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A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L3, L4, L5, L6. The generator bus G1 is considered as slack bus, and the load buses L3 and L4 are voltage controlled buses. The generator at bus G2 cannot supply the required reactive power demand, and hence it is operating at its maximum reactive power limit. The number of non-linear equations required for solving the load flow problem using Newton-Raphson method in polar form is _______.
    Correct answer is '14'. Can you explain this answer?
    Verified Answer
    A 10-bus power system consists of four generator buses indexed as G1, ...
    Total no of buses=10
    Given G1 = slack bus, G2=generator/PQ bus
    ∴ G3 and G are PV buses
    PQ buses → L1,L2, L5,L6 (4)
    Voltage controlled PV buses → L3, L4 (2)
    Minimum no of nonlinear equations to be solved 2 x10-2-4=14
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    Most Upvoted Answer
    A 10-bus power system consists of four generator buses indexed as G1, ...
    To solve the load flow problem using the Newton-Raphson method in polar form, we need to determine the number of non-linear equations involved. Let's break down the problem and identify the different bus types and their characteristics.

    1. Bus Types:
    - Generator buses: G1, G2, G3, G4 (Total 4)
    - Load buses: L1, L2, L3, L4, L5, L6 (Total 6)

    2. Slack Bus:
    - G1 is the slack bus, which means it has a known voltage magnitude and phase angle. It does not contribute to any non-linear equations.

    3. Voltage Controlled Buses:
    - L3 and L4 are voltage controlled buses, which means their voltage magnitudes are specified. These buses contribute to two non-linear equations each (one for the real power and one for the reactive power).

    4. Generator at Maximum Reactive Power Limit:
    - The generator at bus G2 is operating at its maximum reactive power limit, indicating that its reactive power output is fixed. This condition does not contribute to any additional non-linear equations.

    5. Non-Linear Equations:
    - Each load bus contributes two non-linear equations (one for real power and one for reactive power). Since there are two voltage controlled load buses (L3 and L4), they contribute a total of four non-linear equations.
    - The remaining load buses (L1, L2, L5, L6) contribute a total of 12 non-linear equations (two equations each).

    Therefore, the total number of non-linear equations required for solving the load flow problem using the Newton-Raphson method in polar form is:

    4 (voltage controlled buses) + 12 (load buses) = 16

    However, since the generator at bus G2 is operating at its maximum reactive power limit and does not contribute to any additional non-linear equations, we subtract 2 from the total:

    16 - 2 = 14

    So, the correct answer is 14 non-linear equations.
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    A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L3, L4, L5, L6. The generator bus G1 is considered as slack bus, and the load buses L3 and L4 are voltage controlled buses. The generator at bus G2 cannot supply the required reactive power demand, and hence it is operating at its maximum reactive power limit. The number of non-linear equations required for solving the load flow problem using Newton-Raphson method in polar form is _______.Correct answer is '14'. Can you explain this answer?
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    A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L3, L4, L5, L6. The generator bus G1 is considered as slack bus, and the load buses L3 and L4 are voltage controlled buses. The generator at bus G2 cannot supply the required reactive power demand, and hence it is operating at its maximum reactive power limit. The number of non-linear equations required for solving the load flow problem using Newton-Raphson method in polar form is _______.Correct answer is '14'. Can you explain this answer? 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 A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L3, L4, L5, L6. The generator bus G1 is considered as slack bus, and the load buses L3 and L4 are voltage controlled buses. The generator at bus G2 cannot supply the required reactive power demand, and hence it is operating at its maximum reactive power limit. The number of non-linear equations required for solving the load flow problem using Newton-Raphson method in polar form is _______.Correct answer is '14'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10-bus power system consists of four generator buses indexed as G1, G2, G3, G4 and six load buses indexed as L1, L2, L3, L4, L5, L6. The generator bus G1 is considered as slack bus, and the load buses L3 and L4 are voltage controlled buses. The generator at bus G2 cannot supply the required reactive power demand, and hence it is operating at its maximum reactive power limit. The number of non-linear equations required for solving the load flow problem using Newton-Raphson method in polar form is _______.Correct answer is '14'. Can you explain this answer?.
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