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Interval carbon emission flow model and bi-level branch-and-bound algorithm for power systems considering renewable energy uncertainty

Author

Listed:
  • Shen, Haoning
  • Ding, Tao
  • Mu, Chenggang
  • Jia, Wenhao
  • Yuan, Yi
  • Xue, Yixun
  • Ge, Huaichang
  • Chang, Xinyue
  • Li, Fangxing

Abstract

To quantify the impact of renewable energy uncertainty on carbon emission flow (CEF), this paper proposes a novel interval CEF model. The model is efficiently solved using a bi-level branch-and-bound (B&B) algorithm. First, an analytical formulation of the interval CEF model is derived based on carbon emission flow theory and a deterministic CEF framework. Due to its structural characteristics, the model can be expressed as a mixed-integer quadratic constrained linear programming (MIQCLP) problem. To solve this efficiently, a bi-level B&B algorithm is developed. The upper-level applies a spatial B&B algorithm to handle the quadratic constrained linear programming (QCLP) subproblem, while the lower-level applies a simple B&B algorithm for the mixed-integer linear programming (MILP) subproblem. Simulation results on several IEEE test systems confirm the model's effectiveness and computational efficiency.

Suggested Citation

  • Shen, Haoning & Ding, Tao & Mu, Chenggang & Jia, Wenhao & Yuan, Yi & Xue, Yixun & Ge, Huaichang & Chang, Xinyue & Li, Fangxing, 2025. "Interval carbon emission flow model and bi-level branch-and-bound algorithm for power systems considering renewable energy uncertainty," Energy, Elsevier, vol. 333(C).
    • Handle: RePEc:eee:energy:v:333:y:2025:i:c:s036054422502986x
    DOI: 10.1016/j.energy.2025.137344
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