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An industrial plant has a load of 1500kVA at an average power factor of 0.6 lagging. Neglecting all losses, calculate (a) the kVA input to the synchronous condenser for an overall power factor of unity; (b) the total kW of the system. A 750kVA synchronous condenser is available and is used to correct the lagging power factor of the plant at problem number 3. Neglecting all losses, calculate (a) the total kVA of the plant; (b) the overall power factor.?
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Calculating kVA Input and Total kW

Calculation of kVA Input

  • Given: Load = 1500kVA, Power factor = 0.6 lagging

  • Apparent power (S) = Load / Power factor = 1500 / 0.6 = 2500kVA

  • To achieve unity power factor, the real power (P) must be equal to the apparent power (S)

  • kVA input to synchronous condenser (Q) = S - P = 2500 - 1500 = 1000kVA



Calculation of Total kW

  • Real power (P) = Load x power factor = 1500 x 0.6 = 900kW

  • Total kW = P + kW from synchronous condenser = 900 + 0 = 900kW



Calculating Total kVA and Overall Power Factor

Calculation of Total kVA

  • Given: Load = 1500kVA, Power factor = 0.6 lagging, Synchronous condenser = 750kVA

  • Apparent power (S) = Load / Power factor = 1500 / 0.6 = 2500kVA

  • Apparent power after correction (S') = S = 2500kVA

  • kVA input to synchronous condenser (Q) = S' - Load = 2500 - 1500 = 1000kVA

  • Total kVA = Load + kVA input to synchronous condenser = 1500 + 1000 = 2500kVA



Calculation of Overall Power Factor

  • Real power (P) = Load x power factor = 1500 x 0.6 = 900kW

  • Real power after correction (P') = Load x corrected power factor = 1500 x 1 = 1500kW

  • Total kW = P + P' = 900 + 1500 = 2400kW

  • Overall power factor = Total kW / Total kVA = 2400 / 2500 = 0.96 lagging



Explanation

The problem involves calculating the kVA input and total kW of an industrial plant with a load of 1500kVA and power factor of 0.6 lagging. The kVA input to the synchronous condenser is calculated by subtracting the real power from the apparent power to achieve a power factor of unity. The total kW is then calculated by adding the real power from the load to the kW from the synchronous condenser.

In the second part of the problem, a synchronous condenser with a capacity of 750kVA is used to correct the lagging power factor of the plant. The total kVA of the plant is calculated by adding the load to the kVA input to the synchronous condenser. The overall power factor is then calculated by dividing the total kW by the total kVA.

It is important to note that this calculation neglects all losses, which can have a significant impact on the actual
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An industrial plant has a load of 1500kVA at an average power factor of 0.6 lagging. Neglecting all losses, calculate (a) the kVA input to the synchronous condenser for an overall power factor of unity; (b) the total kW of the system. A 750kVA synchronous condenser is available and is used to correct the lagging power factor of the plant at problem number 3. Neglecting all losses, calculate (a) the total kVA of the plant; (b) the overall power factor.?
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An industrial plant has a load of 1500kVA at an average power factor of 0.6 lagging. Neglecting all losses, calculate (a) the kVA input to the synchronous condenser for an overall power factor of unity; (b) the total kW of the system. A 750kVA synchronous condenser is available and is used to correct the lagging power factor of the plant at problem number 3. Neglecting all losses, calculate (a) the total kVA of the plant; (b) the overall power factor.? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about An industrial plant has a load of 1500kVA at an average power factor of 0.6 lagging. Neglecting all losses, calculate (a) the kVA input to the synchronous condenser for an overall power factor of unity; (b) the total kW of the system. A 750kVA synchronous condenser is available and is used to correct the lagging power factor of the plant at problem number 3. Neglecting all losses, calculate (a) the total kVA of the plant; (b) the overall power factor.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An industrial plant has a load of 1500kVA at an average power factor of 0.6 lagging. Neglecting all losses, calculate (a) the kVA input to the synchronous condenser for an overall power factor of unity; (b) the total kW of the system. A 750kVA synchronous condenser is available and is used to correct the lagging power factor of the plant at problem number 3. Neglecting all losses, calculate (a) the total kVA of the plant; (b) the overall power factor.?.
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