Probabilistic Flexibility Evaluation for Power System Planning Considering Its Association With Renewable Power Curtailment
Abstract
Taking advantage of various flexible resources to reduce or even eliminate renewable energy (RE) curtailment is an important issue in the operational planning of future power systems. Building a highly compatible flexibility evaluation method that incorporates a clear relation between flexibility indices and RE curtailment is crucial to addressing this issue. A novel flexibility evaluation methodology is proposed based on the probabilistic distribution of flexibility adequacy. The novel indices can reflect the direction, amount, frequency, and consequence of lack of flexibility and also have a linear relationship with RE curtailment, features that are beneficial for planners aiming to determine the type of flexible resources needed and to quantify their capacity. The conditional probability distribution functions of different types of flexible resources are first built. Then, a unified form of flexibility on different time-scales is proposed to represent and calculate their contributions to flexible indices using conditional probability convolution. The evaluation method is validated in a combined heat-and-electricity supply system. Four types of flexible resources are studied to demonstrate the quantitative capability of the proposed method in planning, including conventional units, electricity storage devices, heat storage devices, and electric boilers.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
AFA evaluates the overall capability to meet flexibility requirements.
“Inspired by literature [35], this article proposes three complementary flexibility assessment metrics for FCSs with PV and energy storage: AFA evaluates the overall capability to meet flexibility requirements, EFNS quantifies potential deficits in flexibility provision, and EDFA specifically measures the contribution of V2G services, collectively enabling comprehensive assessment from system-wide”
From Flexibility Region Quantification and Optimal Scheduling of Fast Charging Stations Considering EV User Discharge Willingness (2025) · cites this paper as [35]
EDFA measures the contribution of V2G services.
“Inspired by literature [35], this article proposes three complementary flexibility assessment metrics for FCSs with PV and energy storage: AFA evaluates the overall capability to meet flexibility requirements, EFNS quantifies potential deficits in flexibility provision, and EDFA specifically measures the contribution of V2G services, collectively enabling comprehensive assessment from system-wide”
From Flexibility Region Quantification and Optimal Scheduling of Fast Charging Stations Considering EV User Discharge Willingness (2025) · cites this paper as [35]
EFNS quantifies potential deficits in flexibility provision.
“Inspired by literature [35], this article proposes three complementary flexibility assessment metrics for FCSs with PV and energy storage: AFA evaluates the overall capability to meet flexibility requirements, EFNS quantifies potential deficits in flexibility provision, and EDFA specifically measures the contribution of V2G services, collectively enabling comprehensive assessment from system-wide”
From Flexibility Region Quantification and Optimal Scheduling of Fast Charging Stations Considering EV User Discharge Willingness (2025) · cites this paper as [35]
Cited by
Sorted by citations
Zhang, X., Zhao, Q., Guo, L., & Wang, S. (2025) · IEEE Transactions on Transportation Electrification · doi:10.1109/tte.2025.3594615 · Cited by 1 · see citing works
Hashmi, M. U., Koirala, A., Ergun, H., & Van Hertem, D. (2022) · arXiv · doi:10.48550/arxiv.2207.10234 · Cited by 1 · see citing works
- Authors
- Lu, Z., Li, H., & Qiao, Y.
- Affiliations
- Tsinghua University (CN)
- Tsinghua Sichuan Energy Internet Research Institute (CN)
- Venue
- IEEE Transactions on Power Systems
- Published
- 2018-05
- Volume
- 33
- Issue
- 3
- Pages
- 3285-3295
- ISSN
- 0885-8950 (ISSN-L)
- 1558-0679
- OpenAlex
- W2792053552
- Cited by
- 154
- References
- 0
- Citations by year
- 2026: 17 · 2025: 18 · 2024: 15 · 2023: 23 · 2022: 22 · 2021: 16 · 2020: 21 · 2019: 14 · 2018: 8
- FWCI
- 5.64
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Power Systems (publishedVersion)
- Funders
- National Key Research and Development Program of China (2016YFB0900100)
- National Natural Science Foundation of China (51677099, U1766201)
- State Grid Corporation Science and Technology Project (SGGSKY00FJJS1600209)
- Topics
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Integrated Energy Systems Optimization
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Electric Power System Optimization
- Physical Sciences › Engineering › Safety, Risk, Reliability and Quality › Power System Reliability and Maintenance
- Keywords
- renewable energy curtailment, power system planning, conditional distributions, flexible resources, electricity storage, thermal energy storage, electric boilers, combined heat and power
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review