3. INTRODUCTION
• load forecasting involves predicting the future demand for electricity or
other resources on the power grid.
• This can help utilities and other energy providers plan for future energy
needs and ensure that they have enough capacity and resources to meet
those needs.
• There are various methods that can be used for load forecasting, such as
time-series analysis, artificial intelligence and machine learning
algorithms, as well as statistical modeling.
• Load forecasting is an important aspect of energy management and
sustainability, and it plays a crucial role in ensuring the stability and
reliability of power systems.
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Forecasting Horizon’s Duration
5. Exponential Smoothing Technique
1- The simple exponential smoothing method :
suitable for forecasting data with no clear trend or seasonal pattern.
a time series forecasting technique that can forecast data with no trend or seasonal pattern .
calculating the weighted average of past observations, with the weights decreasing exponentially
as the observations get older.
2- Holt’s method :(double/damped exponential smoothing)
exponential smoothing method used for time series forecasting that includes a trend component,
unlike simple exponential smoothing.
Makes use of two different parameters and allows forecasting for series with trend .
3- Holt’s – Winters’ method:(triple exponential smoothing)
involves three smoothing parameters to smooth the data, the trend , and the seasonal index.
6. Procedures of Simple exponential smoothing method:
Step 1: use the mean of the series as the initial Ft at time period t=0
𝐹1 = 𝑦 =
𝑡=1
𝑛
𝑦𝑡
𝑛
Step 2: Calculate the updated estimate by using formula
𝐹𝑡+1 = 𝛼𝑦𝑡 + (1 − 𝛼)𝐹𝑡
where 𝛼 is smoothing constant between 0 and 1.
Step 3:Calculate Forecast Errors:
mean absolute deviation (MAD) = 𝑡=1
𝑛
𝐹𝑡 − 𝑦𝑡 /𝑛
Mean squared error (MSE) = 𝑡=1
𝑛
(𝐹𝑡−𝑦𝑡)2/𝑛
mean absolute percentage error(MAPE) = 𝑡=1
𝑛
𝐹𝑡 − 𝑦𝑡 /𝑦𝑡 /n
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1st day of 2002
When α=0.2
MAD= 0.047834057 & MAPE= 0.098500406
When α=0.8
MAD= 0.024304381 & MAPE= 0.049728335
8. 2nd day of 2002
When α=0.2
MAD= 0.062811087 & MAPE= 0.121936212
When α=0.8
MAD= 0.032535504 & MAPE= 0.062969068
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3rd day of 2002
When α=0.2
MAD= 0.057253517 & MAPE= 0.11448434
When α=0.8
MAD= 0.029944145 & MAPE= 0.059418365