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Electricity demand varies from place to place and from country to country depending on the mix of demand, the climate, and other factors. A typical load curve of a power electricity system through one period of time is normally divided into three parts as base, intermediate and peak-load. While having accurate information for the three parts of a load curve is very important, it is not an easy task to calculate the base, intermediate and peak-load of a particular system. This paper presents a new statistical approach to calculate the three main parts of a system load demand; base, intermediate and peak-load using a cluster analysis which is one of the statistical methods to in data categorizing. The main advantage of the proposed technique is that it can be applied to situations in which LDC or system load factor varies. The applicability of the proposed technique is illustrated by determining the base, intermediate and peak-load for different seasons of Iran power network.