Journal of Modern Power Systems and Clean Energy

ISSN 2196-5625 CN 32-1884/TK

Risk-aware Distributed Optimal Power Flow in Coordinated Transmission and Distribution System
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Key Laboratory of Power System Intelligent Dispatch and Control of Ministry of Education, Shandong University, Jinan 250000, China

Fund Project:

This work was supported by the National Key R&D Program of China (No. 2016YFB0900100)

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    Abstract:

    Active distribution grids cause bi-directional power flow between transmission system (TS) and distribution system (DS), which not only affects the optimal cost but also the secure operation of the power system. This paper proposes a hybrid coordination method to solve the risk-aware distributed optimal power flow (RA-DOPF) problem in coordinated TS and DS. For operation risk evaluation, the weather-based contingencies are considered in both TS and DS. A hybrid coordination method is developed that entails analytical target cascading (ATC) and Benders decomposition (BD). Moreover, the risk-aware optimal power flow (RAOPF) in TS and risk-based security-constrained optimal power flow in DS have been performed using the BD method considering basic optimal power flow as a master problem, whereas N-1 and N-2 contingencies are considered as sub-problems. Different case studies are performed using the IEEE 30-bus system with generation reserves as a TS and a 13-bus system as a DS. The results demonstrate the efficacy of the proposed method.

    表 2 Table 2
    表 7 Table 7
    表 6 Table 6
    表 9 Table 9
    表 4 Table 4
    表 5 Table 5
    图1 单分散分级过滤效率实验装置图[13]Fig.1 Experimental device diagram of monodisperse classification filtration efficiency[13]
    图2 容尘实验装置图Fig.2 Experimental setup of loading test
    图3 两种复合滤纸SEM图Fig.3 SEM images of two composite filter papers
    图4 两种复合滤纸孔径分布图Fig.4 Pore size distribution diagram of two composite filter papers
    图5 两种复合滤纸过滤效率曲线Fig.5 Filtration efficiency curves of two composite filter papers
    图7 两种复合滤纸反吹过程阻力变化Fig.7 Resistance change diagram during back blow of two composite filter papers
    图8 反吹10次后两种复合滤纸的SEM图Fig.8 SEM images of composite filter paper after back blowing 10 times of two composite filter papers
    图1 Physical structure of coordinated TS and DS with contingency locations. (a) Line outage contingency case in TS. (b) Line outage contingency in DS causing islanding.Fig.1
    图2 TSO-DSO framework for RAOPF- and RBSCOPF-based coordination.Fig.2
    图3 Risk matrix under normal, adverse and extreme weather-based contingency conditions.Fig.3
    图4 BD framework with master problem and sub-problems for evaluation of RAOPF and RBSCOPF.Fig.4
    图5 Coordination of TSO and DSOs.Fig.5
    图6 Flowchart of coordinated risk-based OPF of TSO and DSO.Fig.6
    图7 System model of IEEE 30-bus system as TS and ten IEEE 13-bus radial DSs (ADNs) on shown buses of TS.Fig.7
    图8 Comparison of reduced system cost and system risk in case 1.Fig.8
    图9 Comparison of reduced system risk and expected system risk in case 1.Fig.9
    图10 Comparison of reduced system cost and system risk in case 2.Fig.10
    图11 Comparison of reduced system risk and expected system risk in case 2.Fig.11
    图12 Comparison of reduced system cost and system risk in case 3.Fig.12
    图13 Comparison of reduced system risk and expected system risk in case 3.Fig.13
    图14 Trade-off relationship between risk and system cost. (a) Case 1 with risk threshold of $1800. (b) Case 2 with risk threshold of $250. (c) Case 3 with risk threshold of $2000.Fig.14
    图15 Dynamic adjustment of generation dispatching of TS generators under different weather conditions.Fig.15
    表 8 Table 8
    表 3 Table 3
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History
  • Received:October 13,2019
  • Online: May 19,2021