Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Optimal Hardening Strategy for Electricity-Hydrogen Networks with Hydrogen Leakage Risk Control against Extreme Weather

Sicheng Liu, Bo Yang, Xin Li, Xu Yang, Zhaojian Wang, Dafeng Zhu, Xinping Guan

Abstract

Defense hardening can effectively enhance the resilience of distribution networks against extreme weather disasters. Currently, most existing hardening strategies focus on reducing load shedding. However, for electricity-hydrogen distribution networks (EHDNs), the leakage risk of hydrogen should be controlled to avoid severe incidents such as explosions. To this end, this paper proposes an optimal hardening strategy for EHDNs under extreme weather, aiming to minimize load shedding while limiting the leakage risk of hydrogen pipelines. Specifically, modified failure uncertainty models for power lines and hydrogen pipelines are developed. These models characterize not only the effect of hardening, referred to as decision-dependent uncertainties (DDUs), but also the influence of disaster intensity correlations on failure probability distributions. Subsequently, a hardening decision framework is established, based on the two-stage distributionally robust optimization incorporating a hydrogen leakage chance constraint (HLCC). To enhance the computational efficiency of HLCC under discrete DDUs, an efficient second-order-cone transformation is introduced. Moreover, to address the intractable inverse of the second-order moment under DDUs, lifted variables are adopted to refine the main-cross moments. These reformulate the hardening problem as a two-stage mixed-integer second-order-cone programming, and finally solved by the column-and-constraint generation algorithm. Case studies demonstrate the effectiveness and superiority of the proposed method.

Optimal Hardening Strategy for Electricity-Hydrogen Networks with Hydrogen Leakage Risk Control against Extreme Weather

Abstract

Defense hardening can effectively enhance the resilience of distribution networks against extreme weather disasters. Currently, most existing hardening strategies focus on reducing load shedding. However, for electricity-hydrogen distribution networks (EHDNs), the leakage risk of hydrogen should be controlled to avoid severe incidents such as explosions. To this end, this paper proposes an optimal hardening strategy for EHDNs under extreme weather, aiming to minimize load shedding while limiting the leakage risk of hydrogen pipelines. Specifically, modified failure uncertainty models for power lines and hydrogen pipelines are developed. These models characterize not only the effect of hardening, referred to as decision-dependent uncertainties (DDUs), but also the influence of disaster intensity correlations on failure probability distributions. Subsequently, a hardening decision framework is established, based on the two-stage distributionally robust optimization incorporating a hydrogen leakage chance constraint (HLCC). To enhance the computational efficiency of HLCC under discrete DDUs, an efficient second-order-cone transformation is introduced. Moreover, to address the intractable inverse of the second-order moment under DDUs, lifted variables are adopted to refine the main-cross moments. These reformulate the hardening problem as a two-stage mixed-integer second-order-cone programming, and finally solved by the column-and-constraint generation algorithm. Case studies demonstrate the effectiveness and superiority of the proposed method.

Paper Structure

This paper contains 28 sections, 39 equations, 5 figures, 4 tables, 1 algorithm.

Table of Contents

  1. Indices
  2. Sets
  3. Variables
  4. Parameters and Constants
  5. Introduction
  6. Problem Formulation
  7. Scenarios and Assumptions
  8. Modeling Failure Uncertainties
  9. The Uncertainty model of Disaster Intensity
  10. Fragility Curves of Power Lines
  11. Fragility Curves of Hydrogen Pipelines
  12. The Ambiguity Set of Failure Distributions
  13. Formulation of the Hardening Decision Problem
  14. First-Stage Pre-disaster Decisions with the HLCC
  15. Second-Stage Post-disaster Energy Management
  16. ...and 13 more sections

Figures (5)

  • Figure 1: Illustration of fragility curves and related variables. It can be observed that the failure probability still exists after hardening but is significantly reduced, which can be characterized as decision dependent uncertainty. $\bar{\mu}$ and $k$ are two parameters introduced in Section II-B.3), representing the probability of failure and the linearized slope of the fragility curve at the expected wind speed $\bar{v}$, respectively.
  • Figure 2: Electricity-hydrogen distribution system with SSA.
  • Figure 3: Hardening decision under Case 3 (a) with the HLCC; (b) without the HLCC.
  • Figure 4: The WELSCs and VoLA under different ambiguity sets.
  • Figure 5: The topology of the PG&E 69-bus power with 34-node hydrogen distribution network, and hardening results.

Theorems & Definitions (1)

  • Remark 1