摘要翻译：
众所周知，需求响应可以提高系统效率，降低用户（生产者）的电费。然而，当在需求响应的系统中引入额外的资源能力/灵活性（如允许净销售行为）时，我们如何定性地识别最具影响潜力的生产者或定量地估计每个生产者对总社会福利改善的贡献尚不清楚。本文在现有文献的基础上，设计了一种通用的灵敏度分析方法(GSAA)，该方法可以估计当资源容量较大时，每个用户对社会福利的潜在贡献。GSAA是建立在有效竞争均衡存在的基础上的，我们在本文中建立了有效竞争均衡。当Prosumers的效用函数为二次型时，GSAA可以基于对偶分析给出社会福利改善的闭式刻画。此外，我们将GSAA推广到一个一般的凸设置，即具有强凸性和Lipschitz连续梯度的效用函数。即使不知道效用函数的具体形式，我们也可以推导出当引入额外资源时，每个生产者的社会福利改善潜力的上下界。针对这两种情况，给出了几个应用和数值例子：包括扩大交流舒适区、电动汽车的放电能力和净销售能力。估计结果表明，GSAA可以用来决定如何以最具影响力的方式分配潜在有限的市场资源。
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英文标题：
《A General Sensitivity Analysis Approach for Demand Response
  Optimizations》
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作者：
Ding Xiang, Ermin Wei
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最新提交年份：
2018
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分类信息：

一级分类：Computer Science        计算机科学
二级分类：Computational Engineering, Finance, and Science        计算工程、金融和科学
分类描述：Covers applications of computer science to the mathematical modeling of complex systems in the fields of science, engineering, and finance. Papers here are interdisciplinary and applications-oriented, focusing on techniques and tools that enable challenging computational simulations to be performed, for which the use of supercomputers or distributed computing platforms is often required. Includes material in ACM Subject Classes J.2, J.3, and J.4 (economics).
涵盖了计算机科学在科学、工程和金融领域复杂系统的数学建模中的应用。这里的论文是跨学科和面向应用的，集中在技术和工具，使挑战性的计算模拟能够执行，其中往往需要使用超级计算机或分布式计算平台。包括ACM学科课程J.2、J.3和J.4（经济学）中的材料。
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一级分类：Economics        经济学
二级分类：General Economics        一般经济学
分类描述：General methodological, applied, and empirical contributions to economics.
对经济学的一般方法、应用和经验贡献。
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一级分类：Mathematics        数学
二级分类：Optimization and Control        优化与控制
分类描述：Operations research, linear programming, control theory, systems theory, optimal control, game theory
运筹学，线性规划，控制论，系统论，最优控制，博弈论
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一级分类：Quantitative Finance        数量金融学
二级分类：Economics        经济学
分类描述：q-fin.EC is an alias for econ.GN. Economics, including micro and macro economics, international economics, theory of the firm, labor economics, and other economic topics outside finance
q-fin.ec是econ.gn的别名。经济学，包括微观和宏观经济学、国际经济学、企业理论、劳动经济学和其他金融以外的经济专题
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英文摘要：
  It is well-known that demand response can improve the system efficiency as well as lower consumers' (prosumers') electricity bills. However, it is not clear how we can either qualitatively identify the prosumer with the most impact potential or quantitatively estimate each prosumer's contribution to the total social welfare improvement when additional resource capacity/flexibility is introduced to the system with demand response, such as allowing net-selling behavior. In this work, we build upon existing literature on the electricity market, which consists of price-taking prosumers each with various appliances, an electric utility company and a social welfare optimizing distribution system operator, to design a general sensitivity analysis approach (GSAA) that can estimate the potential of each consumer's contribution to the social welfare when given more resource capacity. GSAA is based on existence of an efficient competitive equilibrium, which we establish in the paper. When prosumers' utility functions are quadratic, GSAA can give closed forms characterization on social welfare improvement based on duality analysis. Furthermore, we extend GSAA to a general convex settings, i.e., utility functions with strong convexity and Lipschitz continuous gradient. Even without knowing the specific forms the utility functions, we can derive upper and lower bounds of the social welfare improvement potential of each prosumer, when extra resource is introduced. For both settings, several applications and numerical examples are provided: including extending AC comfort zone, ability of EV to discharge and net selling. The estimation results show that GSAA can be used to decide how to allocate potentially limited market resources in the most impactful way.
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PDF链接：
https://arxiv.org/pdf/1810.02815