Probabilistic Hosting Capacity for Active Distribution Networks

The increased connection of distributed generation (DG), such as photovoltaic (PV) and wind turbine (WT), has shifted the current distribution networks from being passive (consuming energy) into active (consuming/producing energy). However, there is still no consensus about how to determine the maximum amount of DGs that are allowed to be connected, i.e., how to quantify a so-called “hosting capacity” (HC). Therefore, this paper proposes a novel risk assessment tool for estimating network HC by considering uncertainties associated with PV, WT, and loads. This evaluation is performed using the likelihood approximation approach. The paper, also, proposes a utilization of clearness index for localized solar irradiance prediction of PV. In addition, we propose the use of sparse grid technique as an effective means for uncertainty computation while the use of Monte Carlo technique is taken for a comparison purpose. Two actual distribution networks (11-buses and South Australian large feeder) are considered as case studies to demonstrate the usefulness of the proposed tool.

[1]  P. Bendt,et al.  The frequency distribution of daily insolation values , 1981 .

[2]  Fainan Hassan,et al.  Integration of Distributed Generation in the Power System: Bollen/Integration of Distributed Generation , 2011 .

[3]  R. A. Shayani,et al.  Photovoltaic Generation Penetration Limits in Radial Distribution Systems , 2011, IEEE Transactions on Power Systems.

[4]  Shailesh Kumar,et al.  Hourly diffuse fraction correlation at a tropical location , 1994 .

[5]  Luis F. Ochoa,et al.  Advanced Network Management Systems: A Risk-Based AC OPF Approach , 2015, IEEE Transactions on Power Systems.

[6]  C. F. Walker,et al.  Residential Load Shape Modelling Based on Customer Behavior , 1985, IEEE Transactions on Power Apparatus and Systems.

[7]  G. Kerber Aufnahmefähigkeit von Niederspannungsverteilnetzen für die Einspeisung aus Photovoltaikkleinanlagen , 2011 .

[8]  Enrico Zio,et al.  Monte Carlo Simulation-Based Probabilistic Assessment of DG Penetration in Medium Voltage Distribution Networks , 2015 .

[9]  Florian Heiss,et al.  Likelihood approximation by numerical integration on sparse grids , 2008 .

[10]  John Boland,et al.  Modelling of diffuse solar fraction with multiple predictors , 2010 .

[11]  Pierluigi Siano,et al.  A Review of Agent and Service-Oriented Concepts Applied to Intelligent Energy Systems , 2014, IEEE Transactions on Industrial Informatics.

[12]  Matthew Rylander,et al.  Streamlined Method for Determining Distribution System Hosting Capacity , 2015, IEEE Transactions on Industry Applications.

[13]  K. G. Terry Hollands,et al.  A three-state model for the probability distribution of instantaneous solar radiation, with applications , 2013 .

[14]  Venizelos Efthymiou,et al.  Towards the establishment of maximum PV generation limits due to power quality constraints , 2012 .

[15]  Pierluigi Siano,et al.  Real Time Operation of Smart Grids via FCN Networks and Optimal Power Flow , 2012, IEEE Transactions on Industrial Informatics.

[16]  Amauri Pereira de Oliveira,et al.  Modelling frequency distributions of 5 minute-averaged solar radiation indexes using Beta probability functions , 2003 .

[17]  J. Orgill,et al.  Correlation equation for hourly diffuse radiation on a horizontal surface , 1976 .

[18]  Fabrizio Giulio Luca Pilo,et al.  Survey on methods and tools for planning of ‘active’ distribution networks , 2012 .

[19]  H. Kambezidis,et al.  DIFFUSE SOLAR IRRADIATION MODEL EVALUATION IN THE NORTH MEDITERRANEAN BELT AREA , 2001 .

[20]  Harry Suehrcke The effect of time errors on the accuracy of solar radiation measurements , 1994 .

[21]  Oriol Gomis-Bellmunt,et al.  Trends in Microgrid Control , 2014, IEEE Transactions on Smart Grid.

[22]  William A. Beckman,et al.  A bi-variable probability density function for the daily clearness index , 2003 .

[23]  B. Kroposki,et al.  A comparison of photovoltaic module performance evaluation methodologies for energy ratings , 1994, Proceedings of 1994 IEEE 1st World Conference on Photovoltaic Energy Conversion - WCPEC (A Joint Conference of PVSC, PVSEC and PSEC).

[24]  Walmir Freitas,et al.  Method for determining the maximum allowable penetration level of distributed generation without steady-state voltage violations , 2010 .

[25]  Benjamin Y. H. Liu,et al.  The interrelationship and characteristic distribution of direct, diffuse and total solar radiation , 1960 .

[26]  R. Chedid,et al.  Probabilistic performance assessment of autonomous solar-wind energy conversion systems , 1999 .

[27]  K. Hollands,et al.  A probability density function for the clearness index, with applications , 1983 .

[28]  H. Suehrcke,et al.  The frequency distribution of instantaneous insolation values , 1988 .

[29]  Ali Ahmadian,et al.  Optimal Storage Planning in Active Distribution Network Considering Uncertainty of Wind Power Distributed Generation , 2016, IEEE Transactions on Power Systems.

[30]  Gerard Ledwich,et al.  Coordinated Control of Grid-Connected Photovoltaic Reactive Power and Battery Energy Storage Systems to Improve the Voltage Profile of a Residential Distribution Feeder , 2014, IEEE Transactions on Industrial Informatics.

[31]  A. Sannino,et al.  Probabilistic Approach to the Design of Photovoltaic Distributed Generation in Low Voltage Feeder , 2006, 2006 International Conference on Probabilistic Methods Applied to Power Systems.

[32]  Math Bollen,et al.  THE TRANSPARANT HOSTING-CAPACITY APPROACH - OVERVIEW, APPLICATIONS AND DEVELOPMENTS , 2015 .

[33]  Bernhard Sick,et al.  Capacity of Low-Voltage Grids for Distributed Generation: Classification by Means of Stochastic Simulations , 2015, IEEE Transactions on Power Systems.

[34]  Peng Zhang,et al.  Reliability Evaluation of Active Distribution Systems Including Microgrids , 2013, IEEE Transactions on Power Systems.

[35]  Behnam Mohammadi-Ivatloo,et al.  Dynamic planning of distributed generation units in active distribution network , 2015 .

[36]  W. Beckman,et al.  Solar Engineering of Thermal Processes: Duffie/Solar Engineering 4e , 2013 .

[37]  Pierluigi Siano Evaluating the Impact of Registered Power Zones Incentive on Wind Systems Integration in Active Distribution Networks , 2015, IEEE Transactions on Industrial Informatics.

[38]  Claudia Furlan,et al.  The role of clouds in improving the regression model for hourly values of diffuse solar radiation , 2012 .

[39]  Jan Asle Olseth,et al.  A probability density model for hourly total and beam irradiance on arbitrarily orientated planes , 1987 .

[40]  Thomas Gerstner,et al.  Numerical integration using sparse grids , 2004, Numerical Algorithms.

[41]  L.F. Ochoa,et al.  Distribution network capacity assessment: Variable DG and active networks , 2010, IEEE PES General Meeting.

[42]  Fushuan Wen,et al.  Optimal Dispatch of Electric Vehicles and Wind Power Using Enhanced Particle Swarm Optimization , 2012, IEEE Transactions on Industrial Informatics.

[43]  Ramesh C. Bansal,et al.  Probabilistic load flow for distribution systems with uncertain PV generation , 2016 .

[44]  Josep M. Guerrero,et al.  Advanced Control Architectures for Intelligent Microgrids—Part I: Decentralized and Hierarchical Control , 2013, IEEE Transactions on Industrial Electronics.

[45]  Mohammad A. S. Masoum,et al.  Increasing distributed generation penetration in multiphase distribution networks considering grid losses, maximum loading factor and bus voltage limits , 2012 .

[46]  Alejandro Navarro-Espinosa,et al.  Representative residential LV feeders: A case study for the North West of England , 2016, 2016 IEEE Power and Energy Society General Meeting (PESGM).

[47]  Zhou Jin,et al.  Estimation of daily diffuse solar radiation in China , 2004 .

[48]  Henryk Wozniakowski,et al.  Weighted Tensor Product Algorithms for Linear Multivariate Problems , 1999, J. Complex..

[49]  M. Jurado,et al.  Statistical distribution of the clearness index with radiation data integrated over five minute intervals , 1995 .

[50]  Math Bollen,et al.  Dimensioning of Energy Storage for Increased Integration of Wind Power , 2013 .

[51]  Amir Ameli,et al.  A Multiobjective Particle Swarm Optimization for Sizing and Placement of DGs from DG Owner's and Distribution Company's Viewpoints , 2014, IEEE Transactions on Power Delivery.

[52]  Marija Zlata Boznar,et al.  Modeling hourly diffuse solar-radiation in the city of São Paulo using a neural-network technique , 2004 .

[53]  George J. Cokkinides,et al.  A new probabilistic power flow analysis method , 1990 .

[54]  Lucas Alados-Arboledas,et al.  One-minute global irradiance probability density distributions conditioned to the optical air mass , 1998 .

[55]  Amauri Pereira de Oliveira,et al.  A new algorithm to estimate sky condition based on 5 minutes-averaged values of clearness index and relative optical air mass , 2007 .

[56]  S. Conti,et al.  Probabilistic load flow using Monte Carlo techniques for distribution networks with photovoltaic generators , 2007 .

[57]  Valeriy Vyatkin,et al.  Virtual Power Plant for Grid Services Using IEC 61850 , 2016, IEEE Transactions on Industrial Informatics.

[58]  Shailesh Kumar,et al.  A monthly probability distribution function of daily global irradiation values appropriate for both tropical and temperate locations , 1987 .

[59]  Farrokh Albuyeh,et al.  Grid of the future , 2009, IEEE Power and Energy Magazine.

[60]  William H. Kersting Series Impedance of Overhead and Underground Lines , 2006 .

[61]  Thomas Gerstner,et al.  Dimension–Adaptive Tensor–Product Quadrature , 2003, Computing.

[62]  Serdar Kadam,et al.  Voltage Control with PV Inverters in Low Voltage Networks—In Depth Analysis of Different Concepts and Parameterization Criteria , 2017, IEEE Transactions on Power Systems.

[63]  Pierluigi Siano,et al.  A Model for Wind Turbines Placement Within a Distribution Network Acquisition Market , 2015, IEEE Transactions on Industrial Informatics.

[64]  Igor Papic,et al.  Assessment of maximum distributed generation penetration levels in low voltage networks using a probabilistic approach , 2015 .

[65]  W. Beckman,et al.  Diffuse fraction correlations , 1990 .

[66]  John Boland,et al.  Models of diffuse solar radiation , 2008 .

[67]  Timothy C. Green,et al.  Communication Infrastructures for Distributed Control of Power Distribution Networks , 2011, IEEE Transactions on Industrial Informatics.

[68]  Math Bollen,et al.  Integration of Distributed Generation in the Power System , 2008 .

[69]  Knut Petras,et al.  Smolyak cubature of given polynomial degree with few nodes for increasing dimension , 2003, Numerische Mathematik.

[70]  Ramesh C. Bansal,et al.  Location and Sizing of Distributed Generation Units for Loadabilty Enhancement in Primary Feeder , 2013, IEEE Systems Journal.