Autonomous microgrids for rural electrification : joint investment planning of power generation and distribution through convex optimization
(2018)
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- Autonomous microgrid planning requires to consider both investments in network and generation assets as there is no connection to another power system. In this problem, the goal is to find the least cost investment solution able to supply power to a group of loads. The cost of the system includes investment and operational costs, and the operational feasibility of an investment solution has to be ensured. Hence, AC power flow feasibility is integrated in the model for a selected subset of operational conditions. The integrality of investment decisions and the non-convexity of the AC power flow equations make the model MINLP, which is intractable for real-world cases and offers no guarantee that a solution is the global optimum to the problem. The first part of this thesis is devoted to the development of a hierarchy of growing complexity convex relaxations of the problem in which the goal is to identify the trade-off between the accuracy of the model and the computational burden. In a second part, the uncertainties related to power injections, i.e. load consumptions and RES production, are taken into account. A robust formulation of the joint planning problem is developed for this purpose and the results are compared to those obtained beforehand with deterministic formulations.
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Martin, B. (2018). Autonomous microgrids for rural electrification : joint investment planning of power generation and distribution through convex optimization. https://hdl.handle.net/2078.5/52804