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Implementation of Demand Response Programs on Unit Commitment Problem

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Demand Response Application in Smart Grids

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.

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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

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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

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  • DOI: https://doi.org/10.1007/978-3-030-32104-8_2

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