An Optimization-Based DC-Network Reduction Method

Zhu, Yujia; Tylavsky, Daniel

doi:10.1109/tpwrs.2017.2745492

Cited by 12 publications

(6 citation statements)

References 19 publications

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“…6 In this set of analyses, we run the model (Section 3) for the WECC in the year 2034. The system is a reduced network based on the 2026 Common Case of the WECC (WECC, 2017) with 361 buses and 712 transmission lines using the network reduction method developed in Zhu and Tylavsky (2018). A map of the network is shown in Fig.…”

Section: Experimental Setting -Wecc Systemmentioning

confidence: 99%

Economic efficiency of alternative border carbon adjustment schemes: A case study of California Carbon Pricing and the Western North American power market

Hobbs

2021

Energy Policy

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A local jurisdiction that regulates power plant emissions, but participates in a larger regional power market faces the issue of emissions leakage, in which local emissions decrease, but emissions associated with the imported power increase. Border carbon adjustment (BCA) schemes can be imposed on imports in an attempt to lessen leakage. This paper explores the potential cost and emission impacts of alternative BCA policies that could be implemented in the California AB32 carbon pricing system. We focus on cost and emission impacts on the power sector in California and the rest of the Western Electricity Coordinating Council (WECC) region, the latter of which provides approximately 23.5% of California's electricity requirements.With both a simple schematic model and a detailed WECC generation-transmission expansion planning model for the year 2034 called JHSMINE, we examine the following deemed emission rate schemes for estimating and charging for emissions associated with electricity imports: no BCA, facility (import source)-specific deemed rate, a facility-neutral and constant deemed rate, and a facilityneutral and dynamic deemed rate. Our results suggest that, compared with cases with either no BCA or a BCA using facility-based deemed emission rates, facility-neutral schemes can provide efficiency gains by simultaneously lowering WECC-wide emissions and costs without raising payments by California consumers. Emissions leakage declines greatly. The precise value of the deemed rate affects these gains. One particular facility-neutral dynamic scheme in which rates are set by marginal emission rates external to California provides the greatest gain in economic efficiency. Our results also show the impact of carbon pricing and BCAs on transmission investment economics: California's unilateral AB32 carbon pricing encourages more interstate transmission expansion because power imports are more profitable; however, BCAs that are cost-effective in lowering total regional emissions will dampen those incentives.

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Section: Experimental Setting -Wecc Systemmentioning

confidence: 99%

Economic efficiency of alternative border carbon adjustment schemes: A case study of California Carbon Pricing and the Western North American power market

Hobbs

2021

Energy Policy

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“…The PTDF matrix is fully based on the DC power model. The corresponding power flows and power injections are linearly related to a susceptance matrix and bus voltage angles, respectively [15,16]. The PTDF matrix, shown in Figure 1, can be expressed as follows:…”

Section: Ptdf Matrixmentioning

confidence: 99%

Development of a Static Equivalent Model for Korean Power Systems Using Power Transfer Distribution Factor-Based k-Means++ Algorithm

Lee

Kim

2020

Energies

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This paper presents a static network equivalent model for Korean power systems. The proposed equivalent model preserves the overall transmission network characteristics focusing on power flows among areas in Korean power systems. For developing the model, a power transfer distribution factor (PTDF)-based k-means++ algorithm was used to cluster the bus groups in which similar PTDF characteristics were identified. For the reduction process, the bus groups were replaced by a single bus with a generator or load, and an equivalent transmission line was determined to maintain power flows in the original system model. Appropriate voltage levels were selected, and compensation for real power line losses was made for the correct representation. A Korean power system with more than 1600 buses was reduced to a 38-bus system with 13 generators, 25 loads, and 74 transmission lines. The effectiveness of the developed equivalent model was evaluated by performing power flow simulations and comparisons of various characteristics of the original and reduced systems. The simulation comparisons show that the developed equivalent model maintains inter-area power flows as close as possible to the original Korean power systems.

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“…We discuss four sets of assumptions: network reduction, existing generation mix, new generation investments, and network investment possibilities. First, the system is a reduction of the WECC Common Case 2024 [7] (details in [6,56]). The reduced network includes 328 nodes and 530 lines (Fig.…”

Section: Case Study Environment: 300-bus Wecc Systemmentioning

confidence: 99%

Value of model enhancements: quantifying the benefit of improved transmission planning models

Hobbs

2019

IET gener. transm. distrib.

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A framework to quantify the value of model enhancements (VOME) in transmission planning models is proposed and applied to a case study of the large-scale, long-term planning of the Western Electricity Coordinating Council (WECC) system. The VOME, which is closely related to the concept of the value of information from decision analysis, quantifies the probability-weighted improvement in the system performance resulting from changes in decisions that result from model enhancements. The WECC case study shows that it is practical to quantify VOME and illustrates the type of insights that can be obtained. The values of four types of model enhancements are compared. The results show major benefits from considering long-run uncertainty using multiple scenarios of technology, policy, and economics; these benefits are as much as 14% of total benefits of new transmission built in the first ten years. But less benefit is obtained from more temporal granularity, more complex network representations, and inclusion of unit commitment constraints and costs. This framework can be applied to quantify the value of model enhancements in any planning context, such as integrated resource planning. Nomenclature () Expected present worth of system cost of making decision , based on the model with all enhancements () Binary parameter: if () = 1, then enhancement i is included in the model with setting ; if zero, then the enhancement is excluded. For instance, if there are three candidate enhancements, then 1 (*) = 1, 2 (*) = 0, 3 (*) = 1 indicates a model with only Enhancements 1 and 3 implemented. Set of enhancements, indexed by i, j = 1…n Optimal first stage transmission investments ("decision") from a model with enhancements setting specified by. (E.g., ω * , where 1 (*) = 1, 2 (*) = 0, 3 (*) = 1 , indicates investments from a model with only Enhancements 1 and 3 implemented.) Decision of no transmission investments in stage 1 Optimal decision from the model with all enhancements (i.e., () = 1 for all i). Model enhancement setting, describing what enhancements are included in the model formulation. Ω The set of all possible permutations of enhancements other than i

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An Optimization-Based DC-Network Reduction Method

Cited by 12 publications

References 19 publications

Economic efficiency of alternative border carbon adjustment schemes: A case study of California Carbon Pricing and the Western North American power market

Economic efficiency of alternative border carbon adjustment schemes: A case study of California Carbon Pricing and the Western North American power market

Development of a Static Equivalent Model for Korean Power Systems Using Power Transfer Distribution Factor-Based k-Means++ Algorithm

Value of model enhancements: quantifying the benefit of improved transmission planning models

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