2018/02/19 by Randall Martyr, Benjamin Schaefer, Martyr, Randall +5
Engineering · Mathematics · #Frequency Control in Power Systems #Numerical methods for differential equations #Microgrid Control and Optimization
paper · pdf · doi:10.48550/arxiv.1802.06647
As the energy transition transforms power grids across the globe, it poses\nseveral challenges regarding grid design and control. In particular, high\nlevels of intermittent renewable generation complicate the task of continuously\nbalancing power supply and demand, requiring sufficient control actions.\nAlthough there exist several proposals to control the grid, most of them have\nnot demonstrated to be cost efficient in terms of optimal control theory. Here,\nwe mathematically formulate an optimal centralized (therefore non-local)\ncontrol problem for stable operation of power grids and determine the minimal\namount of active power necessary to guarantee a stable service within the\noperational constraints, minimizing a suitable cost function at the same time.\nThis optimal control can be used to benchmark control proposals and we\ndemonstrate this benchmarking process by investigating the performance of three\ndistributed controllers, two of which are fully decentralized, that have been\nrecently studied in the physics and power systems engineering literature. Our\nresults show that cost efficient controllers distribute the controlled response\namongst all nodes in the power grid. Additionally, superior performance can be\nachieved by incorporating sufficient information about the disturbance causing\nthe instability. Overall, our results can help design and benchmark secure and\ncost-efficient controllers.\n