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Coordinated Dispatch Optimization between the Main Grid and Virtual Power Plants Based on multi-parametric quadratic programming

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ENERGIES 2023年第15期16卷 5593页

作者： Yang, Guixing Xu, Mingze Wang, Weiqing Lei, Shunbo Xinjiang Univ Urumqi 830000 Peoples R China Chinese Univ Hong Kong Shenzhen Shenzhen 518000 Peoples R China

Virtual power plants (VPPs) are a critical technology for distribution systems that can integrate various renewable energy resourcescontrollable loads and energy storage systems into one specific power plant through a distributed energy management system. This paper proposes a coordinated dispatch optimization model between the main grid and VPPs aiming to minimize both the power generation cost and total system active loss. When the time of the equivalent dispatching model is not divisible due to the existence of a time coupling constraint inside the VPPs, this model can obtain the global optimal solution through iteration between the main grid and the VPPs. By employing multi-parametric quadratic programming to obtain accurate critical domains and optimal cost functions, the convergence speed and stability are significantly improved. Additionally, a reactive power and voltage optimization technique leveraging the generalized Benders decomposition is presented for the coordination of the main grid and the VPPs. Moreover, the impact of distributed energy resource (DER) clusters on the main grid was studied, from which we proved that the proposed approach can expeditiously abate energy production expenditure and system active dissipation whilst enhancing the system equilibrium.

关键词： virtual power plants coordinated dispatch multi-parametric quadratic programming generalized Benders' decomposition

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Stabilizing model predictive control scheme for piecewise affine systems with maximal positively invariant terminal set

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Journal of Systems Engineering and Electronics 2010年第6期21卷 1090-1094页

作者： Fu Chen Guangzhou Zhao Xiaoming Yu College of System Science and Engineering Zhejiang University Hangzhou 310027 P. R. China Key Laboratory of Tobacco Processing Technology Zhengzhou Tobacco Research Institute of CNTC Zhengzhou 450001 P. R. China

An efficient algorithm is proposed for computing the solution to the constrained finite time optimal control （CFTOC） problem for discrete-time piecewise affine （PWA） systems with a quadratic performance index. The maximal positively invariant terminal set, which is feasible and invariant with respect to a feedback control law, is computed as terminal target set and an associated Lyapunov function is chosen as terminal cost. The combination of these two components guarantees constraint satisfaction and closed-loop stability for all time. The proposed algorithm combines a dynamic programming strategy with a multi-parametric quadratic programming solver and basic polyhedral manipulation. A numerical example shows that a larger stabilizable set of states can be obtained by the proposed algorithm than precious work.

关键词： constrained optimal predictive control multi-parametric quadratic programming dynamic programming receding horizon control positively invariant set.

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Coordinated Optimal Power Flow for Integrated Active Distribution Network and Virtual Power Plants Using Decentralized Algorithm

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IEEE TRANSACTIONS ON POWER SYSTEMS 2021年第4期36卷 3541-3551页

作者： Wu, Chenyu Gu, Wei Zhou, Suyang Chen, Xiaogang Southeast Univ Sch Elect Engn Nanjing 210096 Peoples R China State Grid Zhejiang Elect Power Co Hangzhou 310007 Peoples R China

With the wide application of distributed energy technology in active distribution networks (ADNs), virtual power plants (VPPs) are introduced as a promising integration and management technology. To coordinate their operation schedule and ensure confidentiality, we establish a coordinated optimal power flow (OPF) model and propose an efficient decentralized algorithm based on multi-parametric quadratic programming and Benders decomposition. In feasible sub-problems, the quadratic exchanging functions are built, which greatly accelerates the convergence process. In infeasible sub-problems, feasible cut sets can be calculated based on benders decomposition. Besides, an effective relaxation method is developed to address the degeneracy problem. To eliminate redundant feasible cut sets, a predetermined feasible region is constructed according to the characteristics of each VPP. The effectiveness of the proposed method is demonstrated via numerical tests using two cases of different scales. The results show that the proposed method converges much faster than some prevailing methods. Furthermore, the coordinated OPF has a better fuel economy than the conventional OPF scheme.

关键词： Generators Load flow Manganese Economics Reactive power Convergence Security Active distribution network coordinated optimal power flow multi-parametric quadratic programming virtual power plant

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Design of Line-of-Sight Guidance Law and a Constrained Optimal Controller for an Autonomous Underwater Vehicle

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IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS 2021年第1期68卷 416-420页

作者： Rout, Raja Subudhi, Bidyadhar Manipal Univ Jaipur Dept Mechatron Engn Jaipur 303007 Rajasthan India Indian Inst Technol Goa Sch Elect Sci Ponda 403401 Goa India

A line-of-sight (LOS) guidance law with an explicit model predictive control (MPC) is proposed for an underactuated autonomous underwater vehicle (AUV). The derived LOS law is based on quaternion angles thus avoids the problem of singularity inherited in Euler angles. The proposed guidance and control scheme is computationally inexpensive and generates a robust optimal control signal for AUV dynamics. In view of the practical implementation, the constraints on control planes and parametric uncertainties are taken into consideration while designing the proposed control law. The effectiveness of the proposed controller is verified by both simulation and experimentation using a prototype AUV developed in the laboratory. Subsequently, multiple experiments were conducted to ascertain the applicability of the proposed algorithm in a practical scenario.

关键词： Vehicle dynamics Kinematics Power system dynamics Dynamics Mathematical model Quaternions Circuits and systems Autonomous underwater vehicle actuator constraints multi-parametric quadratic programming model predictive controller

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Explicit model predictive control of gas-liquid separation plant via orthogonal search tree partitioning

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COMPUTERS & CHEMICAL ENGINEERING 2004年第12期28卷 2481-2491页

作者： Grancharova, A Johansen, TA Kocijan, J Norwegian Univ Sci & Technol Dept Engn Cybernet N-7491 Trondheim Norway Jozef Stefan Inst Dept Syst & Control Ljubljana 1000 Slovenia Nova Garcia Polytech Nova Garcia 5000 Slovenia

Solutions to constrained linear model predictive control (MPC) problems can be pre-computed off-line in an explicit form as a piecewise linear (PWL) state feedback defined on a polyhedral partition of the state space. This admits implementation at high sampling frequencies in real-time systems with high reliability and low software complexity. Recently, algorithms that determine an approximate explicit PWL state feedback solution by imposing an orthogonal search tree structure on the partition, have been developed, and it has been shown that they may offer computational advantages. This paper considers the application of an approximate approach to the design of an explicit model predictive controller for a two-input two-output laboratory gas-liquid separation plant, including experimental evaluation. The approximate explicit MPC controller achieves performance close to that of the conventional MPC, but requires only a fraction of the real-time computational machinery, thus leading to fast and reliable computations. (C) 2004 Elsevier Ltd. All rights reserved.

关键词： constrained linear model predictive control multi-parametric quadratic programming gas-liquid separator

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Explicit approaches to constrained model predictive control: A survey

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MODELING IDENTIFICATION AND CONTROL 2004年第3期25卷 131-157页

作者： Grancharova, A Johansen, TA Norwegian Univ Sci & Technol Dept Engn Cybernet N-7491 Trondheim Norway Bulgarian Acad Sci Inst Control & Syst Res BU-1113 Sofia Bulgaria

This paper presents a review of the explicit approaches to constrained model predictive control. The main motivation behind the explicit solution is that it avoids the need for real-time optimization, and thus allows implementation at high sampling frequencies in real-time systems with high reliability and low software complexity. The paper is organized as follows. Section I includes formulation of the constrained linear quadratic regulation (LQR) problem, summary of the implicit approaches, and the basics of the model predictive control (MPC). Sections 2 and 3 consider respectively the exact and the approximate approaches to explicit solution of constrained MPC problems, together with several examples.

关键词： model predictive control constraints multi-parametric quadratic programming piecewise linear controllers

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Efficient suboptimal parametric solutions to predictive control for PLC applications

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CONTROL ENGINEERING PRACTICE 2011年第7期19卷 732-743页

作者： Valencia-Palomo, G. Rossiter, J. A. Inst Tecnol Hermosillo Mexico City 83170 DF Mexico Univ Sheffield Dept Automat Control & Syst Engn Sheffield S1 3JD S Yorkshire England

The prime aim of this paper is to embed a predictive control (MPC) algorithm with constraint handling capabilities into a programmable logic controller (PLC). In order to achieve it, this paper develops parametric approaches to MPC but differs from more conventional approaches in that it predefines the complexity of the solution rather than the allowable suboptimality. The paper proposes a novel parameterisation of the parametric regions which allows efficiency of definition, effective spanning of the feasible region and also highly efficient search algorithms. Despite the suboptimality, the algorithm retains guaranteed stability, in the nominal case. A laboratory test was carried out to demonstrate the code on real hardware and the effectiveness of the solution. (C) 2011 Elsevier Ltd. All rights reserved.

关键词： Predictive control multi-parametric quadratic programming PLC

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On-line optimization via off-line parametric optimization tools

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COMPUTERS & CHEMICAL ENGINEERING 2002年第2期26卷 175-185页

作者： Pistikopoulos, EN Dua, V Bozinis, NA Bemporad, A Morari, M Univ London Imperial Coll Sci & Technol Ctr Process Syst Engn Dept Chem Engn London SW7 2BY England ETH Zentrum Automat Control Lab CH-8092 Zurich Switzerland

In this paper, model predictive control (MPC) based optimization problems with a quadratic performance criterion and linear constraints are formulated as multi-parametric quadratic programs (mp-QP), where the input and state variables, corresponding to a plant model, are treated as optimization variables and parameters, respectively. The solution of such problems is given by (i) a complete set of profiles of all the optimal inputs to the plant as a function of state variables, and (ii) the regions in the space of state variables where these functions remain optimal. It is shown that these profiles are linear and the corresponding regions are described by linear inequalities. An algorithm for obtaining these profiles and corresponding regions of optimality is also presented. The key feature of the proposed approach is that the on-line optimization problem is solved off-line via parametric programming techniques. Hence (i) no optimization solver is called on-line, and (ii) only simple function evaluations are required, to obtain the optimal inputs to the plant for the current state of the plant. (C) 2002 Elsevier Science Ltd. All rights reserved.

关键词： real-time optimization model predictive control multi-parametric quadratic programming

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A reference governor in a piecewise state affine function: The implementation and validation

A reference governor in a piecewise state affine function: T...

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SICE 2003 Annual Conference

作者： Kogiso, K Hirata, K Osaka Univ Suita Osaka 5650871 Japan

ISBN: (纸本)0780383524

This paper proposes a reference management technique of an original reference for closed-loop systems with state and control constraints. The management rule is represented in the form of a piecewise state affine function obtained from an explicit solution to a multi-parametric quadratic programming problem which explicitly considers not only a constraint fulfillment but also a tracking performance. Furthermore, effectiveness of the proposed approach is shown by simulation. It is more important to also perform the experimental evaluation to demonstrate its effectiveness using a, real position servomechanism.

关键词： reference governor systems with state and control constraint multi-parametric quadratic programming tracking control

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On-line optimization via off-line parametric optimization tools

On-line optimization via off-line parametric optimization to...

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7th International Symposium on Process Systems Engineering

关键词： real-time optimization model predictive control multi-parametric quadratic programming

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