320 IEEE TRANSACTIONS ON SMART GRID, VOL. 1, NO. 3, DECEMBER 2010
Autonomous Demand-Side Management Based on
Game-Theoretic Energy Consumption Scheduling
for the Future Smart Grid
Amir-Hamed Mohsenian-Rad, Member, IEEE, Vincent W. S.Wong, Senior Member, IEEE,
Juri Jatskevich, Senior Member, IEEE, Robert Schober, Fellow, IEEE, and Alberto Leon-Garcia, Fellow, IEEE
Abstract—Most of the existing demand-side management
programs focus primarily on the interactions between a utility
company and its customers/users. In this paper, we present an
autonomous and distributed demand-side energy management
system among users that takes advantage of a two-way digital
communication infrastructure which is envisioned in the future
smart grid. We use game theory and formulate an energy con-
sumption scheduling game, where the players are the users and
their strategies are the daily schedules of their household appli-
ances and loads. It is assumed that the utility company can adopt
adequate pricing tariffs that differentiate the energy usage in time
and level. We show that for a common scenario, with a single
utility company serving multiple customers, the global optimal
performance in terms of minimizing the energy costs is achieved
at the Nash equilibrium of the formulated energy consumption
scheduling game. The proposed distributed demand-side energy
management strategy requires each user to simply apply its best
response strategy to the current total load and tariffs in the power
distribution system. The users can maintain privacy and do not
need to reveal the details on their energy consumption schedules
to other users. We also show that users will have the incentives
to participate in the energy consumption scheduling game and
subscribing to such services. Simulation results confirm that the
proposed approach can reduce the peak-to-average ratio of the
total energy demand, the total energy costs, as well as each user’s
individual daily electricity charges.
Index Terms—Demand-side management, distributed algo-
rithms, energy consumption scheduling, energy pricing, game
theory, market incentives, smart grid, smart meter.
I. INTRODUCTION
D
EMAND-SIDE management (DSM) commonly refers to
programs implemented by utility companies to control
the energy consumption at the customer side of the meter
Manuscript received April 07, 2010; revised July 05, 2010; accepted August
15, 2010. Date of current version November 19, 2010. Paper no. TSG-00045-
2010.
A. H. Mohsenian-Rad was with the Department of Electrical and Computer
Engineering, University of British Columbia, Vancouver, BC, Canada, V6T 1Z4
and with the Department of Electrical and Computer Engineering, University
of Toronto, Toronto, ON, Canada, M5S 2E4. He is now with the Department
of Electrical and Computer Engineering, Texas Tech University, Lubbock, TX
79409, USA (e-mail: hamed.mohsenian-rad@ttu.edu).
V. W. S. Wong, J. Jatskevich, and R. Schober are with the Department of Elec-
trical and Computer Engineering, University of British Columbia, Vancouver,
BC, Canada, V6T 1Z4 (e-mail: vincentw@ece.ubc.ca; jurij@ece.ubc.ca;
rschober@ece.ubc.ca).
A. Leon-Garcia is with the Department of Electrical and Computer Engi-
neering, University of Toronto, Toronto, ON, Canada, M5S 2E4 (e-mail: al-
berto.leongarcia@utoronto.ca).
Color versions of one or more of the figures in this paper are available online
at http://ieeexplore.ieee.org.
Digital Object Identifier 10.1109/TSG.2010.2089069
[1]. These programs are employed to use the available energy
more efficiently without installing new generation and trans-
mission infrastructure. DSM programs include conservation
and energy efficiency programs, fuel substitution programs,
demand response programs, and residential or commercial load
management programs [2]–[4]. Residential load management
programs usually aim at one or both of the following design
objectives: reducing consumption and shifting consumption
[5]. The former can be achieved among users by encouraging
energy-aware consumption patterns and by constructing more
energy efficient buildings. However, there is also a need for
practical solutions to shift the high-power household appliances
to off-peak hours to reduce the peak-to-average ratio (PAR) in
load demand. Appropriate load-shifting is foreseen to become
even more crucial as plug-in hybrid electric vehicles (PHEVs)
become popular. Most PHEVs need 0.2–0.3 KWh of charging
power for one mile of driving [6]. This will represent a signifi-
cant new load on the existing distribution system. In particular,
during the charging time, the PHEVs can almost double the
average household load and drastically exacerbate the already
high PAR. Moreover, unbalanced conditions resulting from an
increasing number of PHEVs may lead to further degradation
of the power quality, voltage problems, and even potential
damage to utility and consumer equipment if the system is not
properly reinforced [6].
One approach in residential load management is direct
load control (DLC) [7]–[10]. In DLC programs, based on an
agreement between the utility company and the customers, the
utility or an aggregator, which is managed by the utility, can
remotely control the operations and energy consumption of
certain appliances in a household. For example, it may control
lighting, thermal comfort equipment (i.e., heating, ventilating,
and air conditioning), refrigerators, and pumps. However, when
it comes to residential load control and home automation,
users’ privacy can be a major concern and even a barrier in
implementing DLC programs [11].
An alternative for DLC is smart pricing, where users are en-
couraged to individually and voluntarily manage their loads,
e.g., by reducing their consumption at peak hours [12]–[14].
In this regard, critical-peak pricing (CPP), time-of-use pricing
(ToUP), and real-time pricing (RTP) are among the popular op-
tions. For example, in RTP tariffs, the price of electricity varies
at different hours of the day. The prices are usually higher during
the afternoon, on hot days in the summer, and on cold days in the
winter [15]. RTP programs have been adopted in some places in
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