标题： 具有混合整数二阶锥规划的多时段柔性交流输电系统设备调度 显示英文标题

标题： Mixed-integer Second-Order Cone Programming for Multi-period Scheduling of Flexible AC Transmission System Devices

摘要： 随着能源需求的增加和可再生能源的日益融合，电力系统面临诸如过载、损耗和稳定性等问题的操作挑战，尤其是在网络接近其容量限制运行时更为明显。柔性交流输电系统（FACTS）设备对于确保可靠的电网运行和实现可再生能源的有效整合至关重要。本研究引入了一种混合整数二阶锥规划（MISOCP）模型，用于电力传输系统中关键FACTS设备的多时段调度。该模型集成了四个关键控制机制：(i) 有载调压变压器（OLTCs）通过离散分接头进行电压调节；(ii) 静态同步补偿器（STATCOMs）和(iii) 并联电抗器用于无功功率补偿；以及(iv) 晶闸管控制串联电容器（TCSCs）用于可调阻抗和潮流控制。目标是在使用有限数量的控制动作的同时，始终满足定义时间范围内的物理和操作约束。为确保可行性，模型采用功率流的二阶锥松弛。设备特定的约束通过二进制展开和线性化处理：OLTCs和并联电抗器用离散变量建模，STATCOMs通过无功功率边界建模，TCSCs则使用重新表述-线性化技术（RLT）。多时段公式捕捉了决策的顺序性，确保时间步之间的连续性。该模型在IEEE 9节点、30节点和RTS96测试系统上进行了评估，展示了其减少损耗的能力，具有在更大规模电网中应用的潜力。 显示英文摘要

摘要： With the increasing energy demand and the growing integration of renewable sources of energy, power systems face operational challenges such as overloads, losses, and stability concerns, particularly as networks operate near their capacity limits. Flexible alternating current transmission system (FACTS) devices are essential to ensure reliable grid operations and enable the efficient integration of renewable energy. This work introduces a mixed-integer second-order cone programming (MISOCP) model for the multi-period scheduling of key FACTS devices in electric transmission systems. The proposed model integrates four key control mechanisms: (i) on-load tap changers (OLTCs) for voltage regulation via discrete taps; (ii) static synchronous compensators (STATCOMs) and (iii) shunt reactors for reactive power compensation; and (iv) thyristor-controlled series capacitors (TCSCs) for adjustable impedance and flow control. The objective is to minimize active power losses using a limited number of control actions while meeting physical and operational constraints at all times throughout the defined time horizon. To ensure tractability, the model employs a second-order cone relaxation of the power flow. Device-specific constraints are handled via binary expansion and linearization: OLTCs and shunt reactors are modelled with discrete variables, STATCOMs through reactive power bounds, and TCSCs using a reformulation-linearization technique (RLT). A multi-period formulation captures the sequential nature of decision making, ensuring consistency across time steps. The model is evaluated on the IEEE 9-bus, 30-bus, and RTS96 test systems, demonstrating its ability to reduce losses, with potential applicability to larger-scale grids.