电工技术学报  2019, Vol. 34 Issue (23): 4957-4971    DOI: 10.19595/j.cnki.1000-6753.tces.181564
电力系统 |
计及大气污染物时空扩散的电-气能流分散协同优化
史守圆, 瞿凯平, 余涛, 刘前进, 王文睿
华南理工大学电力学院 广州 510640
A Distributed Algorithm for Optimal Power-Gas Flow Considering Space-Time Diffusion of Atmospheric Pollutants
Shi Shouyuan, Qu Kaiping, Yu Tao, Liu Qianjin, Wang Wenrui
School of Electric Power South China University of Technology Guangzhou 510640 China
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摘要 针对传统大气污染物排放总量控制对降低发电活动污染危害效率不高的问题,提出一种计及大气污染物时空扩散和地区容忍能力差异的电-气互联系统最优能流分散求解算法,同时提出一种不含整数变量的天然气管道气流方向描述方法。基于高斯烟团模型描述污染物时空扩散过程,建立发电活动对空气污染的评价指标和环境附加约束。用若干仅含二次方项的等价约束替代含有绝对值符号的Weymouth气流方程,并通过罚凸凹过程将模型凸化。最后基于广义Benders分解将最优电-气能流问题分解为可独立求解的电力网络主问题和天然气网络子问题,两者只需交换少量信息便可实现协同优化。仿真算例验证了该方法减轻大气污染的有效性及所提气流方向处理方法的准确性和优越性。
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史守圆
瞿凯平
余涛
刘前进
王文睿
关键词 大气污染物时空扩散电-气互联系统管道气流方向广义Benders分解    
Abstract:To resolve the low efficiency of traditional atmospheric emission amount control in reducing air pollution of power generation activities, this paper proposed a distributed optimizing algorithm to find the optimal energy flow in the integrated power and gas system with consideration of the spatiotemporal diffusion of atmospheric pollutants as well as the difference of pollution tolerance between regions. Meanwhile, a method describing the direction of pipeline airflow in natural gas networks without integer variables was also proposed. The diffusion process of atmospheric pollutants was depicted by the Gaussian puff model, with which an evaluation index of air pollution of power generation activities and several additional environmental constraints were established. The Weymouth airflow equation with absolute value was replaced by several equivalent constraints with only square terms of variables, so that the model can be convexified by a penalty convex-concave procedure. Finally, the generalized Benders decomposition was employed to break the problem into a main-problem of power network and a sub-problem of natural gas network which can be calculated independently, so that synergetic optimization can be performed with a little information exchanged between the two networks. Simulation verified the effectiveness of the proposed model in reducing air pollution, as well as the accuracy and superiority of the proposed airflow direction handling method.
Key wordsSpace-time diffusion of atmospheric pollutants    integrated power and gas system    pipeline airflow direction    generalized Benders decomposition   
收稿日期: 2018-09-26      出版日期: 2019-12-11
PACS: TM732  
基金资助:国家自然科学基金资助项目(51477055, 51777078)
通讯作者: 余 涛 男,1974年生,教授,研究方向为复杂电力系统的非线性控制理论、优化与机器学习等。E-mail:taoyu1@scut.edu.cn   
作者简介: 史守圆 男,1994年生,硕士研究生,研究方向为电力系统优化运行与控制、机器学习等。E-mail:shishouyuan@outlook.com
引用本文:   
史守圆, 瞿凯平, 余涛, 刘前进, 王文睿. 计及大气污染物时空扩散的电-气能流分散协同优化[J]. 电工技术学报, 2019, 34(23): 4957-4971. Shi Shouyuan, Qu Kaiping, Yu Tao, Liu Qianjin, Wang Wenrui. A Distributed Algorithm for Optimal Power-Gas Flow Considering Space-Time Diffusion of Atmospheric Pollutants. Transactions of China Electrotechnical Society, 2019, 34(23): 4957-4971.
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