Applying optimal Nash‐Stackelberg game for load adjusting in DC microgrids

Mokhtarnejad, Zahra; Nazarzadeh, Jalal

doi:10.1002/etep.2781

Cited by 4 publications

(5 citation statements)

References 14 publications

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“…The parameters of the objective functions and DDC loads for these cases are included in Table 3. The simultaneous minimization problems (35) for the first and second boost converters can be analysed by Equation (13). The static Nash equilibrium point can be determined for different cases.…”

Section: Numerical Results In the Static Nash Equilibriummentioning

confidence: 99%

“…This situation will be non‐cooperative competition and the optimal performance of the system can be usually determined from the Nash equilibrium. Nash equilibrium is a state of DCM performance point, deviation from which leads to increase in operating costs of resources and system load [13]. For example, the feeding of DC loads from both sides of the supply can be selected using a static competition model based on Nash equilibrium [14].…”

Section: Introductionmentioning

confidence: 99%

“…Also, the game theory in the Nash equilibrium can be applied to schedule multi‐microgrid (MMG) systems for the daily operation [11] and manage the performances of the demand and supply sides [15]. In addition, the Stackelberg equilibrium can be used to achieve the an optimal operating point for the master–salve by reducing the losses and making appropriate adjustments of the DDCs [13].…”

Section: Introductionmentioning

confidence: 99%

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On the optimal game control in the DC microgrid systems

Mokhtarnejad,

Nazarzadeh

2024

IET Renewable Power Gen

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This paper introduces static and dynamic competitive optimal control of DC/DC converters in DC microgrids based on game theory considering mutual effects. Using static and dynamic game theories, the conditions for competitive optimal control of DC/DC converters in Nash equilibrium with static and dynamic states are determined. Also, to reduce the complexity in the design of competitive optimal control of DC/DC converters due to the bilinear dynamic model of the system, generalized objective functions are considered. The competitive optimal controls using the Lyapunov and Riccati equations are determined to track the system trajectory to Nash equilibrium. Also, the numerical and experimental results are presented and compared in several cases. The results show that the competitive optimal control of the DC/DC converters in the DC microgrids can effectively improve the performance of the system.

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Section: Numerical Results In the Static Nash Equilibriummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On the optimal game control in the DC microgrid systems

Mokhtarnejad,

Nazarzadeh

2024

IET Renewable Power Gen

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“…Game theory is applied to adjust the loads and voltages of electric grid in the work of Mokhtarnejad and Nazarzadeh Ref. . Bilevel programming model is used to analyze the optimal strategy of electric grid under the scenario of physical attack in some works Refs.…”

Section: Introductionmentioning

confidence: 99%

Optimal dispatch strategy analysis of fire extinguishing equipment for electric grid wildfire based on dynamic game

Zhou

Guo

2019

Int Trans Electr Energ Syst

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Summary It is a serious threat to the safety of bulk electric grid that wildfire disaster is likely to occur within a wide range when in high‐incidence seasons. An effective solution is to use fire extinguishing equipment to extinguish wildfire. However, fire extinguishing equipment is usually insufficient for wide range wildfire. This paper aims to analyze the optimal dispatch strategy of fire extinguishing equipment for electric grid wildfire. The interaction between wildfire and electric grid is modeled as a dynamic game, in which wildfire and electric grid are regarded as two players. Wildfire aims at maximizing electric grid's loss, whereas electric gird's goal is to minimize the loss. Multilevel programming model is built while using backward induction to solve the dynamic game. The optimal emergency dispatch strategy of fire extinguishing equipment is obtained. Thus, electric grid's risk can be minimized using the optimal emergency dispatch strategy. The effectiveness and validity of the proposed framework and method are demonstrated by application examples.

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“…Increased penetration of DC loads and sources and availability of advanced power electronic converters are making DC microgrid (DCMG) a viable and attractive option. [1][2][3][4][5][6][7][8][9][10] Researchers have focused on developing a suitable control strategy for reliable and stable operation of a DCMG. Droop control strategy at the primary control level has emerged as the most popular choice for autonomous and secure load sharing in a DCMG.…”

mentioning

confidence: 99%

An accurate current sharing method for an Islandeddroop‐controlled dcmicrogrid without communication between remote buses

Maulik

Das

2020

Int Trans Electr Energ Syst

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Summary The traditional droop control method in a DC microgrid (DCMG) fails to achieve accurate current sharing among parallel‐connected dispatchable units when the connecting feeders have unequal resistances, or when the units supply local loads apart from loads at the common dc bus. In this paper, a novel modification of the droop control strategy (additional feedback term in the outer control loop) is suggested to overcome the above limitations. The proposed method is robust, noise‐resilient, amenable to the “plug and play model”, and employs local measurements, thereby, dispensing with the need for communication between remote nodes. A small‐signal model of the system with the proposed control strategy is derived for carrying out eigenvalue and participation factor analysis. A sensitivity analysis is also carried out to inspect the impact of variation of system parameters on small‐signal stability. The effect of time delay and noise on system small‐signal stability is also studied. A robust stability analysis is also carried out. The proposed control strategy is easily implementable on digital hardware. Time domain simulations using PSCAD (Power System Computer Aided Design)/EMTDC(Electromagnetic Transients including DC) is carried out to validate and compare the performance of the proposed technique vis‐a‐vis other existing methods. Performance of the proposed method is good even with time delay and noise.

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Applying optimal Nash‐Stackelberg game for load adjusting in DC microgrids

Cited by 4 publications

References 14 publications

On the optimal game control in the DC microgrid systems

On the optimal game control in the DC microgrid systems

Optimal dispatch strategy analysis of fire extinguishing equipment for electric grid wildfire based on dynamic game

An accurate current sharing method for an Islandeddroop‐controlled dcmicrogrid without communication between remote buses

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