Abstract

After disasters, enhancing the resilience of power systems and restoring power systems rapidly can effectively reduce the economy damage and bad social impacts. Reasonable post-disaster restoration strategies are the most critical part of power system restoration work. This paper co-optimizes post-disaster damage repair and power system operation together to formulate the optimal repair route, the unit output and transmission switching plan. The power outage loss will be minimized, with possible small expense of damage repair and power system operation cost. The co-optimization model is formulated as a mixed integer second order cone program (MISOCP), while the AC-power-flow model, the complex power system restoration constraints and the changing processes of component available states are synthetically considered to make the model more realistic. Lagrange relaxation (LR) decomposes the model into the damage repair routing sub problem and the power system operation sub problem, which can be solved iteratively. An acceleration strategy is used to improve the solving efficiency. The proposed model and algorithm are validated by the IEEE 57-bus test system and the results indicate that the proposed model can realize the enhancement of resilience and the economic restoration of post-disaster power systems.

Highlights

  • Power systems have become an indispensable guarantee for the prosperity and development of modern society

  • 57-bus test system and the results indicate that the proposed model can realize the enhancement of resilience and the economic restoration of post-disaster power systems

  • Reference modeled the damage repair and power system restoration, which is regarded as a challenging problem transportation of repair crews as a vehicle routing problem (VRP) in detail and a two-stage method

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Summary

Introduction

Power systems have become an indispensable guarantee for the prosperity and development of modern society. It is more meaningful and practical to study the of local power systems scarce especially the repair of damaged components. Many studies are trying to take the damage repair work into consideration when restoring the post-disaster system. Reference modeled the damage repair and power system restoration, which is regarded as a challenging problem [30]. Existing models cannot consider many complex post-disaster system restoration constraints precisely and synthetically or depict the dynamic changing processes of component available states. Based on the above studies, this paper proposes a novel co-optimization model to coordinate the damage repair work with system operation in post-disaster restoration for generation and transmission system. The AC-power-flow model, the post-disaster power system restoration complex constraints and the changing processes of component states are involved systematically and integrally, which makes up the shortcomings of existing studies.

Model Description
Mathematical Model
Objective Function
Constraints of Damage Repair
Constraints of Power System Operation
Coupling Constraints
Transformation of Complex Nonlinear Constraint
Solution
Lagrange Relaxation of the MISOCP Model
The Acceleration Strategy
The Algorithm Flow
Case Study
The the Acceleration
The Impacts of Damage Repair Resources Allocation and Adequacy on Restoration
The Impacts of Weight Factors in the Objective Function on Restoration
Conclusions
Full Text
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