Application of data-driven models in the analysis of marine power systems

Abstract Utilization of measurements from on-board monitoring systems of marine vessels is a part of shipbuilding industry’s digitalization phase. The data collected can be used to verify and improve vessel’s power system design. Deployment of data-driven statistical models can enhance the knowledge about the power requirements. In this study, we describe a data-driven statistical model that can be used to study and analyze the power requirement of a vessel, which might help to understand the key factors that influence the power and to quantify their contribution. We propose a powerful tool namely, generalized additive model (GAM), which allows us to model nonlinearities. We build the GAM to see the relationship between power consumed and the key influential factors for a power system based on real data from a platform supply vessel (PSV) in a dynamic positioning (DP) mode with diesel-electric configuration. We also describe the importance of feature extraction based on Hilbert Transform to improve the model. In addition, we fit the linear regression (LR) model as a reference model. In the last phase we verify the results of GAM, LR with simulation model from ShipX to show that the data-driven model is within the boundaries of power requirement from simulations.

[1]  Eilif Pedersen,et al.  Data-Driven Methodology for the Analysis of Operational Profile and the Quantification of Electrical Power Variability on Marine Vessels , 2019, IEEE Transactions on Power Systems.

[2]  Tor A. Johansen,et al.  Dynamic Positioning System as Dynamic Energy Storage on Diesel-Electric Ships , 2014, IEEE Transactions on Power Systems.

[3]  Asgeir J. Sørensen,et al.  Sea state estimation using multiple ships simultaneously as sailing wave buoys , 2019, Applied Ocean Research.

[4]  Leo H. Holthuijsen Waves in Oceanic and Coastal Waters: Linear wave theory , 2007 .

[5]  Mukund R. Patel,et al.  Shipboard Electrical Power Systems , 2011 .

[6]  S. Wood Generalized Additive Models: An Introduction with R , 2006 .

[7]  Trevor Hastie,et al.  The Elements of Statistical Learning , 2001 .

[8]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[9]  Eilif Pedersen,et al.  Comparison of delayless digital filtering algorithms and their application to multi-sensor signal processing , 2019 .

[10]  Eilif Pedersen,et al.  Complementarity of Data-Driven and Simulation Modeling Based on the Power Plant Model of the Offshore Vessel , 2017 .

[11]  Asgeir J. Sørensen,et al.  Sea state estimation using vessel response in dynamic positioning , 2018 .

[12]  Daniela M. Witten,et al.  An Introduction to Statistical Learning: with Applications in R , 2013 .

[13]  Shyh-Jier Huang,et al.  Short-term load forecasting via ARMA model identification including non-Gaussian process considerations , 2003 .

[14]  C. Guedes Soares,et al.  Kalman filtering of vessel motions for ocean wave directional spectrum estimation , 2009 .

[15]  Ulrik Dam Nielsen,et al.  Estimations of on-site directional wave spectra from measured ship responses , 2006 .

[16]  Thor I. Fossen,et al.  New concepts for shipboard sea state estimation , 2015, OCEANS 2015 - MTS/IEEE Washington.

[17]  Odd M. Faltinsen,et al.  Sea loads on ships and offshore structures , 1990 .

[18]  Asgeir J. Sørensen,et al.  Marine Vessel and Power Plant System Simulator , 2015, IEEE Access.

[19]  Günther F. Clauss,et al.  Critical Situations of Vessel Operations in Short Crested Seas—Forecast and Decision Support System , 2012 .

[20]  R. Tibshirani,et al.  Generalized additive models for medical research , 1986, Statistical methods in medical research.

[21]  M Hanmandlu,et al.  Load Forecasting Using Hybrid Models , 2011, IEEE Transactions on Power Systems.

[22]  Karen L. Butler-Purry,et al.  Reactive Power Coordination of Shipboard Power Systems in Presence of Pulsed Loads , 2013, IEEE Transactions on Power Systems.

[23]  P. McCullagh,et al.  Generalized Linear Models , 1984 .

[24]  Ulrik Dam Nielsen,et al.  A Concise Account of Techniques Available for Shipboard Sea State Estimation , 2017 .

[25]  Alaa E. Mansour,et al.  Estimation of ship motions using closed-form expressions , 2004 .

[26]  James Wolfe,et al.  Advanced Methods for Tabulation of Electrical Loads During Special Modes of Marine Vessel Operation , 2017, IEEE Transactions on Industry Applications.

[27]  Trevor Hastie,et al.  An Introduction to Statistical Learning , 2013, Springer Texts in Statistics.

[28]  Thor I. Fossen,et al.  Marine Control Systems Guidance, Navigation, and Control of Ships, Rigs and Underwater Vehicles , 2002 .

[29]  C. Soares,et al.  Wave Period Distribution in Mixed Sea-States , 2004 .

[30]  Michael Feldman,et al.  Hilbert Transform Applications in Mechanical Vibration: Feldman/Hilbert Transform Applications in Mechanical Vibration , 2011 .

[31]  Eilif Pedersen,et al.  Investigation of drivetrain losses of a DP vessel , 2017, 2017 IEEE Electric Ship Technologies Symposium (ESTS).

[32]  M. Ochi Ocean Waves: The Stochastic Approach , 1998 .

[33]  Richard G. Lyons,et al.  Understanding Digital Signal Processing , 1996 .

[34]  Alf Kåre Ådnanes,et al.  Maritime Electrical Installations And Diesel Electric Propulsion , 2003 .

[35]  F. Dominici,et al.  On the use of generalized additive models in time-series studies of air pollution and health. , 2002, American journal of epidemiology.

[36]  Toshio Iseki,et al.  Bayesian estimation of directional wave spectra based on ship motions , 1998 .

[37]  R. Tibshirani,et al.  Linear Smoothers and Additive Models , 1989 .

[38]  S. Hahn Hilbert Transforms in Signal Processing , 1996 .

[39]  Robert B. Randall,et al.  Vibration-based Condition Monitoring: Industrial, Aerospace and Automotive Applications , 2011 .

[40]  Alexandre N. Simos,et al.  Estimating directional wave spectrum based on stationary ship motion measurements , 2003 .