WO2019000851A1 - Game theory-based relay selection and power distribution method in smart power grid - Google Patents

Game theory-based relay selection and power distribution method in smart power grid Download PDF

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WO2019000851A1
WO2019000851A1 PCT/CN2017/116133 CN2017116133W WO2019000851A1 WO 2019000851 A1 WO2019000851 A1 WO 2019000851A1 CN 2017116133 W CN2017116133 W CN 2017116133W WO 2019000851 A1 WO2019000851 A1 WO 2019000851A1
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relay
user
node
selection
optimal
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Chinese (zh)
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柯峰
邓子杰
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华南理工大学
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L5/00Arrangements affording multiple use of the transmission path
    • H04L5/003Arrangements for allocating sub-channels of the transmission path
    • H04L5/0032Distributed allocation, i.e. involving a plurality of allocating devices, each making partial allocation
    • H04L5/0035Resource allocation in a cooperative multipoint environment
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L67/00Network arrangements or protocols for supporting network services or applications
    • H04L67/01Protocols
    • H04L67/12Protocols specially adapted for proprietary or special-purpose networking environments, e.g. medical networks, sensor networks, networks in vehicles or remote metering networks
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W40/00Communication routing or communication path finding
    • H04W40/02Communication route or path selection, e.g. power-based or shortest path routing
    • H04W40/04Communication route or path selection, e.g. power-based or shortest path routing based on wireless node resources
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W40/00Communication routing or communication path finding
    • H04W40/02Communication route or path selection, e.g. power-based or shortest path routing
    • H04W40/04Communication route or path selection, e.g. power-based or shortest path routing based on wireless node resources
    • H04W40/08Communication route or path selection, e.g. power-based or shortest path routing based on wireless node resources based on transmission power
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W40/00Communication routing or communication path finding
    • H04W40/02Communication route or path selection, e.g. power-based or shortest path routing
    • H04W40/22Communication route or path selection, e.g. power-based or shortest path routing using selective relaying for reaching a BTS [Base Transceiver Station] or an access point
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W72/00Local resource management
    • H04W72/04Wireless resource allocation
    • H04W72/044Wireless resource allocation based on the type of the allocated resource
    • H04W72/0473Wireless resource allocation based on the type of the allocated resource the resource being transmission power
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

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  • the present invention relates to the field of wireless communication technologies, and in particular, to a game theory based relay selection and power allocation method in a smart grid.
  • Future wireless communication networks can achieve full-range signal coverage through relay transmission, reduce the impact of communication dead zones, and improve communication transmission quality.
  • the broadcast characteristics of the wireless network can be effectively utilized to achieve spatial diversity.
  • Relay selection in cooperative relay networks and power allocation on different relay nodes can greatly affect network performance.
  • the relay node may be provided by different service providers or individuals, and has selfish characteristics, and the resource demand has non-homogeneous constraint characteristics, which makes the cooperative transmission of nodes through effective incentive mechanism become inevitable.
  • the smart grid as a next-generation power network is very different from the traditional grid, which will have different impacts on the field of wireless network communication technology.
  • renewable energy plays a very important role in the power grid. Because different renewable energy generation conditions are different, the price offered by the grid when transmitting energy is also different, so it is carried out in the communication network. Factors to consider when relaying and power allocation. At present, most of the relay selection and power allocation in the study only consider the optimal power selection and relay selection, ignoring the impact of the energy price difference provided by the grid on the final decision.
  • the present invention provides a game theory based relay selection and power allocation method in a smart grid.
  • a game-based relay selection and power allocation method in a smart grid is applicable to a half-duplex relay network system, including a source node S, a destination node D, and K relay nodes, including the following steps:
  • the user Before the S1 user transmits each data block, the user can select the relay cooperation mode. Specifically, the user selects the most suitable relay from the K relay nodes according to the utility function to establish a cooperative communication link.
  • the utility function of the S2 user for each relay node k is U S,k ( ⁇ k (t)), and the user selects each relay node under the condition that each relay offer set ⁇ (t) is known.
  • Optimal purchase power p k to maximize its utility function
  • the transmission mode of the relay in the S1 adopts a time division multiplexing mode, in which the user sends data to the base station in the first time slot, and each relay node receives the broadcast data block, and performs relay selection in the second time slot. power distribution, selected relay power k * p k to transmit data to the base station.
  • the user's own utility function for the relay node in S2 among them Interrupt capacity available to the user.
  • ⁇ min in the S3 is the lowest price that the relay node can drop, that is,
  • the invention introduces an economic game theory method under the relay selection and power allocation method, and models the user as the buyer to select the optimal relay and the best purchasing power based on the maximum utility, and models the relay as a seller.
  • the smart grid provides different cost prices to determine the selling price strategy to obtain the maximum profit.
  • the invention can effectively increase the transmission rate while taking into account the interests of the user and the relay node, and the calculation amount is small and the convergence speed is fast.
  • Figure 1 is a flow chart of the operation of the present invention
  • FIG. 2 is a block diagram of a relay selection and power allocation method of the present invention
  • Figure 3 is a graph showing the user utility in the user and the relay game during the game
  • Figure 4 is a graph showing the variation of the relay price during the user-relay game in this example.
  • Figure 5 is a diagram showing changes in the selected optimal relay with user position change in the present example
  • Figure 6 is a plot of the selected optimal relay price as a function of user position change in this example.
  • a game theory based relay selection and power allocation method for a relay network system the relay network system under the smart grid includes a source node S, a destination node D, and K relay nodes R, the core step is that the user chooses the optimal relay and the best purchasing power as the buyer with the maximum utility as the criterion.
  • the relay acts as the seller to provide the maximum profit by the smart grid to provide different cost price to determine the selling price strategy.
  • the relay competes in the market, and finally the game is balanced.
  • the user and the relay node both reach the Nash equilibrium point according to the maximization of their own utility and no longer change the decision.
  • a game-based relay selection and power allocation method in a smart grid is applicable to a half-duplex relay network system, and includes the following steps:
  • the user Before the S1 user transmits each data block, the user can select the relay cooperation mode. Specifically, the user selects the most suitable relay from the K relay nodes according to the utility function to establish a cooperative communication link.
  • the user has two transmission modes: a direct transmission mode and a relay cooperation mode, and the user selects which working mode is determined by the value of the utility function value.
  • the utility function of the S2 user for each relay node k is U S,k ( ⁇ k (t)), and the user selects each relay node under the condition that each relay offer set ⁇ (t) is known.
  • Optimal purchase power p k to maximize its utility function
  • the S3 is specifically that the relay node takes action, and if the relay is selected, if the price is reduced to sell more power, the profit function is increased, the price is lowered, and if the profit cannot be increased, the price is not lowered; the selected relay does not reduce the price and then obtains a new one.
  • the quotation set ⁇ (t+1), if ⁇ (t) ⁇ (t+1) then no iteration, otherwise iteratively.
  • FIG. 2 A block diagram of the relay selection and power allocation method of the embodiment of the present invention is shown in FIG. 2.
  • Noise power 10 -8 W channel gain is Rayleigh fading Where d i,j is the distance between the nodes, the channel fading factor ⁇ is 2, the outage probability ⁇ is 0.001, and the prices of the four relay nodes purchased from the smart grid are respectively ⁇ 3, 1.5, 2, 2 ⁇
  • the amplitude of the price reduction ⁇ is 0.2.
  • Figure 3 and Figure 4 show the game between the user and the relay when the user is at (+130m, 0m).
  • the optimal relay is selected as the relay 1.
  • Other unselected trunks began to cut prices to attract users.
  • the price dropped users found that when they selected trunk 3, their utility was relatively large, so they began to choose trunk 3, while relays 1, 2, and 4 continued to cut prices.
  • the price of each relay no longer changes, and then the Nash equilibrium point is reached to select the optimal relay.
  • the optimal purchase power is also iterated.
  • Figures 5 and 6 reflect the case where the user source node S moves from (-300m, 0m) to (+300m, 0m) when the relay is selected and the price changes.
  • the user selects the direct transmission mode and the relay cooperation mode, and also selects the optimal relay and the optimal purchase power at different position moments according to different situations, wherein the price is also due to competition between the relays and Smart grids offer different cost prices and vary.

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  • Engineering & Computer Science (AREA)
  • Signal Processing (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Health & Medical Sciences (AREA)
  • Computing Systems (AREA)
  • General Health & Medical Sciences (AREA)
  • Medical Informatics (AREA)
  • Mobile Radio Communication Systems (AREA)

Abstract

Disclosed is a game theory-based relay selection and power distribution method in a smart power grid, applicable to a relay network system. The system comprises a source node, a destination node, and a relay node. Under the condition of each relay quotation, the user modeling is that a purchaser takes the maximum utility as the rule to select an optimal relay and optimal purchase power, and the relay modeling is that a seller determines a selling price strategy according to different cost prices provided by the smart power grid to obtain the maximum profit. After continuous game iteration, the user's selection of a relay, the optimal power distribution and the quotation of the relay finally do not change again, i.e., reaching a Nash equilibrium point. The present invention can effectively improve the transmission rate while taking the profits of the user and the relay node into account, is smaller in calculation burden, and is high in convergence rate.

Description

一种智能电网中基于博弈论的中继选择和功率分配方法Game theory based relay selection and power allocation method in smart grid 技术领域Technical field
本发明涉及无线通信技术领域,具体涉及一种智能电网中基于博弈论的中继选择和功率分配方法。The present invention relates to the field of wireless communication technologies, and in particular, to a game theory based relay selection and power allocation method in a smart grid.
背景技术Background technique
未来的无线通信网络通过中继传输可以实现全范围信号的覆盖,减少通信盲区的影响,改善通信传输质量。通过中继的协作传输,可以有效利用无线网络的广播特性,实现空间分集。协作中继网络中的中继选择和在不同中继节点上的功率分配可以极大地影响网络的性能。Future wireless communication networks can achieve full-range signal coverage through relay transmission, reduce the impact of communication dead zones, and improve communication transmission quality. Through the coordinated transmission of the relay, the broadcast characteristics of the wireless network can be effectively utilized to achieve spatial diversity. Relay selection in cooperative relay networks and power allocation on different relay nodes can greatly affect network performance.
未来的协作中继网络中,中继节点可能为不同的服务商或个人所提供,具有自私特性,同时对资源的需求具有非均质约束特性,这些使得通过有效激励机制实现节点的协作传输成为必然。另一方面智能电网作为下一代电能网络与现状传统的电网有着很大的差异,这对无线网络通信技术领域产生的影响也将会有所不同。在未来的智能电网中,可再生能源在电网中起到非常关键的作用,由于不同可再生能源的产生条件不同因此电网在进行能量传输时所提供的价格也有所不同,因此在通信网络中进行中继选择和功率分配时要考虑的因素。目前研究中的中继选择和功率分配时大部分仅考虑最优的功率选择以及中继选择,忽略了电网提供能量价格差异对最终决策所带来的影响。In the future cooperative relay network, the relay node may be provided by different service providers or individuals, and has selfish characteristics, and the resource demand has non-homogeneous constraint characteristics, which makes the cooperative transmission of nodes through effective incentive mechanism become inevitable. On the other hand, the smart grid as a next-generation power network is very different from the traditional grid, which will have different impacts on the field of wireless network communication technology. In the future smart grid, renewable energy plays a very important role in the power grid. Because different renewable energy generation conditions are different, the price offered by the grid when transmitting energy is also different, so it is carried out in the communication network. Factors to consider when relaying and power allocation. At present, most of the relay selection and power allocation in the study only consider the optimal power selection and relay selection, ignoring the impact of the energy price difference provided by the grid on the final decision.
发明内容Summary of the invention
为了克服现有技术存在的缺点与不足,本发明提供一种智能电网中基于博弈论的中继选择和功率分配方法。In order to overcome the shortcomings and deficiencies of the prior art, the present invention provides a game theory based relay selection and power allocation method in a smart grid.
本发明采用如下技术方案:The invention adopts the following technical solutions:
一种智能电网中基于博弈论的中继选择和功率分配方法,适用于半双工中继网络系统,包括一个源节点S、一个目的节点D以及K个中继节点,包括如下步骤:A game-based relay selection and power allocation method in a smart grid is applicable to a half-duplex relay network system, including a source node S, a destination node D, and K relay nodes, including the following steps:
S1用户在每个数据块传输之前,用户可选择中继协作模式,具体为:用户根据自身效用函数从K个中继节点中选择最合适的中继来建立协作通信链路。每个中继节点的报价为η k(t),所有中继构成报价集合为Ψ(t)={η 1(t),η 2(t),…η K(t)}; Before the S1 user transmits each data block, the user can select the relay cooperation mode. Specifically, the user selects the most suitable relay from the K relay nodes according to the utility function to establish a cooperative communication link. The quotation of each relay node is η k (t), and all relays constitute a quotation set of Ψ(t)={η 1 (t), η 2 (t),...η K (t)};
S2用户对每个中继节点k的效用函数为U S,kk(t)),在得知每个中继报价集合Ψ(t)的条件下,用户对每个中继节点选择最优购买功率p k来使得自身的效用函数达到最大值为
Figure PCTCN2017116133-appb-000001
用户对K个中继节点组成的效用函数最大值集合
Figure PCTCN2017116133-appb-000002
用户再从集合Θ(Ψ(t))选取最大值,其对应的中继节点为最优中继节点k *=argmax(Θ(Ψ(t)));
The utility function of the S2 user for each relay node k is U S,kk (t)), and the user selects each relay node under the condition that each relay offer set Ψ(t) is known. Optimal purchase power p k to maximize its utility function
Figure PCTCN2017116133-appb-000001
The maximum set of utility functions composed by the user for K relay nodes
Figure PCTCN2017116133-appb-000002
The user then selects the maximum value from the set Θ(Ψ(t)), and the corresponding relay node is the optimal relay node k * =argmax(Θ(Ψ(t)));
S3最优中继k *的利润函数
Figure PCTCN2017116133-appb-000003
若被选中继k *能通过降价
Figure PCTCN2017116133-appb-000004
出售更多功率来获得更多利润,则更新报价集合Ψ(t)={η 1(t),η 2(t),…η K(t)},若不降价则报价集合Ψ(t)不变;
S3 optimal relay k * profit function
Figure PCTCN2017116133-appb-000003
If the selected relay k * can pass the price reduction
Figure PCTCN2017116133-appb-000004
Sell more power to get more profit, then update the quotation set Ψ(t)={η 1 (t), η 2 (t),...η K (t)}, if not cut, the quotation set Ψ(t) constant;
其他没有被用户选择的中继将进行通过降价来吸引用户,即η(t+1)=max(η min,η(t)-△η),然后得到新的报价集合为Ψ(t+1)={η 1(t+1),η 2(t+1),…η K(t+1)},如果Ψ(t)=Ψ(t+1)则说明中继不再修改报价,用户和中继的策略不再发生变化即达到纳什均衡点,否则返回到S1中。 Other relays that are not selected by the user will be used to attract users by price reduction, ie η(t+1)=max(η min , η(t)-Δη), and then get a new set of offers as Ψ(t+1) )={η 1 (t+1), η 2 (t+1),...η K (t+1)}, if Ψ(t)=Ψ(t+1), the relay no longer modifies the quote. The user and relay policies no longer change, that is, the Nash equilibrium point is reached, otherwise it returns to S1.
所述S1中中继的传输方式采用时分复用方式,在第一个时隙用户向基站发送数据,同时各个中继节点收到广播的数据块,第二个时隙内进行中继选择和功率分配,选中的中继k *以功率p k向基站发送数据。 The transmission mode of the relay in the S1 adopts a time division multiplexing mode, in which the user sends data to the base station in the first time slot, and each relay node receives the broadcast data block, and performs relay selection in the second time slot. power distribution, selected relay power k * p k to transmit data to the base station.
所述S2中用户自身对中继节点的效用函数
Figure PCTCN2017116133-appb-000005
其中
Figure PCTCN2017116133-appb-000006
为用户可达的中断容量。
The user's own utility function for the relay node in S2
Figure PCTCN2017116133-appb-000005
among them
Figure PCTCN2017116133-appb-000006
Interrupt capacity available to the user.
所述S3中中继节点自身的利润函数为:U k(p kk)=(η k-c k)p k,其中c k为中继的成本价格,即中继从智能电网中购入的价格。 The profit function of the relay node itself in S3 is: U k (p k , η k )=(η k -c k )p k , where c k is the cost price of the relay, ie the relay is from the smart grid The price of the purchase.
所述S3中η min为中继节点的所能降到的最低价格,即
Figure PCTCN2017116133-appb-000007
η min in the S3 is the lowest price that the relay node can drop, that is,
Figure PCTCN2017116133-appb-000007
本发明的有益效果:The beneficial effects of the invention:
本发明在中继选择和功率分配方法下引入经济学博弈论的方法,将用户建模为买者以最大效用为准则选择最优中继和最佳购买功率,将中继建模为卖者由智能电网提供不同的成本价格确定出售价格策略获得最大利润,本发明能够兼顾用户和中继节点的利益的同时有效提高传输速率,计算量较少而且收敛速度快。The invention introduces an economic game theory method under the relay selection and power allocation method, and models the user as the buyer to select the optimal relay and the best purchasing power based on the maximum utility, and models the relay as a seller. The smart grid provides different cost prices to determine the selling price strategy to obtain the maximum profit. The invention can effectively increase the transmission rate while taking into account the interests of the user and the relay node, and the calculation amount is small and the convergence speed is fast.
附图说明DRAWINGS
图1是本发明的工作流程图;Figure 1 is a flow chart of the operation of the present invention;
图2是本发明中继选择和功率分配方法的程序框图;2 is a block diagram of a relay selection and power allocation method of the present invention;
图3是本实例中用户效用在用户与中继博弈过程中变化曲线;Figure 3 is a graph showing the user utility in the user and the relay game during the game;
图4是本实例中中继价格在用户与中继博弈过程中变化曲线;Figure 4 is a graph showing the variation of the relay price during the user-relay game in this example;
图5是本实例中被选择的最优中继随用户位置改变的变化图;Figure 5 is a diagram showing changes in the selected optimal relay with user position change in the present example;
图6是本实例中被选择的最优中继价格随用户位置改变的变化曲线。Figure 6 is a plot of the selected optimal relay price as a function of user position change in this example.
具体实施方式Detailed ways
下面结合实施例及附图,对本发明作进一步地详细说明,但本发明的实施方式不限于此。The present invention will be further described in detail below with reference to the embodiments and drawings, but the embodiments of the present invention are not limited thereto.
实施例Example
一种智能电网中基于博弈论的中继选择和功率分配方法,用于中继网络系统,所述智能电网下的中继网络系统包括一个源节点S、一个目的节点D以及K个中继节点R,核心步骤是用户作为买者以最大效用为准则选择最优中继和最佳购买功率,中继作为卖者由智能电网提供不同的成本价格确定出售价格策略获得最大利润,两者进行博弈,中继在市场中进行竞争,最终两者进行博弈达到平衡,用户和中继节点都根据自身效用最大化而不再改变决策即达到了纳什均衡点。A game theory based relay selection and power allocation method for a relay network system, the relay network system under the smart grid includes a source node S, a destination node D, and K relay nodes R, the core step is that the user chooses the optimal relay and the best purchasing power as the buyer with the maximum utility as the criterion. The relay acts as the seller to provide the maximum profit by the smart grid to provide different cost price to determine the selling price strategy. The relay competes in the market, and finally the game is balanced. The user and the relay node both reach the Nash equilibrium point according to the maximization of their own utility and no longer change the decision.
如图1所示,一种智能电网中基于博弈论的中继选择和功率分配方法,适用于半双工中继网络系统,包括如下步骤:As shown in FIG. 1 , a game-based relay selection and power allocation method in a smart grid is applicable to a half-duplex relay network system, and includes the following steps:
S1用户在每个数据块传输之前,用户可选择中继协作模式,具体为:用户根据自身效用函数从K个中继节点中选择最合适的中继来建立协作通信链路。每个中继节点的报价为η k(t),所有中继构成报价集合为Ψ(t)={η 1(t),η 2(t),…η K(t)}; Before the S1 user transmits each data block, the user can select the relay cooperation mode. Specifically, the user selects the most suitable relay from the K relay nodes according to the utility function to establish a cooperative communication link. The quotation of each relay node is η k (t), and all relays constitute a quotation set of Ψ(t)={η 1 (t), η 2 (t),...η K (t)};
在中继网络系统模型中,用户有两种传输模式:直接传输模式和中继协作模式,用户在选择哪种工作模式是由自身的效用函数值大小来进行决定的。In the relay network system model, the user has two transmission modes: a direct transmission mode and a relay cooperation mode, and the user selects which working mode is determined by the value of the utility function value.
S2用户对每个中继节点k的效用函数为U S,kk(t)),在得知每个中继报价集合Ψ(t)的条件下,用户对每个中继节点选择最优购买功率p k来使得自身的效用函数达到最大值为
Figure PCTCN2017116133-appb-000008
用户对K个中继节点组成的效用函数最大值集合
Figure PCTCN2017116133-appb-000009
用户再从集合Θ(Ψ(t))选取最大值,其对应的中继节点为最优中继节点k *=argmax(Θ(Ψ(t)));
The utility function of the S2 user for each relay node k is U S,kk (t)), and the user selects each relay node under the condition that each relay offer set Ψ(t) is known. Optimal purchase power p k to maximize its utility function
Figure PCTCN2017116133-appb-000008
The maximum set of utility functions composed by the user for K relay nodes
Figure PCTCN2017116133-appb-000009
The user then selects the maximum value from the set Θ(Ψ(t)), and the corresponding relay node is the optimal relay node k * =argmax(Θ(Ψ(t)));
S3最优中继k *的利润函数
Figure PCTCN2017116133-appb-000010
若被选中继k *能通过降价
Figure PCTCN2017116133-appb-000011
出售更多功率来获得更多利润,则更新报价集合Ψ(t)={η 1(t),η 2(t),…η K(t)},若不降价则报价集合Ψ(t)不变;
S3 optimal relay k * profit function
Figure PCTCN2017116133-appb-000010
If the selected relay k * can pass the price reduction
Figure PCTCN2017116133-appb-000011
Sell more power to get more profit, then update the quotation set Ψ(t)={η 1 (t), η 2 (t),...η K (t)}, if not cut, the quotation set Ψ(t) constant;
其他没有被用户选择的中继将进行通过降价来吸引用户,即η(t+1)=max(η min,η(t)-△η),然后得到新的报价集合为Ψ(t+1)={η 1(t+1),η 2(t+1),…η K(t+1)},如果Ψ(t)=Ψ(t+1)则说明中继不再修改报价,用 户和中继的策略不再发生变化即达到纳什均衡点,否则返回到S1中。 Other relays that are not selected by the user will be used to attract users by price reduction, ie η(t+1)=max(η min , η(t)-Δη), and then get a new set of offers as Ψ(t+1) )={η 1 (t+1), η 2 (t+1),...η K (t+1)}, if Ψ(t)=Ψ(t+1), the relay no longer modifies the quote. The user and relay policies no longer change, that is, the Nash equilibrium point is reached, otherwise it returns to S1.
所述S3具体是中继节点采取行动,被选中中继如果降价卖更多功率使自己利润函数增加则降价,如果不能增加自己利润则不降价;没有被选中的中继进行降价然后得到新的报价集合Ψ(t+1),如果Ψ(t)=Ψ(t+1)则不用迭代,否则继续迭代。The S3 is specifically that the relay node takes action, and if the relay is selected, if the price is reduced to sell more power, the profit function is increased, the price is lowered, and if the profit cannot be increased, the price is not lowered; the selected relay does not reduce the price and then obtains a new one. The quotation set Ψ(t+1), if Ψ(t)=Ψ(t+1) then no iteration, otherwise iteratively.
在不断博弈迭代之后最终用户对中继的选择、最优功率分配以及中继的报价不再发生变化后,即可认为用户和中继节点不再改变决策即达到了纳什均衡点。本发明实施例的中继选择和功率分配方法的程序框图如图2所示。After the end of the game iteration, the end user's selection of the relay, the optimal power allocation, and the quotation of the relay no longer change, and then the user and the relay node can be considered to no longer change the decision to reach the Nash equilibrium point. A block diagram of the relay selection and power allocation method of the embodiment of the present invention is shown in FIG. 2.
本实施例采用的基本场景如下:The basic scenarios adopted in this embodiment are as follows:
协作通信网络中有一个目的节点D位于(0m,0m),共有四个中继节点Ω={1,2,3,4},分别位于(-150m,0m),(-150m,50m),(-100m,0m),(100m,0m),有一个源节点S从(-300m,0m)移动到(+300m,0m)。噪声功率
Figure PCTCN2017116133-appb-000012
为10 -8W,信道增益为瑞利衰落
Figure PCTCN2017116133-appb-000013
其中d i,j为节点之间的距离,信道衰落因子α为2,中断概率ε为0.001,四个中继节点从智能电网中分别购入的价格分别为{3,1.5,2,2},中继每次降价的幅度△η为0.2。
In the cooperative communication network, there is a destination node D located at (0m, 0m), and there are four relay nodes Ω={1, 2, 3, 4}, located at (-150m, 0m), (-150m, 50m), (-100m, 0m), (100m, 0m), there is a source node S moving from (-300m, 0m) to (+300m, 0m). Noise power
Figure PCTCN2017116133-appb-000012
10 -8 W, channel gain is Rayleigh fading
Figure PCTCN2017116133-appb-000013
Where d i,j is the distance between the nodes, the channel fading factor α is 2, the outage probability ε is 0.001, and the prices of the four relay nodes purchased from the smart grid are respectively {3, 1.5, 2, 2} The amplitude of the price reduction Δη is 0.2.
本实例的仿真结果使用仿真软件Matlab获得。The simulation results of this example were obtained using the simulation software Matlab.
图3和图4反映了用户在(+130m,0m)时用户与中继之间的博弈,刚开始时候由于用户在选择中继1情况下自身效用最大因此最优中继选择为中继1,其他没有被选择的中继都开始降价来吸引用户,随着价格的下降用户发现选择中继3时自身效用比较大因而开始选择中继3,而中继1、2和4继续降价,最终不断迭代大约75次后,各个中继的价格不再发生变化即开始达到了纳什均衡点从而选择出最优中继,此时也迭代出最优购买功率。Figure 3 and Figure 4 show the game between the user and the relay when the user is at (+130m, 0m). At the beginning, because the user has the most utility in selecting the relay 1, the optimal relay is selected as the relay 1. Other unselected trunks began to cut prices to attract users. As the price dropped, users found that when they selected trunk 3, their utility was relatively large, so they began to choose trunk 3, while relays 1, 2, and 4 continued to cut prices. After about 75 iterations, the price of each relay no longer changes, and then the Nash equilibrium point is reached to select the optimal relay. At this time, the optimal purchase power is also iterated.
图5和图6反应了用户源节点S从(-300m,0m)移动到(+300m,0m)时候选择中继以及价格变化的情况。在不断移动的过程中用户在选择直接传输模式和中继协作模式的同时也根据不同的情形选择不同位置时刻的最优中继和最优购买功率,其中价格也因中继之间的竞争和智能电网提供不同成本价格而有所不同。Figures 5 and 6 reflect the case where the user source node S moves from (-300m, 0m) to (+300m, 0m) when the relay is selected and the price changes. In the process of continuous movement, the user selects the direct transmission mode and the relay cooperation mode, and also selects the optimal relay and the optimal purchase power at different position moments according to different situations, wherein the price is also due to competition between the relays and Smart grids offer different cost prices and vary.
上述实施例为本发明较佳的实施方式,但本发明的实施方式并不受所述实施例的限制,其他的任何未背离本发明的精神实质与原理下所作的改变、修饰、替代、组合、简化,均应为等效的置换方式,都包含在本发明的保护范围之内。The above embodiments are preferred embodiments of the present invention, but the embodiments of the present invention are not limited to the embodiments, and any other changes, modifications, substitutions, and combinations may be made without departing from the spirit and scope of the present invention. And simplifications, all of which are equivalent replacement means, are included in the scope of protection of the present invention.

Claims (5)

  1. 一种智能电网中基于博弈论的中继选择和功率分配方法,适用于半双工中继网络系统,包括一个源节点S、一个目的节点D以及K个中继节点,其特征在于,包括如下步骤:A game-based relay selection and power allocation method in a smart grid is applicable to a half-duplex relay network system, including a source node S, a destination node D, and K relay nodes, and is characterized by including the following step:
    S1用户在每个数据块传输之前,用户可选择中继协作模式,具体为:用户根据自身效用函数从K个中继节点中选择最合适的中继来建立协作通信链路。每个中继节点的报价为η k(t),所有中继构成报价集合为Ψ(t)={η 1(t),η 2(t),…η K(t)}; Before the S1 user transmits each data block, the user can select the relay cooperation mode. Specifically, the user selects the most suitable relay from the K relay nodes according to the utility function to establish a cooperative communication link. The quotation of each relay node is η k (t), and all relays constitute a quotation set of Ψ(t)={η 1 (t), η 2 (t),...η K (t)};
    S2用户对每个中继节点k的效用函数为U S,kk(t)),在得知每个中继报价集合Ψ(t)的条件下,用户对每个中继节点选择最优购买功率p k来使得自身的效用函数达到最大值为
    Figure PCTCN2017116133-appb-100001
    用户对K个中继节点组成的效用函数最大值集合
    Figure PCTCN2017116133-appb-100002
    用户再从集合Θ(Ψ(t))选取最大值,其对应的中继节点为最优中继节点k *=argmax(Θ(Ψ(t)));
    The utility function of the S2 user for each relay node k is U S,kk (t)), and the user selects each relay node under the condition that each relay offer set Ψ(t) is known. Optimal purchase power p k to maximize its utility function
    Figure PCTCN2017116133-appb-100001
    The maximum set of utility functions composed by the user for K relay nodes
    Figure PCTCN2017116133-appb-100002
    The user then selects the maximum value from the set Θ(Ψ(t)), and the corresponding relay node is the optimal relay node k * =argmax(Θ(Ψ(t)));
    S3最优中继k *的利润函数
    Figure PCTCN2017116133-appb-100003
    若被选中继k *能通过降价
    Figure PCTCN2017116133-appb-100004
    出售更多功率来获得更多利润,则更新报价集合Ψ(t)={η 1(t),η 2(t),…η K(t)},若不降价则报价集合Ψ(t)不变;
    S3 optimal relay k * profit function
    Figure PCTCN2017116133-appb-100003
    If the selected relay k * can pass the price reduction
    Figure PCTCN2017116133-appb-100004
    Sell more power to get more profit, then update the quotation set Ψ(t)={η 1 (t), η 2 (t),...η K (t)}, if not cut, the quotation set Ψ(t) constant;
    其他没有被用户选择的中继将进行通过降价来吸引用户,即η(t+1)=max(η min,η(t)-△η),然后得到新的报价集合为Ψ(t+1)={η 1(t+1),η 2(t+1),…η K(t+1)},如果Ψ(t)=Ψ(t+1)则说明中继不再修改报价,用户和中继的策略不再发生变化即达到纳什均衡点,否则返回到S1中。 Other relays that are not selected by the user will be used to attract users by price reduction, ie η(t+1)=max(η min , η(t)-Δη), and then get a new set of offers as Ψ(t+1) )={η 1 (t+1), η 2 (t+1),...η K (t+1)}, if Ψ(t)=Ψ(t+1), the relay no longer modifies the quote. The user and relay policies no longer change, that is, the Nash equilibrium point is reached, otherwise it returns to S1.
  2. 根据权利要求1所述的中继选择和功率分配方法,其特征在于,所述S1中中继的传输方式采用时分复用方式,在第一个时隙用户向基站发送数据,同时各个中继节点收到广播的数据块,第二个时隙内进行中继选择和功率分配,选中的中继k *以功率p k向基站发送数据。 The relay selection and power allocation method according to claim 1, wherein the transmission mode of the relay in the S1 adopts a time division multiplexing manner, in which the user transmits data to the base station in the first time slot, and each relay node receives the broadcast data block, relay selection and power allocation for the second time slot, k * selected relay station to transmit data to the power p k.
  3. 根据权利要求1所述的中继选择和功率分配方法,其特征在于,所述S2中用户自身对中继节点的效用函数
    Figure PCTCN2017116133-appb-100005
    其中
    Figure PCTCN2017116133-appb-100006
    为用户可达的中断容量。
    The relay selection and power allocation method according to claim 1, wherein the user's own utility function for the relay node in S2
    Figure PCTCN2017116133-appb-100005
    among them
    Figure PCTCN2017116133-appb-100006
    Interrupt capacity available to the user.
  4. 根据权利要求1所述的中继选择和功率分配方法,其特征在于,所述S3中中继节点自身的利润函数为:U k(p kk)=(η k-c k)p k,其中c k为中继的成本价格,即中继从智能电网中购入的价格。 The relay selection and power allocation method according to claim 1, wherein the profit function of the relay node itself in the S3 is: U k (p k , η k )=(η k -c k )p k , where c k is the cost price of the relay, ie the price that the relay purchases from the smart grid.
  5. 根据权利要求4所述的中继选择和功率分配方法,其特征在于,所述S3中η min为中继节点的所能降到的最低价格,即
    Figure PCTCN2017116133-appb-100007
    The relay selection and power allocation method according to claim 4, wherein η min in the S3 is a lowest price that the relay node can drop, that is,
    Figure PCTCN2017116133-appb-100007
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