Part I: A New Framework for Modeling and Tracing of Bilateral Transactions and the Corresponding Loop Flows in Multi-Control Area Power Networks

Cvijić, Sanja; Ilić, Marija

doi:10.1109/tpwrs.2014.2312376

Cited by 28 publications

(8 citation statements)

References 15 publications

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“…Previous research has shown that FACTS devices are beneficial in loop flow cancellation [33]- [34], help reduce cost and improve reliability [35]- [36], and enhance the benefits of demand response [37]. Although the benefits of FACTS devices are known [38], the industry does not change FACTS devices' set-points frequently.…”

mentioning

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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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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“…That means branch can be treated as an equivalent single node from the perspective of the studied EMLN. According to (6), as the transporting current flows through the EMLN, it never flows into any node in the EMLN, including node . Therefore, the transporting current would not flow into branch .…”

Section: Model For Emln Parallel Flowmentioning

confidence: 99%

“…Denote the maximal element of by and denote the corresponding branch of on the high voltage side network by i-j. Then according to (6), the studied EMLN is the most sensitive to the removement of branch i-j. Therefore, if the studied EMLN keeps operating safely after branch i-j is removed, we can say the studied EMLN does not have the parallel flow problem.…”

Section: Sufficient Condition For the Parallel Flow Problemmentioning

confidence: 99%

“…Then, calculate the current transfer matrix . According to (6), the operating data of the studied system is listed in Tables 3 and 4.…”

Section: Case Studymentioning

confidence: 99%

“…Due to the parallel configuration between the high and low voltage side networks, the power flow on the high voltage side network generates additional flow, designated as transporting flow, through the low voltage side network [5]. The transporting flow is analogous to the loop flow in [6]. If the power flow on the high voltage side network is aggravated, the transporting flow increases and deteriorates the operating conditions of the low voltage side network; therefore, the transmission capacity of the high voltage side of an EMLN is limited [7].…”

Section: Introductionmentioning

confidence: 99%

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Sufficient Condition for the Parallel Flow Problem of Electromagnetic Loop Networks

Yang

Guo

2018

Mathematical Problems in Engineering

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Electromagnetic loop networks (EMLNs) are pervasive in power networks. Their major characteristic is parallel flow. EMLNs with substantial parallel flow are considered to have a parallel flow problem. There is currently a serious disagreement about whether EMLNs have a parallel flow problem, which has resulted in different configurations of national grids. Therefore, this paper proposes a general model of EMLNs and derives the parallel current function, which formulates parallel flow, from the network equations of both the high and low voltage sides of an EMLN. Accordingly, the high and low voltage sides of an EMLN are equivalent to two sets of parallel identical multi-transmission lines. Finally, this paper considers operating margins and derives the sufficient condition under which parallel flow can be ignored. The sufficient condition not only determines whether an EMLN has a parallel flow problem but also reveals simple approaches to visually diminishing parallel flow. If the EMLN satisfies the sufficient condition, parallel flow can be ignored; otherwise, the EMLN needs to operate in a restricted way or to adopt open loop planning.

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Cost recovery and investment barriers for renewables under market manipulation of thermal collusion

et al. 2021

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Part I: A New Framework for Modeling and Tracing of Bilateral Transactions and the Corresponding Loop Flows in Multi-Control Area Power Networks

Cited by 28 publications

References 15 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

Sufficient Condition for the Parallel Flow Problem of Electromagnetic Loop Networks

Cost recovery and investment barriers for renewables under market manipulation of thermal collusion

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