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This paper studies a crucial problem in power system balancing control, i.e.,the multi-time slot economic dispatch (MTSED) problem, for power grids withsubstantial renewables, synchronous generators (SGs), and energy storagedevices (ESDs). The target of MTSED is to optimally coordinate active/reactivepower outputs of all controllable units to meet a forecast net demand profileover multiple time slots within a receding finite time horizon. Firstly, theMTSED is formulated as an optimization problem with operational constraints,including the limits on the output of each controllable unit, ramping rates ofSGss, energy levels of ESDs, and bus voltages. Then, a novel projection-basedalgorithm is developed to solve the problem in a distributed way. Inparticular, the distributed algorithm is not limited to solving the MTSEDproblem but also applies to more general optimization problems with bothgeneric convex objective functions and hard feasibility constraints. Finally,case studies verify the effectiveness of the proposed method.

Distributed Multi-Time Slot Power Balancing Control of Power Systems with Energy Storage Devices