Morphometrical analysis of daily load graphs

Komenda, Taras; Komenda, Nataliya

doi:10.1016/j.ijepes.2012.03.028

Cited by 4 publications

(6 citation statements)

References 2 publications

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“…Due to this conversion, the load profile as is introduced as a polygon of a particular form. The polygon as a geometrical object is applicable for the analysis using morphometric criteria . Figure shows an example of the conversion of the load profile from time series representation into a polygon in the radar chart.…”

Section: Morphometric Analysismentioning

confidence: 99%

“…The perimeter, area, and coordinates of weight centre of the polygon are the key parameters in the morphometric method and used for development of the criteria for the daily load profile assessment procedure. The morphometric criteria introduced in work are roundness ( M 1 ), compactness ( M 2 ), and elongation ( M 3 ). However, this work has a lack of theoretical background of the criteria development and does not provide the detailed discussion on how to implement the criteria for the thorough analysis.…”

Section: Morphometric Analysismentioning

confidence: 99%

“…According to the definition, the criterion roundness ( M 1 ) is applied to estimate the relationship between minimum and maximum values of the load and used to characterise the extremum of the daily electrical energy consumption process. This criterion is linked to the shape of the polygon obtained from representation of the load profile as the radar chart.…”

Section: Roundness Criterionmentioning

confidence: 99%

“…The next criterion compactness M 2 is defined as the ratio between the area of the load profile S and its perimeter squared P 2 as it shown in Figure .

M_{2} = \frac{4 italicπS}{P^{2}} .

…”

Section: Compactness Criterionmentioning

confidence: 99%

“…Majority of these methods are based on analysis of the load profile represented as time series (load power against time) . However, this paper focuses on the morphometric method of the load profile analysis proposed in Komenda and Komenda . This method is based on the approach that the daily load profile, originally represented as a xy ‐plot, (time series) is converted into a radar chart and shown as a polygon of a particular form.…”

Section: Introductionmentioning

confidence: 99%

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Criteria of morphometric analysis of a daily load profile

Komenda

Vagapov

2019

Int Trans Electr Energ Syst

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Summary Analysis of electrical loads is crucial for a proper operation and control of electrical energy sources and planning and design of electrical power systems in terms of optimum capacity of the electricity generation. A typical daily load profile significantly varies over the 24‐hour day and requires levelling actions which can be advised from the detailed analysis of the profile. This paper discusses the principles and implementation of morphometric analysis for a daily load profile evaluation using three criteria: roundness, compactness, and elongation. In order to conduct the morphometric analysis, the daily load profile represented as a time series has to be converted into a polygon of a particular form in a radar chart. The criteria for the profile analysis are based on geometrical interpretation of the shape of the polygon. The criterion roundness assesses the maximum and minimum loads of the profile and are related to the ratio of the inner circle of the polygon to the outer circle. The criterion compactness is based on the polygon perimeter and its inner area. The criterion elongation is defined as a relationship between the length of perpendicular to main axis of the polygon and the length of the main axis. The examples of the load profiles represented as a regular polygon and the case study have been used to demonstrate implementation of the analysis using the roundness, compactness, and elongation. It has been shown that the analysis using the morphometric criteria can be effectively applied for the detailed assessment of the load profiles.

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Section: Morphometric Analysismentioning

confidence: 99%

Section: Morphometric Analysismentioning

confidence: 99%

Section: Roundness Criterionmentioning

confidence: 99%

“…The next criterion compactness M 2 is defined as the ratio between the area of the load profile S and its perimeter squared P 2 as it shown in Figure .