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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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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

⚙️ TE • 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.

⚙️TETechnical SolutionConcept & Principle
💡 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.

🔢 Key Formulas

E=∫0TP(t)dtE = \int_{0}^{T} P(t) dtE=∫0T​P(t)dt — Integration of load over time gives total energy

Load Factor=Average LoadMaximum Demand\text{Load Factor} = \frac{\text{Average Load}}{\text{Maximum Demand}}Load Factor=Maximum DemandAverage Load​ — Ratio used for system efficiency analysis

⚙️ 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=∫0TP(t)dtE = \int_{0}^{T} P(t) dtE=∫0T​P(t)dt. Graphically, this integration is equivalent to the area under the load-time curve, representing the total electrical energy consumption or generation.

📌 Key Points
  • ▸

    The ordinate represents the load in kW or MW.

  • ▸

    The abscissa represents time in hours.

  • ▸

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

  • ▸

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

✅ Advantages
  • ▸

    Helps in determining the total energy requirement.

  • ▸

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

❌ Disadvantages / Limitations
  • ▸

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

  • ▸

    Does not account for transmission losses unless specified.

🛠️ Applications / Uses
  • ▸

    Economic load dispatching.

  • ▸

    Determining the capacity of power plants and distribution systems.

📄 Additional Information
  • ▸

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

  • ▸

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

  • ▸

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

📊 Diagram / Illustration
Time (t)Load (kW)Area = Energy (kWh)
✅

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

Core Concepts Used
Click any tag to open in AI Tutor
Load Curve Energy Generation Load Factor
💡 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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