All questions of Power Systems for Electrical Engineering (EE) Exam

Unit of heat rate curve is
  • a)
    Rs-hr
  • b)
    Rs/MWh
  • c)
    Rs/hr
  • d)
    Million kcal/hr
Correct answer is option 'D'. Can you explain this answer?

Samarth Khanna answered
Unit of Heat Rate Curve is Million kcal/hr because it represents the rate at which heat is being generated or consumed in a power plant. The heat rate is a measure of the thermal efficiency of a power plant and is usually expressed in units of energy per unit of time.

- Heat Rate Curve:
The heat rate curve is a graphical representation of the relationship between the heat input to a power plant and the power output. It shows how the heat rate varies with the power output of the plant. The heat rate curve is typically plotted with heat rate on the y-axis and power output on the x-axis.

- Importance of Heat Rate:
The heat rate of a power plant is an important parameter as it indicates how efficiently the plant converts fuel into electricity. A lower heat rate means that the plant is more efficient and requires less fuel to generate a given amount of electricity. On the other hand, a higher heat rate indicates that the plant is less efficient and requires more fuel for the same power output.

- Million kcal/hr:
The unit of heat rate in the heat rate curve is Million kcal/hr. This unit represents the amount of heat energy generated or consumed by the power plant in one hour. It is a large unit of energy and is commonly used in the power generation industry.

- Conversion to Other Units:
The heat rate can also be expressed in other units such as BTU/kWh or MMBtu/MWh. These units represent the amount of heat energy required to generate one kilowatt-hour or one megawatt-hour of electricity, respectively. However, the unit of Million kcal/hr is widely used in the industry and is convenient for comparing the performance of different power plants.

- Conclusion:
In conclusion, the unit of heat rate curve is Million kcal/hr. This unit represents the rate at which heat energy is being generated or consumed by a power plant. The heat rate curve is an important tool for assessing the efficiency of a power plant and comparing the performance of different plants.

Which is the conventional source of energy?
  • a)
    Solar
  • b)
    Radio-active substances
  • c)
    Geothermal
  • d)
    Wind
Correct answer is option 'B'. Can you explain this answer?

Juhi Joshi answered
Conventional source of energy are: Water, Coal, Gas, radioactive substances. Non-conventional source of energy are: Wind, Solar energy, Geothermal.

Series capacitive compensation on EHV transmission lines is used to
  • a)
    reduce the line loading
  • b)
    improve the protection of the line
  • c)
    reduce the voltage profile
  • d)
    improve the stability of the system
Correct answer is option 'D'. Can you explain this answer?

With series capacitive compensation, the net transfer reactance of the line will be X = (XL - XC) due to which the power transmitted from sending to the receiving end is increased. Thus, it will improve the steady-state stability of the system.

Shunt capacitance in an EHV line is restored to
  • a)
    improve the stability
  • b)
    reduce fault level
  • c)
    improve the voltage
  • d)
    none of the above
Correct answer is option 'C'. Can you explain this answer?

Srestha Gupta answered
Shunt Capacitance in EHV Line

Shunt capacitance is an important parameter of an EHV transmission line. It is the capacitance between the line conductors and the ground.

Importance of Shunt Capacitance

- Shunt capacitance helps in maintaining the voltage level of the transmission line.
- It also helps in reducing the corona losses.
- Shunt capacitance is responsible for the charging current of the transmission line.
- It affects the overall transmission line impedance.

Restoring Shunt Capacitance to Improve Voltage

The shunt capacitance in an EHV line is restored to improve the voltage level of the transmission line. When the shunt capacitance is low, the voltage level of the transmission line decreases. This can lead to power losses and also affect the stability of the system.

By restoring the shunt capacitance, the voltage level can be improved. This is particularly important in long transmission lines where the voltage drop is significant. The shunt capacitance helps in maintaining the voltage level within acceptable limits.

Conclusion

Shunt capacitance is an important parameter of an EHV transmission line. It helps in maintaining the voltage level and reducing corona losses. Restoring shunt capacitance can improve the voltage level of the transmission line and ensure stable operation.

Consider the following statements:
1. AAC (All Aluminium conductors) are universaly employed for feeders as well as distributors.
2. The conductor size for a feeder is mainly governed by the permissible voltage drop in the line.
Which of the above statement(s) is/are true?
  • a)
    1 only
  • b)
    1 and 2
  • c)
    none
  • d)
    2 only
Correct answer is option 'C'. Can you explain this answer?

Isha Singh answered
ACSR conductors are universally employed for distribution systems (feeders as well as distributors), AAC can be used for distribution purpose provided the spans are small.
Hence, statement-1 is false.
The conductor size for a feeder is mainly governed by current carrying capacity and overall economy. Hence, 2 is also a false statement.

HVDC transmission is preferred to EHV AC because
  • a)
    HVDC terminal equipment are inexpensive
  • b)
    VAR compensation is not required in HVDC system
  • c)
    system reliability can be improved
  • d)
    harmonic problem is avoided
Correct answer is option 'C'. Can you explain this answer?

HVDC transmission is more reliable than EHV AC because it uses ground or sea return and therefore, in case of fault on a line it can still be used to supply power with the help of healthy lines.

Three synchronous generators, each of which is rated to 100 MVA, 11 KV, have an impedance per unit of 0.15. If all three generators are replaced by a single equivalent generator, what will be the effective per unit impedance of each generator?
  • a)
    0.45
  • b)
    0.15
  • c)
    0.025
  • d)
    0.05
Correct answer is option 'D'. Can you explain this answer?

Mahesh Singh answered
Calculation:

Given data:
- Number of generators: 3
- Rating of each generator: 100 MVA
- Voltage rating: 11 kV
- Impedance per unit: 0.15

To find:
- Effective per unit impedance of each generator when replaced by a single equivalent generator

Step 1: Calculation of equivalent impedance

The total impedance of the three generators connected in parallel can be calculated as follows:

Zeq = Zg / N

Where,
Zeq = Equivalent impedance
Zg = Impedance of a single generator
N = Number of generators

Given that Zg = 0.15, and N = 3, we can substitute these values into the equation:

Zeq = 0.15 / 3
Zeq = 0.05

Therefore, the equivalent impedance of the three generators connected in parallel is 0.05 per unit.

Step 2: Calculation of effective per unit impedance

To find the effective per unit impedance of each generator, we need to divide the equivalent impedance by the number of generators:

Effective per unit impedance = Zeq / N

Given that Zeq = 0.05 and N = 3, we can substitute these values into the equation:

Effective per unit impedance = 0.05 / 3
Effective per unit impedance = 0.0167

Therefore, the effective per unit impedance of each generator when replaced by a single equivalent generator is 0.0167.

Step 3: Comparing the options

a) 0.45 - This is not the correct answer.
b) 0.15 - This is not the correct answer.
c) 0.025 - This is not the correct answer.
d) 0.05 - This is the correct answer.

Therefore, option D, 0.05, is the correct answer.

Conclusion:

When three synchronous generators with an impedance per unit of 0.15 are replaced by a single equivalent generator, the effective per unit impedance of each generator becomes 0.05.

The series impedance matrix of a short three-phase transmission line in phase coordinates is . If the positive sequence impedance is (1 + j 10) Ω, and the zero sequence is (4 + j 31) Ω, then the imaginary part of Zm ­(in Ω) is _______ (up to 2 decimal places).
    Correct answer is '7'. Can you explain this answer?

    Pooja Patel answered
    Given that, positive sequence impedance (Z1) = (1 + j10) Ω
    Zero sequence impedance (Z0) = (4 + j31) Ω
    We know that, Z1 = Zs – Zm
    and Z0 = Zs + 2Zm
    Z1 = 1 + j10 = Zs – Zm → (1)
    and Z0 = 4 + j31 = Zs + 2Zm → (2)
    from equations (1) and (2)
    ⇒ Zm = 1 + j7
    Imaginary part of Zm = 7 Ω.

    A station operates with a load factor and plant capacity factor of 0.75, with a maximum demand of 100 MW. The reserve capacity is
    • a)
      100 MW
    • b)
      75 MW
    • c)
      0 MW
    • d)
      133.33 MW
    Correct answer is option 'C'. Can you explain this answer?

    Load Factor and Plant Capacity Factor

    Load factor is the ratio of average load to the maximum demand, and plant capacity factor is the ratio of actual output to the maximum capacity.

    Load factor = (Average load) / (Maximum demand)
    Plant capacity factor = (Actual output) / (Maximum capacity)

    Given load factor and plant capacity factor are 0.75, the maximum demand is 100 MW.

    Reserve Capacity

    Reserve capacity is the amount of extra capacity available to meet sudden increases in demand or unexpected outages. It is calculated by subtracting the maximum demand from the maximum capacity.

    Reserve capacity = Maximum capacity - Maximum demand

    Since the load factor and plant capacity factor are both 0.75, it means that the actual output is 75 MW, which is 75% of the maximum capacity. Therefore, the maximum capacity is:

    Maximum capacity = Actual output / Plant capacity factor
    Maximum capacity = 75 MW / 0.75
    Maximum capacity = 100 MW

    Thus, the reserve capacity is:

    Reserve capacity = Maximum capacity - Maximum demand
    Reserve capacity = 100 MW - 100 MW
    Reserve capacity = 0 MW

    Therefore, the correct answer is option C, which is 0 MW.

    The line current in a three phase unbalanced load are Ia = 4 + j6, Ib = 2 - j2, Ic = -3 + j2, then zero sequence component of current will be
    • a)
      3 + j6
    • b)
      9 + j10
    • c)
      1 + j2
    • d)
      3 - j6
    Correct answer is option 'C'. Can you explain this answer?

    Pooja Patel answered
    Concept:
    The relation between the line currents in terms of the symmetrical components of currents is given below.
    Ia0 = Zero Sequence Component of Current
    Ia1 = Positive Sequence Component of Current
    Ia2 = Negative Sequence Component of Current
    a = 1∠120°, which represents the rotation of 120° in the clockwise direction.
    a2 = 1∠-120° or 1∠240° in anticlockwise direction or clockwise direction, respectively.
    1 + a + a2 = 0
    Calculation:
    Given that
    Ia = 4 + j6, Ib = 2 - j2, Ic = -3 + j2
    Zero sequence component of current,

    ∴ I0 = 1 + j2 A

    There is a problem of high transient over voltages while interrupting
    • a)
      capacitive currents
    • b)
      inductive currents
    • c)
      heavy short circuit current
    • d)
      (a) or (c)
    Correct answer is option 'A'. Can you explain this answer?

    Palak Verma answered
    High transient over voltages occurs in power system due to formation of capacitance across the breaker poles. These are also called switching over voltages.

    For a synchronous phase modifier the load angle is
    • a)
      00
    • b)
      250
    • c)
      300
    • d)
      None of these
    Correct answer is option 'A'. Can you explain this answer?

    Arya Mukherjee answered
    Synchronous phase modifier is an overexcited synchronous motor operating on no-load under wide variation of excitation. For no-load operation, δ = 0.

    The charging currents due to shunt admittance can be neglected for ______ transmission line?
    • a)
      short
    • b)
      long
    • c)
      medium
    • d)
      all of the mentioned
    Correct answer is option 'A'. Can you explain this answer?

    Short Transmission Line:
    When the length of the transmission line is relatively short, the charging currents due to shunt admittance can be neglected.

    Explanation:
    The charging currents in a transmission line are caused by the shunt admittance of the line. The shunt admittance consists of the capacitance of the line. When a voltage is applied to a transmission line, the capacitance of the line allows a small amount of charging current to flow.

    Short Transmission Line:
    In a short transmission line, the length of the line is relatively short compared to the wavelength of the operating frequency. This means that the time taken for the voltage wave to travel from one end of the line to the other is small compared to the time period of the voltage wave.

    Effect of Line Length:
    The charging current in a transmission line is directly proportional to the length of the line. In a short transmission line, the length is small, which means that the charging current is also small. Since the charging current is small, it can be neglected in practical calculations and analysis.

    Importance of Neglecting Charging Currents:
    Neglecting the charging currents simplifies the analysis of the transmission line. It allows for easier calculations of power flow, voltage regulation, and other important parameters. By neglecting the charging currents, the transmission line can be treated as a purely resistive network, which simplifies the analysis and reduces computational complexity.

    Conclusion:
    In conclusion, the charging currents due to shunt admittance can be neglected for short transmission lines. This is because the length of the line is small compared to the wavelength, resulting in small charging currents. Neglecting the charging currents simplifies the analysis and allows for easier calculations of important parameters.

    The percent bias for a generator protection lies between
    • a)
      15 to 20%
    • b)
      10 to 15%
    • c)
      5 to 10%
    • d)
      None of these
    Correct answer is option 'A'. Can you explain this answer?

    Niharika Basu answered
    Explanation:

    Generator protection is an essential aspect of power system operation to ensure the safety and reliability of the power system. One of the critical parameters in generator protection is the percent bias.

    The percent bias is a measure of the difference between the actual and expected values of the measured quantity. In generator protection, the measured quantity is the current or voltage, and the expected value is the threshold or setting value of the protection relay.

    The percent bias is calculated as follows:

    Percent bias = [(Measured value - Expected value) / Expected value] x 100

    Ideally, the percent bias should be zero, indicating that the measured value is equal to the expected value. However, due to various factors such as instrument errors, temperature variations, and external interferences, some degree of bias is inevitable.

    The acceptable range of percent bias for generator protection is typically between 15 to 20%. This range ensures that the protection relay operates reliably and does not trip unnecessarily due to small variations in the measured value.

    If the percent bias is too low, the protection relay may not operate when it should, leading to a potential failure of the generator or other equipment. On the other hand, if the percent bias is too high, the protection relay may trip unnecessarily, leading to a disruption of power supply and unnecessary maintenance.

    Therefore, it is essential to ensure that the percent bias of generator protection is within the acceptable range of 15 to 20%. Regular testing and calibration of the protection system can help to maintain the accuracy and reliability of the protection system.

    Conclusion:

    In conclusion, the acceptable range of percent bias for generator protection is between 15 to 20%. This range ensures that the protection relay operates reliably and does not trip unnecessarily due to small variations in the measured value. Regular testing and calibration of the protection system can help to maintain the accuracy and reliability of the protection system.

     For a fully transposed transmission line
    • a)
      positive, negative and zero sequence impedances are equal.
    • b)
      positive and negative sequence impedances are equal.
    • c)
      zero and positive sequence impedances are equal.
    • d)
      negative and zero sequence impedances are equal
    Correct answer is option 'B'. Can you explain this answer?

    Pooja Patel answered
    Purpose of Transposition:
    • Transmission lines are transposed to prevent interference with neighbouring telephone lines.
    • The transposition arrangement of high voltage lines helps to reduce the system power loss.
    • We have developed transposition system for Single circuit tower using same tension tower with reduced deviation angle.
    • Transposition arrangement of power line helps to reduce the effect of inductive coupling.
    • It is proved more economical Solution, in comparison of the conventional transposition system.
    Important:
    Transposition arrangement
    The transposition arrangement of the conductor can simply show in the following the figure. The conductor in Position 1, Position 2 and Position 3 changes in a specific arrangement to reduce the effect of capacitance and the electrostatic unbalanced voltages.

     
    Z1 = Z2 = ZS - Zm
    Zo = ZS + 2Zm
    Where,
    Z1 = positive sequence impedance
    Z2 = positive sequence impedance
    Z= mutual impedance
    Z= self impedance
    Positive and negative sequence impedances are equal.

    In case of HVDC system, there is
    • a)
      both skin effect and corona loss
    • b)
      skin effect but no corona loss
    • c)
      corona loss but no skin effect 
    • d)
      neither corona loss nor skin effect
    Correct answer is option 'C'. Can you explain this answer?

    Lakshmi Desai answered
    Corona loss and skin effect are two important phenomena that occur in high voltage direct current (HVDC) systems. The correct answer to the question is option 'C', which states that there is corona loss but no skin effect in a HVDC system. Let's explain this answer in detail:

    1. Corona Loss:
    - Corona loss is the power loss that occurs due to the ionization of the surrounding air around the conductors in a high voltage system.
    - In HVDC systems, the voltage levels are very high, which increases the likelihood of corona discharge.
    - When the electric field intensity exceeds a certain threshold, the air molecules around the conductor break down and become ionized, resulting in a corona discharge.
    - This corona discharge leads to power loss and can cause interference with communication systems.
    - Corona loss is more significant in AC systems compared to DC systems because the polarity reversal in AC systems helps in the recovery of the ionized air molecules.
    - However, in HVDC systems, the polarity remains constant, which leads to a continuous corona loss.

    2. Skin Effect:
    - Skin effect is the tendency of alternating current (AC) to flow near the surface of a conductor, causing the effective cross-sectional area available for current flow to decrease.
    - Skin effect occurs due to the self-induced magnetic field generated by the current flowing through the conductor.
    - The magnetic field repels the current from the center of the conductor, causing it to concentrate near the surface.
    - Skin effect is significant in AC systems, where the current alternates direction periodically.
    - In DC systems, the current flows in one direction, and there is no significant skin effect.

    Therefore, in the case of HVDC systems:
    - There is corona loss because of the high voltage levels and continuous polarity, which leads to corona discharge and power loss.
    - There is no skin effect because the DC current flows in one direction, and there is no significant alternating magnetic field that causes the current to concentrate near the surface of the conductor.

    Hence, option 'C' is the correct answer, which states that there is corona loss but no skin effect in HVDC systems.

    If the conductor radius increases, inductance of the line,
    • a)
      increases
    • b)
      decreases
    • c)
      remains same
    • d)
      may increase or decrease
    Correct answer is option 'B'. Can you explain this answer?

    Dipika Basak answered
    Inductance,

    Here, GMR radius of conductor.
    Hence, if radius increases, GMR also increases. As a result of which inductance will decrease.

    A balanced 3-phase system consists of -
    • a)
      Zero sequence currents only
    • b)
      Positive sequence currents only
    • c)
      Negative and zero sequence currents
    • d)
      Zero, negative and positive sequence currents
    Correct answer is option 'B'. Can you explain this answer?

    Swati Patel answered
    Answer:

    A balanced 3-phase system consists of positive sequence currents only. This means that the three phases of the system have equal magnitudes and are 120 degrees apart from each other in terms of phase angle. The positive sequence currents represent the normal operating conditions of a 3-phase system.

    Explanation:

    To understand why a balanced 3-phase system consists of positive sequence currents only, let's first understand what positive, negative, and zero sequence currents are.

    Positive Sequence Currents:
    - In a balanced 3-phase system, the positive sequence currents are the currents that flow in the same sequence and magnitude in all three phases.
    - These currents have a phase angle of 120 degrees between each other.
    - The positive sequence currents represent the normal operating conditions of a 3-phase system.

    Negative Sequence Currents:
    - The negative sequence currents are the currents that flow in the opposite sequence as the positive sequence currents.
    - These currents have a phase angle of -120 degrees between each other.
    - Negative sequence currents can occur due to imbalances in the system, such as unbalanced loads or faults.

    Zero Sequence Currents:
    - The zero sequence currents are the currents that flow in all three phases in the same direction and at the same magnitude.
    - These currents have a phase angle of 0 degrees between each other.
    - Zero sequence currents can occur due to imbalances in the system, such as unbalanced loads or faults.

    Why a balanced 3-phase system consists of positive sequence currents only:
    - A balanced 3-phase system is designed to have equal magnitudes and 120 degrees phase angle separation between the three phases.
    - Under normal operating conditions, the loads in a balanced 3-phase system are also balanced, meaning they draw equal currents from each phase.
    - When the loads are balanced and the system is operating normally, there are no imbalances that would cause the flow of negative or zero sequence currents.
    - Therefore, in a balanced 3-phase system, only positive sequence currents are present.

    In conclusion, a balanced 3-phase system consists of positive sequence currents only because under normal operating conditions, the loads are balanced, and there are no imbalances that would cause the flow of negative or zero sequence currents.

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