Abstract
Peak electrical demand usually occurs in hot weather conditions due to the synchronous connection of the air-conditioners to local power grids. Hence, if a demand-side management (DSM) strategy is not applied on consumption patterns of customers, load-generation imbalance may lead to voltage collapse, cascaded outages, and catastrophic blackouts. This chapter presents a mathematical model for application of time-amount-based DSM program on a cost-based unit commitment problem in order to minimize the energy procurement cost. The ramp down/up rate limit, start-up and shutdown costs, generation capacity, minimum up- and downtimes, minimum and maximum time-dependent operating limits, and power balance criterion are considered as constraints. Simulations are conducted on a 10-unit test system and solved as a mixed integer nonlinear problem under general algebraic mathematical modeling system to find the optimum operating point of thermal units without and with implementation of a DSM strategic program.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
Abbreviations
- t :
-
Operating time interval
- i :
-
The thermal generation station
- k :
-
The number of the operating zone in the linearized characteristic of the thermal power plants
- P :
-
The electrical power generation of plant i at operating time period t
- FCi, t:
-
The operation cost of the fossil-fuel-based generating unit i at operating time period t
- STCi, t:
-
The start-up cost of the generation station i at operating time period t
- SDCi, t:
-
The shutdown cost of the generation station i at operating time period t
- u i, t :
-
The binary decision variable equals to 1 if the generating unit i is on at hour t, else it is 0.
- \( {P}_i^{\mathrm{max}} \), \( {P}_i^{\mathrm{min}} \):
-
The maximum and minimum limits of the power generation of the plant i
- \( {\underline{P}}_{i,t} \), \( {\overline{P}}_{i,t} \):
-
The minimum and maximum time-related operating bounds for generation station i
- UTi:
-
The minimum uptime for the power plant i
- DTi:
-
The minimum downtime for the power plant i
- yi, t, zi, t:
-
The start-up and shutdown modes for the power plant i at timeframe t
- ai, bi, ci:
-
The fuel cost indices for the power plant i
- \( {C}_{i,\mathrm{ini}}^k \) :
-
The initial operating point of the unit i in the linearized zone k
- \( {C}_{i,\mathrm{fin}}^k \) :
-
The final operating point of the unit i in the linearized zone k
- \( \Delta {P}_i^k \) :
-
The deviation of the power generation of power plant i in zone k
- n :
-
Number of linear zones
- \( {s}_i^k \) :
-
The slope of the fuel cost characteristic of power plant i in zone k
- SUi, SDi:
-
The boundaries of the start-up and shutdown ramp rates of the power plant i
- \( {L}_t^0 \) :
-
Base load at hour t without applying the DSM program
- L t :
-
Energy demand at time t
- DSMt:
-
Percentage of load decrease at time t
- inct:
-
Percentage of demand increase at hour t
References
H. Anand, N. Narang, J.S. Dhillon, Profit based unit commitment using hybrid optimization technique. Energy 148, 701–715 (2018)
B. Lokeshgupta, S. Sivasubramani, Multi-objective dynamic economic and emission dispatch with demand side management. Int. J. Electr. Power Energy Syst. 97, 334–343 (2018)
V.K. Tumuluru, D.H. Tsang, A two-stage approach for network constrained unit commitment problem with demand response. IEEE Trans. Smart Grid 9(2), 1175–1183 (2018)
L.K. Panwar et al., Binary grey wolf optimizer for large scale unit commitment problem. Swarm Evol. Comput. 38, 251–266 (2018)
K.S. Reddy et al., Binary whale optimization algorithm: a new metaheuristic approach for profit-based unit commitment problems in competitive electricity markets. Eng. Optim., 1–21 (2018)
K.S. Reddy et al., A new binary variant of sine–cosine algorithm: development and application to solve profit-based unit commitment problem. Arab. J. Sci. Eng. 43(8), 4041–4056 (2018)
H. Liang et al., A multiobjective hybrid bat algorithm for combined economic/emission dispatch. Int. J. Electr. Power Energy Syst. 101, 103–115 (2018)
F. Chen et al., A nonlinear fractional programming approach for environmental–economic power dispatch. Int. J. Electr. Power Energy Syst. 78, 463–469 (2016)
K. Le et al., Potential impacts of clean air regulations on system operations. IEEE Trans. Power Syst. 10(2), 647–656 (1995)
F.P. Mahdi et al., A holistic review on optimization strategies for combined economic emission dispatch problem. Renew. Sustain. Energy Rev. 81, 3006–3020 (2018)
S. Kuloor, G. Hope, O. Malik, Environmentally constrained unit commitment, in IEE Proceedings C-Generation, Transmission and Distribution (IET, 1992)
F. Jabari, M. Shamizadeh, B. Mohammadi-Ivatloo, Risk-constrained day-ahead economic and environmental dispatch of thermal units using information gap decision theory. Int. Trans. Electr. Energy Syst. 29, e2704 (2018)
S. Bath, J. Dhillon, D. Kothari, Fuzzy satisfying stochastic multi-objective generation scheduling by weightage pattern search methods. Electr. Power Syst. Res. 69(2–3), 311–320 (2004)
M.A. Abido, Environmental/economic power dispatch using multiobjective evolutionary algorithms. IEEE Trans. Power Syst. 18(4), 1529–1537 (2003)
L. Wang, C. Singh, Environmental/economic power dispatch using a fuzzified multi-objective particle swarm optimization algorithm. Electr. Power Syst. Res. 77(12), 1654–1664 (2007)
L. Wang, C. Singh, Stochastic economic emission load dispatch through a modified particle swarm optimization algorithm. Electr. Power Syst. Res. 78(8), 1466–1476 (2008)
G. Morales-España, Á. Lorca, M.M. de Weerdt, Robust unit commitment with dispatchable wind power. Electr. Power Syst. Res. 155, 58–66 (2018)
B. Ming et al., Robust hydroelectric unit commitment considering integration of large-scale photovoltaic power: a case study in China. Appl. Energy 228, 1341–1352 (2018)
K. Ghahary et al., Optimal reserve market clearing considering uncertain demand response using information gap decision theory. Int. J. Electr. Power Energy Syst. 101, 213–222 (2018)
A. Soroudi, A. Rabiee, A. Keane, Information gap decision theory approach to deal with wind power uncertainty in unit commitment. Electr. Power Syst. Res. 145, 137–148 (2017)
H. Park, Y.G. Jin, J.-K. Park, Stochastic security-constrained unit commitment with wind power generation based on dynamic line rating. Int. J. Electr. Power Energy Syst. 102, 211–222 (2018)
B. Durga Hari Kiran, M. Sailaja Kumari, Demand response and pumped hydro storage scheduling for balancing wind power uncertainties: a probabilistic unit commitment approach. Int. J. Electr. Power Energy Syst. 81, 114–122 (2016)
Z. Soltani et al., Integration of smart grid technologies in stochastic multi-objective unit commitment: an economic emission analysis. Int. J. Electr. Power Energy Syst. 100, 565–590 (2018)
S. Badakhshan, M. Kazemi, M. Ehsan, Security constrained unit commitment with flexibility in natural gas transmission delivery. J. Nat. Gas Sci. Eng. 27, 632–640 (2015)
P. Siano, Demand response and smart grids—a survey. Renew. Sustain. Energy Rev. 30, 461–478 (2014)
M.H. Albadi, E.F. El-Saadany, A summary of demand response in electricity markets. Electr. Power Syst. Res. 78(11), 1989–1996 (2008)
M. Vahid-Ghavidel, N. Mahmoudi, B. Mohammadi-Ivatloo, Self-scheduling of demand response aggregators in short-term markets based on information gap decision theory. IEEE Trans. Smart Grid 10(2), 2115–2126 (2019)
A.R. Jordehi, Optimisation of demand response in electric power systems, a review. Renew. Sustain. Energy Rev. 103, 308–319 (2019)
A. Rabiee et al., Corrective voltage control scheme considering demand response and stochastic wind power. IEEE Trans. Power Syst. 29(6), 2965–2973 (2014)
M. Rahmani-andebili, Modeling nonlinear incentive-based and price-based demand response programs and implementing on real power markets. Electr. Power Syst. Res. 132, 115–124 (2016)
M. Vahid-Pakdel et al., Stochastic optimization of energy hub operation with consideration of thermal energy market and demand response. Energy Convers. Manage. 145, 117–128 (2017)
J. Vuelvas, F. Ruiz, G. Gruosso, Limiting gaming opportunities on incentive-based demand response programs. Appl. Energy 225, 668–681 (2018)
N. Ruiz, I. Cobelo, J. Oyarzabal, A direct load control model for virtual power plant management. IEEE Trans. Power Syst. 24(2), 959–966 (2009)
A. Dorri, et al. A Secure and Efficient Direct Power Load Control Framework Based on Blockchain. arXiv preprint arXiv:1812.08497 (2018)
H. Aalami, M.P. Moghaddam, G. Yousefi, Demand response modeling considering interruptible/curtailable loads and capacity market programs. Appl. Energy 87(1), 243–250 (2010)
L. Yao, W.H. Lim, Optimal purchase strategy for demand bidding. IEEE Trans. Power Syst. 33(3), 2754–2762 (2018)
J. Iria, F. Soares, M. Matos, Optimal supply and demand bidding strategy for an aggregator of small prosumers. Appl. Energy 213, 658–669 (2018)
P. Yang, G. Tang, A. Nehorai, A game-theoretic approach for optimal time-of-use electricity pricing. IEEE Trans. Power Syst. 28(2), 884–892 (2013)
E. Celebi, J.D. Fuller, Time-of-use pricing in electricity markets under different market structures. IEEE Trans. Power Syst. 27(3), 1170–1181 (2012)
S. Nojavan, K. Zare, B. Mohammadi-Ivatloo, Optimal stochastic energy management of retailer based on selling price determination under smart grid environment in the presence of demand response program. Appl. Energy 187, 449–464 (2017)
D. Jang et al., Demand responses of Korean commercial and industrial businesses to critical peak pricing of electricity. J. Cleaner Prod. 90, 275–290 (2015)
D. Jang et al., Variability of electricity load patterns and its effect on demand response: a critical peak pricing experiment on Korean commercial and industrial customers. Energy Policy 88, 11–26 (2016)
M. Kazemi, B. Mohammadi-Ivatloo, M. Ehsan, Risk-based bidding of large electric utilities using information gap decision theory considering demand response. Electr. Power Syst. Res. 114, 86–92 (2014)
A.J. Conejo, J.M. Morales, L. Baringo, Real-time demand response model. IEEE Trans. Smart Grid 1(3), 236–242 (2010)
A. Soroudi, Power System Optimization Modeling in GAMS (Springer, 2017)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Jabari, F., Mohammadpourfard, M., Mohammadi-Ivatloo, B. (2020). Implementation of Demand Response Programs on Unit Commitment Problem. In: Nojavan, S., Zare, K. (eds) Demand Response Application in Smart Grids. Springer, Cham. https://doi.org/10.1007/978-3-030-32104-8_2
Download citation
DOI: https://doi.org/10.1007/978-3-030-32104-8_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-32103-1
Online ISBN: 978-3-030-32104-8
eBook Packages: EnergyEnergy (R0)