A Statistical Evaluation of the Capability of Distributed Renewable Generator-Energy-Storage System in Providing Load Low-Voltage Ride-Through

The capability of a distributed renewable generator (DRG) in providing load low-voltage ride-through (LVRT) is examined. The harnessed renewable power, load demand, and the occurrences of low-voltage incidents are treated as random variables. The probability of successful load LVRT is assessed through the use of a copula function to quantify the stochastic dependency between the load and the renewable power. The analysis is then applied to the case of a series-connected photovoltaic DRG incorporated with capacitor energy storage, wherein the focus is to establish the analytical relationship between the probability of successful load LVRT and the rated power/energy capacities of the DRG capacitor. Determination of the optimal capacities of the DRG capacitor is achieved through maximization of the expected economic benefits obtained from the renewable energy harness and load LVRT minus the cost of the DRG capacitor.

[1]  G. Papaefthymiou,et al.  Using Copulas for Modeling Stochastic Dependence in Power System Uncertainty Analysis , 2009, IEEE Transactions on Power Systems.

[2]  D. Rajan Probability, Random Variables, and Stochastic Processes , 2017 .

[3]  Seyed Mohammad Mousavi Agah,et al.  Effect of Modeling Non-Normality and Stochastic Dependence of Variables on Distribution Transformer Loss of Life Inference , 2012, IEEE Transactions on Power Delivery.

[4]  R. Teodorescu,et al.  Overview of recent grid codes for wind power integration , 2010, 2010 12th International Conference on Optimization of Electrical and Electronic Equipment.

[5]  G. Papaefthymiou,et al.  Using Copulas for Modeling Stochastic Dependence in Power System Uncertainty Analysis , 2009 .

[6]  Marco Liserre,et al.  A Single-Phase Voltage-Controlled Grid-Connected Photovoltaic System With Power Quality Conditioner Functionality , 2009, IEEE Transactions on Industrial Electronics.

[7]  M. B. Hughes,et al.  Interpreting recent power quality surveys to define the electrical environment , 1996, IAS '96. Conference Record of the 1996 IEEE Industry Applications Conference Thirty-First IAS Annual Meeting.

[8]  R. Nelsen An Introduction to Copulas , 1998 .

[9]  Sewan Choi,et al.  Fault ride through control with voltage compensation capability for utility interactive inverter with critical load , 2011, 8th International Conference on Power Electronics - ECCE Asia.

[10]  M. Pia,et al.  A goodness-of-fit statistical toolkit , 2004, IEEE Transactions on Nuclear Science.

[11]  Hamid Toliyat,et al.  Integrated Doubly Fed Electric Alternator/Active Filter (IDEA), a Viable Power Quality Solution, for Wind Energy Conversion Systems , 2008, IEEE Transactions on Energy Conversion.

[12]  Miguel Castilla,et al.  Control Scheme With Voltage Support Capability for Distributed Generation Inverters Under Voltage Sags , 2013, IEEE Transactions on Power Electronics.

[13]  Arindam Ghosh,et al.  Performance Comparison of VSC-Based Shunt and Series Compensators Used for Load Voltage Control in Distribution Systems , 2011, IEEE Transactions on Power Delivery.

[14]  Gehan A. J. Amaratunga,et al.  Analytic Solution to the Photovoltaic Maximum Power Point Problem , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[15]  S. O. Faried,et al.  Stochastic Evaluation of Voltage Sags in Series Capacitor Compensated Radial Distribution Systems , 2002, IEEE Power Engineering Review.

[16]  Dorota Kurowicka,et al.  Integration of stochastic generation in power systems , 2006 .

[17]  Eric Bouyé,et al.  Copulas for Finance - A Reading Guide and Some Applications , 2000 .

[18]  Mark McGranaghan,et al.  Economic Evaluation of Power Quality , 2002, IEEE Power Engineering Review.

[19]  R. Teodorescu,et al.  Overview of recent Grid Codes for PV power integration , 2012, 2012 13th International Conference on Optimization of Electrical and Electronic Equipment (OPTIM).

[20]  Simon De Rijcke,et al.  Grid impact of voltage control and reactive power support by wind turbines equipped with direct-drive synchronous machines , 2013, 2013 IEEE Power & Energy Society General Meeting.

[21]  S. K. Sahoo,et al.  Single-Phase Inverter-Control Techniques for Interfacing Renewable Energy Sources With Microgrid—Part II: Series-Connected Inverter Topology to Mitigate Voltage-Related Problems Along With Active Power Flow Control , 2011, IEEE Transactions on Power Electronics.

[22]  K. Sabitha,et al.  Control Scheme with Voltage Support Capability for Distributed Generation Inverters under Voltage Sags , 2014 .

[23]  S. S. Choi,et al.  A Series-Connected Photovoltaic Distributed Generator Capable of Enhancing Power Quality , 2013, IEEE Transactions on Energy Conversion.

[24]  Frede Blaabjerg,et al.  Benchmarking of Grid Fault Modes in Single-Phase Grid-Connected Photovoltaic Systems , 2013, IEEE Transactions on Industry Applications.

[25]  K. Al-Haddad,et al.  A multifunctional power flow controller for photovoltaic generation systems with compliance to power quality standards , 2012, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society.