A Decomposition Approach for Solving Seasonal Transmission Switching

Abstract

Economic transmission switching has been proposed as a new control paradigm to improve the economics of electric power systems. In practice, the transmission switching operation itself is a disruptive action to the system. Frequently switching lines into or out of service can create undesirable effects on the security and reliability of power systems and may require new investments in the automation and control systems. In this paper, we formulate an economic seasonal transmission switching model where transmission switching occurs once at the beginning of a time period (season) and then the transmission topology remains unchanged during that period. The proposed seasonal transmission switching model is a large-scale mixed integer programming problem. The objective of the optimization model is to minimize the total energy generation cost over the season subject to loads and N-1 reliability requirements. We develop a novel decomposition method that decomposes the seasonal problem into one-hour problems which are then solved efficiently. We demonstrate our model and the decomposition approach on the 14-bus, 39-bus, and 118-bus power systems and show potential cost savings in each case.Index Terms-Decomposition, mixed integer programming, power generation dispatch and economics, seasonal transmission switching (STS).

Integrated generation and transmission maintenance scheduling by considering transmission switching

“…The transmission lines can be classified into switchable and nonswitchable on the one hand and lines assumed and not assumed to be maintained on the other hand, which results in four categories. The relation between the power flows and voltage angles are modeled for these four line categories in (16) to (19). The value of M l is set to (θ max − θ min )/x l according to the previous studies.…”

“…The value of M l is set to (θ max − θ min )/x l according to the previous studies. 3,10,12 Similar with generation units, the summation over time 〈l, t〉, which is defined as max(1, t − MD l + 1), to time t is used to determine the lines which are under maintenance in time interval tin (18) and (19).…”

“…Information gap decision theory is used to deal with wind generation uncertainty in SCUC with TS problem in Nikoobakht . Economic TS for power systems with limited automation and control systems is considered in Jabarnejad et al which leads to a seasonal economic TS problem wherein switching only happens at the beginning of each time interval (season).…”

Generation and transmission equipment maintenance scheduling by transmission switching and phase shifting transformer

“…The transmission lines can be classified into switchable and nonswitchable on the one hand and lines assumed and not assumed to be maintained on the other hand, which result in 4 categories. The relation between the power flows and voltage angles are modeled for these 4 line categories in (17) to (20). The value of M l is set to (θ max − θ min )/x l according to Zhang et al, 3 Hedman, 10 and Hedman et al 13 Similar with generation units, the summation over time 〈l, t〉, which is defined as max(1, t − MD l + 1), to time t is used to determine the lines which are under maintenance in time interval t in (19) and (20).…”

Benefits of transmission switching and energy storage in power systems with high renewable energy penetration

“…set of all (renewable) generation units, indexed by g A (EA) set of all (existing) lines, indexed by a AS ij set of lines between buses i and j T set of hours of a scenario, indexed by t S set of scenarios, indexed by s The benefits of TS are discussed in many studies from perspectives such as reliability [22,23], economic efficiency [24] and expansion planning [25]. The beneficial impacts of TS on real-world examples are also discussed in [26] for the California and New England independent system operators (ISOs), and in [27,28] for the PJM system.…”