Multifractal detrended cross-correlation analysis of Indian Electricity market

M. Pal, P. Madhusudana Rao, P. Manimaran
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引用次数: 2

Abstract

In this paper, we investigate the cross-correlation behavior and multifractal characteristics of Indian electricity energy exchange rate time series of two extreme season's i.e. summer and winter through the recently developed multifractal detrended cross-correlation analysis method. For this purpose, we have collected the time series over 15 min time interval of the electricity market clearing volume and price before transmission congestion during peak summer i.e. month of May and peak winter i.e. month of December for the years 2012, 2013 and 2014. The cross-correlation analysis was carried out between volume and price of summer and winter data. From our analysis, we observe a cross over in time scale s* of the fluctuation function and the scaling exponents were calculated for long term (>s*) and short term (<; s*). For long term, cross-correlation behavior between price and volume show strong anti persistent behavior for both for summer and winter whereas in short-term, cross-correlation show persistent behavior for both summer and winter except summer in the year 2012. The multifractal nature is present in all the bivariate time series in all the years.
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印度电力市场的多重分形去趋势互相关分析
本文采用近年来发展起来的多重分形去趋势互相关分析方法,研究了印度夏季和冬季两个极端季节的电力能源汇率时间序列的互相关行为和多重分形特征。为此,我们收集了2012年、2013年和2014年夏季高峰(即5月)和冬季高峰(即12月)在输电阻塞前超过15分钟时间间隔的电力市场出清量和价格的时间序列。对夏季和冬季数据的量价进行了互相关分析。从我们的分析中,我们观察到波动函数在时间尺度s*上存在交叉,并且计算了长期(>s*)和短期(<;*)。长期来看,夏、冬两季的价量互相关均表现出较强的反持续行为;短期来看,除2012年夏季外,夏、冬两季的价量互相关均表现出较强的持续行为。所有年份的二元时间序列都具有多重分形特征。
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