International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056
Volume: 04 Issue: 06 | June -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 5639
Gravitational Search Algorithm for Bidding Strategy in Uniform Price
Spot Market
Ajay Bhardwaj
1
,Dr. Tanuj Manglani
2
1
M. Tech. Scholar, YIT, Jaipur
2
Professor, YIT, Jaipur
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Abstract - In a deregulated market environment,
Generation Companies (GENCOs) develop bidding strategies
to increase their benefits. Electricity Markets (EMs) are not
perfectly competitive due to limited number of power
producers, large investment size and various transmission
constraints. In this oligopolistic market environment, it is of
great interest for generation companies to develop bidding
strategies to share maximum profit. In this work, an optimal
bidding strategy has been developed for a GENCO whose
profit is to be maximized by using Gravitational Search
Algorithm (GSA). The approach has been applied on four
generator test system and compared with the results
obtained from Genetic Algorithm (GA) and Particle Swarm
Optimization (PSO).
Key Words: Electricity Markets, Gravitational Search
Algorithm, Genetic Algorithm, Particle Swarm
Optimization, System Operator
1. INTRODUCTION
Restructuring of the power system means eradicating the
monopoly in the generation and transmission trading
sectors thereby introducing competition at various levels.
Economic power market in which the participants
separately submit their favored schedules, this market is
called pool market. The system operator (SO) allot the
dispatches of generators using an optimal power flow
(OPF) which admits bid submitted by the participants as
their input. Participants in competitive electricity pool
market (EPM) develop strategic bidding in order to
maximize their own profits. This problem is known as
ǮPower transaction gameǯ, which can be modeled as static
non co-operative incomplete game with perfect
information [1]. The game is static due to the fact that the
process of decision making is applied for all the players
involved. Non-cooperative means that each individual
player is pursuing for his own interest and the incomplete
information means players lack full information on the
mathematical structure of the game. Perfect information
stands for the fact that all players have full information of
all strategies in primary stages.
Electricity generators (sellers) and electricity
dealers/customers (buyers) have to introduce a
transmission network for rolling the power from the
generation point to the consumption point. Thus, unified
transmission system is considered to be a natural
monopoly so as to avoid the duplicity, huge investment for
beginning and to take the advantage of the unified network
viz. reduced installed capacity, increased system reliability
and improved system performance.
For SO, it is necessary to explore strategic bidding
behavior of participants in order to recognize probable
power market abuse and limit it by presenting EPM rules
and regulation. In past years, considerable amount of
research papers has been presented on optimal bidding
strategies for number of generators for exploring the
market power in EPM.
There are number of simulation methods proposed by
researchers to form bidding strategy such as dynamic
programming [2], stochastic optimization [3]-[6], two level
optimization [7]-[9], lagrangian relaxation [10]-[11],
genetic algorithm [12]-[13], fuzzy approach [14], game
theory [15]-[16]. Supply side bidding strategies are
classified in pool markets [17]-[18] and bilateral markets
[19]-[22].
Dynamic programming approach was presented in [2]. The
approach was applied on England- Wales type electricity
markets. In [2], Probability distribution function (PDF)
was used to predict rivalǯs behavior and supplierǯs bid was
calculated by stochastic optimization technique. Song et al.
[4] proposed Markov Decision Process (MDP) to estimate
optimal bids of suppliers. Monte Carlo method is used in
[5] to model supply function. In [6], Zhejiang provincial
model was taken as pilot market and step wise bidding
technique was applied for bidding problem. In [7], a two
level optimization procedure was proposed to solve
strategic bidding problem. The market operator decide the
optimal bid to be selected while taking social welfare into
account. A centralized economic dispatch is used to
determine MCP and output of generators for a profitable
bid in [8]. In [9], each suppliers bids a linear supply
function based on probabilistic estimation of demand and
rivalǯs behavior. Langrangian relaxation based approach
[10] is adopted to form bidding curve for England-Wales
type electricity markets. The MCP is assumed to be known
which is not practical case in real electricity markets.
Zhang et al. [11] applied same approach in New England
market in which rivalǯs bids are assumed to be in discrete
distributions. Gentic algorithm approach [12] is used to
develop the bidding strategy in day ahead electricity
market. Same methodology is adopted for spinning reserve