Architectures and algorithms for voltage control in power distribution systems
Power Systems;Power Distribution Systems;Voltage Regulation;Optimization;Distributed Optimization;Optimal Power Flow;Convex Relaxation;Distributed Energy Resources
In this thesis, we propose a hierarchical control architecture for voltage in power distribution networks where there is a separation between the slow time-scale, in which the settings of conventional voltage regulation devices are adjusted, and the fast time-scale, in which voltage regulation through active/reactive power injection shaping is accomplished.Slow time-scale devices will generally be existing hardware, e.g., voltage regulation transformers, which will be dispatched at appropriate time intervals to reduce the wear on their mechanical parts.In contrast, fast time-scale devices are considered to be devices that connect to the grid through power electronics, e.g., photovoltaic (PV) installations.In the slow time-scale control, we propose a method to optimally set the tap position of voltage regulation transformers.We formulate a rank-constrained semidefinite program (SDP), which is then relaxed to obtain a convex optimization that is solved distributively with the Alternating-Direction Method of Multipliers (ADMM).In the fast time-scale control, we propose the following schemes: (i) a feedback-based approach to regulate system voltages, and (ii) an optimization-based approach that maintains the desired operating state through a quadratic program developed from a linear distribution system model.Finally, we showcase the operation of the two time-scale control architecture in an unbalanced three-phase distribution system.The test system in the case studies is derived from the IEEE 123-bus test system and has a high penetration of residential PV installations and electric vehicles (EVs).We provide several examples that demonstrate the interaction between the two time-scales and the impact of the proposed control on component behaviors.
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Architectures and algorithms for voltage control in power distribution systems