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Coordinated optimal dispatch and market equilibrium of integrated electric power and natural gas networks with P2G embedded 被引量:40
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作者 Zexing CHEN Yongjun ZHANG +3 位作者 Tianyao JI Zexiang CAI Licheng LI Zhiheng XU 《Journal of Modern Power Systems and Clean Energy》 SCIE EI 2018年第3期495-508,共14页
As power to gas(P2 G) technology gradually matures, the coupling between electricity networks and natural gas networks should ideally evolve synergistically.With the intent of characterizing market behaviors of integr... As power to gas(P2 G) technology gradually matures, the coupling between electricity networks and natural gas networks should ideally evolve synergistically.With the intent of characterizing market behaviors of integrated electric power and natural gas networks(IPGNs)with P2 G facilities, this paper establishes a steady-state model of P2 G and constructs optimal dispatch models of an electricity network and a natural gas network separately. In addition, a concept of slack energy flow(SEF) is proposed as a tool for coordinated optimal dispatch between the two networks. To study how the market pricing mechanism affects coordinated optimal dispatch in an IPGN, a market equilibrium-solving model for an IPGN is constructed according to game theory, with a solution based on the Nikaido-Isoda function. Case studies are conducted on a joint model that combines the modified IEEE 118-node electricity network and the Belgian 20-node gas network.The results show that if the game between an electric power company and a natural gas company reaches market equilibrium, not only can both companies maximize their profits, but also the coordinated operation of the coupling units, i.e., gas turbines and P2 G facilities, will contribute more to renewable energy utilization and carbon emission reduction. 展开更多
关键词 INTEGRATED electric power and natural GAS networks(IPGNs) Market equilibrium power to gas(P2G) SLACK energy flow(SEF)
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机组报价曲线的调整策略分析 被引量:15
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作者 李德良 李建华 +1 位作者 陈皓勇 王锡凡 《电网技术》 EI CSCD 北大核心 2002年第11期11-14,共4页
在电力市场环境下,发电公司可以通过策略性的投标来获取最大利润。文章以电力联营体(pool market)的市场模式,根据pool market中发电厂商之间供需的互补关系,研究了机组的报价曲线,分析了机组利润最大化的报价策略,得到了机组最优报价... 在电力市场环境下,发电公司可以通过策略性的投标来获取最大利润。文章以电力联营体(pool market)的市场模式,根据pool market中发电厂商之间供需的互补关系,研究了机组的报价曲线,分析了机组利润最大化的报价策略,得到了机组最优报价曲线的调整方法,同时讨论了在考虑电力需求弹性影响时此策略的均衡解。最后,通过算例说明了厂商在不同条件(如市场势力、协作与非协作报价、考虑电力需求弹性等)下的报价策略。文中所提的最优策略也可推广到发电公司之间的竞争。 展开更多
关键词 机组报价曲线 调整策略 电力市场 电力联营体 电价 电力工业 报价策略 均衡电价 市场势力
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基于博弈论的降低市场力策略 被引量:11
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作者 张志良 黄民翔 倪波 《电力系统及其自动化学报》 CSCD 2002年第3期35-38,59,共5页
在电力市场中一个很重要的研究课题就是如何有效的控制和降低市场力 ,杜绝各种不合理现象的发生 ,博弈论就是一个很有效的方法。本文主要针对基于博弈论的降低市场力的策略进行了探讨 ,提出了基于博弈论的降低市场力模型 ,并通过该模型... 在电力市场中一个很重要的研究课题就是如何有效的控制和降低市场力 ,杜绝各种不合理现象的发生 ,博弈论就是一个很有效的方法。本文主要针对基于博弈论的降低市场力的策略进行了探讨 ,提出了基于博弈论的降低市场力模型 ,并通过该模型对差价和约进行了分析。 展开更多
关键词 博弈论 市场力策略 电力市场 电价 电力供应商 电力工业
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Interdependence between transportation system and power distribution system: a comprehensive review on models and applications 被引量:21
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作者 Wei WEI Danman WU +2 位作者 Qiuwei WU Miadreza SHAFIE-KHAH Joao PSCATALAO 《Journal of Modern Power Systems and Clean Energy》 SCIE EI CSCD 2019年第3期433-448,共16页
The rapidly increasing penetration of electric vehicles(EVs) in modern metropolises has been witnessed during the past decade, inspired by financial subsidies as well as public awareness of climate change and environm... The rapidly increasing penetration of electric vehicles(EVs) in modern metropolises has been witnessed during the past decade, inspired by financial subsidies as well as public awareness of climate change and environment pro-tection. Integrating charging facilities, especially highpower chargers in fast charging stations, into power distribution systems remarkably alters the traditional load flow pattern, and thus imposes great challenges on the operation of distribution network in which controllable resources are rare. On the other hand, provided with appropriate incentives, the energy storage capability of electric vehicle offers a unique opportunity to facilitate the integration of distributed wind and solar power generation into power distribution system. The above trends call for thorough investigation and research on the interdependence between transportation system and power distribution system. This paper conducts a comprehensive survey on this line of research. The basic models of transportation system and power distribution system are introduced,especially the user equilibrium model, which describes the vehicular flow on each road segment and is not familiar to the readers in power system community. The modelling of interdependence across the two systems is highlighted.Taking into account such interdependence, applications ranging from long-term planning to short-term operation are reviewed with emphasis on comparing the description of traffic-power interdependence. Finally, an outlook of prospective directions and key technologies in future research is summarized. 展开更多
关键词 Charging station Electric vehicle(EV) INTERDEPENDENCE power flow power distribution system Transportation system User equilibrium
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基于演化博弈的电力竞价市场均衡分析 被引量:16
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作者 张新华 赖明勇 《管理工程学报》 CSSCI 2008年第2期144-147,共4页
基于非对称演化博弈原理,分别对MCP与PAB竞价机制下的电力竞价市场演化情况进行分析,在此基础上,从市场效率的角度对上述演化均衡进行政策分析,分析结果表明:在MCP机制下,选择适当的竞价上下限,可诱导电力竞价市场收敛于市场效率最高的... 基于非对称演化博弈原理,分别对MCP与PAB竞价机制下的电力竞价市场演化情况进行分析,在此基础上,从市场效率的角度对上述演化均衡进行政策分析,分析结果表明:在MCP机制下,选择适当的竞价上下限,可诱导电力竞价市场收敛于市场效率最高的竞价下限;但在PAB机制下,则不一定。最后,对由5个发电商组成的电力竞价市场进行了算例分析。 展开更多
关键词 演化博弈 市场均衡 政策分析 竞价机制 电力竞价
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随机需求下电力竞价市场演化均衡分析 被引量:12
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作者 张新华 赖明勇 《系统工程》 CSCD 北大核心 2007年第1期78-82,共5页
基于2×2非对称演化博弈原理,分别针对电力市场中的MCP与PAB竞价机制,分析了随机电力需求下的电力竞价市场演化情况;在此基础上,从市场效率的角度对演化均衡进行政策分析,并给出了竞价市场收敛于报价下限处的条件;分析表明:①MCP机... 基于2×2非对称演化博弈原理,分别针对电力市场中的MCP与PAB竞价机制,分析了随机电力需求下的电力竞价市场演化情况;在此基础上,从市场效率的角度对演化均衡进行政策分析,并给出了竞价市场收敛于报价下限处的条件;分析表明:①MCP机制相对于PAB机制更易使电力竞价市场收敛于报价下限处;②若报价下限一定,使电力竞价市场收敛于报价下限的报价上限要么较大要么逼近报价下限;最后进行算例分析。 展开更多
关键词 演化博弈 随机需求 市场均衡 竞价机制 电力市场
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考虑发电商多时间耦合决策的碳-电市场均衡分析 被引量:9
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作者 孙晓聪 丁一 +3 位作者 包铭磊 郭超 梁梓杨 叶承晋 《电力系统自动化》 EI CSCD 北大核心 2023年第21期1-11,共11页
作为碳市场和电力现货市场的共同参与者,发电商的决策行为将同时影响两市场的出清结果,碳-电市场耦合日益紧密。在此背景下,模拟发电商的决策行为进而开展市场均衡分析对各市场机制的完善具有重要意义。碳市场要求发电商在履约期结束时... 作为碳市场和电力现货市场的共同参与者,发电商的决策行为将同时影响两市场的出清结果,碳-电市场耦合日益紧密。在此背景下,模拟发电商的决策行为进而开展市场均衡分析对各市场机制的完善具有重要意义。碳市场要求发电商在履约期结束时需缴纳碳排放总量对应的碳配额,在履约期内发电商可灵活选择任意时段的碳、电交易策略,前后时段决策相互影响。为此,重点研究考虑发电商多时间耦合决策的碳-电市场均衡分析问题。在多时间尺度下碳-电耦合关系的基础上,提出了考虑发电商多时间耦合决策的碳-电均衡分析框架。基于此,建立了考虑多时间耦合的发电商碳-电协同决策模型,量化了碳配额与发电量间的关系。通过分析不同发电商多时间耦合的决策行为,建立了碳-电市场的均衡分析模型。算例结果表明,考虑多时间耦合特性可进一步促进电力行业减少碳排放,提升社会福利。 展开更多
关键词 碳市场 电力现货市场 碳-电协同 市场均衡 博弈论 多时间耦合 发电商
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关于电动汽车动力电池能量转移均衡控制设计 被引量:8
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作者 安治国 金昌理 癿建建 《计算机仿真》 北大核心 2017年第5期147-150,252,共5页
由于动力电池受材料、生产工艺、环境温度等因素影响,电池组在使用过程中会发生电压不一致的现象,并且会逐渐的加大,会引起部分电池过充和过放,从而导致电池组无法进行正常的工作。结合经典的Buck-Boost变换器原理对成组动力电池提出了... 由于动力电池受材料、生产工艺、环境温度等因素影响,电池组在使用过程中会发生电压不一致的现象,并且会逐渐的加大,会引起部分电池过充和过放,从而导致电池组无法进行正常的工作。结合经典的Buck-Boost变换器原理对成组动力电池提出了一种新型双层能量转移的均衡控制策略,对均衡过程进行分析,并说明了MCU输出的PWM脉冲对MOSFET受控场效应管进行控制的过程。在MATLAB环境下采用SIMULINK/SimPowerSystem工具箱搭建均衡控制仿真系统,分别对成组的2节动力电池和6节动力电池进行仿真,以电压差值的大小作为动力电池均衡判断标准,验证了采用Buck-Boost双层能量转移的均衡控制策略的有效性。 展开更多
关键词 均衡控制 动力电池 升降压型变换器 系统仿真 能量转移
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火电与绿电竞合策略对市场均衡及议价能力的影响研究——基于可再生能源消纳责任权重下发电商市场行为博弈分析 被引量:7
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作者 徐江 高源 +5 位作者 刘康平 王萌 马宝明 李铎 温亚东 刘敦楠 《价格理论与实践》 北大核心 2020年第12期139-143,共5页
可再生能源消纳责任权重制度的出台,意味着用户需要增加对绿电的消纳,这一转变对发电商的竞争策略产生了重大影响。本文给出了政策变动下,火电商和绿电商可能采取的策略行为,并采用Stackelberg博弈模型和合作博弈模型分析不同政策参数... 可再生能源消纳责任权重制度的出台,意味着用户需要增加对绿电的消纳,这一转变对发电商的竞争策略产生了重大影响。本文给出了政策变动下,火电商和绿电商可能采取的策略行为,并采用Stackelberg博弈模型和合作博弈模型分析不同政策参数对发电商策略行为及市场均衡点的影响。分析结果表明:合作博弈下发电商收益大于竞争下发电商收益,发电商间会自发寻求合作,且合作增加的利润有助于火电商摆脱亏损困境,也能够帮助新能源发电企业在"去补贴"趋势下站稳脚跟。而发电厂商间的合作会抬高上网电价,降低市场出清电量,政府应出台相关政策对发电厂商间的合作进行适度限制。 展开更多
关键词 可再生能源 消纳 绿证 发电厂商 市场均衡 议价能力
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认知小蜂窝网络中基于能效的下行资源分配算法 被引量:7
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作者 贾亚男 岳殿武 《通信学报》 EI CSCD 北大核心 2016年第4期116-127,共12页
在认知小蜂窝网络框架下,对基于OFDMA技术的下行联合频谱资源块和功率分配问题进行了研究。小蜂窝基站在分布式结构下采用开放式接入方式共享空闲频谱资源以最大化其能量效率,基站间的竞争关系使系统资源的动态分配过程可建模为非合作... 在认知小蜂窝网络框架下,对基于OFDMA技术的下行联合频谱资源块和功率分配问题进行了研究。小蜂窝基站在分布式结构下采用开放式接入方式共享空闲频谱资源以最大化其能量效率,基站间的竞争关系使系统资源的动态分配过程可建模为非合作博弈模型。由于最大化具有多个限制条件的分数形势的能量效用函数属于非凸最优问题,可通过将其转化为等价的减数形势,并从串行和并行迭代的角度进行求解。在给定资源块分配策略后,原有博弈模型可被重新建模为便于独立求解发射功率的等价子博弈模型。仿真结果表明,所提算法在干扰受限的通信环境下能收敛到纳什均衡,并有效提高了系统资源利用率和能量效率。 展开更多
关键词 认知小蜂窝网络 能量效率 博弈论 纳什均衡 频谱分配 功率分配
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两用户非正交多址接入的最优时延均衡和功率控制方法 被引量:7
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作者 黄盛 《电子与信息学报》 EI CSCD 北大核心 2019年第8期1902-1908,共7页
该文针对采用非正交多址接入(NOMA)技术的两用户单小区网络,考虑信道衰落的随机性和业务到达的动态性,以均衡用户排队时延并最大化网络总吞吐量为目标,构建了资源管理的随机优化问题。基于李雅普诺夫优化方法,推导了随机优化问题的最优... 该文针对采用非正交多址接入(NOMA)技术的两用户单小区网络,考虑信道衰落的随机性和业务到达的动态性,以均衡用户排队时延并最大化网络总吞吐量为目标,构建了资源管理的随机优化问题。基于李雅普诺夫优化方法,推导了随机优化问题的最优解的闭式表达式,并提出一种低复杂度的联合时延均衡和功率控制的最优资源管理方法。对比了采用NOMA时的次优资源管理方法与采用时分多址接入方法时的最优资源管理方法,仿真结果表明所提方法能够显著提升网络性能。 展开更多
关键词 非正交多址接入 时延均衡 功率控制
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胡椒碱平衡溶解度和表观油水分配系数的测定 被引量:7
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作者 吴珍菊 夏学进 黄雪松 《暨南大学学报(自然科学与医学版)》 CAS CSCD 北大核心 2012年第5期473-476,共4页
测定胡椒碱的平衡溶解度及表观油水分配系数,研究pH值对其影响,为胡椒碱在体内吸收研究提供参考.采用HPLC法测定了胡椒碱在水和5种有机溶剂中的平衡溶解质量浓度,并用摇瓶法测定胡椒碱在不同pH条件下的正辛醇-水缓冲溶液中的表观油水分... 测定胡椒碱的平衡溶解度及表观油水分配系数,研究pH值对其影响,为胡椒碱在体内吸收研究提供参考.采用HPLC法测定了胡椒碱在水和5种有机溶剂中的平衡溶解质量浓度,并用摇瓶法测定胡椒碱在不同pH条件下的正辛醇-水缓冲溶液中的表观油水分配系数.结果表明:25℃下胡椒碱在水中的平衡溶解质量浓度为22.34 mg/L,而在有机溶剂中的溶解质量浓度较好,特别是在二氯甲烷中,其平衡溶解质量浓度高达43 665.5 mg/L,正辛醇∶水的表观油水分配系数P为179.33(lgP=2.25). 展开更多
关键词 胡椒碱 平衡溶解度 表观油水分配系数 PH值
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Energy efficient resource allocation in non-cooperative multi-cell OFDMA systems 被引量:5
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作者 Guopeng Zhang Peng Liu Enjie Ding 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第1期175-182,共8页
A non-cooperative game is proposed to perform the sub-carrier assignment and power allocation for the multi-cell orthogonal frequency division multiple access(OFDMA) system.The objective is to raise the spectral eff... A non-cooperative game is proposed to perform the sub-carrier assignment and power allocation for the multi-cell orthogonal frequency division multiple access(OFDMA) system.The objective is to raise the spectral efficiency of the system and prolong the life time of user nodes.This paper defines a game player as a cell formed by the unique base station and the served users.The utility function considered here measures the user's achieved utility per power.Each individual cell's goal is to maximize the total utility of its users.To search the Nash equilibrium(NE) of the game,an iterative and distributed algorithm is presented.Since the NE is inefficient,the pricing of user's transmission power is introduced to improve the NE in the Pareto sense.Simulation results show the proposed game outperforms the water-filling algorithm in terms of fairness and energy efficiency.Moreover,through employing a liner pricing function,the energy efficiency could be further improved. 展开更多
关键词 orthogonal frequency division multiple access(OFDMA) power control spectrum allocation game theory Nash equilibrium(NE).
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Controlling chaos in power system based on finite-time stability theory 被引量:5
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作者 赵辉 马亚军 +2 位作者 刘思佳 高士根 钟丹 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第12期101-108,共8页
Recent investigations show that a power system is a highly nonlinear system and can exhibit chaotic behaviour leading to a voltage collapse, which severely threatens the secure and stable operation of the power system... Recent investigations show that a power system is a highly nonlinear system and can exhibit chaotic behaviour leading to a voltage collapse, which severely threatens the secure and stable operation of the power system. Based on the finite-time stability theory, two control strategies are presented to achieve finite-time chaos control. In addition, the problem of how to stabilize an unstable nonzero equilibrium point in a finite time is solved by coordinate transformation for the first time. Numerical simulations are presented to demonstrate the effectiveness and the robustness of the proposed scheme. The research in this paper may help to maintain the secure operation of power systems. 展开更多
关键词 power system chaos control finite-time stability stabilize unstable nonzero equilibrium point robust controller
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区域电网竞价策略研究 被引量:6
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作者 林女贵 蔡冰凌 刘建 《电力需求侧管理》 2019年第2期15-18,23,共5页
根据区域电网的特点,研究售电公司、电网公司和用电客户之间的电量交易。考虑到交易过程中的供需差异等因素,建立了基于输电费用优化的非合作博弈售电策略模型。以区域电网为例,分析各利益主体在非合作博弈模型下的纳什均衡售电策略。... 根据区域电网的特点,研究售电公司、电网公司和用电客户之间的电量交易。考虑到交易过程中的供需差异等因素,建立了基于输电费用优化的非合作博弈售电策略模型。以区域电网为例,分析各利益主体在非合作博弈模型下的纳什均衡售电策略。算例分析结果表明,非合作博弈售电策略模型不仅可为售电公司提供竞价参考、平衡可再生能源和传统火电之间的利益,同时也可降低区域电能供需不平衡概率,保障电力市场安全运行。 展开更多
关键词 电力市场 区域电网 售电公司 非合作博弈 纳什均衡 售电策略
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合作博弈下无线传感器网络功率控制策略 被引量:5
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作者 滕志军 许媛媛 +2 位作者 庞宝贺 杜春秋 李哲 《哈尔滨工业大学学报》 EI CAS CSCD 北大核心 2019年第11期82-88,共7页
无线传感器网络在动态变化的信道和干扰环境工作时,为获得较高的信干噪比,节点会提高发射功率,致使节点间的干扰不断增大,为抵消其带来的消极影响,节点将继续增加发射功率,这将导致网络环境逐渐恶化,同时过多浪费节点能量.针对以上问题... 无线传感器网络在动态变化的信道和干扰环境工作时,为获得较高的信干噪比,节点会提高发射功率,致使节点间的干扰不断增大,为抵消其带来的消极影响,节点将继续增加发射功率,这将导致网络环境逐渐恶化,同时过多浪费节点能量.针对以上问题,本文提出一种合作博弈下无线传感器网络功率控制策略,为使节点能够更加精准的根据周围环境信息动态调节发射功率,算法引入节点间距离作为干扰权重因子以修正有效干扰模型,进而改进信干噪比模型;基于合作博弈理论将节点信息传输速率和自身剩余能量整合,建立合作博弈下的效用函数,在对不同效用权重因子下的归一化信息传输速率、发射功率方差值、信干噪比和网络效用4种结果进行综合权衡后,得出适当的效用权重因子值,并证明效用函数存在纳什均衡解,通过算法多次迭代后得出使网络效用达到最高时的节点最优发射功率.仿真结果表明,本文算法得出的最优发射功率方差小,算法收敛速度快,网络在节点较低发射功率时即可获得较高的信干噪比,网络生存周期得以延长,实现更高的网络效用. 展开更多
关键词 无线传感器网络 博弈论 效用函数 纳什均衡 发射功率
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Comparing Competition Equilibrium with Nash Equilibrium in Electric Power Market 被引量:4
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作者 Haibing Wang Jian Deng +2 位作者 Chengmin Wang Weiqing Sun Ning Xie 《CSEE Journal of Power and Energy Systems》 SCIE 2018年第3期299-304,共6页
The Nash equilibrium and competition equilibrium have been widely studied in the electric power market up to now.In this paper,it is explained that the Nash equilibrium can be achieved by using marginal cost pricing a... The Nash equilibrium and competition equilibrium have been widely studied in the electric power market up to now.In this paper,it is explained that the Nash equilibrium can be achieved by using marginal cost pricing and the com-petition equilibrium can be performed by using accounting cost pricing based on the model of the power market system.The comparison between the Nash equilibrium and competition equilibrium indicates that surplus and unfair allocation of market benefits may be obtained by the Nash equilibrium,and the competition equilibrium realizes the optimization in economics with maximum market efficiency and fairness for market benefit allocations while the optimization in mathematics is achieved by the Nash equilibrium.There is sameness between the Nash equilibrium and competition equilibrium at the point when the power network characteristics are disregarded.The case study is made on a IEEE 30-bus system,and the calculation results indicate that it is the key issue to perform the competition equilibrium by using accounting cost pricing. 展开更多
关键词 Accounting cost pricing competition equilibrium marginal cost pricing market failure market surplus Nash equilibrium power market
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Study about the Asymmetry Competing Channel Structure under Bargaining Power 被引量:3
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作者 周岚 艾兴政 《Journal of Electronic Science and Technology of China》 2005年第1期87-90,共4页
On the problem of competing channel structure, we present asymmetry competing channel structure models under bargaining power, analyze the evolving process of channel structure under different bargaining power and pro... On the problem of competing channel structure, we present asymmetry competing channel structure models under bargaining power, analyze the evolving process of channel structure under different bargaining power and product nature, find different bargaining power and product nature important role for channel structure, and also present equilibrium result. Furthermore, the academic proof for channel structure choice is presented. 展开更多
关键词 channel structure bargaining power equilibrium
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Design of a high frequency accuracy heterodyne laser source working in a wide temperature range
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作者 杨宏兴 王彦 +3 位作者 殷子淇 胡鹏程 杨睿韬 李婧 《Chinese Optics Letters》 SCIE EI CAS CSCD 2024年第4期83-88,共6页
To ensure the frequency accuracy of a heterodyne laser source in the ambient temperature range of-20℃ to 40℃, a duallongitudinal-mode thermally stabilized He–Ne laser based on non-equilibrium power locking was desi... To ensure the frequency accuracy of a heterodyne laser source in the ambient temperature range of-20℃ to 40℃, a duallongitudinal-mode thermally stabilized He–Ne laser based on non-equilibrium power locking was designed. The ambient adaptive preheating temperature setting scheme ensured the laser could operate normally in the range of-20℃ to40℃. The non-equilibrium power-locked frequency stabilization scheme compensated for the frequency drift caused by different stabilization temperatures. The experimental results indicated that the frequency accuracy of the laser designed in this study could reach 5.2 × 10^(-9)in the range of-20℃ to 40℃. 展开更多
关键词 He–Ne laser frequency accuracy ambient adaptability non-equilibrium power locking
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Power Control Algorithm of Cognitive Radio Based on Non-Cooperative Game Theory 被引量:4
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作者 赵军辉 杨涛 +2 位作者 贡毅 王娇 付雷 《China Communications》 SCIE CSCD 2013年第11期143-154,共12页
This paper addresses the power con- trol problems of Cognitive Radio (CR) trader transmission power and interference tempera- ture constraints. First, we propose the interfer- ence constraint which ensures that the ... This paper addresses the power con- trol problems of Cognitive Radio (CR) trader transmission power and interference tempera- ture constraints. First, we propose the interfer- ence constraint which ensures that the Quality of Service (QoS) standards for primary users is considered and a non-cooperative game power control model. Based on the proposed model, we developed a logical utility function based on the Signal-to-Interference-Noise Ratio (S/NR) and a novel algorithm network power control. that is suitable for CR Then, the existence and uniqueness of the Nash Equilibrium (NE) in our utility function are proved by the principle of game theory and the corresponding optimi- zations. Compared to traditional algorithms, the proposed one could converge to an NE in 3-5 iterative operations by setting an appropriate pricing factor. Finally, simulation results ver- ified the stability and superiority of the novel algorithm in flat-fading channel environments. 展开更多
关键词 cognitive radio non-cooperativepower control game theory utility function Na-sh equilibrium target power
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