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Question L(20 marks) The variable operating costs of three generators a power system connected in are...
Q2 A generating station for a power system consists of two synchronous generators which are operating...
Q2 A generating station for a power system consists of two synchronous generators which are operating in parallel. The two generators are supplying a total power of 135 MW The slope of Generator 1 is 25 MW/Hz and has a non-load frequency of 52 Hz. The slope of Generator 2 is 15 MW/Hz and has a non-load frequency of 53 Hz 1. 2. Determine the system frequency. To what frequency must the non-load frequency of generator 1 be adjusted in...
QUESTION 2. (a) A portion of a power system consists of two generators in parallel, connected...
QUESTION 2. (a) A portion of a power system consists of two generators in parallel, connected to a step-up transformer that links them with a 220-kV transmission line. The ratings of these components are as shown below: Generator GI: 10 MVA, 12 percent reactance Generator G2: 5 MVA, 8 percent reactance Transformer: 15 MVA, 6 percent reactance Transmission line: (4+j60) 22, 220kV where the percent reactances are computed on the basis of individual component ratings. Draw the per-unit impedance diagram...
Problem 2 -The fuel-cost curves for a three-generator po system are given as follows: Ax10 P...
Problem 2 -The fuel-cost curves for a three-generator po system are given as follows: Ax10 P C2(P2)-600+ 10xP2+0.3 xP2 Ca(Ps)900+ 15xP3+0.1x P, The system losses in MW can be approximated as: P 10 If the system is operating with a marginal cost(λ) of $50/hr, dete (a) The output of each unit, (b) The total transmission losses cost (A) of SSO/hr, determin10% Pf+ 10% P3, 4x104 P1 P2 (c) The total load demand, (d) The total operating cost.
Three physically identical synchronous generators are operating in parallel. They are all rated for a full...
Three physically identical synchronous generators are operating in parallel. They are all rated for a full load of 3 MW at 0.8 PF lagging. The no-load frequency of generator A is 61.2 Hz, and its speed droop is 3.4 percent. The no-load frequency of generator B is 61.5 Hz, and its speed droop is 3 percent. The no- load frequency of generator C is 60.5 Hz, and its speed droop is 2.6 percent. (a) If a total load consisting of...
ion and Question 5 Marks: 30 Show all the derivations when applicable. Consider the production of...
ion and Question 5 Marks: 30 Show all the derivations when applicable. Consider the production of the generators equations: two-bus power system shown in the Figure 1. The cost function of connected to buses A and B are given by the following Generator A: C-180 + 20P4 + 0.015 Generator B: C 210 +15Pp +0.01P Pa DA -2000 Mw Da-1000 Mw Figure I: Two-bus power system. Assume that the demand is constant marginal cost of production and that there are...
Please do problem #2. I posted both problems 1 and 2 because problem 2 is based...
Please do problem #2. I posted both problems 1 and 2 because
problem 2 is based on problem 1. Please do part a,b and c. Label
each part clearly
(5 points) Given below are the cost curves of 5 generators which are to supply a load of 750 MW: 1. fi -0.01 Pa2+2 Pa+50 f 0.005 P24 P2 +200 f 0.0075 P+1.5 Pe3 +10 S/h f4-0.04 Pgs 0.5 P4+ 150 fs-0.003 P +3 Pgs+ 12S/h S/h S/h S/h Assume that...
A 7-bus power system with three generators, six transformers, and seven transmission lines is shown in...
A 7-bus power system with three generators, six transformers, and seven transmission lines is shown in Figure Q1. The per-unit reactances for the generators and transfomers are based on their rated voltage and expressed in percentage. When a three-phase fault occurs at bus 5; three transmission lines, namely L4, L5, and L6, are disconnected from the power system. By taking the base apparent power of 100 MVA and the rated voltage of generator G1 as the reference, determine the per-unit...
Figure 1 shows the one line diagram of a simple power system. Generators are connected at...
Figure 1 shows the one line diagram of a simple power system. Generators are connected at buses 1 and 3 while the loads are indicated at all five buses. Base values for transmission system are 100 MVA, 138 kV. The line data of Table 1 gives per unit series impedances and the charging MVar accounting for the distributed capacitance of the 5 lines. The bus data in Table 2 list values for P, Q and Vat each bus. The slack...
please urgent electrical or mechanical engineer can help? I have 20 hours.I have to finish. Pleaseeee :(
Question 1) A \(380 \mathrm{~V} 60 \mathrm{~Hz}\) two-pole three-phase asynchronous motor has a reverse power factor of 0.80. Stator resistance \(0,200 \Omega\) rotor resistance \(0,120 \Omega\) iron reactance resistance \(150 \Omega\) friction andwind losses \(450 \mathrm{~W}\), iron losses \(1500 \mathrm{~W}\) and stator copper power loss \(1215 \mathrm{~W}\). If the slip is \(5 \%,\) calculate the efficiency of the motor and the shaft moment.Question 2) Three synchronous generators feed 150 of the motors given in the first question. The idle operating...
Qustion 2.120 marks) a) Figure I below shows a system with plant-I and plant-2 connected to bus-1 and bus-2 respectively. There are two loads and 3 branches. The bus-I is the reference bus with 1...
Qustion 2.120 marks) a) Figure I below shows a system with plant-I and plant-2 connected to bus-1 and bus-2 respectively. There are two loads and 3 branches. The bus-I is the reference bus with 1.040° pu voltage. Base MVA is 100 If the branch currents and branch impedance values are as follows -2.5-j0.50pu -2-j040 pu I 1.5-j0.3 pu Calculate: 7-0.05+j0.20 pu -0.02+j0.08 pu Z 0.025+j0.10 pu i. Current distribution factors (4 marks) ii. Power factor angles at bus 1 and...
Q2 A generating station for a power system consists of two synchronous generators which are operating in parallel. The two generators are supplying a total power of 135 MW The slope of Generator 1 is 25 MW/Hz and has a non-load frequency of 52 Hz. The slope of Generator 2 is 15 MW/Hz and has a non-load frequency of 53 Hz 1. 2. Determine the system frequency. To what frequency must the non-load frequency of generator 1 be adjusted in...
QUESTION 2. (a) A portion of a power system consists of two generators in parallel, connected to a step-up transformer that links them with a 220-kV transmission line. The ratings of these components are as shown below: Generator GI: 10 MVA, 12 percent reactance Generator G2: 5 MVA, 8 percent reactance Transformer: 15 MVA, 6 percent reactance Transmission line: (4+j60) 22, 220kV where the percent reactances are computed on the basis of individual component ratings. Draw the per-unit impedance diagram...
Problem 2 -The fuel-cost curves for a three-generator po system are given as follows: Ax10 P C2(P2)-600+ 10xP2+0.3 xP2 Ca(Ps)900+ 15xP3+0.1x P, The system losses in MW can be approximated as: P 10 If the system is operating with a marginal cost(λ) of $50/hr, dete (a) The output of each unit, (b) The total transmission losses cost (A) of SSO/hr, determin10% Pf+ 10% P3, 4x104 P1 P2 (c) The total load demand, (d) The total operating cost.
Three physically identical synchronous generators are operating in parallel. They are all rated for a full load of 3 MW at 0.8 PF lagging. The no-load frequency of generator A is 61.2 Hz, and its speed droop is 3.4 percent. The no-load frequency of generator B is 61.5 Hz, and its speed droop is 3 percent. The no- load frequency of generator C is 60.5 Hz, and its speed droop is 2.6 percent. (a) If a total load consisting of...
ion and Question 5 Marks: 30 Show all the derivations when applicable. Consider the production of the generators equations: two-bus power system shown in the Figure 1. The cost function of connected to buses A and B are given by the following Generator A: C-180 + 20P4 + 0.015 Generator B: C 210 +15Pp +0.01P Pa DA -2000 Mw Da-1000 Mw Figure I: Two-bus power system. Assume that the demand is constant marginal cost of production and that there are...
Please do problem #2. I posted both problems 1 and 2 because
problem 2 is based on problem 1. Please do part a,b and c. Label
each part clearly
(5 points) Given below are the cost curves of 5 generators which are to supply a load of 750 MW: 1. fi -0.01 Pa2+2 Pa+50 f 0.005 P24 P2 +200 f 0.0075 P+1.5 Pe3 +10 S/h f4-0.04 Pgs 0.5 P4+ 150 fs-0.003 P +3 Pgs+ 12S/h S/h S/h S/h Assume that...
A 7-bus power system with three generators, six transformers, and seven transmission lines is shown in Figure Q1. The per-unit reactances for the generators and transfomers are based on their rated voltage and expressed in percentage. When a three-phase fault occurs at bus 5; three transmission lines, namely L4, L5, and L6, are disconnected from the power system. By taking the base apparent power of 100 MVA and the rated voltage of generator G1 as the reference, determine the per-unit...
Figure 1 shows the one line diagram of a simple power system. Generators are connected at buses 1 and 3 while the loads are indicated at all five buses. Base values for transmission system are 100 MVA, 138 kV. The line data of Table 1 gives per unit series impedances and the charging MVar accounting for the distributed capacitance of the 5 lines. The bus data in Table 2 list values for P, Q and Vat each bus. The slack...
Qustion 2.120 marks) a) Figure I below shows a system with plant-I and plant-2 connected to bus-1 and bus-2 respectively. There are two loads and 3 branches. The bus-I is the reference bus with 1.040° pu voltage. Base MVA is 100 If the branch currents and branch impedance values are as follows -2.5-j0.50pu -2-j040 pu I 1.5-j0.3 pu Calculate: 7-0.05+j0.20 pu -0.02+j0.08 pu Z 0.025+j0.10 pu i. Current distribution factors (4 marks) ii. Power factor angles at bus 1 and...
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