Transmission Network Expansion Planning With Complex Power Flow Models

Abstract

In recent years, the transmission network expansion planning (TNEP) problem has become increasingly complex. As this problem is a nonlinear and nonconvex optimization problem, researchers have traditionally focused on approximate models of power flows to solve the TNEP problem. Until recently, these approximations have produced results that are straightforward to adapt to the more complex problem. However, the power grid is evolving towards a state where the adaptations are no longer as easy (e.g., large amounts of limited control, renewable generation), necessitating new approaches. In this paper, we propose a discrepancy-bounded local search (DBLS) that encapsulates the complexity of power flow modeling in a black box that may be queried for information about the quality of a proposed expansion. This allows the development of an optimization algorithm that is decoupled from the details of the underlying power model. Case studies are presented to demonstrate cost differences in plans developed under different power flow models.

Chance-Constrained Optimal Power Flow: Risk-Aware Network Control under Uncertainty

“…A chance-constrained version of this formulation can be incorporated seamlessly into our CC-OPF framework. Finally, we see many opportunities in utilizing the CC-OPF (possibly modified) as an ingredient of even more complex problems, such as combined unit commitment (scheduling large power plants normally days, weeks, or even months ahead) [51] with CC-OPF, planning grid expansion [6] while accounting for cost operation under uncertainty, or incorporating CC-OPF in mitigating emergency of possible cascades of outages [17,40,44,43,11,12,22,8]. In this context, it would be advantageous to speed up our already very efficient CC-OPF even further.…”

“…Redistribution subject to SIAM license or copyright; see http://www.siam.org/journals/ojsa.php in particular we assume Gaussianity of ω i . 6 We will also assume that only a standard weather forecast (coarse grained on minutes and kilometers) is available, and all available wind energy resources are transformed into power without spillage.…”

Specialized differential evolution technique to solve the alternating current model based transmission expansion planning problem

“…CHÁ s algorithms do not provide good quality solutions for large and complicated systems; therefore, that approach is not practical for use in industry applications. More recently, reference [7] proposed a black box optimization model that dealt with limited control energy sources. That model generalizes the constructive heuristic optimization algorithms where only non-dispatchable generation is handled.…”

“…It is worth noting that this research work is aimed to demonstrate the feasibility of using the AC network model to solve the TEP problem; therefore, the TEP problem, in this research work, is considered static, and market and uncertainty issues are not taken into account, in the same way as done in Refs. [6][7][8].…”

Adaptive enumeration method for the optimal interconnection planning of isolated power systems

“…The former, for example [3], tend to involve mathematical representations that combine both the expansion problem and the optimal power flow (OPF) problem variables and are usually solved through various types of mixed integer programming methods. On the other hand, heuristics-based methods often process the two problems independently which allows for additional complexity to be added in each problem [4]. Various heuristics for transmission expansion planning have been previously proposed in the literature.…”