Multi-Objective based Optimal Generation Scheduling Considering Wind and Solar Energy Systems
-
Abstract
This paper presents an optimum day-ahead scheduling of thermal and renewable (wind and solar photovoltaic) power generation as a multi-objective optimization (MOO) problem considering the uncertainty. System operating cost (i.e. cost of thermal, wind, solar PV and battery), reliability and emission cost are considered to be optimized simultaneously. The uncertainties due to the generator outages, wind, solar PV power and load forecast errors are incorporated in the proposed optimization problem using the Loss Of Load Probability (LOLP) and Expected Unserved Energy (EUE) reliability indices. In the proposed approach, the amount of spinning reserves (SRs) required are scheduled based on the desired level of system reliability. The proposed multi-objective optimization problem is solved using NSGA-II algorithm. Different case studies are performed considering different objective functions that may be selected by system operator (SO) based on the preference.
Funding statement: This research work is based on the support of “Woosong University’s Academic Research Funding - 2018”.
Nomenclature
Fuel cost coefficients of
Startup cost coefficients of
Time duration of each period (1 hour).
Allowed maximum limit of expected unserved energy (EUE) reliability index.
Total EUE of the scheduling period.
Total system demand at hour t.
Allowed maximum limit of LOLP reliability index.
LOLP for hour t.
Number of Pareto optimal solutions.
Number of thermal generators.
Number of objective functions.
Number of solar PV modules.
Number of time intervals in the entire scheduling period.
Number of wind generating units.
- S
Set of possible loss of load demand events because of uncertainties and/or thermal generator outages.
- T
Dispatch period under consideration.
Successive hours that the thermal generator has been OFF at
Consecutive hours that the
Minimum up and down time of
Power charge/discharge to/from battery.
Maximum and minimum power output of
Amount of SR required at hour t.
Failure rate of
References
[1] Trivedi A, Srinivasan D, Sharma D, Singh C. Evolutionary multi-objective day-Ahead thermal generation scheduling in uncertain environment. IEEE Trans Power Syst. 2013;28:1345–54.10.1109/TPWRS.2012.2222939Search in Google Scholar
[2] Simopoulos DN, Kavatza SD, Vournas CD. Reliability constrained unit commitment using simulated annealing. IEEE Trans Power Syst. 2006;21:1699–706.10.1109/TPWRS.2006.881128Search in Google Scholar
[3] Liu K, Zhong J. Generation dispatch considering wind energy and system reliability. IEEE Power Energy Soc Gener Meet. 2010:1–7.10.1109/PES.2010.5590047Search in Google Scholar
[4] Park J, Cho K, Oh T, Choi J, El-Keib AA. Evaluation of economic impacts of wind turbine and solar cell generators on power system considering CO2 emission. IEEE 11th International Conference on Probabilistic Methods Applied to Power Systems, 2010: 413–18.Search in Google Scholar
[5] Wang L, Singh C. Multicriteria design of hybrid power generation systems based on a modified particle swarm optimization algorithm. IEEE Trans Energy Conver. 2009;24:163–72.10.1109/TEC.2008.2005280Search in Google Scholar
[6] Ela E, Diakov V, Ibanez E, Heaney M. Impacts of variability and uncertainty in solar photovoltaic generation at multiple timescales. Technical Report, National Renewable Energy Laboratory/TP-5500-58274, May 2013.10.2172/1081387Search in Google Scholar
[7] Zamani AG, Zakariazadeh A, Jadid S. Day-ahead resource scheduling of a renewable energy based virtual power plant. Appl Energy. 2016;169:324–40.10.1016/j.apenergy.2016.02.011Search in Google Scholar
[8] Pousinho HMI, Esteves J, Mendes VMF, Collares-Pereira M, Pereira Cabrita C. Bilevel approach to wind-CSP day-ahead scheduling with spinning reserve under controllable degree of trust. Renewable Energy. 2016;85:917–27.10.1016/j.renene.2015.07.022Search in Google Scholar
[9] Chen C, Wang F, Zhou B, Chan KW, Cao Y, Tan Y. An interval optimization based day-ahead scheduling scheme for renewable energy management in smart distribution systems. Energy Convers Manage. 2015;106:584–96.10.1016/j.enconman.2015.10.014Search in Google Scholar
[10] Ju L, Tan Z, Yuan J, Tan Q, Li H, Dong F. A bi-level stochastic scheduling optimization model for a virtual power plant connected to a windphotovoltaicenergy storage system considering the uncertainty and demand response. Appl Energy. 2016;171:184–99.10.1016/j.apenergy.2016.03.020Search in Google Scholar
[11] Pazouki S, Haghifam MR. Optimal planning and scheduling of energy hub in presence of wind, storage and demand response under uncertainty. Int J Electr Power Energy Syst 2016;80:219–39.10.1016/j.ijepes.2016.01.044Search in Google Scholar
[12] Zhang C, Wang J. Optimal transmission switching considering probabilistic reliability. IEEE Trans Power Syst. 2014;29:974–5.10.1109/TPWRS.2013.2287999Search in Google Scholar
[13] Wang MQ, Gooi HB. Spinning reserve estimation in microgrids. IEEE Trans Power Syst. 2011;26:1164–74.10.1109/TPWRS.2010.2100414Search in Google Scholar
[14] Reddy SS, Momoh JA. Realistic and transparent optimum scheduling strategy for hybrid power system. IEEE Trans Smart Grid. 2015;6:3114–25.10.1109/TSG.2015.2406879Search in Google Scholar
[15] Billinton R, Firuzabad MF. Generating system operating health analysis considering stand-by units, interruptible load and postponable outages. IEEE Trans Power Syst. 1994;9:1618–25.10.1109/59.336096Search in Google Scholar
[16] Mantawy AH, Abdel-Magid YL, Selim SZ. A simulated annealing algorithm for unit commitment. IEEE Trans Power Syst. 1998;13:197–204.10.1109/59.651636Search in Google Scholar
[17] Bouffard F, Galiana FD. An electricity market with with a probabilistic spinning reserve criterion. IEEE Trans Power Syst. 2004;19:300–7.10.1109/TPWRS.2003.818587Search in Google Scholar
[18] Billinton R, Allan RN. Reliability evalation of power systems, 2nd ed. New York: Plenum, 1996.10.1007/978-1-4899-1860-4Search in Google Scholar
[19] Bouffard F, Galiana FD. An electricity market with a probabilistic spinning reserve criterion. IEEE Trans Power Syst. 2004;19:300–7.10.1109/TPWRS.2003.818587Search in Google Scholar
[20] Deb K, Pratap A, Agarwal A, Meyarivan T. A fast and elitist multi-objective genetic algorithm: NSGA II. IEEE Trans Evol Comput. 2002;6:182–97.10.1109/4235.996017Search in Google Scholar
[21] Shukla PK, Deb K. On finding multiple Pareto-optimal solutions using classical and evolutionary generating methods. Eur J Oper Res. 2007;181:1630–52.10.1016/j.ejor.2006.08.002Search in Google Scholar
[22] Reddy SS, Abhyankar AR, Abhyankar PR. Reactive power price clearing using multi-objective optimization. Energy. 2011;36:3579–89.10.1016/j.energy.2011.03.070Search in Google Scholar
[23] Wang SJ, Shahidehpour SM, Kirschen DS, Mokhtari S, Irisarri GD. Short-term generation scheduling with transmission and environmental constraints using an augmented Lagrangian relaxation. IEEE Trans Power Syst. 1995;10:1294–301.10.1109/59.466524Search in Google Scholar
© 2018 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Research Article
- Simulation of Modified Flyback Snubber Circuit for Isolated Bidirectional DC-DC Converter
- Design of Cost Effective Solar PV Powered SRM Driven Agriculture Pump Using Modified Buck-Boost Converter
- High Step-Up Boost Converter with Neural Network Based MPPT Controller for a PEMFC Power Source Used in Vehicular Applications
- A Novel Non-Linear Control for Three-Phase Five-Level Cascaded H-Bridge Inverter Based Shunt Active Power Filter
- Operation of Direct Power Control Scheme in Grid-Connected Mode Using Improved Sliding Mode Observer and Controller
- Enhancement of Power Quality in Wind Based Distributed Generation System Using Adaptive Vectorial Filter
- Intelligence Scheme for Fault Location in a Combined Overhead Transmission Line & Underground Cable
- Adaptive Algorithm for Distribution Transformer Protection to Improve Smart Grid Stability
- LQR Based Control Method for Grid Connected and Islanded DG System
- Charging Coordination of Plug-In Electric Vehicle for Congestion Management in Distribution System
- A Unique Concept of Limited Grid Capacity and Voltage-Frequency Control of an RES Based Rural Electrification System
- Multi-Objective based Optimal Generation Scheduling Considering Wind and Solar Energy Systems
- New Selective Harmonic Elimination-Pulse-Width Modulation for Cascaded H-bridge Multilevel Inverters
- Novel PWM Control with Modified PSO-MPPT Algorithm for Reduced Switch MLI Based Standalone PV System
- Reduced Switch Technique for Solar PV System Based Multilevel Inverter for PQ Improvement
- Phase Locked Loop Based Techniques for Compensation of Voltage Based Power Quality Issues in Distribution System
- A Comparative Study of PWM Techniques for Multiphase Induction Motor Drives
Articles in the same Issue
- Research Article
- Simulation of Modified Flyback Snubber Circuit for Isolated Bidirectional DC-DC Converter
- Design of Cost Effective Solar PV Powered SRM Driven Agriculture Pump Using Modified Buck-Boost Converter
- High Step-Up Boost Converter with Neural Network Based MPPT Controller for a PEMFC Power Source Used in Vehicular Applications
- A Novel Non-Linear Control for Three-Phase Five-Level Cascaded H-Bridge Inverter Based Shunt Active Power Filter
- Operation of Direct Power Control Scheme in Grid-Connected Mode Using Improved Sliding Mode Observer and Controller
- Enhancement of Power Quality in Wind Based Distributed Generation System Using Adaptive Vectorial Filter
- Intelligence Scheme for Fault Location in a Combined Overhead Transmission Line & Underground Cable
- Adaptive Algorithm for Distribution Transformer Protection to Improve Smart Grid Stability
- LQR Based Control Method for Grid Connected and Islanded DG System
- Charging Coordination of Plug-In Electric Vehicle for Congestion Management in Distribution System
- A Unique Concept of Limited Grid Capacity and Voltage-Frequency Control of an RES Based Rural Electrification System
- Multi-Objective based Optimal Generation Scheduling Considering Wind and Solar Energy Systems
- New Selective Harmonic Elimination-Pulse-Width Modulation for Cascaded H-bridge Multilevel Inverters
- Novel PWM Control with Modified PSO-MPPT Algorithm for Reduced Switch MLI Based Standalone PV System
- Reduced Switch Technique for Solar PV System Based Multilevel Inverter for PQ Improvement
- Phase Locked Loop Based Techniques for Compensation of Voltage Based Power Quality Issues in Distribution System
- A Comparative Study of PWM Techniques for Multiphase Induction Motor Drives
