2015
DOI: 10.1109/tpwrs.2014.2329489
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Statistical Analysis and Forecasting of Damping in the Nordic Power System

Abstract: This paper presents an application of multiple linear regression (MLR) to extract significant correlations between damping of electromechanical modes and system operating conditions and to forecast future damping values, based on existing day-ahead market forecasts for power flows and generation. The presented analysis uses measurements from the Nordic power system. First, a static MLR model is developed to explain the variability of the damping of the 0.35-Hz inter-area mode in the Nordic system. Together wit… Show more

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Cited by 14 publications
(7 citation statements)
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“…Heteroscedasticity occurs whenever the confidence intervals of a prediction are different for each time. 2 In the STLF environment, different 'Auto-regressive conditional heteroscedasticity (ARCH)' approaches are as follows. The 'Generalized autoregressive conditional heteroscedasticity (GARCH)' is often used in a single variable as well as multi-variable scenario as in TSA [59].To predict energy usage and gasoline consumption in China, ANN was put to use to integrate 'seasonal generalized autoregressive conditional heteroscedasticity (SEGARCH)' and 'Winter model with an exponential form of generalized autoregressive conditional heteroscedasticity (WARCH)', two regression models, this approach has better forecasting results.…”
Section: 73mentioning
confidence: 99%
“…Heteroscedasticity occurs whenever the confidence intervals of a prediction are different for each time. 2 In the STLF environment, different 'Auto-regressive conditional heteroscedasticity (ARCH)' approaches are as follows. The 'Generalized autoregressive conditional heteroscedasticity (GARCH)' is often used in a single variable as well as multi-variable scenario as in TSA [59].To predict energy usage and gasoline consumption in China, ANN was put to use to integrate 'seasonal generalized autoregressive conditional heteroscedasticity (SEGARCH)' and 'Winter model with an exponential form of generalized autoregressive conditional heteroscedasticity (WARCH)', two regression models, this approach has better forecasting results.…”
Section: 73mentioning
confidence: 99%
“…The model adequacy assessment is argued in detail here before the discussion of ANOVA results as the results make sense only if model passes the adequacy assessment. To verify that it is sufficient to include only linear terms for the data, we performed the four tests for model adequacy checking which confirms the linear relation between the variable has also been performed as described in [29,30]. The model assessment of the data is done with the aid of residual plots.…”
Section: Model Adequacy Assessmentmentioning
confidence: 99%
“…In the above equation Y i is the observed value and Y i ′ is the predicted value. The relation derived for the lower and upper bandwidths is given by (30) and 31…”
Section: Derivation Of Empirical Relation Using Multiple Regressionmentioning
confidence: 99%
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“…Between these two categories, the former approach dominates the other. For instance, linear regression was implemented in [7], [8] to identify the damping sensitivity at an operation point, while weighted linear regression was employed in [9] to find critical variables in the identification procedure. Apart from the regression-type methods, in [10] the problem was formulated as a pattern classification problem, and decision trees were used to predict well or poorly damped oscillations using power flow data.…”
Section: Introductionmentioning
confidence: 99%