Tractable Transmission Topology Control Using Sensitivity Analysis

Ruiz, Pablo A.; Foster, Justin M.; Rudkevich, Aleksandr; Caramanis, Michael C.

doi:10.1109/tpwrs.2012.2184777

Cited by 99 publications

(48 citation statements)

References 29 publications

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“…Note that the dispatch cost obtained from a transportation model would be the lowest cost that can be achieved, assuming full power flow control, without building new lines. Some research has adopted economic dispatch cost (ignoring the transmission network altogether) as a basis for calculating the savings [48]. However, the cost associated to the capacity limits cannot be lifted with transmission switching or FACTS adjustments.…”

Section: A Ieee 118-bus Systemmentioning

confidence: 99%

A Fast LP Approach for Enhanced Utilization of Variable Impedance Based FACTS Devices

Sahraei-Ardakani

Hedman

2016

IEEE Trans. Power Syst.

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Abstract-Transmission systems are under stress and need to be upgraded. Better utilization of the existing grid provides a fast and cheap alternative to building new transmission. One way to improve the utilization of the transmission network is power flow control via flexible AC transmission system (FACTS) devices. While FACTS devices are used today, the utilization of these devices is limited; traditional dispatch models (e.g., security constrained economic dispatch) assume a fixed, static transmission grid even though it is rather flexible. The primary barrier is the complexity that is added to the power flow problem. The mathematical representation of the DC optimal power flow, with the added modeling of FACTS devices, is a nonlinear program (NLP). This paper presents a method to convert this NLP into a mixed-integer linear program (MILP). The MILP is reformulated as a two-stage linear program, which enforces the same sign for the voltage angle differences for the lines equipped with FACTS. While this approximation does not guarantee optimality, more than 98% of the presented empirical results, based on the IEEE 118 bus and Polish system, achieved global optimality. In the case of suboptimal solutions, the savings were still significant and the solution time was dramatically reduced.

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Section: A Ieee 118-bus Systemmentioning

confidence: 99%

A Fast LP Approach for Enhanced Utilization of Variable Impedance Based FACTS Devices

Sahraei-Ardakani

Hedman

2016

IEEE Trans. Power Syst.

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“…The impact of OTS on nodal prices, load payment, generation revenues, cost, and rents was studied in [3]. Because the basic MIP formulation is computationally intensive, various authors have developed heuristic techniques to find quickly lines that are good candidates for switching [13]- [15]. These techniques have made it possible to apply OTS to models of actual power systems, such as the PJM system [16] (13 000 buses and 20 000 branches).…”

Section: B Literature Reviewmentioning

confidence: 99%

Probabilistic Security Analysis of Optimal Transmission Switching

Henneaux

Kirschen

2016

IEEE Trans. Power Syst.

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Optimal transmission switching (OTS) optimizes simultaneously the generation dispatch and the topology of a power system. It has been shown that taking some transmission lines out of service can significantly reduce the operating cost of the system while respecting the traditional deterministic security criterion of operational reliability. However, topology modifications could adversely affect probabilistic security metrics. The operational reliability of a power system can be translated into a cost by multiplying the expected energy not served by the value of lost load. This paper therefore explores whether it is possible to maintain a positive economic balance with OTS when considering not only the cost of generation but also the expected socio-economic cost of disruptions in the supply. This is done in two steps: the computation of an secure OTS and then the calculation of a probabilistic estimate of the operational reliability of the OTS solution. Based on the results obtained with two test systems, it is shown that OTS tends to significantly degrade probabilistic measures of security. It is thus not obvious that OTS can lead to a positive economic balance, even when security is enforced. Consequently, a probabilistic security analysis should be performed before implementing an OTS solution.Index Terms-Operational reliability, power system economics, power system security, transmission switching, value of lost load.

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“…Congestion cost savings for the DC and AC models are calculated relative to the DC and AC models with no TC respectively. Table I below summarizes the results from 7 See [14] for details on this approach. 8 In the lossless formulation the bias term is calculated as g 0 = f 0 − Ψ(p 0 − l 0 ).…”

Section: Tc Mip Formulation With Lossesmentioning

confidence: 99%

Security-Constrained MIP Formulation of Topology Control Using Loss-Adjusted Shift Factors

Goldis

Caramanis

Philbrick³

et al. 2014

2014 47th Hawaii International Conference on System Sciences

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Following up on our previous work, we formulate a linear, loss-adjusted, shift factor mixed integer program (MIP) to co-optimize generation and network topology. While both the Bθ and shift factor topology control (TC) formulations lead to production cost saving, we showed that the shift factor formulation performs better for small to medium switchable sets. In this paper we extend the original TC shift factor formulation to include marginal losses. We derive loss-adjusted shift factors and show that both losses and flows can be updated linearly with a change in topology by taking advantage of flow-canceling transactions (FCTs). The marginal loss formulation we present in this paper closely resembles that of most market engines. In doing so, we aim to better approximate the AC power flow and to generate topologies leading to production cost savings while maintaining feasibility subject to AC security constrained power flow (SCOPF) constraints.

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Tractable Transmission Topology Control Using Sensitivity Analysis

Cited by 99 publications

References 29 publications

A Fast LP Approach for Enhanced Utilization of Variable Impedance Based FACTS Devices

A Fast LP Approach for Enhanced Utilization of Variable Impedance Based FACTS Devices

Probabilistic Security Analysis of Optimal Transmission Switching

Security-Constrained MIP Formulation of Topology Control Using Loss-Adjusted Shift Factors

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