.800            
                         
Data Max. gross head Hmax m 3.8 3.8 3.8            
functions Runner length along passage Ld1 m 1.80 1.80 1.80            
of input Distributor length along passage Ld2 m 1.35 1.35 1.35            
Stayring length along passage Ld3 m 1.25 1.25 1.25            
Length of draft tube connection Ld4 m 0.20 0.20 0.20            
Draft tube length along passage Ld5 m 0.95 0.95 0.95            
Median dia. distr. blade inlet D2m m 3.05 3.05 3.05            
Median dia. distr. blade outlet D1m m 2.59 2.59 2.59            
Effective loading point distr. R2_le m 1.5 1.5 1.5            
Av. seperation of distr. blades Bo m 1.06 1.06 1.06            
Effect. lever arm d. servomoter S_la m 2.95 2.95 2.95            
Areas Distributor blades closed A_db m2 8.93 8.93 8.93            
Lining axial surface area u/s d. A_sus m2 15.08 15.08 15.08            
Lining axial surface area d/s d. A_sds m2 2.26 2.26 2.26            
Stayring axial surface area A_ssr m2 11.22 11.22 11.22            
Distributor axial surface area A_sdr m2 7.16 7.16 7.16            
Flow area through stayring A_fsr m2 15.71 15.71 15.71            
  Flow area through distributor A_fdr m2 9.31 9.31 9.31            
                         
 
OUTPUT maximum values[in kN] given on diagram for........
Lahn
                       
                         
SUMMARY Project   Lisdorf Lahn Test1            
Maximum Vertical                      
Forces Turbine pit to foundation V1 kN 880 860 860            
Stage     III III III            
Draft tube to foundation V2 kN 200 200 200            
Stage     III III III            
Loading turbine pit/support V3 kN 210 200 200            
Stage     I I I            
Loading draft tube/support V4 kN 80 70 70            
Stage     I I I            
Force on servomoter V5 kN 35 35 35            
Dynamic loading   10 10 10            
Stage     IV IV IV            
Force on access covers V6 kN 30 30 30            
Dynamic loading   10 10 10            
Stage     V V V            
Axial      
Loading on turbine pit supports A1 kN 135 130 130            
Dynamic loading   150 150 150            
Stage     V V V            
Loading on turbine access tube A2 kN 260 240 240            
Dynamic loading   150 150 150            
Stage     V V V            
Loading upper part turbine pit A3 kN 820 820 820            
Dynamic loading   250 250 250            
Stage     V V V            
Loading lower part turbine pit A4 kN 670 670 670            
Dynamic loading   250 250 250            
Stage     V V V            
Tangential                      
Loading on ribs of stayring T1 kN 45 30 30            
Dynamic loading   15 10 10            
Stage     VI VI VI            
                         
BREAKDOWN Project   Lisdorf Lahn Test1            
I Pre- Vertical                      
erection Turbine pit to foundation V1 kN 0 0 0            
Draft tube to foundation V2 kN 0 0 0            
Loading turbine pit/support V3 kN 210 200 200            
Loading draft tube/support V4 kN 80 70 70            
Force on servomoter V5 kN 0 0 0            
Force on access covers V6 kN 15 15 15            
Axial                      
Loading on turbine pit supports A1 kN 0 0 0            
Loading on turbine access tube A2 kN 0 0 0            
Loading upper part turbine pit A3 kN 0 0 0            
Loading lower part turbine pit A4 kN 0 0 0            
                         
II Concrete Vertical                      
Stage Turbine pit to foundation V1 kN 0 0 0            
Draft tube to foundation V2 kN 0 0 0            
Loading turbine pit/support V3 kN -40 -30 -30            
Loading draft tube/support V4 kN -5 -5 -5            
Force on servomoter V5 kN 0 0 0            
Force on access covers V6 kN 15 15 15            
Axial                      
Loading on turbine pit supports A1 kN 0 0 0            
Loading on turbine access tube A2 kN 0 0 0            
Loading upper part turbine pit A3 kN 0 0 0            
Loading lower part turbine pit A4 kN 0 0 0            
                         
III Standstill Vertical                      
(water Turbine pit to foundation V1 kN 880 860 860            
filled + Draft tube to foundation V2 kN 200 200 200            
guide Loading turbine pit/support V3 kN 0 0 0            
vanes Loading draft tube/support V4 kN 0 0 0            
closed) Force on servomoter V5 kN 7 7 7            
Force on access covers V6 kN 15 15 15            
Axial    
Loading on turbine pit supports A1 kN 5 10 10            
Loading on turbine access tube A2 kN 130 130 130            
Loading upper part turbine pit A3 kN 610 610 610            
Loading lower part turbine pit A4 kN 450 450 450            
                         
IV Operating Vertical                      
Full load Turbine pit to foundation V1 kN 875 860 860            
Draft tube to foundation V2 kN 200 200 200            
Loading turbine pit/support V3 kN 0 0 0            
Loading draft tube/support V4 kN 0 0 0            
Force on servomoter V5 kN 35 35 35            
Force on access covers V6 kN 15 15 15            
Dynamic loading Vd6 5 5 5            
Axial    
Loading on turbine pit supports A1 kN 100 105 105            
Dynamic loading Ad1 70 70 70            
Loading on turbine access tube A2 kN 225 220 220            
Dynamic loading Ad2 70 70 70            
Loading upper part turbine pit A3 kN 510 510 510            
Dynamic loading Ad3 160 160 160            
Loading lower part turbine pit A4 kN 360 360 360            
Dynamic loading Ad4 160 160 160            
Tangential    
Loading on ribs of stayring T1 kN 5 5 5            
Dynamic loading Td1 2 2 2            
                         
V Shutdown Vertical                      
Turbine pit to foundation V1 kN 880 860 860            
Draft tube to foundation V2 kN 200 200 200            
Loading turbine pit/support V3 kN 0 0 0            
Loading draft tube/support V4 kN 0 0 0            
Force on servomoter V5 kN 35 35 35            
Force on access covers V6 kN 30 30 30            
Dynamic loading Vd6 10 10 10            
Axial    
Loading on turbine pit supports A1 kN 70 75 75            
Dynamic loading Ad1 150 150 150            
Loading on turbine access tube A2 kN 195 190 190            
Dynamic loading Ad2 150 150 150            
Loading upper part turbine pit A3 kN 820 820 820            
Dynamic loading Ad3 250 250 250            
Loading lower part turbine pit A4 kN 670 670 670            
Dynamic loading Ad4 250 250 250            
Tangential    
Loading on ribs of stayring T1 kN 15 15 15            
Dynamic loading Td1 5 5 5            
                         
VI Runaway Vertical                      
Turbine pit to foundation V1 kN 880 860 860            
Draft tube to foundation V2 kN 200 200 200            
Loading turbine pit/support V3 kN 0 0 0            
Loading draft tube/support V4 kN 0 0 0            
Force on servomoter V5 kN 35 35 35            
Force on access covers V6 kN 30 30 30            
Dynamic loading Vd6 10 10 10            
Axial    
Loading on turbine pit supports A1 kN 135 130 130            
Dynamic loading Ad1 80 80 80            
Loading on turbine access tube A2 kN 260 240 240            
Dynamic loading Ad2 80 80 80            
Loading upper part turbine pit A3 kN 395 445 445            
Dynamic loading Ad3 120 140 140            
Loading lower part turbine pit A4 kN 240 290 290            
Dynamic loading Ad4 120 140 140            
Tangential    
Loading on ribs of stayring T1 kN 45 30 30            
  Dynamic loading Td1 15 10 10            
                         
  CALCULATION Project   Lisdorf Lahn Test1            
                     
I Vertical During erection of parts Ia     . . .            
forces Resolve moments about A = F1 Ia_F1 kN 196 195 195            
Resolve forces vertically = F2 Ia_F2 kN -72 -74 -74            
After erection of parts Ib                
Resolve moments about B = F3 Ib_F3 kN 71 71 71            
Resolve forces vertically = F2 Ib_F2 kN 203 199 199            
                     
* Static force on manhole cover I_mh(V6) kN 15 15 15            
                     
II Vertical During concreting of stayring     . . .            
forces Calc. bouyancy of stayring II_bV3 kN -28 -29 -29            
During concreting of draft tube                
Calc. bouyancy of stayring II_bV4 kN 17 16 16            
                     
* Static force on manhole cover II_mh(V6) kN 15 15 15            
    . . .            
III Vertical Inner weight III_iwgt kN 273 258 258            
forces Inner moment III_imt kNm 405 375 375            
                     
Weight of water between walls III_wwgt kN 277 277 277            
Lever arm of water III_wla m -0.089 -0.089 -0.089            
Outer weight III_owgt kN 522 522 522            
Lever arm of total outer weight III_ola m 1.354 1.354 1.354            
     
Bearing force at A (-DT water) III_FA kN 111 111 111            
Bearing force at B (-TH water) III_FB kN 411 411 411            
Moments resolved about A (DT) III_MA kNm 22 22 22            
Moments resolved about B (TH) III_MB kNm 336 336 336            
     
Weight of water in stayring III_wsr kN 191 191 191            
Force of TH to concrete III_Fth kN 875 860 860            
Weight of water in draft tube III_wdt kN 87 87 87            
Force of DT to concrete III_Fdt kN 198 198 198            
                     
Static force on manhole cover III_mh kN 15 15 15            
                     
Axial Stayring reaction to inner Mmt III_Ti kN 61 57 57            
forces Stayring reaction to outer Mmt III_To kN 76 76 76            
                     
Axial force on distributor blades III_Fdb kN 333 333 333            
Force attributed to outer part III_Fdo kN 200 200 200            
Force attributed to inner part III_Fdi kN 133 133 133            
Mean axial water pressure (u/s) III_wpu kN/m2 54 54 54            
Axial force of water on surface III_Fin kN 813 813 813            
Mean axial water pressure (d/s) III_wpd kN/m2 17 17 17            
Axial force of water on surface III_Fout kN 38 38 38            
                     
Torque n/a                      
    . . .            
IV Vertical Turbine housing as Stage III IV_Fth kN 875 860 860            
forces Draft tube as Stage III IV_Fdt kN 200 200 200            
                     
Static force on manhole cover IV_mh kN 15 15 15            
                     
Axial Stayring reaction(inner Mmt) III IV_Ti kN 61 57 57            
forces Stayring reaction(outer Mmt) III IV_To kN 76 76 76            
                     
Inlet Velocity head at inlet section IV_dHv m 0.52 0.52 0.52            
Mean axial water pressure (u/s) IV_wpu kN/m2 49 49 49            
Axial force of water on surface IV_Fin kN 548 548 548            
Outlet Velocity head at outlet section IV_oHv m 1.47 1.47 1.47            
Mean axial water pressure (d/s) IV_wpd kN/m2 40 40 40            
Axial force of water on surface IV_Fout kN 283 283 283            
Distributor Approx. force from flow velocity IV_Fd kN 65 65 65            
Force apportioned(outer bearing) IV_Fdo kN 39 39 39            
Force apportioned(inner bearing) IV_Fdi kN 26 26 26            
                     
Torque Torque on distributor IV_T kNm 246 246 246            
Driving torque on gearbox IV_Tgin kNm 149 144 144            
  Output torque from gearbox IV_Tgout kNm 16 18 18            
    . . .            
V Vertical Turbine housing as Stage III V_Fth kN 880 860 860            
forces Draft tube as Stage III V_Fdt kN 200 200 200            
                     
Static force on manhole cover V_mh kN 27 27 27            
                     
Axial Stayring reaction(inner Mmt) III V_Ti kN 61 57 57            
forces Stayring reaction(outer Mmt) III V_To kN 76 76 76            
                     
Revised head with surge factor V_Hmax m 7.6 7.6 7.6            
Axial force on distributor blades V_Fdb kN 666 666 666            
Force attributed to outer part V_Fdo kN 400 400 400            
Force attributed to inner part V_Fdi kN 266 266 266            
Mean axial water pressure (u/s) V_wpu kN/m2 73 73 73            
Axial force of water on surface V_Fin kN 1094 1094 1094            
Mean axial water pressure (d/s) V_wpd kN/m2 -2 -2 -2            
Axial force of water on surface V_Fout kN -4 -4 -4            
                     
Torque Torque on distributor (IV) V_T kNm 246 246 246            
    . . .            
VI Vertical Turbine housing as Stage III VI_Fth kN 880 860 860            
forces Draft tube as Stage III VI_Fdt kN 200 200 200            
                     
Static force on manhole cover VI_mh kN 27 27 27            
                     
Axial Stayring reaction(inner Mmt) III VI_Ti kN 61 57 57            
forces Stayring reaction(outer Mmt) III VI_To kN 76 76 76            
                     
Inlet Velocity head at inlet section VI_dHv m 1.60 1.16 1.16            
Mean axial water pressure (u/s) VI_wpu kN/m2 38 43 43            
Axial force of water on surface VI_Fin kN 429 477 477            
Outlet Velocity head at outlet section VI_oHv m 4.56 3.31 3.31            
Mean axial water pressure (d/s) VI_wpd kN/m2 9 21 21            
Axial force of water on surface VI_Fout kN 66 154 154            
Distributor Approx. force from flow velocity VI_Fd kN 233 170 170            
Force apportioned(outer bearing) VI_Fdo kN 140 102 102            
Force apportioned(inner bearing) VI_Fdi kN 93 68 68            
                     
Torque Torque on distributor (IV + Qrun) VI_T kNm 763 554 554