Reactive Power Compensation in Electric Arc Furnaces Using Prediction Intervals

This paper proposes a probabilistic method to model the uncertainty of reactive power compensation by static VAr compensators (SVCs) in electric arc furnaces (EAFs). The time-varying characteristics of EAF accentuate the voltage fluctuations and produce flicker in power lines as well as neighboring loads. In order to solve this issue, quick and accurate response of SVC within a half-cycle ahead is required. This paper proposes a nonparametric approach based on lower upper bound estimation method to construct prediction intervals (PIs) for the reactive power in EAFs. Due to the nonlinear nature of reactive power signals in EAFs, a set of PIs are produced and combined to find an optimal aggregated PI. The proposed prediction method provides a faster-than-real-time monitoring of SVC, which aims at high speed and efficient reactive power compensation. In order to find the most satisfying PIs with high coverage probability and low average width, an optimization algorithm is developed to improve the training process of neural networks. The appropriate performance of the proposed method is examined on the practical data gathered from the Mobarakeh Steel Company, Iran.

[1]  Abdollah Kavousi-Fard Modeling Uncertainty in Tidal Current Forecast Using Prediction Interval-Based SVR , 2017, IEEE Transactions on Sustainable Energy.

[2]  Saeid Nahavandi,et al.  Prediction Interval Construction and Optimization for Adaptive Neurofuzzy Inference Systems , 2011, IEEE Transactions on Fuzzy Systems.

[3]  Amir F. Atiya,et al.  Lower Upper Bound Estimation Method for Construction of Neural Network-Based Prediction Intervals , 2011, IEEE Transactions on Neural Networks.

[4]  Fernando Martell,et al.  A novel estimation of electrical and cooling losses in electric arc furnaces , 2012 .

[5]  Gary W. Chang,et al.  An accurate hybrid intelligent approach for forecasting flicker severity caused by electric arc furnaces , 2015 .

[6]  H. Samet,et al.  Updating stochastic models of arc furnace reactive power by genetic algorithm , 2010, Proceedings of 14th International Conference on Harmonics and Quality of Power - ICHQP 2010.

[7]  Saeid Nahavandi,et al.  Optimizing the quality of bootstrap-based prediction intervals , 2011, The 2011 International Joint Conference on Neural Networks.

[8]  Po-Yi Huang,et al.  Electric Arc Furnace Voltage Flicker Analysis and Prediction , 2011, IEEE Transactions on Instrumentation and Measurement.

[9]  M. Parniani,et al.  Predictive Method for Improving SVC Speed in Electric Arc Furnace Compensation , 2007, IEEE Transactions on Power Delivery.

[10]  A. Weigend,et al.  Estimating the mean and variance of the target probability distribution , 1994, Proceedings of 1994 IEEE International Conference on Neural Networks (ICNN'94).

[11]  Stefano Di Gennaro,et al.  Modelling of electrical energy consumption in an electric arc furnace using artificial neural networks , 2016 .

[12]  Tom Heskes,et al.  Practical Confidence and Prediction Intervals , 1996, NIPS.

[13]  Cheng-I Chen,et al.  A Neural-Network-Based Data-Driven Nonlinear Model on Time- and Frequency-Domain Voltage–Current Characterization for Power-Quality Study , 2015, IEEE Transactions on Power Delivery.

[14]  T.A. Haskew,et al.  A Time-Domain AC Electric Arc Furnace Model for Flicker Planning Studies , 2009, IEEE Transactions on Power Delivery.

[15]  Erik Valdemar Cuevas Jiménez,et al.  A new algorithm inspired in the behavior of the social-spider for constrained optimization , 2014, Expert Syst. Appl..

[16]  Behrooz Vahidi,et al.  A Predictive Reactive Power Measuring Based on Time Series and DLSL Algorithm for Compensating Applications , 2015, IEEE Transactions on Instrumentation and Measurement.

[17]  J. D. Lavers,et al.  Dynamic reconstruction of nonlinear v-i characteristic in electric arc furnaces using adaptive neuro-fuzzy rule-based networks , 2011, Appl. Soft Comput..

[18]  Niao-na Zhang,et al.  The operating conditions prediction of electric arc furnace based on least squares support vector machines , 2010, 2010 International Conference on Computer, Mechatronics, Control and Electronic Engineering.

[19]  Haidar Samet,et al.  Updating stochastic model coefficients for prediction of arc furnace reactive power , 2009 .

[20]  Saeid Nahavandi,et al.  A New Fuzzy-Based Combined Prediction Interval for Wind Power Forecasting , 2016, IEEE Transactions on Power Systems.

[21]  Haidar Samet,et al.  Employing stochastic models for prediction of arc furnace reactive power to improve compensator performance , 2008 .

[22]  Heekuck Oh,et al.  Neural Networks for Pattern Recognition , 1993, Adv. Comput..

[23]  David J. C. MacKay,et al.  The Evidence Framework Applied to Classification Networks , 1992, Neural Computation.

[24]  Abdollah Kavousi-Fard,et al.  A Novel Probabilistic Method to Model the Uncertainty of Tidal Prediction , 2017, IEEE Transactions on Geoscience and Remote Sensing.

[25]  G.W. Chang,et al.  A Neural-Network-Based Method of Modeling Electric Arc Furnace Load for Power Engineering Study , 2010, IEEE Transactions on Power Systems.

[26]  S. Nahavandi,et al.  Wind farm power uncertainty quantification using a mean-variance estimation method , 2012, 2012 IEEE International Conference on Power System Technology (POWERCON).

[27]  V.V. Sastry,et al.  Function space valued Markov model for electric arc furnace , 2004, IEEE Transactions on Power Systems.