Investigation of Harmonic Effects in Locational Marginal Pricing and Developing a Framework for LMP Calculation

Locational Marginal Pricing (LMP) is arguably the most effective and commonly employed mechanism to provide the most reliable economic signal to market participants. Meanwhile, nodal prices depend on active power losses and transmission congestion which may be affected by harmonics pollution. In the conventional method, power system and loads are assumed linear and nodal prices are obtained by results of optimal power flow (OPF) at the power frequency. Harmonics lead to skin effect and increasing loss. Further, harmonic flowing in branches in a power network occupies transmission capacity. For providing more accurate signals to market participants and achieving more accurate nodal prices, harmonic effects on LMP are investigated and a framework is developed for LMP calculation in a harmonic polluted power system. In this framework, skin effect, losses, and congestion which can be arisen by harmonic pollution are modelled in optimal power flow (OPF) and are considered in LMP calculation. The proposed concept is implemented with 9-bus and 30-bus test systems while nodal price changes are also indicated.

[1]  Chongqing Kang,et al.  Solving OPF using linear approximations: fundamental analysis and numerical demonstration , 2017 .

[2]  Pat Bodger,et al.  Power System Harmonics , 2003 .

[3]  Chongqing Kang,et al.  LMP Revisited: A Linear Model for the Loss-Embedded LMP , 2017, IEEE Transactions on Power Systems.

[4]  D. Avinash,et al.  MW-Mile method considering the cost of loss allocation for transmission pricing , 2015, 2015 Conference on Power, Control, Communication and Computational Technologies for Sustainable Growth (PCCCTSG).

[5]  Vaskar Sarkar,et al.  Designing option FTRs for the lossy FTR system , 2018 .

[6]  Antonio J. Conejo,et al.  Discussion of “ Transmission Loss Allocation: Part I— Single Energy Market” , 2004 .

[7]  Luis Sainz,et al.  Statistical Study of Personal Computer Cluster Harmonic Currents from Experimental Measurements , 2015 .

[8]  K. Sarada,et al.  AC Optimal Power Flow Calculation for Locational Marginal Pricing , 2015 .

[9]  William F. Tinney,et al.  Optimal Power Flow Solutions , 1968 .

[10]  G. Hamoud,et al.  Assessment of transmission congestion cost and locational marginal pricing in a competitive electricity market , 2004, IEEE Transactions on Power Systems.

[11]  S. A. Khaparde,et al.  Optimal LMP Decomposition for the ACOPF Calculation , 2011, IEEE Transactions on Power Systems.

[12]  Qiuwei Wu,et al.  Day-ahead tariffs for the alleviation of distribution grid congestion from electric vehicles , 2012 .

[13]  Tianye Huang,et al.  Third Harmonic Generation With the Effect of Nonlinear Loss , 2016, Journal of Lightwave Technology.

[14]  B. Vahidi,et al.  A Method for Harmonic Power Tracing by Using Upstream and Downstream Distribution Matrices , 2019, Electric Power Components and Systems.

[15]  O. Alsac,et al.  Optimal Load Flow with Steady-State Security , 1974 .

[16]  Xian-Yong Xiao,et al.  Research of harmonic distortion power for harmonic source detection , 2016, 2016 17th International Conference on Harmonics and Quality of Power (ICHQP).

[17]  Mojgan Hojabri,et al.  Power Quality Consideration for Off-Grid Renewable Energy Systems , 2013 .

[18]  Luigi Piegari,et al.  A harmonic power market framework for compensation management of DER based active power filters in microgrids , 2019 .

[19]  K. Shaloudegi,et al.  A Novel Policy for Locational Marginal Price Calculation in Distribution Systems Based on Loss Reduction Allocation Using Game Theory , 2012, IEEE Transactions on Power Systems.

[20]  P. Kokotovic,et al.  Systems and control theory for power systems , 1995 .

[21]  S. Oren,et al.  Distribution Locational Marginal Pricing Through Quadratic Programming for Congestion Management in Distribution Networks , 2015, IEEE Transactions on Power Systems.

[22]  Pavol Bauer,et al.  Current pricing: Avoiding marginal losses in locational marginal prices for DC grids , 2017, 2017 IEEE Manchester PowerTech.

[23]  N. R. Watson,et al.  Marginal Pricing of Harmonic Injections: An Analysis of the Resulting Payments , 2002, IEEE Power Engineering Review.

[24]  A. Abhyankar,et al.  Max–min fair Financial Transmission Rights payment-based AC optimal power flow locational marginal price decomposition , 2014 .

[25]  Seyed Hossein Hosseinian,et al.  Modeling and investigation of harmonic losses in optimal power flow and power system locational marginal pricing , 2014 .

[26]  Gilsung Byeon,et al.  Power Demand and Total Harmonic Distortion Analysis for an EV Charging Station Concept Utilizing a Battery Energy Storage System , 2013 .

[27]  Aly Mahmoud,et al.  A Method for Analyzing Harmonic Distribution in A.C. Power Systems , 1982, IEEE Transactions on Power Apparatus and Systems.

[28]  D. Sibley Spot Pricing of Electricity , 1990 .

[29]  Tongxin Zheng,et al.  Marginal loss modeling in LMP calculation , 2004, IEEE Transactions on Power Systems.

[30]  Vaskar Sarkar,et al.  Implementation of lossy FTRs for perfect risk hedging under the marginal loss pricing , 2017 .

[31]  Firuz Zare,et al.  Harmonic Analysis of Grid Connected Power Electronic Systems in Low Voltage Distribution Networks , 2016, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[32]  K. L. Lo,et al.  A congestion management method with demand elasticity and PTDF approach , 2012, 2012 47th International Universities Power Engineering Conference (UPEC).

[33]  Qiuwei Wu,et al.  Distribution Locational Marginal Pricing for Optimal Electric Vehicle Charging Management , 2014, IEEE Transactions on Power Systems.