An over-limit risk assessment of PV integrated power system using probabilistic load flow based on multi-time instant uncertainty modeling

Abstract In this paper, the risk assessment of a PV integrated power system is accomplished by computing the over-limit probabilities and the severities of events such as under-voltage, over-voltage, over-load, and thermal over-load. These aspects are computed by performing temperature-augmented probabilistic load flow (TPLF) using Monte Carlo simulation. For TPLF, the historical data for PV generation, ambient temperature, and load power, each collected at twelve specific time instants of a day for the past five years are pre-processed by using three linear regression models for accurate uncertainty modeling. For PV generation data, the developed model is capable of filtering out the annual predictable periodic variation (owing to positioning of the Sun) and decreasing production trend due to ageing effect whereas, for ambient temperature and load power, the corresponding models accurately remove the annual cyclic variations in the data and their growth. The simulations pertaining to the aforesaid risk assessment are performed on a PV integrated New England 39-bus test system. The system over-limit risk indices are calculated for different PV penetrations and input correlations. In addition, the changes in the values of TPLF model parameters on the statistics of the result variables are analyzed. The risk indices so obtained help in executing necessary steps to reduce system risks for reliable operation.

[1]  Biswarup Das,et al.  Probabilistic load flow incorporating generator reactive power limit violations with spline based reconstruction method , 2014 .

[2]  J. Dave,et al.  Computation of incident solar energy , 1975 .

[3]  Salman Mohagheghi,et al.  Temperature-Dependent Power Flow , 2013, IEEE Transactions on Power Systems.

[4]  Kashem M. Muttaqi,et al.  Probabilistic load flow incorporating correlation between time-varying electricity demand and renewable power generation , 2013 .

[5]  F. Jurado,et al.  Probabilistic load flow for photovoltaic distributed generation using the Cornish–Fisher expansion , 2012 .

[6]  Neeraj Gupta Probabilistic load flow with detailed wind generator models considering correlated wind generation and correlated loads , 2016 .

[7]  J. Morales,et al.  Point Estimate Schemes to Solve the Probabilistic Power Flow , 2007, IEEE Transactions on Power Systems.

[8]  Yue Yuan,et al.  Probabilistic load flow computation of a power system containing wind farms using the method of combined cumulants and Gram-Charlier expansion , 2011 .

[9]  G. Valverde,et al.  Probabilistic load flow with non-Gaussian correlated random variables using Gaussian mixture models , 2012 .

[10]  M. Fotuhi-Firuzabad,et al.  Probabilistic Load Flow in Correlated Uncertain Environment Using Unscented Transformation , 2012, IEEE Transactions on Power Systems.

[11]  Andrés Feijóo,et al.  An analytical method to solve the probabilistic load flow considering load demand correlation using the DC load flow , 2014 .

[12]  Miao Fan Probabilistic Power Flow Studies to Examine the Influence of Photovoltaic Generation on Transmission System Reliability , 2012 .

[13]  Debashisha Jena,et al.  Combined cumulant and Gaussian mixture approximation for correlated probabilistic load flow studies: a new approach , 2016 .

[14]  Guido Carpinelli,et al.  Multi-linear Monte Carlo simulation method for probabilistic load flow of distribution systems with wind and photovoltaic generation systems , 2015 .

[15]  Fushuan Wen,et al.  Probabilistic load flow analysis of photovoltaic generation system with plug-in electric vehicles , 2015 .

[16]  S.T. Lee,et al.  Probabilistic load flow computation using the method of combined cumulants and Gram-Charlier expansion , 2004, IEEE Transactions on Power Systems.

[17]  V. Vittal,et al.  Probabilistic Power Flow Studies for Transmission Systems With Photovoltaic Generation Using Cumulants , 2012, IEEE Transactions on Power Systems.

[18]  K. Holbert,et al.  Solar Energy Calculations , 2021, Handbook of Renewable Energy Technology & Systems.

[19]  Chun-Lien Su,et al.  Probabilistic load-flow computation using point estimate method , 2005 .

[20]  Peter Palensky,et al.  A Framework for Incorporation of Infeed Uncertainty in Power System Risk-Based Security Assessment , 2018, IEEE Transactions on Power Systems.

[21]  Lei Wu,et al.  Transmission Line Overload Risk Assessment for Power Systems With Wind and Load-Power Generation Correlation , 2015, IEEE Transactions on Smart Grid.

[22]  A. M. Leite da Silva,et al.  Probabilistic load flow techniques applied to power system expansion planning , 1990 .

[23]  Debashisha Jena,et al.  A critical review on probabilistic load flow studies in uncertainty constrained power systems with photovoltaic generation and a new approach , 2017 .

[24]  Julio Usaola,et al.  Probabilistic load flow with correlated wind power injections , 2010 .

[25]  Debashisha Jena,et al.  A Sensitivity Matrix-Based Temperature-Augmented Probabilistic Load Flow Study , 2017, IEEE Transactions on Industry Applications.

[26]  Chengfu Wang,et al.  Calculation of Power Transfer Limit Considering Electro-Thermal Coupling of Overhead Transmission Line , 2014, IEEE Transactions on Power Systems.

[27]  S. Mohagheghi,et al.  Voltage Quality Assessment in a Distribution System With Distributed Generation—A Probabilistic Load Flow Approach , 2013, IEEE Transactions on Power Delivery.

[28]  R. Ayyanar,et al.  Preprocessing Uncertain Photovoltaic Data , 2014, IEEE Transactions on Sustainable Energy.