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Cloud Computing and Local Chip-Based Dynamic Economic Dispatch for Microgrids

IEEE TRANSACTIONS ON SMART GRID 2020年第5期11卷 3774-3784页

作者： Wang, Siyuan Wang, Xuanding Wu, Wenchuan Tsinghua Univ Dept Elect Engn State Key Lab Power Syst Beijing 100084 Peoples R China Guangdong Power Exchange Ctr Guangzhou 510080 Peoples R China

Dynamic economic dispatch in microgrids is usually realized in a centralized energy management system (EMS). However, centralized systems are subject to single-point failure problems. In rural areas and islands, a failed EMS cannot be recovered in a timely manner due to lack of technical support. In this paper, we propose a cloud and edge computing-based framework to realize dynamic economic dispatch, which is conducted on a local Digital Signal Processor (DSP) chip and a remote cloud computing platform (CCP). Based on the multi-parametric programming algorithm, the dispatch process is divided into two parts: offline calculation and real-time decision making. These calculation tasks can be conducted on the remote cloud computing platform and the DSP chip of the inverter in an arbitrary renewable generator, respectively. The tests are carried out on the Amazon Web Service (AWS) EC2 instance and an autonomous microgrid with DSP TMS320F28335 chip. The results show that the proposed method can obtain the same results as the conventional method, with significantly improved reliability.

关键词： Microgrids Economics Cloud computing Inverters Energy management Power generation Real-time systems Microgrid multi-parametric programming economic dispatch cloud and edge computing

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RESEARCH ON VIRTUAL POWER PLANT SCHEDULING BOUNDARY CONSIDERING MAXIMUM ACCESS CAPACITY OF RENEWABLE ENERGY

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电机工程学刊 2022年第3期29卷 53-71页

作者： Xiaoou Liu

Virtual power plant (VPP) can integrate distributed renewable energy to participate in power grid dispatching and explore the value of distributed renewable energy. With the rapid development of distributed renewable energy, the key to ensure the safe operation of VPP is to accurately calculate its dispatching boundary, which needs to consider the access capacity and uncertainty of renewable energy. Therefore, this paper proposes a calculation method of scheduling boundary probability distribution of VPP considering the maximum access capacity of renewable energy. Firstly, the similarity measurement method is used to analyze the relationship between renewable energy characteristics and access capacity, the characteristic similarity index between renewable energy equipment and load is proposed, and a two-stage access capacity evaluation model aiming at the optimal similarity and the capacity of renewable energy utilization is established. Based on the maximum access capacity evaluation of renewable energy and the theory of multi- parametric programming, the piecewise affine mapping between VPP access point power and renewable energy power is studied to calculate the cumulative distribution function of the VPP scheduling boundary. Furthermore, a key random variable identification method based on line shift distribution factor is proposed to realize the rapid calculation of VPP dispatching boundary, which is applied to the collaborative optimal scheduling of virtual power plant and power grid. Finally, an example is given to verify the effectiveness and accuracy of the proposed method, which can provide guidance for collaborative optimal scheduling of virtual power plant and power grid under the background of carbon peaking and carbon neutrality.

关键词： renewable energy virtual power plant access capacity multi-parametric programming economic dispatch

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Integrated process design, scheduling, and control using multiparametric programming

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COMPUTERS & CHEMICAL ENGINEERING 2019年 125卷 164-184页

作者： Burnak, Baris Diangelakis, Nikolaos A. Katz, Justin Pistikopoulos, Efstratios N. Texas A&M Univ Artie McFerrin Dept Chem Engn College Stn TX 77845 USA Texas A&M Univ Texas A&M Energy Inst College Stn TX 77845 USA

A unified theory and framework for the integration of process design, control, and scheduling based on a single high fidelity model is presented. The framework features (i) a mixed-integer dynamic optimization (MIDO) formulation with design, scheduling, and control considerations, and (ii) a multiparametric optimization strategy for the derivation of offline/explicit maps of optimal receding horizon policies. Explicit model predictive control schemes are developed as a function of design and scheduling decisions, and similarly design dependent scheduling policies are derived accounting for the closed-loop dynamics. Inherent multi-scale gap issues are addressed by an offline design dependent surrogate model. The proposed framwork is illustrated by two example problems, a system of two continuous stirred tank reactor, and a small residential combined heat and power (CHP) network. (C) 2019 Elsevier Ltd. All rights reserved.

关键词： Enterprise-wide optimization Integration multi-parametric programming Process scheduling Model predictive control Process design

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A coordinated scheme for transmission and distribution expansion planning: A Tri-level approach

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ELECTRIC POWER SYSTEMS RESEARCH 2021年 196卷

作者： El-Meligy, Mohammed A. Sharaf, Mohamed Soliman, Ahmed T. King Saud Univ Adv Mfg Inst Riyadh 11421 Saudi Arabia King Saud Univ Coll Engn Ind Engn Dept POB 800 Riyadh 11421 Saudi Arabia

In traditional power system planning problems, transmission and distribution networks are separated, which is not suitable for future power systems due to the rapid development of active distribution networks. This paper presents a hierarchy framework to optimize the transmission and distribution network expansion in a simultaneous manner. The proposed decentralized decision-making architecture forms a Tri-level structure where the first level is the transmission expansion planning (TEP) problem solved by the transmission system operator (TSO) as the leader, while the second level is the distribution expansion planning (DEP) problem solved by the distribution system operators (DSOs) as the second level followers. The third level problem is the optimal economic dispatch problem solved by the independent system operator (ISO) as the third level follower. The economic dispatch problem is replaced by its primal-dual (PD) formulation leading to a bilevel multi-follower mixed-integer linear programming (BMF-MILP) problem. Then, by using multi-parametric programming (MPP) method, the BMF-MILP problem is recast as several single level independent optimization problems. Numerical experiments are shown to corroborate the efficiency and tractability of the presented model. The results show the new coordinated transmission and distribution expansion planning (CTDEP) model provides additional flexibility and reduces the total cost.

关键词： Bilevel multi-follower optimization Coordinated planning Distribution expansion planning Transmission expansion planning multi-parametric programming Primal-dual formulation

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An improved algorithm for combinatorial multi-parametric quadratic programming

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AUTOMATICA 2013年第5期49卷 1370-1376页

作者： Feller, Christian Johansen, Tor Arne Olaru, Sorin Univ Stuttgart Inst Syst Theory & Automat Control D-70550 Stuttgart Germany NTNU Dept Engn Cybernet N-7491 Trondheim Norway SUPELEC Syst Sci E3S Automat Control Dept F-91192 Gif Sur Yvette France

The goal of multi-parametric quadratic programming (mpQP) is to compute analytic solutions to parameter-dependent constrained optimization problems, e.g., in the context of explicit linear MPC. We propose an improved combinatorial mpQP algorithm that is based on implicit enumeration of all possible optimal active sets and a simple saturation matrix pruning criterion which uses geometric properties of the constraint polyhedron for excluding infeasible candidate active sets. In addition, techniques are presented that allow to reduce the complexity of the discussed algorithm in the presence of symmetric problem constraints. Performance improvements are discussed for two example problems from the area of explicit linear MPC. (c) 2013 Elsevier Ltd. All rights reserved.

关键词： multi-parametric programming Explicit constrained linear quadratic regulators Predictive control

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Simultaneous design & control of a reactive distillation system - A parametric optimization & control approach

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CHEMICAL ENGINEERING SCIENCE 2021年 230卷

作者： Tian, Yuhe Pappas, Iosif Burnak, Baris Katz, Justin Pistikopoulos, Efstratios N. Texas A&M Univ Artie McFerrin Dept Chem Engn College Stn TX 77843 USA Texas A&M Univ Texas A&M Energy Inst College Stn TX 77843 USA

We present a detailed dynamic model for a reactive distillation system, based on which we develop design-dependent explicit optimal control strategies. A mixed-integer dynamic optimization formulation is then proposed integrating design, control and operational components, the solution of which allows us to derive explicit closed-loop strategies that maintain stable and operable conditions in the presence of process disturbances. The simultaneous approach is illustrated with the design of a methyl tert-butyl ether reactive distillation system example as a part of the developed model library in the RAPID SYNOPSIS project. (C) 2020 Elsevier Ltd. All rights reserved.

关键词： Reactive distillation Simultaneous design and control multi-parametric programming Explicit model predictive control Mixed-integer dynamic optimization

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Conventional and Explicit Approaches for Simultaneous Moving Horizon Estimation and Model Predictive Control: A Comparative Evaluation 6

Conventional and Explicit Approaches for Simultaneous Moving...

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6th Conference on Advances in Control and Optimization of Dynamical Systems (ACODS)

作者： Thosar, Devavrat Mukherjee, Tathagata Gilbile, Pravin Bhushan, Mani Indian Inst Technol Dept Chem Engn Mumbai Maharashtra India

Model Predictive Control (MPC) has been applied across a wide range of engineering applications including process industries. MPC requires complete knowledge of states at the current instant which can either be measured directly or estimated using a state estimator. Of late, Moving Horizon Estimation (MHE) has been widely used as a state estimator owing to its ability to handle constraints. Both MPC and MHE involve solving an optimization problem at each sampling instant which can prove computationally burdensome for fast systems. multiparametric programming based explicit approaches have been proposed in literature as a possible approach for solving the online optimization problems in a computationally efficient manner. In the current work, feasibility of the explicit approaches simultaneously for both MPC and MHE is investigated using simulation as well as experimental studies on a quadruple tank setup. The computational efforts required for this simultaneous implementation of the explicit approaches for MPC and MHE are compared with the conventional optimization approach. Results indicate feasibility of multi-parametric implementation for lower horizon lengths. (C) 2020, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Model Predictive Control Moving Horizon Estimation multi-parametric programming Explicit MPC

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Dynamic programming for scalable just-in-time economic dispatch with non-convex constraints and anytime participation

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INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS 2020年 123卷

作者： Kim, Jinsung Kim, Kwang-Ki K. Inha Univ Dept Elect Engn Incheon 22212 South Korea

This paper considers two classes of dynamic programming frameworks for economic dispatch in power systems. The first framework is of classical continuous convex economic dispatch. We present recursive formulae for computing the parameters of value functions and show that the value functions are generalized quadratic and generalized piecewise quadratic for unconstrained and generation-capacity constrained convex economic dispatch, respectively. The second framework is of discrete dynamic programming for economic dispatch with non-convex cost functions and constraints. The discrete dynamic programming framework is computationally scalable and decentralized. The computations of the value table are scalable in the sense that any newcomers and seceders of generation units can be numerically efficiently taken care of, by not re doing the entire backward induction process but only computing the value tables of the successors. Extension of the discrete dynamic programming framework to dynamic economic dispatch with ramp constraints is also presented. We demonstrate the proposed algorithms by three numerical case studies. One is for non-convex economic dispatch with 15 generation units and prohibited operating zones. Another example of a larger scale system of 53 units with consideration of transmission losses is also studied. For a dynamic case, the proposed method is applied to a dynamic economic dispatch problem with non-convex ramp constraints.

关键词： Smart grid Distributed generation Real-time dispatch Economic dispatch Unit commitment Non-convex optimization Operating prohibited zones multi-parametric programming Dynamic programming

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Some Necessary and Sufficient Conditions for Correctness of Linear Machine in Presence of Numerical Errors 21st

Some Necessary and Sufficient Conditions for Correctness of ...

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21st IFAC World Congress on Automatic Control - Meeting Societal Challenges

作者： Sharma, Aditi Bhushan, Mani Indian Inst Technol Dept Chem Engn Bombay Maharashtra India

Linear machine (LM) has been recently proposed (Airan et al., 2017) for solving the point location problem which arises in explicit model predictive control (e-MPC). LM associates a linear discriminant function with each critical region identified in the offline phase in e-MPC. The solution to the online point location problem in the LM approach then simply corresponds to the region whose discriminant function attains the largest value amongst all the discriminant functions. LM involves two steps: (i) identification of neighbouring critical regions, and (ii) finding the discriminant functions by writing constraints involving discriminant functions of neighbouring pairs of regions. Both these steps involve solving linear programming (LP) problems. Similar to any other optimization problem, the constraints of the LP are satisfied with some tolerances. Even though theoretically sound, the resulting LM may not accurately identify the critical region due to the numerical errors arising from these tolerances. In the current work, we identify some conditions which can be used as an aid by the user to judge the accuracy of LM results. In particular, we give a necessary condition for step (i) whose violation will yield incorrect misclassification for some point location problems. We also propose a sufficient condition whose satisfaction guarantees the accuracy of linear machine solution despite numerical errors which may have crept in during step (ii) of the LM design. This condition needs to be evaluated for each specified point during the point location phase. We illustrate thee ideas on the well known quadruple tank system. Copyright (C) 2020 The Authors.

关键词： point location explicit model predictive control multi-parametric programming

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Properties of Tie-Line Power Transfer Region in Interconnected Power Networks 5

Properties of Tie-Line Power Transfer Region in Interconnect...

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5th Asia Conference on Power and Electrical Engineering (ACPEE)

作者： Li, Linwei Lin, Wei Yang, Zhifang Yu, Juan Chongqing Univ Coll Elect Engn Chongqing Peoples R China

ISBN: (数字)9781728152813

ISBN: (纸本)9781728152813

Tie-line power exchanges play an important role in promoting the optimal utilization of power resources in interconnected power networks. An accurate description of a tie-line power transfer region guarantees the optimality and security of system operations. This paper proposes a unified method based on multi-parametric programming to capture an exact tie-line power transfer region in interconnected power networks. Different types of tie lines, including AC tie lines, DC tie lines and mixed AC-DC tie lines, can be incorporated. Furthermore, the properties of the tie-line power transfer region is analyzed. The impacts of the tie-line types and the electrical distance on the tie-line power transfer region are discussed.

关键词： Tie-line power transfer capacity region multi-parametric programming hybrid tie-lines

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