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ElectricalPower Generation
PrevNext

The correlation technique relates system load to

A

Various demographic factors

B

Economic factors

C

Both a and b

D

None of the above

Correct Answer

Concept & PrincipleElectricalPower Generation
Option C

Both a and b

Quick Summary: The correlation technique for load forecasting determines the future electrical system load by identifying statistical relationships between the load and exogenous variables such as demographics and economic growth. This method assumes that power consumption is a dependent variable influenced by independent factors like population size, per capita income, and industrial production indices.

๐Ÿ’ก Explanation

The correlation technique for load forecasting determines the future electrical system load by identifying statistical relationships between the load and exogenous variables such as demographics and economic growth. This method assumes that power consumption is a dependent variable influenced by independent factors like population size, per capita income, and industrial production indices.

๐Ÿ”ข Key Formulas

L=ฮฒ0+ฮฒ1X1+ฮฒ2X2+ฯตL = \beta_0 + \beta_1 X_1 + \beta_2 X_2 + \epsilonL=ฮฒ0โ€‹+ฮฒ1โ€‹X1โ€‹+ฮฒ2โ€‹X2โ€‹+ฯต โ€” Multi-variable linear regression model where LLL is load, XnX_nXnโ€‹ are socio-economic factors, and ฮฒ\betaฮฒ are coefficients.

โš™๏ธ Working Principle

The principle relies on regression analysis, where the system load LLL is expressed as a function of various parameters: L=f(x1,x2,...,xn)L = f(x_1, x_2, ..., x_n)L=f(x1โ€‹,x2โ€‹,...,xnโ€‹). By processing historical data for both the load and the influential factors, the utility derives correlation coefficients to quantify the sensitivity of power demand to changes in socio-economic or demographic environments. It is effectively a top-down approach used for long-term planning.

๐Ÿ“Œ Key Points
  • โ–ธ

    Correlation technique is a primary tool for long-term load forecasting.

  • โ–ธ

    Economic variables (GDP, Industrial index) correlate strongly with peak demand.

  • โ–ธ

    Demographic shifts (urbanization, population growth) directly impact residential load patterns.

  • โ–ธ

    Accuracy depends on the quality of historical data for all correlated variables.

โœ… Advantages
  • โ–ธ

    Useful for long-range planning (5-20 years).

  • โ–ธ

    Provides insight into how growth in different sectors impacts the grid.

โŒ Disadvantages / Limitations
  • โ–ธ

    Data availability and reliability for auxiliary variables can be poor.

  • โ–ธ

    Cannot capture sudden, localized, or transient changes effectively.

๐Ÿ› ๏ธ Applications / Uses
  • โ–ธ

    Utility long-term generation capacity planning.

  • โ–ธ

    Regional grid transmission infrastructure expansion.

๐Ÿ“„ Additional Information
  • โ–ธ

    This technique treats load as a dependent variable in a multivariate statistical framework.

  • โ–ธ

    Option A and B are both standard categories of independent variables used in this model, making C the comprehensive choice.

๐Ÿ“Š Diagram / Illustration
Correlation Forecasting ModelDemographicsEconomic DataSystem Load (L)
โœ…

C is correct โ€” The correlation technique integrates both demographic shifts and economic indicators to model and project future power system demand.

Core Concepts Used
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Load Forecasting Regression Analysis Power System Planning
๐Ÿ’ก EXAM TIP

In exams, remember that 'Correlation' techniques focus on external macro-drivers, whereas 'Time-series' techniques (like moving averages) focus strictly on historical load data patterns.

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