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Electrical Engineering

, Volume 101, Issue 4, pp 1249–1260 | Cite as

An efficient hybrid structure to solve economic-environmental energy scheduling integrated with demand side management programs

  • Sobhan Dorahaki
  • Masoud Rashidinejad
  • Mojgan Mollahassani-pourEmail author
  • Alireza Bakhshai
Original Paper
  • 39 Downloads

Abstract

Nowadays, by increasing the amount of greenhouse gases (GHGs) emitted from electricity generation sector, substantial challenges will be forced to the power system scheduling problems. However, under the smart environment, the amount of GHGs can be declined by handling the consumers’ demand. In this regard, this paper presents a two-stage framework concentrating on demand side management including energy efficiency programs and demand response programs as significant aspects of smart power system to handle system expenditures as well as pollutants. Therefore, in the first stage, investment rate on energy efficiency is specified over the midterm horizon time, and in the second one, a formulation of cost-and-emission-based generation scheduling in the presence of demand side management programs has been performed. Finally, a novel index the so-called emission mitigation index is nominated to investigate the impacts of demand side management on evaluation of GHGs emissions’ level. The IEEE 10 unit standard test system is conducted to evaluate the capability of demand side management in reduction of GHGs emissions and financial burden. Results indicate that by efficient utilization of demand side management programs, significant improvement is obtained.

Keywords

Demand response Energy efficiency Generation scheduling Pollutants reduction Smart environment 

List of symbols

Indices and sets

i

Generating unit index

m

Segment index

t

Time index

Ni

Number of generating units

\( N_{\text{SF}} \)

Number of segments for linearized generation cost curve

\( N_{\text{SI}} \)

Number of segments for linearized incentive curve

\( N_{\text{SE}} \)

Number of segments for linearized emission curve

\( N_{t} \)

Scheduling time horizon

Variables

\( {\text{EC}}\, (\cdot ) \)

Emission function of a unit

\( {\text{EEI}} \)

Investment rate of final energy efficiency programs

\( {\text{FC}}\, (\cdot ) \)

Generation cost of a unit

\( {\text{inc}}\, (\cdot ) \)

Incentive of demand response programs

\( {\text{Inc}}_{\text{Ttl}} \, (\cdot ) \)

Total incentive to customers in a period

\( P\, (\cdot ) \)

Generated power of a unit in a period

\( p_{m} \, (\cdot ) \)

Generated power in mth segment of linearized generation cost curve

\( q_{m} \, (\cdot ) \)

Generated power in mth segment of linearized emission curve

\( u\, (\cdot ) \)

Commitment status of a unit in a period

\( y\, (\cdot ) \)

Startup status of a unit in a period

\( z\, (\cdot ) \)

Shut down status of a unit in a period

\( \rho \, (\cdot )/\rho_{0} \, (\cdot ) \)

Electricity price in a period after/before implementing demand side programs

\( \varpi_{m} \, (\cdot ) \)

Award of mth segment in linearized total incentive curve

Parameters

\( a\, (\cdot ), b\, (\cdot ),C\, (\cdot ) \)

Generation cost coefficient

\( {\text{CSC}}\, (\cdot ) \)

Cold startup cost of a unit

\( {\text{CST}}\, (\cdot ) \)

Cold startup time of a unit

\( d \)

Week duration in hour

\( D\, (\cdot ) \)

Demand in a period

\( E\, (\cdot ) \)

Price elasticity of demand

\( \underline{\text{EC}} \,( \cdot ) \)

Lower limit on the emission of a unit

\( e_{m} \, (\cdot ) \)

Slope of mth segment in linearized emission curve

\( {\text{EEI}}_{0} \)

Investment rate of initial energy efficiency programs

\( \underline{\text{FC}} \, (\cdot ) \)

Lower limit on generation cost of a unit

\( {\text{HSC}}\, (\cdot ) \)

Hot startup cost of a unit

\( {\text{inc}}_{{\max} } /{\text{inc}}_{{\min} } \)

Maximum/minimum incentive level

\( {\text{invcost}} \)

Investment cost on energy efficiency programs

\( {\text{MD}}\, (\cdot ) \)

Minimum down time

\( {\text{MU}}\, (\cdot ) \)

Minimum up time

\( \underline{P} \, (\cdot )/ \bar{P}\, (\cdot ) \)

Lower/upper generation capacity of a unit

\( \bar{P}_{m} \, (\cdot ) \)

Maximum generation in segment m in a period

\( {\text{RDR}}\, (\cdot ) \)

Ramp down rate

\( {\text{RUR}}\, (\cdot ) \)

Ramp up rate

\( s_{m} \)

Slope of mth segment in linearized incentive curve

\( {\text{SD}}\, (\cdot ) \)

Shutdown cost of a unit

\( {\text{SR}}\, (\cdot ) \)

Spinning reserve capacity in a period

\( {\text{SU}}\, (\cdot ) \)

Startup cost of a unit

\( {\text{TC}}\, (\cdot ) \)

Number of continuous shutdown hours of a unit

\( X\, (\cdot )^{\text{off}} \)

Continuous time of off status in a unit

\( X\, (\cdot )^{\text{on}} \)

Continuous time of on status in a unit

\( \alpha \, (\cdot ), \beta \, (\cdot ),\gamma \, (\cdot ) \)

Emission coefficient of a unit

\( \lambda \)

Penetration rate of energy efficiency programs

\( \eta \)

Penetration rate of demand response programs

\( \delta \, (\cdot ) \)

Efficiency-price cross-elasticity of demand

\( \psi \, (\cdot ) \)

Emission penalty factor of a unit

\( \tau \)

Energy efficiency elasticity of demand

\( \Lambda_{m} \,( \cdot ) \)

Slope of mth segment in linearized generation cost curve

\( \mu \, (\cdot ) \)

Demand ration to classify incentive in a period

Notes

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Sobhan Dorahaki
    • 1
  • Masoud Rashidinejad
    • 1
  • Mojgan Mollahassani-pour
    • 2
    Email author
  • Alireza Bakhshai
    • 3
  1. 1.Department of Electrical EngineeringShahid Bahonar University of KermanKermanIran
  2. 2.Faculty of Electrical and Computer EngineeringUniversity of Sistan and BaluchestanZahedanIran
  3. 3.Electrical and Computer EngineeringQueen’s UniversityKingstonCanada

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