Today, with the development of price-responsive demand programs in the electricity industry and consumers’ desire for it, two-sided market is more prepared than before. In a two-sided market, factors such as responsive demand or congestion in transmission lines change market variables (unit generation, price per bus). Recognizing these changes helps the independent market operator to have proper market control. The primary purpose of this study is to investigate and quantify the effect of presence and increase of the penetration of responsive demand in the network on critical components of the market, including locational marginal prices (LMPs), power generation of units, power consumption of responsive demand, power flow of lines and congestion. To achieve this goal, after identifying and classifying the problem parameters in the form of quadratic programming (QP) problem, structural decomposition is implemented by using the Lagrange function and the Kuhn–Tucker (KKT) conditions to decompose all variables of the electricity market, such as responsive demand sensitivity, electricity price, and positive duality of generation units, into key parameters to calculate the share of individual key market parameters in the two-side electricity market. Finally, the sensitivity of market variables to price-responsive demand parameters has been investigated. The proposed approach is evaluated on the IEEE 24-bus system, and the results are discussed.
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