Price elasticity model (PEM) is an appealing and modest model for assessing the potential of flexible demand in demand response (DR). It measures the customer’s demand sensitivity through elasticity in relation to price variation. However, application of PEM is partially apprehensible on attributing the adaptability and adjustability along with intertemporal constraints in DR. Thus, this article presents an adaptive economic DR framework with its attributes via a dynamic elasticity approach to model customer’s demand sensitivity. This dynamic elasticity is modeled through the deterministic and stochastic approaches. Both approaches envision the notion of load recovery for shiftable/flexible loads to make the proposed framework adaptive and adjustable relative to price variation. In stochastic approach, a geometric Brownian motion is employed to emulate load recovery in addition to intertemporal constraint of load flexibility. The proposed mathematical model shows what should be the customers elasticity value to achieve the factual DR. The numerical study is carried out on standard IEEE 33 distribution system bus load data to assess its technical and socio-economic impact on customers and is also compared with the existing model.

价格弹性模型 (PEM) 是一种有吸引力且适中的模型，用于评估需求响应 (DR) 中灵活需求的潜力。它通过与价格变化相关的弹性来衡量客户的需求敏感性。然而，PEM 的应用在归因于 DR 中的适应性和可调整性以及跨期约束方面是部分可以理解的。因此，本文通过动态弹性方法提出了一个自适应经济需求响应框架及其属性，以模拟客户的需求敏感性。这种动态弹性是通过确定性和随机方法建模的。这两种方法都设想了可移动/灵活负载的负载恢复概念，以使所提出的框架相对于价格变化具有适应性和可调节性。在随机方法中，除了负载灵活性的跨期约束外，还采用几何布朗运动来模拟负载恢复。提出的数学模型显示了实现实际 DR 的客户弹性值应该是多少。数值研究是对标准 IEEE 33 配电系统总线负载数据进行的，以评估其对客户的技术和社会经济影响，并与现有模型进行比较。