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    Dynamic economic dispatch using complementary quadratic programming

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    Economic dispatch for micro-grids and district energy systems presents a highly constrained non-linear, mixed-integer optimization problem that scales exponentially with the number of systems. Energy storage technologies compound the mixed-integer or unit-commitment problem by necessitating simultaneous optimization over the applicable time horizon of the energy storage. The dispatch problem must be solved repeatedly and reliably to effectively minimize costs in real-world operation. This paper outlines a method that greatly reduces, and under some conditions eliminates, the mixed-integer aspect of the problem using complementary convex quadratic optimizations. The generalized method applies to grid-connected or islanded district energy systems comprised of any variety of electric or combined heat and power generators, electric chillers, heaters, and all varieties of energy storage systems. It incorporates constraints for generator operating bounds, ramping limitations, and energy storage inefficiencies. An open-source platform, EAGERS, implements and investigates this optimization method. Results demonstrate a >99% reduction in computational effort when comparing the newly minted optimization strategy against a benchmark commercial mixed-integer solver applied to the same combined cooling, heating, and power problem

    Thermal and AC Power Systems Dispatch Optimization Incorporating Storage and Unit Commitment

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    Thesis (Ph.D.), Mechanical Engineering, Washington State UniversityReliable and efficient power system dispatch is of paramount importance for the increased incorporation of microgrid infrastructures and renewable and distributed energy resources. Operating costs of microgrids and distributed generation can be reduced when optimizer models include control for unit commitment, meeting thermal demands, energy storage devices, and AC power flow constraints, as opposed to a heuristic dispatch or a dispatch that only considers some of these aspects. Augmentations to conic programming (CP) implementations for power systems dispatch with unit commitment allow for the inclusion of thermal demands, energy storage, and AC power flow constraints. The computational demand for inclusion of all the elements of this problem is shown to be remediated with transfer learning of a neural network (NN) with sigmoid and linear activation functions initially trained from Complementary Quadratic Programming (cQP) real power dispatch solutions then trained from conic AC power solutions. The application of a neural network allows for rapid creation of dispatch solutions which can be used to better evaluate the applicability and cost of dispatch methods with higher computational demand, such as conic programming, across a wide range of scenarios. This dissertation evaluates the computational efficiency, dispatch cost, and reliability of neural networks with varying layers as trained by conic programming and cQP for solving the AC microgrid power flow optimization problem with unit commitment, storage, and combined heat and power. Three test cases are used to benchmark cQP, CP, and NNs: a hypothetical test case, a model of Washington State University’s Pullman campus, and a modified model of WSU’s campus to include higher levels of on-site generation from solar and combined heat and power gas turbines. This work provides the first known example of simultaneous solution of the AC optimal power flow problem in conjunction with the combined cooling heat and power unit commitment optimization with storage. This work also demonstrates the advantage of incorporating a sigmoid function for neural network replication of microgrid dispatches which include unit commitment. Key Terms: dispatch, optimal power flow, energy storage, microgrid, quadratic programming, conic programming, neural network, decision tree, machine learningWashington State University, Mechanical Engineerin
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