The concept of energy hub has been used recently to study multi-carrier energy systems. A model has been proposed in this paper for planning multi-hub energy system considering the competition between the hubs. The energy hubs are interconnected by a power grid. Hubs supply the demands for heat and electricity using various technologies and access to several energy carriers. To this aim, load zones were used to incorporate demand profiles for both heat and electricity in the different seasons of the year. Supplying the demand most cost-effectively is the objective function of each hub. These hubs select the optimum strategy separately in a competitive space. The power grid is owned by Regional Transmission Operator (RTO) which is operated based on DC Power Flow. Moreover, elastic electricity demand is also addressed for the market in each region. The proposed model formulate the problem as a Cournot Oligopoly game using Karush–Kuhn–Tucker (KKT) conditions to consider the objective function of the hubs as well as that of RTO. Once solved, yearly capacity-building is determined as well as the flow of energy carriers for each technology, regional electricity prices and the amounts of electricity transmission between regions for each load zone and each hub. The proposed model has been applied to a test system and applicability of the proposed model was verified. Finally, the results of competitive modeling were compared with those of the centralized modeling.

能源枢纽的概念最近已被用于研究多载波能源系统。本文提出了一种考虑枢纽之间竞争的多枢纽能源系统规划模型。能源枢纽通过电网相互连接。集线器使用各种技术和多种能源载体来满足热电需求。为此，负荷区被用来整合一年中不同季节的热力和电力需求概况。以最具成本效益的方式满足需求是每个枢纽的目标函数。这些集线器在竞争空间中分别选择最佳策略。电网归区域输电运营商 (RTO) 所有，该运营商基于直流潮流运营。此外，还解决了每个地区市场的弹性电力需求。所提出的模型将问题表述为古诺寡头博弈，使用 Karush-Kuhn-Tucker (KKT) 条件来考虑集线器的目标函数以及 RTO 的目标函数。一旦解决，每年的能力建设以及每种技术的能源载体流量、区域电价以及每个负载区和每个枢纽的区域之间的电力传输量将被确定。所提出的模型已应用于测试系统，并验证了所提出模型的适用性。最后，将竞争建模的结果与集中建模的结果进行比较。每年的能力建设以及每种技术的能源载体流量、区域电价以及每个负载区和每个枢纽的区域之间的电力传输量都是确定的。所提出的模型已应用于测试系统，并验证了所提出模型的适用性。最后，将竞争建模的结果与集中建模的结果进行比较。每年的能力建设以及每种技术的能源载体流量、区域电价以及每个负载区和每个枢纽的区域之间的电力传输量都是确定的。所提出的模型已应用于测试系统，并验证了所提出模型的适用性。最后，将竞争建模的结果与集中建模的结果进行比较。