Real-time Power System State Estimation and Forecasting via Deep Neural Networks

Contemporary power grids are being challenged by rapid voltage fluctuations that are caused by large-scale deployment of renewable generation, electric vehicles, and demand response programs. In this context, monitoring the grid’s operating conditions in real time becomes increasingly critical. With the emergent large scale and nonconvexity however, the existing power system state estimation (PSSE) schemes become computationally expensive or yield suboptimal performance. To bypass these hurdles, this paper advocates deep neural networks (DNNs) for real-time power system monitoring. By unrolling an iterative physics-based prox-linear solver, a novel model-specific DNN is developed for real-time PSSE with affordable training and minimal tuning effort. To further enable system awareness even ahead of the time horizon, as well as to endow the DNNbased estimator with resilience, deep recurrent neural networks (RNNs) are also pursued for power system state forecasting. Deep RNNs leverage the long-term nonlinear dependencies present in the historical voltage time series to enable forecasting, and they are easy to implement. Numerical tests showcase improved performance of the proposed DNN-based estimation and forecasting approaches compared with existing alternatives. In real load data experiments on the IEEE 118-bus benchmark system, the novel model-specific DNN-based PSSE scheme outperforms nearly by an order-of-magnitude the competing alternatives, including the widely adopted Gauss-Newton PSSE solver.

[1]  Ross Baldick,et al.  Voltage regulation algorithms for multiphase power distribution grids , 2015, 2016 IEEE Power and Energy Society General Meeting (PESGM).

[2]  Yann LeCun,et al.  Learning Fast Approximations of Sparse Coding , 2010, ICML.

[3]  Georgios B. Giannakis,et al.  Topology Identification and Learning over Graphs: Accounting for Nonlinearities and Dynamics , 2018, Proceedings of the IEEE.

[4]  Michael C. Ferris,et al.  A Gauss—Newton method for convex composite optimization , 1995, Math. Program..

[5]  M. Hassanzadeh,et al.  Power system state forecasting using regression analysis , 2012, 2012 IEEE Power and Energy Society General Meeting.

[6]  Gang Wang,et al.  Moving-horizon dynamic power system state estimation using semidefinite relaxation , 2013, 2014 IEEE PES General Meeting | Conference & Exposition.

[7]  Georgios B. Giannakis,et al.  Monitoring and Optimization for Power Grids: A Signal Processing Perspective , 2013, IEEE Signal Processing Magazine.

[8]  J.C.S. de Souza,et al.  Forecasting-Aided State Estimation—Part I: Panorama , 2009, IEEE Transactions on Power Systems.

[9]  Kaveh Dehghanpour,et al.  A Survey on State Estimation Techniques and Challenges in Smart Distribution Systems , 2018, IEEE Transactions on Smart Grid.

[10]  Gang Wang,et al.  Going beyond linear dependencies to unveil connectivity of meshed grids , 2017, 2017 IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP).

[11]  Gang Wang,et al.  Learning ReLU Networks on Linearly Separable Data: Algorithm, Optimality, and Generalization , 2018, IEEE Transactions on Signal Processing.

[12]  Razvan Pascanu,et al.  How to Construct Deep Recurrent Neural Networks , 2013, ICLR.

[13]  A. Abur,et al.  A fast algorithm for the weighted least absolute value state estimation (for power systems) , 1991 .

[14]  Hao Zhu,et al.  Robust Power System State Estimation From Rank-One Measurements , 2019, IEEE Transactions on Control of Network Systems.

[15]  F. J. Soares,et al.  State estimation in distribution smart grids using autoencoders , 2014, 2014 IEEE 8th International Power Engineering and Optimization Conference (PEOCO2014).

[16]  Atif S. Debs,et al.  A Dynamic Estimator for Tracking the State of a Power System , 1970 .

[17]  Stefanie Jegelka,et al.  ResNet with one-neuron hidden layers is a Universal Approximator , 2018, NeurIPS.

[18]  N. Sidiropoulos,et al.  Learning to Optimize: Training Deep Neural Networks for Interference Management , 2017, IEEE Transactions on Signal Processing.

[19]  A. P. A. D. Silva,et al.  State forecasting in electric power systems , 1983 .

[20]  Gang Wang,et al.  Power System State Estimation via Feasible Point Pursuit: Algorithms and Cramér-Rao Bound , 2018, IEEE Transactions on Signal Processing.

[21]  Georgios B. Giannakis,et al.  Scalable Electric Vehicle Charging Protocols , 2015, IEEE Transactions on Power Systems.

[22]  Bikash C. Pal,et al.  Iteratively reweighted least-squares implementation of the WLAV state-estimation method , 2004 .

[23]  Ahmed S. Zamzam,et al.  Data-Driven Learning-Based Optimization for Distribution System State Estimation , 2018, IEEE Transactions on Power Systems.

[24]  Zhao Yang Dong,et al.  Robust Forecasting Aided Power System State Estimation Considering State Correlations , 2018, IEEE Transactions on Smart Grid.

[25]  H. Vincent Poor,et al.  A Learning-to-Infer Method for Real-Time Power Grid Multi-Line Outage Identification , 2017, IEEE Transactions on Smart Grid.

[26]  Qing Ling,et al.  Learning Deep $\ell_0$ Encoders , 2015, 1509.00153.

[27]  Jian Sun,et al.  Deep ADMM-Net for Compressive Sensing MRI , 2016, NIPS.

[28]  Jian Sun,et al.  Deep Residual Learning for Image Recognition , 2015, 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[29]  Stephen P. Boyd,et al.  Proximal Algorithms , 2013, Found. Trends Optim..

[30]  J.C.S. de Souza,et al.  Forecasting-Aided State Estimation—Part II: Implementation , 2009, IEEE Transactions on Power Systems.

[31]  Ami Wiesel,et al.  Deep MIMO detection , 2017, 2017 IEEE 18th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[32]  Gang Wang,et al.  PSSE Redux: Convex Relaxation, Decentralized, Robust, and Dynamic Approaches , 2017, ArXiv.

[33]  Alexandre M. Tartakovsky,et al.  Ensemble Kalman Filter for Dynamic State Estimation of Power Grids Stochastically Driven by Time-Correlated Mechanical Input Power , 2018, IEEE Transactions on Power Systems.

[34]  B. Ripley,et al.  Robust Statistics , 2018, Encyclopedia of Mathematical Geosciences.

[35]  Gang Wang,et al.  Robust and Scalable Power System State Estimation via Composite Optimization , 2017, IEEE Transactions on Smart Grid.

[36]  Jian Sun,et al.  Identity Mappings in Deep Residual Networks , 2016, ECCV.

[37]  Geoffrey E. Hinton,et al.  Learning representations by back-propagating errors , 1986, Nature.

[38]  Lamine Mili,et al.  A Short-Term Nodal Voltage Phasor Forecasting Method Using Temporal and Spatial Correlation , 2016, IEEE Transactions on Power Systems.