Decoupled linear AC power flow models with accurate estimation of voltage magnitude in transmission and distribution systems

Author(s):  
Ning Zhang ◽  
Jingwei Yang ◽  
Yi Wang ◽  
Hai Li ◽  
Chongqing Kang
Author(s):  
Fatemeh Najibi ◽  
Dimitra Apostolopoulou ◽  
Eduardo Alonso

The incorporation of renewable energy into power systems poses serious challenges to the transmission and distribution power system operators (TSOs and DSOs). To fully leverage these resources there is a need for a new market design with improved coordination between TSOs and DSOs. In this paper we propose two coordination schemes between TSOs and DSOs: one centralised and another decentralised that facilitate the integration of distributed based generation; minimise operational cost; relieve congestion; and promote a sustainable system. To this end, we approximate the power equations with linearised equations so that the resulting optimal power flows (OPFs) in both the TSO and DSO become convex optimisation problems. In the resulting decentralised scheme, the TSO and DSO collaborate to optimally allocate all resources in the system. In particular, we propose an iterative bi-level optimisation technique where the upper level is the TSO that solves its own OPF and determines the locational marginal prices at substations. We demonstrate numerically that the algorithm converges to a near optimal solution. We study the interaction of TSOs and DSOs and the existence of any conflicting objectives with the centralised scheme. More specifically, we approximate the Pareto front of the multi-objective optimal power flow problem where the entire system, i.e., transmission and distribution systems, is modelled. The proposed ideas are illustrated through a five bus transmission system connected with distribution systems, represented by the IEEE 33 and 69 bus feeders.


2021 ◽  
Vol 196 ◽  
pp. 107215
Author(s):  
Renan K. Portelinha ◽  
Carolina C. Durce ◽  
Odilon L. Tortelli ◽  
Elizete M. Lourenço

2021 ◽  
Author(s):  
Ignacio Losada Carreño ◽  
Shammya Saha ◽  
Anna Scaglione ◽  
Daniel Arnold ◽  
Ngo Sy-Toan ◽  
...  

In this work, we introduce Log(v) 3LPF, a linear power flow solver for unbalanced three-phase distribution systems. Log(v) 3LPF uses a logarithmic transform of the voltage phasor to linearize the AC power flow equations around the balanced case. We incorporate the modeling of ZIP loads, transformers, capacitor banks, switches and their corresponding controls and express the network equations in matrix-vector form. With scalability in mind, special attention is given to the computation of the inverse of the system admittance matrix, Ybus. We use the Sherman-Morrison-Woodbury identity for an efficient computation of the inverse of a rank-k corrected matrix and compare the performance of this method with traditional LU decomposition methods in terms of FLOPS. We showcase the solver for a variety of network sizes, ranging from tens to thousands of nodes, and compare the Log(v) 3LPF with commercial-grade software, such as OpenDSS. <br>


2019 ◽  
Vol 2 (2) ◽  
pp. 155-162 ◽  
Author(s):  
Hajir Pourbabak ◽  
Adetokunbo Ajao ◽  
Tao Chen ◽  
Wencong Su

2015 ◽  
Vol 135 (5) ◽  
pp. 316-321
Author(s):  
Hiroki Kojima ◽  
Koki Fukaya ◽  
Naoki Hayakawa ◽  
Masahiro Hanai ◽  
Hitoshi Okubo

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