Mixed-integer second-order cone optimization for composite discrete ply-angle and thickness topology optimization problems

2020 ◽  
Author(s):  
Sicheng He ◽  
Mohammad Shahabsafa ◽  
Weiming Lei ◽  
Ali Mohammad-Nezhad ◽  
Tamás Terlaky ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Optimization Problems ◽  
Second Order ◽  
Mixed Integer ◽  
Second Order Cone

scholarly journals Coordinated Operation of Electricity and Natural Gas Networks with Consideration of Congestion and Demand Response

2021 ◽  
Vol 11 (11) ◽  
pp. 4987
Author(s):  
Chun Sing Lai ◽  
Mengxuan Yan ◽  
Xuecong Li ◽  
Loi Lei Lai ◽  
Yang Xu
Keyword(s):  
Natural Gas ◽  
Demand Response ◽  
Optimization Problems ◽  
Second Order ◽  
Mixed Integer ◽  
Network Operator ◽  
Cone Programming ◽  
Gas Networks ◽  
Second Order Cone ◽  
Electricity Network

This work presents a new coordinated operation (CO) framework for electricity and natural gas networks, considering network congestions and demand response. Credit rank (CR) indicator of coupling units is introduced, and gas consumption constraints information of natural gas fired units (NGFUs) is given. Natural gas network operator (GNO) will deliver this information to an electricity network operator (ENO). A major advantage of this operation framework is that no frequent information interaction between GNO and ENO is needed. The entire framework contains two participants and three optimization problems, namely, GNO optimization sub-problem-A, GNO optimization sub-problem-B, and ENO optimization sub-problem. Decision sequence changed from traditional ENO-GNO-ENO to GNO-ENO-GNO in this novel framework. Second-order cone (SOC) relaxation is applied to ENO optimization sub-problem. The original problem is reformulated as a mixed-integer second-order cone programming (MISOCP) problem. For GNO optimization sub-problem, an improved sequential cone programming (SCP) method is applied based on SOC relaxation and the original sub-problem is converted to MISOCP problem. A benchmark 6-node natural gas system and 6-bus electricity system is used to illustrate the effectiveness of the proposed framework. Considering pipeline congestion, CO, with demand response, can reduce the total cost of an electricity network by 1.19%, as compared to −0.48% using traditional decentralized operation with demand response.

scholarly journals Mixed-integer second-order cone programming taking appropriate approximation for the unit commitment in hybrid AC–DC grid

2017 ◽  
Vol 2017 (13) ◽  
pp. 1462-1467
Author(s):  
Bo Zhou ◽  
Xiaomeng Ai ◽  
Jiakun Fang ◽  
Jingyu Wen ◽  
Jianhua Yang
Keyword(s):  
Unit Commitment ◽  
Second Order ◽  
Mixed Integer ◽  
Cone Programming ◽  
Second Order Cone Programming ◽  
Second Order Cone

scholarly journals Two-Stage Stochastic Programming Scheduling Model for Hybrid AC/DC Distribution Network Considering Converters and Energy Storage System

2019 ◽  
Vol 10 (1) ◽  
pp. 181
Author(s):  
Peng Kang ◽  
Wei Guo ◽  
Weigang Huang ◽  
Zejing Qiu ◽  
Meng Yu ◽  
...  
Keyword(s):  
Wind Power ◽  
Reactive Power ◽  
Distribution Network ◽  
Stochastic Scheduling ◽  
Second Order ◽  
Mixed Integer ◽  
Two Stage ◽  
Dc Distribution ◽  
Scheduling Model ◽  
Second Order Cone

The development of DC distribution network technology has provided a more efficient way for renewable energy accommodation and flexible power supply. A two-stage stochastic scheduling model for the hybrid AC/DC distribution network is proposed to study the active-reactive power coordinated optimal dispatch. In this framework, the wind power scenario set is utilized to deal with its uncertainty in real time, which is integrated into the decision-making process at the first stage. The charging/discharging power of ESSs and the transferred active/reactive power by VSCs can be adjusted when wind power uncertainty is observed at the second stage. Moreover, the proposed model is transformed into a mixed integer second-order cone programming optimization problem by linearization and second-order cone relaxation techniques to solve. Finally, case studies are implemented on the modified IEEE 33-node AC/DC distribution system and the simulation results demonstrate the effectiveness of the proposed stochastic scheduling model and solving method.

Optimal generation scheduling in microgrids using mixed-integer second-order cone programming

2020 ◽  
Vol 52 (12) ◽  
pp. 2164-2192
Author(s):  
Gholamreza Shaghaghi-shahr ◽  
Mostafa Sedighizadeh ◽  
Mohammadreza Aghamohammadi ◽  
Masoud Esmaili
Keyword(s):  
Second Order ◽  
Mixed Integer ◽  
Cone Programming ◽  
Second Order Cone Programming ◽  
Second Order Cone ◽  
Generation Scheduling
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