• Corpus ID: 238857144

Two-Stage Homotopy Method to Incorporate Discrete Control Variables into AC-OPF

@article{McNamara2021TwoStageHM,
  title={Two-Stage Homotopy Method to Incorporate Discrete Control Variables into AC-OPF},
  author={Timothy McNamara and Amritanshu Pandey and Aayushya Agarwal and Lawrence T. Pileggi},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.07522}
}
Alternating-Current Optimal Power Flow (AC-OPF) is an optimization problem critical for planning and operating the power grid. The problem is traditionally formulated using only continuous variables. Typically, control devices with discretevalued settings, which provide valuable flexibility to the network and improve resilience, are omitted from AC-OPF formulations due to the difficulty of integrality constraints. We propose a twostage homotopy algorithm to solve the AC-OPF problem with… 

Figures and Tables from this paper

References

SHOWING 1-10 OF 39 REFERENCES
Incremental Model Building Homotopy Approach for Solving Exact AC-Constrained Optimal Power Flow
TLDR
A homotopy-based approach is introduced that solves a sequence of primal-dual interior point problems inAlternating-Current Optimal Power Flow to provide robust local convergence for large complex systems.
Large-Scale Optimal Power Flow: Effects of Initialization, Decoupling & Discretization
This paper presents the results of extensive numerical testing of a second-order OPF solution method. The testing was conducted using a 1500 bus network under various loading conditions. Three issues
An Extended Nonlinear Primal-Dual Interior-Point Algorithm for Reactive-Power Optimization of Large-Scale Power Systems with Discrete Control Variables
This paper presents a new algorithm for reactive-power optimization of large-scale power systems involving both discrete and continuous variables. This algorithm realizes successive discretization of
A Robust Approach to Optimal Power Flow With Discrete Variables
Optimal power flow (OPF) belongs to the nonlinear optimization problem with discrete variables. The interior point cutting plane method (IPCPM), which possesses the advantages of both the interior
Sensitivity-Based Approaches for Handling Discrete Variables in Optimal Power Flow Computations
This paper proposes and compares three iterative approaches for handling discrete variables in optimal power flow (OPF) computations. The first two approaches rely on the sensitivities of the
Homotopy Method for Finding the Global Solution of Post-contingency Optimal Power Flow
TLDR
This work applies a homotopy method to the post-contingency OPF problem of a stressed network, e.g. a network with a line outage, and finds theoretical guarantees to ensure that the OPF problems for the contingency scenario will also converge to its global minimum.
Improving the robustness of Newton-based power flow methods to cope with poor initial points
Solving power flow problems is essential for the reliable and efficient operation of a power network. However, current software for solving these problems have questionable robustness due to the
History of Optimal Power Flow and Formulations
The purpose of this paper is to present a literature review of the AC Optimal Power Flow (ACOPF) problem and propose areas where the ACOPF could be improved. The ACOPF is at the heart of Independent
Optimal power flow with limited and discrete controls
TLDR
This paper addresses deficiencies in optimal power flow software by exploring the use of a sparsity-inducing penalty to obtain a more manageable number of control adjustments, and theUse of a distributed line-search for exploring the space of discrete variables.
Robust Power Flow and Three-Phase Power Flow Analyses
TLDR
The proposed circuit models and formalism enables the extension and application of circuit simulation techniques to solve for the steady-state solution with excellent robustness of convergence.
...
1
2
3
4
...