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研究生: Ramadhani Kurniawan Subroto
Ramadhani Kurniawan Subroto
論文名稱: 在未知時滯開關攻擊下仍能使電力系統穩定之改良型模型預測快速頻率控制
An Improved Model Predictive Fast Frequency Control for Stabilizing the Power Systems under Unknown Time-Delay Switch Attack
指導教授: 連國龍
Kuo-Lung Lian
口試委員: 蘇恆毅
Heng-Yi Su
張簡樂仁
Le-Ren Chang Chien
鄧人豪
Jen-Hao Teng
蘇健翔
Kin Cheoung Sou
劉添華
Tian-Hua Liu
學位類別: 博士
Doctor
系所名稱: 電資學院 - 電機工程系
Department of Electrical Engineering
論文出版年: 2021
畢業學年度: 109
語文別: 英文
論文頁數: 90
中文關鍵詞: energy storagefrequency regulationmodel predictive controlsequential state predictortime-delay estimationtime-delay switch attack
外文關鍵詞: energy storage, frequency regulation, model predictive control, sequential state predictor, time-delay estimation, time-delay switch attack
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  • This dissertation presents a novel model predictive control (MPC) for fast frequency control (FFC) in a power system aiming to optimally allocate the power of an energy storage system (ESS) and to effectively mitigate the unknown time-delay switch attack (TDSA) imbedded by adversaries via communication networks. As the penetration of renewable energy sources (RESs) to the power system is extensively deployed, the system inertia can be decreasing. These circumstances will cause the system frequency to be more susceptible to any slight contingencies. To improve the resilience of the power system interfaced by the power converters, the ESSs are utilized and being controlled in such a way that they have the capabilities of maintaining the frequency from any disruptions. FFC is a solution, which can address this problem. Nevertheless, since the ESSs are limited power resources, their specifications are included in the control design to obtain the feasible solutions so as to improve control performance. MPC has received great attention from scholars to be applied as FFC in power system since it is more beneficial than other control strategies in taking into account the input and output constraints. Furthermore, the modern power system enables an advanced communication infrastructure, letting the measured data from phasor measurement unit (PMU) and control commands from control center communicate over the networks. This possesses challenging problems, since the networks are more prone to generate the communication delay or other unknown source of time-delay, which is deliberately injected by adversaries to destabilize the power system. The situation becomes even worse when the unknown TDSA is excessively long and exceeds the critical time-delay, leading to power system instability. To overcome these problems, an improved MPC, synthesizing the super-twisting algorithm time-delay estimator (STA TDE) and sequential state predictor (SSP), is designed to accurately estimate and effectively counteract the unknown and random TDSA. Also, the proposed method is able to optimally allocate the ESS power within its specified limits. All presented case studies justify the effectiveness of the proposed method.


    This dissertation presents a novel model predictive control (MPC) for fast frequency control (FFC) in a power system aiming to optimally allocate the power of an energy storage system (ESS) and to effectively mitigate the unknown time-delay switch attack (TDSA) imbedded by adversaries via communication networks. As the penetration of renewable energy sources (RESs) to the power system is extensively deployed, the system inertia can be decreasing. These circumstances will cause the system frequency to be more susceptible to any slight contingencies. To improve the resilience of the power system interfaced by the power converters, the ESSs are utilized and being controlled in such a way that they have the capabilities of maintaining the frequency from any disruptions. FFC is a solution, which can address this problem. Nevertheless, since the ESSs are limited power resources, their specifications are included in the control design to obtain the feasible solutions so as to improve control performance. MPC has received great attention from scholars to be applied as FFC in power system since it is more beneficial than other control strategies in taking into account the input and output constraints. Furthermore, the modern power system enables an advanced communication infrastructure, letting the measured data from phasor measurement unit (PMU) and control commands from control center communicate over the networks. This possesses challenging problems, since the networks are more prone to generate the communication delay or other unknown source of time-delay, which is deliberately injected by adversaries to destabilize the power system. The situation becomes even worse when the unknown TDSA is excessively long and exceeds the critical time-delay, leading to power system instability. To overcome these problems, an improved MPC, synthesizing the super-twisting algorithm time-delay estimator (STA TDE) and sequential state predictor (SSP), is designed to accurately estimate and effectively counteract the unknown and random TDSA. Also, the proposed method is able to optimally allocate the ESS power within its specified limits. All presented case studies justify the effectiveness of the proposed method.

    Contents List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii List of Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .ix List of Abbreviations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . x List of Symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xii 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Literature Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Objective . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.4 Contributions of The Dissertation . . . . . . . . . . . . . . . . . . . . 8 1.5 Organization of The Dissertation . . . . . . . . . . . . . . . . . . . . 9 2 System Identification and Modeling . . . . . . . . . . . . . . . . . . . . . . 10 2.1 Onset Time and ISS Time Identification . . . . . . . . . . . . . . . . 10 2.2 Primary Frequency Response Identification and Modeling . . . . . . . 12 2.3 System Identification via Least Squares . . . . . . . . . . . . . . . . . 14 3 Model Predictive Fast Frequency Controller . . . . . . . . . . . . . . . . . 16 3.1 Fundamental of Laguerre function . . . . . . . . . . . . . . . . . . . . 17 3.2 Continuous-Time Model Predictive Control without Constraints . . . 20 3.2.1 Approximating the Trajectory of Control via Laguerre Functions 21 3.2.2 Expression of Predicted State Variables . . . . . . . . . . . . . 22 3.2.3 Optimization Problem Formulation in Continuous-Time Model Predictive Control . . . . . . . . . . . . . . . . . . . . . . . . 23 3.2.4 Embedding Observer to Avoid All State Variables Measurement 25 3.2.5 Receding Horizon Control . . . . . . . . . . . . . . . . . . . . 26 3.3 Continuous-Time Model Predictive Control with Constraints . . . . . 27 3.3.1 Rate of Power Limitation of Energy Storage . . . . . . . . . . 27 3.3.2 Power Limitation of Energy Storage . . . . . . . . . . . . . . . 28 3.3.3 Frequency Limitation . . . . . . . . . . . . . . . . . . . . . . . 29 3.3.4 Optimization Problem for Continuous-Time Model Predictive Control with Constraints . . . . . . . . . . . . . . . . . . . . . 30 3.3.5 Hildreth's Quadratic Programming . . . . . . . . . . . . . . . 30 4 Time-Delay Switch Attacks on Fast Frequency Control . . . . . . . . . . . 33 4.1 The Effect of Time-Delay Switch Attack on System Stability . . . . . 33 4.1.1 System Stability under Time-Delay . . . . . . . . . . . . . . . 35 4.2 Compensating The Known Time-Delay via Sequential State Predictor 43 4.2.1 Sequential State Predictor . . . . . . . . . . . . . . . . . . . . 45 4.3 Time-Delay Estimator for Estimating Unknown Time-Delay . . . . . 51 4.4 The Proposed Method for Compensating Time-Delay Switch Attack . 54 5 Case Studies and Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 5.1 Parameter Identification and Determination for Taiwan Power System 59 5.1.1 Parametric Identification of Aggregated Taiwan Power System 59 5.1.2 Controller Parameters . . . . . . . . . . . . . . . . . . . . . . 61 5.1.3 System uncertainties affect the critical time-delay . . . . . . . 64 5.2 Case 1: Robustness under Constant Time-Delay Switch Attack . . . . 64 5.3 Case 2: Robustness under Random Time-Delay Switch Attack . . . . 66 5.4 Case 3: Robustness under Parameter Variations and Constant Time-Delay Switch Attack . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 5.5 Case 4: Robustness under Parameter Variations and Random Time-Delay Switch Attack . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 6.1 Significance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 6.2 Future study . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 REFERENCE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82

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