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Robust optimisation for AC–DC power flow based on second-order cone programming

The Journal of Engineering 2018年第13期2017卷 2164-2167页

作者： Ye Zhou Yuan Tian Keyou Wang Mehrdad Ghandhari Department of Electrical Engineering Shanghai Jiao Tong University People's Republic of China Department of Electric Power Systems KTH Royal Institute of Technology Sweden

This study presents an adjustable robust optimisation method for AC–DC optimal power flow (OPF) considering the uncertainty of renewable energy source (RESs). The optimal power flow of AC–DC system is modelled as a second-order cone (SOC) problem, and the affinely adjustable robust OPF (AAROPF) formulation is proposed. To apply AAROPF, the base-point generation is calculated and determined to match the power with forecasted RES output before the realisation of the uncertainty. Also once the uncertainty is revealed, generators reschedule its output through participation factors responding to the uncertain fluctuation of RES output to ensure a feasible solution for all realisations of RES output within a prescribed uncertainty set. Numerical results are obtained on a modified AC–DC IEEE 30-bus to minimise the expected operational cost. Results reveal a higher cost using AAROPF than the deterministic case, but it obtains a more robust solution with higher successful rates.

关键词： load flow optimisation power generation scheduling AC generators power generation economics cost reduction expected operational cost minimisation modified AC-DC IEEE 30-bus generator output rescheduling base-point generation AAROPF formulation affinely adjustable robust OPF formulation SOC problem RES uncertainty renewable energy source AC-DC OPF AC-DC optimal power flow adjustable robust optimisation method second-order cone programming robust optimisation

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Robust Blind Separation for MIMO Systems against Channel Mismatch Using second-order cone programming

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China Communications 2017年第6期14卷 168-178页

作者： Zhongqiang Luo Chengjie Li Lidong Zhu School of Automation & Information Engineering Sichuan University of Science and Engineering National Key Laboratory of Science and Technology on Communications University of Electronic Science and Technology of China

To improve the deteriorated capacity gain and source recovery performance due to channel mismatch problem,this paper reports a research about blind separation method against channel mismatch in multiple-input multiple-output(MIMO) *** channel mismatch problem can be described as a channel with bounded fluctuant errors due to channel distortion or channel estimation *** problem of blind signal separation/extraction with channel mismatch is formulated as a cost function of blind source separation(BSS) subject to the second-order cone constraint,which can be called as second-order cone programing optimization *** the resulting cost function is solved by approximate negentropy maximization using quasi-Newton iterative methods for blind separation/extraction source *** analysis demonstrates that the proposed algorithm has low computational complexity and improved performance *** results verify that the capacity gain and bit error rate(BER) performance of the proposed blind separation method is superior to those of the existing methods in MIMO systems with channel mismatch problem.

关键词： multiple-input multiple-output channel mismatch second-order cone programming blind source separation independent component analysis

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Topology optimization of three-dimensional frame structures using mixed-integer second-order cone programming

Journal of Structural and Construction Engineering

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Journal of Structural and Construction Engineering 2017年第732期82卷 193-201页

作者： Fujita, Shinnosuke Kanno, Yoshihiro Laboratory for Future Interdisciplinary Research of Science and Technology Tokyo Institute of Technology Japan

A new approach is proposed for topology optimization of 3D-frame structures with discrete design variables. The 3D-frame topology optimization problem of minimizing compliance is formulated as mixed-integer second-order cone programming (MISOCP) by using the dual problem of total potential energy minimization problem. From this formula, the global optimal solution can be computed with a branch-and-bound method. In this paper, various 3D-frame topology optimization problems of minimizing compliance in which various sets of cross-sectional shapes are defined as discrete design variables are considered. The effectiveness of proposed approach is confirmed through various examples, and the characteristics of the optimal solutions are discussed.

关键词： second-order cone programming

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second-order cone programming formulation for consolidation analysis of saturated porous media

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COMPUTATIONAL MECHANICS 2016年第1期58卷 29-43页

作者： Zhang, Xue Sheng, Daichao Sloan, Scott W. Krabbenhoft, Kristian Univ Newcastle ARC Ctr Excellence Geotech Sci & Engn Newcastle NSW 2300 Australia

In this paper, the incremental problem for consolidation analysis of elastoplastic saturated porous media is formulated and solved using second-order cone programming. This is achieved by the application of the Hellinger-Reissner variational theorem, which casts the governing equations of Biot's consolidation theory as a min-max optimisation problem. The min-max problem is then discretised using the finite element method and converted into a standard second-order cone programming problem that can be solved efficiently using modern optimisation algorithms (such as the primal-dual interior-point method). The proposed computational formulation is verified against a number of benchmark examples and also applied to simulate the construction of a road embankment on soft clay.

关键词： Saturated porous media Consolidation second-order cone programming Mathematical programming

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Mixed-Integer second-order cone programming for Truss Topology Optimization with Self-Weight Load and Limitation on Number of Nodes

Mixed-Integer Second-Order Cone Programming for Truss Topolo...

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IEEE International Conference on Industrial Engineering and Engineering Management (IEEE IEEM)

作者： Kanno, Yoshihiro Tokyo Inst Technol Inst Innovat Res Lab Future Interdisciplinary Res Sci & Technol Yokohama Kanagawa Japan

ISBN: (纸本)9781538609484

Taking into account the self-weight load is crucial for designing large-scale truss structures. However, the self weight of a truss has been often ignored in Structural optimization, because of the difficulty stemming from its dependency on the truss design which itself is to be optimized. This paper presents a mixed-integer second-order cone programming approach to truss topology optimization under the self-weight load and the upper bound constraint on the number of nodes. The latter constraint is practically significant from the viewpoint of fabrication cost. It is also illustrated through the numerical experiments that the constraint on the number of nodes often yields a simple truss design, which is preferable from the viewpoint of manufacturability.

关键词： Optimal design truss structure mixed integer programming second-order cone programming global optimization

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Fast second-order cone programming for safe mission planning

Fast second-order cone programming for safe mission planning

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2017 IEEE International Conference on Robotics and Automation, ICRA 2017

作者： Zhong, Kai Jain, Prateek Kapoor, Ashish University of Texas at Austin United States MSR United States

ISBN: (纸本)9781509046331

This paper considers the problem of safe mission planning of dynamic systems operating under uncertain environments. Much of the prior work on achieving robust and safe control requires solving second-order cone programs (SOCP). Unfortunately, existing general purpose SOCP methods are often infeasible for real-time robotic tasks due to high memory and computational requirements imposed by existing general optimization methods. The key contribution of this paper is a fast and memory-efficient algorithm for SOCP that would enable robust and safe mission planning on-board robots in realtime. Our algorithm does not have any external dependency, can efficiently utilize warm start provided in safe planning settings, and in fact leads to significant speed up over standard optimization packages (like SDPT3) for even standard SOCP problems. For example, for a standard quadrotor problem, our method leads to speedup of 1000x over SDPT3 without any deterioration in the solution quality. Our method is based on two insights: a) SOCPs can be interpreted as optimizing a function over a polytope with infinite sides, b) a linear function can be efficiently optimized over this polytope. We combine the above observations with a novel utilization of Wolfe's algorithm [1] to obtain an efficient optimization method that can be easily implemented on small embedded devices. In addition to the above mentioned algorithm, we also design a two-level sensing method based on Gaussian Process for complex obstacles with non-linear boundaries such as a cylinder. © 2017 IEEE.

关键词： second-order cone programming

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Coordinated EV charging and reactive power optimization for radial distribution network using mixed integer second-order cone programming

Coordinated EV charging and reactive power optimization for ...

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2017 IEEE Transportation Electrification Conference and Expo, Asia-Pacific, ITEC Asia-Pacific 2017

作者： Li, Pengcheng Duan, Xiaoyu Yang, Jing Zhang, Qiuyan Zhao, Yuanliang Hu, Zechun Electric Power Research Institute of Guizhou Power Grid Co. Ltd Guizhou China Department of Electrical Engineering Tsinghua University Beijing China Guizhou Power Grid Co. Ltd Guizhou China

ISBN: (纸本)9781538628942

The increasing penetration of electric vehicles (EVs) will bring great challenges to the secure and economic operation of distribution networks. On the other hand, coordinated charging of EVs can alleviate the adverse impacts of charging loads and even increase the efficiency of distribution network operation. This paper aims at optimally scheduling the daily charging of EVs and the daily on/off switching of shunt capacitors to minimize the total active power losses. We formulate a mixed integer second-order cone programming (MI- SOCP) model for this scheduling problem considering the distribution network security constraints. Case study results show that coordinated charging of EVs with reactive power optimization can effectively reduce the active power losses and improve the nodal voltage profiles. © 2017 IEEE.

关键词： second-order cone programming

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Robust optimisation for AC-DC power flow based on second-order cone programming

Robust optimisation for AC-DC power flow based on second-ord...

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6th International Conference on Renewable Power Generation

作者： Zhou, Ye Tian, Yuan Wang, Keyou Ghandhari, Mehrdad Department of Electrical Engineering Shanghai Jiao Tong University China Department of Electric Power Systems KTH Royal Institute of Technology Sweden

This study presents an adjustable robust optimisation method for AC-DC optimal power flow (OPF) considering the uncertainty of renewable energy source (RESs). The optimal power flow of AC-DC system is modelled as a second-order cone (SOC) problem, and the affinely adjustable robust OPF (AAROPF) formulation is proposed. To apply AAROPF, the base-point generation is calculated and determined to match the power with forecasted RES output before the realisation of the uncertainty. Also once the uncertainty is revealed, generators reschedule its output through participation factors responding to the uncertain fluctuation of RES output to ensure a feasible solution for all realisations of RES output within a prescribed uncertainty set. Numerical results are obtained on a modified AC-DC IEEE 30-bus to minimise the expected operational cost. Results reveal a higher cost using AAROPF than the deterministic case, but it obtains a more robust solution with higher successful rates. © 2017 Institution of Engineering and Technology. All rights reserved.

关键词： second-order cone programming

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

Mixed-integer second-order cone programming taking appropria...

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6th International Conference on Renewable Power Generation

作者： Zhou, Bo Ai, Xiaomeng Fang, Jiakun Wen, Jingyu Yang, Jianhua State Key Laboratory of Advanced Electromagnetic Engineering and Technology Huazhong University of Science and Technology Wuhan China Department of Energy Technology Aalborg University Aalborg Denmark Central China Branch of State Grid Corporation of China Wuhan China

With the rapid development and deployment of voltage source converter based high-voltage direct current, the traditional power system is evolving to the hybrid AC–DC grid. New optimisation methods are urgently needed for these hybrid AC–DC power systems. In this study, mixed-integer second-order cone programming (MISOCP) for the hybrid AC–DC power systems is proposed. The second-order cone relaxation is adopted to transform the AC and DC power flow constraints to MISOCP. Several IEEE test systems are used to validate the proposed MISCOP formulation of the optimal power flow and unit commitment in the hybrid AC–DC power systems. © 2017 Institution of Engineering and Technology. All Rights Reserved.

关键词： second-order cone programming

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A Novel Time Delay Estimation Interpolation Algorithm Based on second-order cone programming

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IEICE TRANSACTIONS ON COMMUNICATIONS 2016年第6期E99B卷 1311-1317页

作者： Liu, Zhixin Hu, Dexiu Zhao, Yongjun Liu, Chengcheng Zhengzhou Inst Informat Sci & Technol Zhengzhou 86450002 Henan Peoples R China

Considering the obvious bias of the traditional interpolation method, a novel time delay estimation (TDE) interpolation method with sub-sample accuracy is presented in this paper. The proposed method uses a generalized extended approximation method to obtain the objection function. Then the optimized interpolation curve is generated by second-order cone programming (SOCP). Finally the optimal TDE can be obtained by interpolation curve. The delay estimate of proposed method is not forced to lie on discrete samples and the sample points need not to be on the interpolation curve. In the condition of the acceptable computation complexity, computer simulation results clearly indicate that the proposed method is less biased and outperforms the other interpolation algorithms in terms of estimation accuracy.

关键词： interpolation time delay estimation sub-sample accuracy objection function second-order cone programming

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