Distributed Robust Dynamic Economic Dispatch of Integrated Transmission and Distribution Systems

To coordinate the generation resources located in the integrated transmission and distribution systems considering renewable uncertainty, dynamic economic dispatch (DED) is essential. This article proposes a coordinated robust DED (CRDED) model to enhance the cost-effectiveness and reliability from a system perspective. Then, how to measure the operational risk in the robust model is discussed, if the probability function of the renewable output is obtained, with a risk-based CRDED model established correspondingly. A distributed framework is also presented to solve these two models in a decentralized way, as the transmission and distribution systems solve their regional problems autonomously. The alternating direction method of multipliers (ADMM), which is one of the most efficient dual decomposition methods, is utilized in this framework. Besides, to handle the problem that it is hard to predetermine the value of penalty factors, a varying penalty factor strategy is further applied to enhance the convergence property of ADMM, with the global optimal solution achieved within much fewer iteration numbers. Since the system operators only need to exchange the boundary power, the communication burden is light, and the regional information privacy is enhanced. Case studies on the 448-bus T118D10 system illustrate the effectiveness of the proposed model and approach.