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ElectricalPower Generation
PrevNext

The area under the load curve represents

A

The average load on power system

B

Maximum demand

C

Number of units generated

D

Load factor

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalPower Generation
Option C

Number of units generated

Quick Summary:

The load curve represents the variation of load on a power station with respect to time. The area under this curve corresponds to the integral of the load (power) over a specific time interval, which yields the total energy produced, measured in kilowatt-hours (kWh) or units generated.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

The load curve represents the variation of load on a power station with respect to time. The area under this curve corresponds to the integral of the load (power) over a specific time interval, which yields the total energy produced, measured in kilowatt-hours (kWh) or units generated.

ЁЯФв Key Formulas

E=тИл0TP(t)dtE = \int_{0}^{T} P(t) dtE=тИл0TтАЛP(t)dt тАФ Integration of load over time gives total energy

Load┬аFactor=Average┬аLoadMaximum┬аDemand\text{Load Factor} = \frac{\text{Average Load}}{\text{Maximum Demand}}Load┬аFactor=Maximum┬аDemandAverage┬аLoadтАЛ тАФ Ratio used for system efficiency analysis

тЪЩя╕П Working Principle

In a power system, load PPP varies over time ttt. The instantaneous power P(t)P(t)P(t) integrated over a time duration TTT gives the energy EEE delivered: E=тИл0TP(t)dtE = \int_{0}^{T} P(t) dtE=тИл0TтАЛP(t)dt. Graphically, this integration is equivalent to the area under the load-time curve, representing the total electrical energy consumption or generation.

ЁЯУМ Key Points
  • тЦ╕

    The ordinate represents the load in kW or MW.

  • тЦ╕

    The abscissa represents time in hours.

  • тЦ╕

    Area under the curve = (Average load in kW) ├Ч (Time in hours).

  • тЦ╕

    It is essential for calculating the cost of generation and planning plant capacity.

тЬЕ Advantages
  • тЦ╕

    Helps in determining the total energy requirement.

  • тЦ╕

    Facilitates the selection of the most economical number and size of generating units.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Cannot be used to directly determine the peak capacity required without historical data.

  • тЦ╕

    Does not account for transmission losses unless specified.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Economic load dispatching.

  • тЦ╕

    Determining the capacity of power plants and distribution systems.

ЁЯУД Additional Information
  • тЦ╕

    Maximum demand is the highest point on the load curve, not the area.

  • тЦ╕

    Load factor is a dimensionless ratio derived from the area (Total Energy) divided by (Max Demand ├Ч Time).

  • тЦ╕

    Average load is the constant load that would consume the same total energy as the actual variable load over the same period.

ЁЯУК Diagram / Illustration
Time (t)Load (kW)Area = Energy (kWh)
тЬЕ

C is correct тАФ The area under the load curve represents the total electrical energy (in kWh) generated by the station over the given period.

Core Concepts Used
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Load Curve Energy Generation Load Factor
ЁЯТб EXAM TIP

Remember: Area = Energy, Peak point = Maximum Demand, and Ratio (Avg/Peak) = Load Factor. These three concepts are frequently tested together in power systems.

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