Applications of Game Theory to Design and Operation of Modern Power Systems: A Comprehensive Review

Navon, Aviad; Yosef, Gefen Ben; Machlev, Ram; Shapira, Shmuel C.; Belikov, Juri; Orda, Ariel; Levron, Yoash

doi:10.3390/en13153982

Cited by 33 publications

(16 citation statements)

References 124 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The time amount spent between two repetitions of the Q-values updates is stated by σ with 0 < σ ≤ 1, and Q a i (δσ) represents the Q-values at time kσ. Therefore, if this equation takes an infinitesimal scheme, after taking the limit σ → 0, Equation (7) gets to Equation (8).…”

Section: Relating Egt and Q-learningmentioning

confidence: 99%

See 1 more Smart Citation

Boltzmann Distributed Replicator Dynamics: Population Games in a Microgrid Context

Chica

Mojica‐Nava

Muñoz

2021

Games

View full text Add to dashboard Cite

Multi-Agent Systems (MAS) have been used to solve several optimization problems in control systems. MAS allow understanding the interactions between agents and the complexity of the system, thus generating functional models that are closer to reality. However, these approaches assume that information between agents is always available, which means the employment of a full-information model. Some tendencies have been growing in importance to tackle scenarios where information constraints are relevant issues. In this sense, game theory approaches appear as a useful technique that use a strategy concept to analyze the interactions of the agents and achieve the maximization of agent outcomes. In this paper, we propose a distributed control method of learning that allows analyzing the effect of the exploration concept in MAS. The dynamics obtained use Q-learning from reinforcement learning as a way to include the concept of exploration into the classic exploration-less Replicator Dynamics equation. Then, the Boltzmann distribution is used to introduce the Boltzmann-Based Distributed Replicator Dynamics as a tool for controlling agents behaviors. This distributed approach can be used in several engineering applications, where communications constraints between agents are considered. The behavior of the proposed method is analyzed using a smart grid application for validation purposes. Results show that despite the lack of full information of the system, by controlling some parameters of the method, it has similar behavior to the traditional centralized approaches.

show abstract

Section: Relating Egt and Q-learningmentioning

confidence: 99%

“…Other works focused on cases in which coordination and negotiation problems lead to the analysis of agents interactions [6]. Other approaches related to applications in power control based on game theory are found in [7].…”

Section: Introductionmentioning

confidence: 99%

Boltzmann Distributed Replicator Dynamics: Population Games in a Microgrid Context

Chica

Mojica‐Nava

Muñoz

2021

Games

View full text Add to dashboard Cite

show abstract

“…They further point that it is the science of strategy, or at least the optimal decision-making of independent and competing actors in a strategic setting [21]. Consequently, among many theoretical approaches, game theory has presented feasible solutions to modelling congestion [22]. In such a game, and for any given set of strategies, one for each player, the state for which the players obtain the highest possible utility (i.e.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Analysing Road Traffic Situation in Lilongwe: An Agent Based Modelling (ABM) Approach

Sibale

Munthali

2021

Adv. J. Grad. Res.

View full text Add to dashboard Cite

A 15, 451 km road network forms the main mode of transport for Malawi with 26 % paved. With increasing number of vehicles and elongated travel times during rush hour the study analysed the traffic situation on the M1 road between Mchinji and Area 18 roundabouts in Lilongwe City using an agent-based model (ABM). The methodology used game theory’s traffic grip model to analyse traffic flow by controlling traffic variables such as lights, speed limits and the number of vehicles. Each intersection was treated as non-cooperative game where each agent tried to minimize its queue resulting into Q−Nash’s equilibrium as the solution. The ABM tested the empirical relationships of traffic flow parameters in terms of density, ﬂow, acceleration, deceleration, speed, time lost in traffic congestion and fuel consumption. The model was calibrated using traffic data collected through observing 1,312 vehicles sampled against 24,977. The observation results from the road junctions reveal that on average, a vehicle takes 20 mins 18 seconds, 37 minutes 6 seconds, 44 minutes 21 seconds and 58 minutes 53 seconds to exit Chitukuko, Bwandilo, Chilambula roads and Area 18 roundabout respectively upon entering the M1 at Mchinji roundabout. This data was then used to calibrate the business-as-usual model for the peak hour scenario for the road junctions. The model results show that a selected vehicle entering Chitukuko junction travels at an average speed of 22.60 km/hr, until it exits that junction. On average the selected motorists spend 2.52 l/km with a traffic density of 72 v/km. If dualized average speeds improved to 41.54 km/hr while the traffic density declined to 54.42 v/km, saving motorists MK 3,921,624.00 annually. The predictive model of the dual carriage informed that by 2021, commuters will spend MK 5,187,168 on fuel more than single-lane business as usual scenario of 2019.

show abstract

“…Recently, the cooperative game theory approach has been applied in various areas because it can effectively find a balanced solution with much less computational effort [26]. Some applications of game theory for solving power system problems can be found in [27]. Examples of recent studies are on allocating the transmission losses [28,29], allocating the small power producer losses [30], allocating unit start-up costs of generators [31], constructing prosumer coalitions for energy cost savings [32], maintenance planning [33], and applications in distribution system expansion planning, including distributed generation [34].…”

Section: Introductionmentioning

confidence: 99%

Optimal Preventive Maintenance Planning for Electric Power Distribution Systems Using Failure Rates and Game Theory

Teera-achariyakul

Rerkpreedapong

2022

Energies

View full text Add to dashboard Cite

Current electric utilities must achieve reliability enhancement of considerable distribution feeders with an economical budget. Thus, optimal preventive maintenance planning is required to balance the benefits and costs of maintenance programs. In this research, the proposed method determines the time-varying failure rate of each feeder to evaluate the likelihood of future interruptions. Meanwhile, the consequences of feeder interruptions are estimated using interruption energy rates, customer-minutes of interruption, and total kVA of service areas. Then, the risk is assessed and later treated as an opportunity for mitigating the customer interruption costs by planned preventive maintenance tasks. Subsequently, cooperative game theory is exploited in the proposed method to locate a decent balance between the benefits of reliability enhancement and the costs required for preventive maintenance programs. The effectiveness of the proposed method is illustrated through case studies of large power distribution networks of 12 service regions, including 3558 medium-voltage distribution feeders. The preventive maintenance plans resulting from the proposed method present the best compromise of benefits and costs compared with the conventional approach that requires a pre-specified maintenance budget.

show abstract

Applications of Game Theory to Design and Operation of Modern Power Systems: A Comprehensive Review

Cited by 33 publications

References 124 publications

Boltzmann Distributed Replicator Dynamics: Population Games in a Microgrid Context

Boltzmann Distributed Replicator Dynamics: Population Games in a Microgrid Context

Analysing Road Traffic Situation in Lilongwe: An Agent Based Modelling (ABM) Approach

Optimal Preventive Maintenance Planning for Electric Power Distribution Systems Using Failure Rates and Game Theory

Contact Info

Product

Resources

About