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Convex quadratic relaxations for mixed-integer nonlinear programs in power systems

Hassan Hijazi, Carleton Coffrin, Pascal Van Hentenryck
2016 Mathematical Programming Computation  
This paper presents a set of new convex quadratic relaxations for nonlinear and mixed-integer nonlinear programs arising in power systems.  ...  Three case studies in optimal power flow, optimal transmission switching and capacitor placement demonstrate the benefits of the new relaxations.  ...  Acknowledgements The authors would like to thank Daniel K. Molzahn and Bernard C. Lesieutre for  ... 
doi:10.1007/s12532-016-0112-z fatcat:7n56dduvl5eljpwrwjdyudeqtq

Optimal Transmission Line Switching under Geomagnetic Disturbances [article]

Mowen Lu, Harsha Nagarajan, Emre Yamangil, Russell Bent, Scott Backhaus, Arthur Barnes
2017 arXiv   pre-print
We employ state-of-the-art convex relaxations of AC power flow equations to lower bound the objective.  ...  We also provide a sensitivity analysis of optimal switching decisions with respect to GMD direction.  ...  5 The DC circuit and the effects associated with the GMD on/off variable ze ∈ {0, 1}, a disjunctive quadratic relaxation are formulated in constraints (3s)-(3w).  ... 
arXiv:1701.01469v4 fatcat:5ph2gujmivbdjfzttmswe2l56u

Iterative relaxation solution for AC optimal transmission network reconfiguration considering bus splitting

Yaqi Sun, Zhuang Tian, Wenchuan Wu, Yanling Du, Bin Wang, Yanna Xi
2021 IET Generation, Transmission & Distribution  
However, the traditional optimal transmission switching only considers the transmission line switching strategy and some approximate power flow models are adopted to make it tractable, such as linearisation  ...  or convex relaxation ones.  ...  Therefore, the model established below is applicable to both optimal transmission switching and optimal network reconfiguration.  ... 
doi:10.1049/gtd2.12252 fatcat:tfeyzxo6vzaq7av54qi462mlsi

A Tight SDP Relaxation for MIQCQP Problems in Power Systems Based on Disjunctive Programming [article]

Qifeng Li
2015 arXiv   pre-print
An optimization problem considering AC power flow constraints and integer decision variables can usually be posed as a mixed-integer quadratically constrained quadratic program (MIQCQP) problem.  ...  Finally, globally optimal solution of the DP problem which is the tightest relaxation for the MIQCQP proposed in the paper is obtained by solving the resulting MISDP problem using a branch-and-bound (B  ...  planning [14] , reactive power planning [15] and optimal transmission switching [16] .  ... 
arXiv:1509.05141v1 fatcat:cqeefwerhfd2jbkqo3pifqtcbq

Wireless Networks with RF Energy Harvesting: A Contemporary Survey [article]

Xiao Lu, Ping Wang, Dusit Niyato, Dong In Kim, Zhu Han
2014 arXiv   pre-print
First, we present an overview of the RF-EHNs including system architecture, RF energy harvesting techniques and existing applications.  ...  Then, we present the background in circuit design as well as the state-of-the-art circuitry implementations, and review the communication protocols specially designed for RF-EHNs.  ...  To tackle this issue, the authors replace the non-convex probabilistic constraint with a convex deterministic constraint, and adopt semidefinite relaxation to obtain the optimal solution.  ... 
arXiv:1406.6470v6 fatcat:bjmvi4hwfnhvbnodubqipsdija

Convex Optimization for Energy Management of Parallel Hybrid Electric Vehicles

S. Hadj-Said, G. Colin, A. Ketfi-Cherif, Y. Chamaillard
2016 IFAC-PapersOnLine  
In the second case, a binary decision ICE On/Off is included in the optimization problem.  ...  This paper presents a comparison between two optimization methods for the energy management of a parallel hybrid electric powertrain: convex programming and Pontryagin's Minimum Principle (PMP).  ...  In addition, the PMP analytical method has two more important and convex optimization for ARTEMIS highway cycle with engine On/Off strategy advantages: it is easier to implement and to evaluate its robustness  ... 
doi:10.1016/j.ifacol.2016.08.041 fatcat:pkoc4phbm5cfzgrpqugupvk52e

Comprehensive Energy Footprint Benchmarking of Strong Parallel Electrified Powertrain [article]

Hamza Anwar, Aashrith Vishwanath, Apurva Chunodkar, Qadeer Ahmed
2022 arXiv   pre-print
A novel three step PS3 algorithm which is presented in our prequel paper [1] is used to obtain a near-optimal solution for the case study problem.  ...  In this paper we present a benchmark solution with higher number of continuous and discrete states and control levers using validated powertrain component models, where DP fails due to exponential rise  ...  /off dwell time dynamics A similar formulation is made for engine on/off state variable, e ∈ {0, 1} and engine on/off switch control, e cmd .  ... 
arXiv:2106.00243v4 fatcat:mkzzn55etfhmfiq4spenayntgi

Electromobility Studies Based on Convex Optimization: Design and Control Issues Regarding Vehicle Electrification

2014 IEEE Control Systems  
Citation for the published paper: Egardt, B. ; Murgovski, N. ; Pourabdollah, M. et al. (2014) "Electromobility Studies Based on Convex Optimization DESIGN AND CONTROL ISSUES REGARDING VEHICLE ELECTRIFICATION  ...  The technology in several vital areas, such as components for electric energy storage and electric drives, needs to be developed further.  ...  The speed-dependent constraints on power for the EM and ICE model are shown in Figure 4 . A heuristic, similar to one used in case study 1, is used to switch the ICE on/off.  ... 
doi:10.1109/mcs.2013.2295709 fatcat:ics23duelfhifeitmfq7cej5ye

Optimal branch exchange for feeder reconfiguration in distribution networks

Qiuyu Peng, Steven H. Low
2013 52nd IEEE Conference on Decision and Control  
The feeder reconfiguration problem chooses the on/off status of the switches in a distribution network in order to minimize a certain cost such as power loss.  ...  It uses an AC power flow model and is based on the recently developed convex relaxation of optimal power flow. We provide a bound on the gap between the optimal cost and that of our solution.  ...  OPF and convex relaxation The optimal power flow problem seeks to optimize a certain objective over the feasible set X(G) specified by the power flow equations (1)-(4) and the operation constraints (5)  ... 
doi:10.1109/cdc.2013.6760333 dblp:conf/cdc/PengL13 fatcat:thb4c2225ffz7jmtkxwvfnmyni

A Solution Method for Many-Objective Security-Constrained Unit Commitment Considering Flexibility

Shunjiang Lin, Hui Wu, Jie Liu, Wanbin Liu, Yanghua Liu, Mingbo Liu
2022 Frontiers in Energy Research  
To obtain the Pareto optimal solutions of the model, based on the objective selection and ε-constraint methods, we proposed two methods to reduce the dimension of objectives and transformed the five-objective  ...  Then, we used the normalized normal constraint method to solve the Pareto frontier surface of each three-objective optimization model.  ...  Thus, we used the convex hull relaxation method to transform the quadratic equality constraint into convex constraints.  ... 
doi:10.3389/fenrg.2022.857520 fatcat:rcomeierhjh3tbgotce5vpl6eu

Large-Scale Convex Optimization for Ultra-Dense Cloud-RAN [article]

Yuanming Shi and Jun Zhang and Khaled B. Letaief and Bo Bai and Wei Chen
2015 arXiv   pre-print
, while convex optimization will serve as a powerful tool for such purposes.  ...  Network power minimization and channel state information acquisition will be used as two typical examples to demonstrate the effectiveness of convex optimization methods.  ...  For example, by adaptively switching on/off radio access points, and adjusting computing resources at the cloud data center, the network can be well adapted to spatial and temporal traffic fluctuations  ... 
arXiv:1506.04243v1 fatcat:h45a7e4hmrfwteln76umylowaq

A Comprehensive Review of Security-constrained Unit Commitment

Nan Yang, Zhenqiang Dong, Lei Wu, Lei Zhang, Xun Shen, Daojun Chen, Binxin Zhu, Yikui Liu
2022 Journal of Modern Power Systems and Clean Energy  
Therefore, it is essential to review current work and propose future directions for SCUC to meet the needs of developing power systems.  ...  It is hoped that this paper can be a useful reference to support theoretical research and practical applications of SCUC in the future.  ...  Accordingly, existing studies have usually converted non-convex quadratic equality constraints and coupling constraints into convex ones for the solution [108] , [109] .  ... 
doi:10.35833/mpce.2021.000255 fatcat:tyzguvkpqjbuvkwlsjtvm6skbu

Component sizing of a plug-in hybrid electric powertrain via convex optimization

Nikolce Murgovski, Lars Johannesson, Jonas Sjöberg, Bo Egardt
2012 Mechatronics (Oxford)  
The comparison clearly shows the importance of the gear and engine on/off decisions, and it also shows that the convex optimization and Dynamic Programming point toward similar battery size and operating  ...  cost when the same gear and engine on/off heuristics are used.  ...  Heuristic decisions The engine on/off and transmission gear can be defined as any function independent on the variables decided by the convex optimization.  ... 
doi:10.1016/j.mechatronics.2011.12.001 fatcat:cuqa3jyee5fn5hy46daf4rsrcu

An Optimization and Analysis Framework for TCO Minimization of Plug-in Hybrid Heavy-duty Electric Vehicles

D.P.H. Kolodziejak, T.H. Pham, T. Hofman, S. Wilkins
2019 IFAC-PapersOnLine  
The developed optimization framework is formulated via combining convex optimization and Dynamic Programming technique.  ...  The developed optimization framework is formulated via combining convex optimization and Dynamic Programming technique.  ...  ACKNOWLEDGEMENTS This work is supported by ORCA project addressing topic GV-03-2016, "System and cost optimised hybridisation of road vehicles" of the Green Vehicle work programme.  ... 
doi:10.1016/j.ifacol.2019.09.077 fatcat:3jehd524q5eonolzt7o6hakg6y

Uplink Cross-Layer Scheduling with Differential QoS Requirements in OFDMA Systems

Bo Bai, Wei Chen, Zhigang Cao, Khaled Ben Letaief
2010 EURASIP Journal on Wireless Communications and Networking  
Fair and efficient scheduling is a key issue in cross-layer design for wireless communication systems, such as 3GPP LTE and WiMAX.  ...  Given these QoS requirements, the traffic scheduling will be formulated into a cross-layer optimization problem, which is convex fortunately.  ...  Acknowledgment This work is supported by NSFC key project under Grant no. 60832008, and RGC/NSFC project under Grant no. N HKUST622/06.  ... 
doi:10.1155/2010/168357 fatcat:kkubgyht6fevhljcp6gpof2zde
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