基于ADMM的最优潮流分布式优化
发布时间：2021-12-28 23:14
最优潮流计算（OPF）是电力系统经济运行的基础。其一般具有大规模非凸约束而难以求解,解决方法之一是利用松弛技术将该约束转化成凸约束再用分布迭代方法求解。但松弛技术涉及到复杂计算,且收敛速度慢。现有的其他方法通常是同步迭代形式,每次迭代均需收集齐所有子区域的迭代结果,因此优化计算非常困难、效率较低。本文提出了一种新的电力系统分布式最优潮流计算方法。文中具体采用了交替方向乘法器（ADMM）算法,通过对罚参数的比较选择,确立了最佳罚参数,可以完全分布式地求解非凸OPF问题,解决了 OPF收敛速度慢的问题。建立了基于节点电压变量复制的分布式最优潮流计算模型。主要对N个节点的网络进行划分和分解,通过分离负责节点间耦合的变量,将计算向下分配到各工作节点。在工作节点上观察到相邻电压的实部和虚部,并引入辅助变量,进行交替迭代计算和更新局部电压、功率、主变量和双变量。本文通过不同IEEE算例系统的仿真验证了 ADMM的电力系统分布式最优潮流计算方法的有效性。选择了 IEEE30、57和118节点算例,本文分析了 OPF模型中的有功功率、无功功率等变量收敛过程,对残差进行了分析,并观察了惩罚参数对原始残差...
【文章来源】：华北电力大学(北京)北京市 211工程院校 教育部直属院校
【文章页数】：75 页
【学位级别】：硕士
【文章目录】：
摘要
ABSTRACT
Abbreviations
Notations
CHAPTER 1 INTRODUCTION
1.1 IMPORTANCE OF OPTIMAL POWER FLOW
1.2 OPTIMIZATION IN POWER SYSTEM
1.3 RESEARCH STATUS
1.4 MOTIVATION TOWARD TOPIC
1.5 SOME NATURAL QUESTIONS
1.6 THESIS FLOW CHART: METHODOLOGY
1.7 CONTRIBUTION OF THE THESIS
CHAPTER 2 DISTRIBUTED OPTIMAL POWER FLOW PROBLEM
2.1 INTRODUCTION TO OPTIMAL POWER FLOW PROBLEM
2.1.1 Standard OPF Problem
2.1.2 Objective Function
2.1.3 Variables
2.1.4 Constraints
2.2 OPTIMAL POWER FLOW CHALLENGES
2.3 OPF SOLUTION METHODOLOGIES
2.3.1 Conventional Methods
2.3.2 Intelligent Methods
2.4 RISE OF DISTRIBUTED OPF
2.5 METHODS TO SOLVE DISTRIBUTED OPF
2.6 OPF FORMULATION FOR DISTRIBUTED ADMM
2.7 NODE-BASED FORMULATION
2.8 SUMMARY
CHAPTER 3 OPTIMIZATION THEORY AND ADMM
3.1 DISTRIBUTION OPTIMIZATION
3.2 DUAL ASCENT
3.3 METHOD OF MULTIPLIERS
3.4 ALTERNATING DIRECTION METHOD OF MULTIPLIERS
3.5 CONVERGENCE RESULTS
3.6 OPTIMALITY CONDITIONS AND STOPPING CRITERION
3.7 ADMM AND QUADRATIC PROGRAMMING
3.8 ADMM Implementation
3.8.1 X-Update
3.8.2 Y-Update
3.8.3 Dual Update
3.9 PSEUDOCODE FOR DISTRIBUTED ALGORITHM
3.10 STOPPING CRITERIA
3.11 DYNAMIC PENALTY PARAMETER
3.12 SUMMARY
CHAPTER 4 NUMERICAL RESULTS
4.1 TEST NETWORKS
4.2 INITIALIZATION AND PARAMETER TUNING
4.3 PERFORMANCE EVALUATION
4.4 CONVERGENCE BEHAVIOR
4.5 SUMMARY
CHAPTER 5 CONCLUSION
APPENDIX A
ACKNOWLEDGEMENT
REFERENCES
本文编号：3554921
【文章来源】：华北电力大学(北京)北京市 211工程院校 教育部直属院校
【文章页数】：75 页
【学位级别】：硕士
【文章目录】：
摘要
ABSTRACT
Abbreviations
Notations
CHAPTER 1 INTRODUCTION
1.1 IMPORTANCE OF OPTIMAL POWER FLOW
1.2 OPTIMIZATION IN POWER SYSTEM
1.3 RESEARCH STATUS
1.4 MOTIVATION TOWARD TOPIC
1.5 SOME NATURAL QUESTIONS
1.6 THESIS FLOW CHART: METHODOLOGY
1.7 CONTRIBUTION OF THE THESIS
CHAPTER 2 DISTRIBUTED OPTIMAL POWER FLOW PROBLEM
2.1 INTRODUCTION TO OPTIMAL POWER FLOW PROBLEM
2.1.1 Standard OPF Problem
2.1.2 Objective Function
2.1.3 Variables
2.1.4 Constraints
2.2 OPTIMAL POWER FLOW CHALLENGES
2.3 OPF SOLUTION METHODOLOGIES
2.3.1 Conventional Methods
2.3.2 Intelligent Methods
2.4 RISE OF DISTRIBUTED OPF
2.5 METHODS TO SOLVE DISTRIBUTED OPF
2.6 OPF FORMULATION FOR DISTRIBUTED ADMM
2.7 NODE-BASED FORMULATION
2.8 SUMMARY
CHAPTER 3 OPTIMIZATION THEORY AND ADMM
3.1 DISTRIBUTION OPTIMIZATION
3.2 DUAL ASCENT
3.3 METHOD OF MULTIPLIERS
3.4 ALTERNATING DIRECTION METHOD OF MULTIPLIERS
3.5 CONVERGENCE RESULTS
3.6 OPTIMALITY CONDITIONS AND STOPPING CRITERION
3.7 ADMM AND QUADRATIC PROGRAMMING
3.8 ADMM Implementation
3.8.1 X-Update
3.8.2 Y-Update
3.8.3 Dual Update
3.9 PSEUDOCODE FOR DISTRIBUTED ALGORITHM
3.10 STOPPING CRITERIA
3.11 DYNAMIC PENALTY PARAMETER
3.12 SUMMARY
CHAPTER 4 NUMERICAL RESULTS
4.1 TEST NETWORKS
4.2 INITIALIZATION AND PARAMETER TUNING
4.3 PERFORMANCE EVALUATION
4.4 CONVERGENCE BEHAVIOR
4.5 SUMMARY
CHAPTER 5 CONCLUSION
APPENDIX A
ACKNOWLEDGEMENT
REFERENCES
本文编号：3554921
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