Quantum computing based hybrid deep learning for fault diagnosis in electrical power systems

Abstract Quantum computing (QC) and deep learning have shown promise of supporting transformative advances and have recently gained popularity in a wide range of areas. This paper proposes a hybrid QC-based deep learning framework for fault diagnosis of electrical power systems that combine the feature extraction capabilities of conditional restricted Boltzmann machine with an efficient classification of deep networks. Computational challenges stemming from the complexities of such deep learning models are overcome by QC-based training methodologies that effectively leverage the complementary strengths of quantum assisted learning and classical training techniques. The proposed hybrid QC-based deep learning framework is tested on a simulated electrical power system with 30 buses and wide variations of substation and transmission line faults, to demonstrate the framework’s applicability, efficiency, and generalization capabilities. High computational efficiency is enjoyed by the proposed hybrid approach in terms of computational effort required and quality of diagnosis performance over classical training methods. In addition, superior and reliable fault diagnosis performance with faster response time is achieved over state-of-the-art pattern recognition methods based on artificial neural networks (ANN) and decision trees (DT).

[1]  Alexander Steinecker,et al.  Automated fault detection using deep belief networks for the quality inspection of electromotors , 2014 .

[2]  U. H. Bezerra,et al.  Simultaneous Fault Section Estimation and Protective Device Failure Detection Using Percentage Values of the Protective Devices Alarms , 2013, IEEE Transactions on Power Systems.

[3]  M. Benedetti,et al.  Estimation of effective temperatures in quantum annealers for sampling applications: A case study with possible applications in deep learning , 2015, 1510.07611.

[4]  H. Nishimori,et al.  Quantum annealing in the transverse Ising model , 1998, cond-mat/9804280.

[5]  G. Rose,et al.  Finding low-energy conformations of lattice protein models by quantum annealing , 2012, Scientific Reports.

[6]  Avinash Kumar Sinha,et al.  A wavelet multiresolution analysis for location of faults on transmission lines , 2003 .

[7]  S. Aaronson Read the fine print , 2015, Nature Physics.

[8]  G. Panda,et al.  Power Quality Analysis Using S-Transform , 2002, IEEE Power Engineering Review.

[9]  Geoffrey E. Hinton,et al.  Phone recognition using Restricted Boltzmann Machines , 2010, 2010 IEEE International Conference on Acoustics, Speech and Signal Processing.

[10]  Daniel Hissel,et al.  Online implementation of SVM based fault diagnosis strategy for PEMFC systems , 2015 .

[11]  Aidan Roy,et al.  Solving SAT and MaxSAT with a Quantum Annealer: Foundations and a Preliminary Report , 2017, FroCoS.

[12]  Subhransu Ranjan Samantaray,et al.  Decision tree-based fault zone identification and fault classification in flexible AC transmissions-based transmission line , 2009 .

[13]  Ganapati Panda,et al.  Application of minimal radial basis function neural network to distance protection , 2001 .

[14]  Young Moon Park,et al.  A logic based expert system (LBES) for fault diagnosis of power system , 1997 .

[15]  Ruixin Yang,et al.  Wavelet transform based energy management strategies for plug-in hybrid electric vehicles considering temperature uncertainty , 2019 .

[16]  Paul Smolensky,et al.  Information processing in dynamical systems: foundations of harmony theory , 1986 .

[17]  Jinliang He,et al.  Fault detection, classification and location for transmission lines and distribution systems: a review on the methods , 2016, High Voltage.

[18]  Aidan Roy,et al.  Solving SAT and MaxSAT with a Quantum Annealer: Foundations, Encodings, and Preliminary Results , 2018, Inf. Comput..

[19]  Shenghui Zhao,et al.  Using conditional restricted Boltzmann machines for spectral envelope modeling in speech bandwidth extension , 2016, 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[20]  Geoffrey E. Hinton,et al.  Reducing the Dimensionality of Data with Neural Networks , 2006, Science.

[21]  Geoffrey E. Hinton Training Products of Experts by Minimizing Contrastive Divergence , 2002, Neural Computation.

[22]  N.S.D. Brito,et al.  Fault detection and classification in transmission lines based on wavelet transform and ANN , 2006, IEEE Transactions on Power Delivery.

[23]  Rudra Prakash Maheshwari,et al.  Fault classification technique for series compensated transmission line using support vector machine , 2010 .

[24]  Mo-Yuen Chow,et al.  A classification approach for power distribution systems fault cause identification , 2006, IEEE Transactions on Power Systems.

[25]  Zhenpo Wang,et al.  Fault and defect diagnosis of battery for electric vehicles based on big data analysis methods , 2017 .

[26]  Tao Jin,et al.  A method for the identification of low frequency oscillation modes in power systems subjected to noise , 2017 .

[27]  Geoffrey E. Hinton,et al.  Restricted Boltzmann machines for collaborative filtering , 2007, ICML '07.

[28]  Roman Orus,et al.  Quantum computing for finance: Overview and prospects , 2018, Reviews in Physics.

[29]  J.G. Vlachogiannis,et al.  A Comparative Study on Particle Swarm Optimization for Optimal Steady-State Performance of Power Systems , 2006, IEEE Transactions on Power Systems.

[30]  A. Y. Chikhani,et al.  Genetic Algorithms Based Economic Dispatch for Cogeneration Units Considering Multiplant , 2022 .

[31]  Seth Lloyd,et al.  Quantum algorithm for data fitting. , 2012, Physical review letters.

[32]  Rupak Biswas,et al.  Determination and correction of persistent biases in quantum annealers , 2015, Scientific Reports.

[33]  J. Christopher Beck,et al.  A Hybrid Quantum-Classical Approach to Solving Scheduling Problems , 2016, SOCS.

[34]  Daniel A. Lidar,et al.  Adiabatic quantum computation , 2016, 1611.04471.

[35]  Z. Gaing Wavelet-based neural network for power disturbance recognition and classification , 2004 .

[36]  Fengqi You,et al.  Quantum Computing Assisted Deep Learning for Fault Detection and Diagnosis in Industrial Process Systems , 2020, Comput. Chem. Eng..

[37]  Jacob biamonte,et al.  Quantum machine learning , 2016, Nature.

[38]  Raj Aggarwal,et al.  Artificial neural networks in power systems. II. Types of artificial neural networks , 1998 .

[39]  Geoffrey E. Hinton Deep belief networks , 2009, Scholarpedia.

[40]  Bryan O'Gorman,et al.  A case study in programming a quantum annealer for hard operational planning problems , 2014, Quantum Information Processing.

[41]  Ke Zhang,et al.  A novel fault diagnostic method in power converters for wind power generation system , 2020 .

[42]  Zhanpeng Zhang,et al.  A deep belief network based fault diagnosis model for complex chemical processes , 2017, Comput. Chem. Eng..

[43]  David Von Dollen,et al.  Traffic Flow Optimization Using a Quantum Annealer , 2017, Front. ICT.

[44]  Gerald T. Heydt,et al.  Applications of the windowed FFT to electric power quality assessment , 1999 .

[45]  Peter W. Shor,et al.  Algorithms for quantum computation: discrete logarithms and factoring , 1994, Proceedings 35th Annual Symposium on Foundations of Computer Science.

[46]  Miguel Á. Carreira-Perpiñán,et al.  On Contrastive Divergence Learning , 2005, AISTATS.

[47]  Pingfeng Wang,et al.  Failure diagnosis using deep belief learning based health state classification , 2013, Reliab. Eng. Syst. Saf..

[48]  Steven X. Ding,et al.  A Survey of Fault Diagnosis and Fault-Tolerant Techniques—Part I: Fault Diagnosis With Model-Based and Signal-Based Approaches , 2015, IEEE Transactions on Industrial Electronics.

[49]  Geoffrey E. Hinton,et al.  Conditional Restricted Boltzmann Machines for Structured Output Prediction , 2011, UAI.

[50]  I. Chuang,et al.  Quantum Computation and Quantum Information: Bibliography , 2010 .

[51]  Fengqi You,et al.  Quantum Computing based Hybrid Solution Strategies for Large-scale Discrete-Continuous Optimization Problems , 2019, Comput. Chem. Eng..

[52]  Geoffrey E. Hinton,et al.  Factored conditional restricted Boltzmann Machines for modeling motion style , 2009, ICML '09.

[53]  P. Love,et al.  Thermally assisted adiabatic quantum computation. , 2006, Physical review letters.