POWER PLANT ENGINEERING DESIGN PART I: PEAK LOAD 1.1 DAILY LOAD CURVE LOAD CURVE Series 1 Column1 Column2 GENSET NO. 1 90 000 80 000 70 000 2 3 4 5 6 7 8 9 10 60 000 50 000 40 000 30 000 20 000 10 000 0 1.2 DAILY LOAD DEMAND 90,000 kW Diesel Power Plant TIME LOAD (kW) TIME LOAD (kW) 1:00 AM 9,000 1:00 PM 53,000 2:00 AM 11,000 2:00 PM 60,000 3:00 AM 18,000 3:00 PM 67,000 4:00 AM 24,000 4:00 PM 59,000 5:00 AM 31,000 5:00 PM 55,000 6:00 AM 35,000 6:00 PM 49,000 7:00 AM 41,000 7:00 PM 42,000 8:00 AM 51,000 8:00 PM 37,000 9:00 AM 66,000 9:00 PM 26,000 10:00 AM 69,000 10:00 PM 19,000 11:00 AM 88,275 11:00 PM 12,000 12:00 NN 62,000 12:00 MN 7,000 1.3. SCHEDULE OF OPERATION 1:00 AM Generator No. 1 starts to operate. 2:00 AM Generator No. 2 starts to operate with Generator No. 1. 4:00 AM 5:00 AM 7:00 AM 8:00 AM 9:00 AM 10:00 AM 11:00 AM Generator No. 3 starts to operate with Generator No. 1 and Generator No. 2. Generator No. 4 starts to operate with Generator No.1, No. 2 and No. 3. Generator No. 5 starts to operate with Generator No.1, No.2, No. 3 and No. 4. Generator No. 6 starts to operate with Generator No.1, No.2, No.3, No.4, and No. 5. Generator No, 7 starts to operate with Generator No.1, No.2, No.3, No.4, No.5, and No. 6. Generator No. 8 starts to operate with Generator No.1, No.2, No.3, No.4, No.5, No. 6 and No. 7 Generator No. 9 and No. 10 starts to operate with Generator No.1, No.2, No.3, No.4, No.5, No. 6, No. 7 and No. 8 12:00 PM Generator No. 1, No. 2 and No. 3 stops to while Generator No.4, No.5, No. 6, No. 7, No. 8, No. 9 and No. 10 continues to run. 1:00 PM Generator No. 4 stops to operate while Generator No.5, No. 6, No. 7, No. 8, No. 9 and No. 10 continues to run. 2:00 PM Generator No. 2 and No. 3 start running again together with Generator No. 6, No. 7, No. 8, No. 9 and No. 10 while Generator No. 5 stops. 3:00 PM Generator No. 1 and No.4 start running again together with Generator No. 2, No 3, No. 7, No. 8, No. 9 and No. 10 while Generator Number 6 stops. Generator No. 7 will stops to operate while Generator 4:00 PM No. 1, No. 2, No 3, No, 4 No. 8, No. 9 and No. 10 will continue to run. Generator No. 5 and No. 6 will start to operate with 6 :00 PM Generator No. 1, No. 2, No 3, and No, 4 while Generator No. 8, No.9, and No. 10 will stop. Generator No. 1 will stop operating while Generator 7:00 PM No. 2, No 3, No, 4, No. 5, No. 6 will continue to operate Generator No. 2 No. 3 and No.4 will stop operating 9:00 PM while Generator No. 8 will start running together with Generator No. 5 and No. 6. Generator No. 5 and No. 6 will stop operating while 11:00 PM Generator No. 9 will start running together with Generator No. 8. Generator 9 will continue to operate while Generator 12:00 MN No. 8 will stop 1.4 DAILY ENERGY PRODUCED The Daily Energy produced is equal to the area under the curve and is computed using the formula for the area of a trapezoid and rectangle, thus; π·ππππ¦ ππ − βππ πππππ’πππ = ∑ π΄ππππ π’ππππ π‘βπ ππ’ππ£π π΄πππ π’ππππ π‘βπ ππ’ππ£π = π΄1 = (9,000 + 11,000)(1βπ) = 10,000 ππ − βππ 2 (11,000 + 18,000)(1βπ) π΄2 = = 14,500 ππ − βππ 2 (18,000 + 24,000)(1βπ) π΄3 = = 21,000 ππ − βππ 2 π΄4 = (24,000 + 31,000)(1βπ) = 27,500 ππ − βππ 2 π΄5 = (31,000 + 35,000)(1βπ) = 33,000 ππ − βππ 2 π΄6 = (35,000 + 41,000)(1βπ) = 38,000 ππ − βππ 2 (πππ + πππ+1 )(1βπ) 2 πππ‘ππ π·ππππ¦ πΈπππππ¦ πππππ’πππ ∑(π΄π + π΄π+1 + π΄π+2 + β― + π΄π+23 ) Total Daily Energy Produced = 998,275 kW - hrs π΄7 = (41,000 + 51,000)(1βπ) = 46,000 ππ − βππ 2 π΄8 = (51,000 + 66,000)(1βπ) = 58,500 ππ − βππ 2 π΄9 = (66,000 + 69,000)(1βπ) = 67,500 ππ − βππ 2 π΄10 = (69,000 + 88,275)(1βπ) = 78,637.5 ππ − βππ 2 π΄11 = (88,275 + 62,000)(1βπ) = 75,137.5 ππ − βππ 2 π΄12 = (62,000 + 67,000)(1βπ) = 64,500 ππ − βππ 2 π΄13 = (53,000 + 60,000)(1βπ) = 56,500 ππ − βππ 2 π΄14 = (60,000 + 67,000)(1βπ) = 63,500 ππ − βππ 2 π΄15 = (67,000 + 59,000)(1βπ) = 63,000 ππ − βππ 2 π΄16 = (59,000 + 55,000)(1βπ) = 57,000 ππ − βππ 2 π΄17 = (55,000 + 49,000)(1βπ) = 52,000 ππ − βππ 2 π΄18 = (49,000 + 42,000)(1βπ) = 45,500 ππ − βππ 2 π΄19 = (42,000 + 37,000)(1βπ) = 39,500 ππ − βππ 2 π΄20 = (37,000 + 26,000)(1βπ) = 31,500 ππ − βππ 2 π΄21 = (26,000 + 19,000)(1βπ) = 22,500 ππ − βππ 2 π΄22 = (19,000 + 12,000)(1βπ) = 15,500 ππ − βππ 2 π΄23 = (12,000 + 7,000)(1βπ) = 9,500 ππ − βππ 2 π΄24 = (7,000 + 9,000)(1βπ) = 8,000 ππ − βππ 2 2. DESIGN CALCULATIONS 2.1 PLANT FACTOR CALCULATION 2.1.1 Design Data: GENSET MODEL NAME: MAK VM32C ENGINE TYPE : 16 M 32C engine GENERATOR OUTPUT : 9, 6 00 kW SPEED : 720/750 rpm @ 50/60 Hz 2.1.2 There would be 10 units of 9,600 kW to be used to meet the load demand. 2.1.3 Plant Capacity, PC PC = Generator Output x No. of Units PC = 9,600kW x 10 PC = 96,000 kW 2.1.4 Reserved Over Peak, ROP ROP = Plant Capacity – Peak load ROP = 96,000kW – 88,275 ROP = 7,725 kW 2.1.5 Average Load, AL π·ππππ¦ πΈπππππ¦ πππππ’πππ AL = ππ.ππ π»ππ’ππ ππ ππππππ‘πππ AL = 998,275 ππ−βπ 24 βππ AL = 41,594.792 kW 2.1.6 Load Factor, LF LF = π΄π£πππππ πΏπππ LF = 41,594.792 ππ ππππ πΏπππ 88,275 ππ π₯ 100% π₯ 100% LF = 0.4712 = 47.12% 2.1.7 Plant Capacity Factor, PCF π·ππππ¦ πΈπππππ¦ πππππ’πππ PCF = πππππ‘ πΆππππππ‘π¦ π₯ π»ππ’ππ ππ ππππππ‘πππ π₯ 100% 998,275 ππ−βπ PCF = 96,000 ππ π₯ 24 βππ π₯ 100% PCF = 0.4333 = 43.33% 2.1.8 Plant Utility Factor, PUF PUF = ππππ πΏπππ π₯ πΏπππ πΉπππ‘ππ PUF = 88,275 ππ π₯ 0.4712 πππππ‘ πΆππππππ‘π¦ π₯ 100% 96,000ππ PUF = 0.4333= 43.33% 2.1.9 Diversity Factor, DF DF = ∑ πΌππππ£πππ’ππ πππ₯ π·πππππ πππ₯ π·πππππ ππ πππ€ππ πππππ‘ DF = 9,600 ππ π₯ 10 π’πππ‘π 88,275 ππ ππ = π. ππππ 2.1.10 Use Factor of Each Unit UNIT # 1 AREAS KW-HRS ENERGY A1 = (9,600)kW (16) hr 153,600 kW-hrs TOTAL KW-HRS ENERGY 153,600 kW-hrs (UNIT # 1) UF1 = UF1 = Daily Energy Produced Unit Capacity x Hours of Operation 153,600 kW−hrs 9,600 kW x 24 hrs UF1 = 66.67% x 100% x 100% UNIT # 2 AREAS KW-HRS ENERGY A1 = (9,600)kW (14) hr 134,400 kW-hrs TOTAL KW-HRS ENERGY 134,400 kW-hrs (UNIT # 2) UF2 = UF2 = Daily Energy Produced Unit Capacity x Hours of Operation 134,400 kW−hrs 9600 kW x 24 hrs x 100% x 100% UF2 = 58.33% UNIT # 3 AREAS KW-HRS ENERGY A1 = (9,600)kW (15) hr 144,000 kW-hrs TOTAL KW-HRS ENERGY 196,800 kW-hrs (UNIT # 3) UF3 = UF3 = Daily Energy Produced Unit Capacity x Hours of Operation 196,800 kW−hrs 9,600 kW x 24 hrs UF3 = 85.42 % x 100% x 100% UNIT # 4 AREAS KW-HRS ENERGY A1 = (9600)kW (14) hr 134,400 kW-hrs TOTAL KW-HRS ENERGY 134,400 kW-hrs (UNIT # 4) UF4 = UF4 = Daily Energy Produced Unit Capacity x Hours of Operation 134,400 kW−hrs 9,600 kW x 24 hrs x 100% x 100% UF4 = 58.33% UNIT # 5 AREAS KW-HRS ENERGY A1 = (9600)kW (12) hr TOTAL KW-HRS ENERGY 115,200 kW-hrs 115,200 kW-hrs (UNIT # 5) UF5 = UF5 = Daily Energy Produced Unit Capacity x Hours of Operation 115,200 kW−hrs 9,600 kW x 24 hrs UF5 = 50.00% x 100% x 100% UNIT # 6 AREAS KW-HRS ENERGY A1 = (9600)kW (12) hr TOTAL KW-HRS ENERGY 115,200 kW-hrs 115,200 kW-hrs (UNIT # 6) UF5 = UF6 = Daily Energy Produced Unit Capacity x Hours of Operation 115,200 kW−hrs 9,600 kW x 24 hrs x 100% x 100% UF6 = 50.00 % UNIT # 7 AREAS KW-HRS ENERGY A1 = (9600)kW (7) hr 67,200 kW-hrs TOTAL KW-HRS ENERGY 67,200 kW-hrs (UNIT # 7) UF7 = UF7 = Daily Energy Produced Unit Capacity x Hours of Operation 67,200 kW−hrs 9,600 kW x 24 hrs UF7 = 29.17% x 100% x 100% UNIT # 8 AREAS KW-HRS ENERGY A1 = (9600)kW (11) hr 105,600 kW-hrs TOTAL KW-HRS ENERGY 105,600 kW-hrs (UNIT # 8) UF8 = UF8 = Daily Energy Produced Unit Capacity x Hours of Operation 105,600 kW−hrs 9600 kW x 24 hrs x 100% x 100% UF8 = 45.83% UNIT # 9 AREAS KW-HRS ENERGY A1 = (9600)kW (11) hr 105,600 kW-hrs TOTAL KW-HRS ENERGY 105,600 kW-hrs (UNIT # 9) UF9 = UF9 = Daily Energy Produced Unit Capacity x Hours of Operation 105,600 kW−hrs 9600 kW x 24 hrs UF9 = 45.83% x 100% x 100% UNIT # 10 AREAS KW-HRS ENERGY A1 = (9600)kW (7) hr TOTAL KW-HRS ENERGY 67,200 kW-hrs 67,200 kW-hrs (UNIT # 9) UF10 = UF10 = Daily Energy Produced Unit Capacity x Hours of Operation 67,200 kW−hrs 9600 kW x 24 hrs UF10 = 29.17% x 100% x 100% SUMMARY OF PLANT FACTOR CALCULATION Daily Energy Produced 998,275 kW - hrs Installed Capacity 96,000 kW Reserve Over Peak Load 7,725 kW Average Load 41,594.792 kW Load Factor 47.12% Plant Capacity Factor 47.12% Plant Utility Factor 43.33% Diversity Factor π. ππππ Use Factor of each Unit: Use Factor of Unit # 1 66.67% Use Factor of Unit # 2 58.33% Use Factor of Unit # 3 85.42 % Use Factor of Unit # 4 58.33% Use Factor of Unit # 5 50.00% Use Factor of Unit # 6 50.00 % Use Factor of Unit # 7 29.17% Use Factor of Unit # 8 45.83% Use Factor of Unit # 9 45.83% Use Factor of Unit # 10 29.17% Overall Plant Use Factor 51.88%