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Date of Award
Campus Access Master's Thesis
Master of Science in Electrical Engineering (MS)
Administrative Home Department
Department of Electrical and Computer Engineering
Committee Member 1
Daniel R. Fuhrmann
Committee Member 2
Mads R. Almassalkhi
This work proposes a Mixed Integer Second Order Cone Programming (MISOCP) model for Distribution Optimal Power Flow (DOPF) by incorporating conic model of voltage control through a Load Tap Changer (LTC) as discrete control. A novel algorithm, Sequential Bound Tightening Algorithm (SBTA), is also developed to solve the proposed model. The algorithm improves accuracy and the formulation along with the algorithm permits computational tractability on practical-sized systems. The proposed model and the algorithm are tested and benchmarked against the results from a standard Mixed Integer Nonlinear Programming (MINLP) model. The results show that the model is sufficiently accurate and scales well on larger systems.
Additionally, a Mixed Integer Conic Reformulation of the UC problem is also proposed whose computational efficiency is further enhanced by incorporating convex hull of difficult inter-temporal constraints. The results show that the proposed model outperforms MINLP by a large factor and it even outperforms commonly used MILP model on larger systems.
Shukla, Sharabh Ramshiromani, "MIXED INTEGER CONIC PROGRAMMING FORMULATION OF DISTRIBUTION OPTIMAL POWER FLOW AND UNIT COMMITMENT PROBLEMS", Campus Access Master's Thesis, Michigan Technological University, 2018.