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Preface; Acknowledgements; Contents; List of Figures; List of Tables; List of Abbreviations; Chapter 1: Introduction; 1.1 Objectives of the Book; 1.1.1 Objective #1. Formulate a Mathematical Model for the Smart-Grid Resource-Allocation Problem; 1.1.2 Objective #2. Design, Develop, and Implement a Distributed Solution Procedure for the Mathematical Model; 1.1.3 Objective #3. Develop an Experimental Design for Testing the Procedure Referenced in Objective 2; 1.1.4 Objective #4. Conduct the Experimental Testing Referenced in Objective 3

1.1.5 Objective # 5. Develop Decision Models Using Linear Classifier, and Placement of Synchro phasors Using LP1.1.6 Objective # 6. Integrating Wind Source to Smart Grid Decision Using Linear Programming, and Modeling Capacitated Resourc...; Chapter 2: Literature Review; 2.1 Linear Programming in Practice; 2.2 Development of a Distributed Linear-Programming Model; Chapter 3: Energy Reallocation in a Smart Grid; 3.1 Introduction; 3.2 Problem Statement; 3.3 Physical Infrastructure Issues; 3.3.1 Distributed-Device Control Functions; 3.3.2 Selective Load Control; 3.4 Micro-Grid Islanding

3.5 Distributed Pathway Control3.6 Smart-Grid Modeling; 3.7 Integer Linear-Programming Models; 3.8 Notation; 3.9 Uncertainty in Resource Allocation; 3.10 Smart-Grid Simulation; 3.11 Conclusions; Chapter 4: Resource Allocation Using Branch and Bound; 4.1 Distributed Energy Resources in a Smart Grid; 4.2 Related Work; 4.3 Assigning DER to RUA Formulation; 4.4 DER Capacities; 4.5 RUA Preferences; 4.5.1 Case 1; 4.6 Constraints; 4.7 Branch-and-Bound (BB) Strategy; 4.8 Results; 4.8.1 Case 1; 4.8.2 Case 2; 4.9 Conclusions; Chapter 5: Resource Allocation Using DW Decomposition; 5.1 Why Decompose?

5.2 Objective Function and Illustration of the DW Algorithm5.3 LP Formulation of the IEEE 14-BUS System; 5.3.1 Region 1 Constraints; 5.3.1.1 Objective for Region 1 (ZLOSS); 5.3.1.2 Node 1; 5.3.1.3 Node 2; 5.3.1.4 Node 3; 5.3.1.5 Node 4; 5.3.1.6 Node 5; 5.3.1.7 Joint-Capacity Constraints for Region 3; 5.3.1.8 Other Constraints; 5.3.2 Region 3 Constraints (Nodes 6, 12, and 13); 5.3.2.1 Objective for Region 3 (ZLOSS); 5.3.2.2 Node 12; 5.3.2.3 Node 13; 5.3.2.4 Node 6; 5.3.2.5 Joint-Capacity Constraints for Region 3; 5.3.2.6 Other Constraints; 5.3.3 Region 2 Constraints

5.3.3.1 Objective for Region 2 (ZLOSS)5.3.3.2 Node 7; 5.3.3.3 Node 8; 5.3.3.4 Node 9; 5.3.3.5 Node 10; 5.3.3.6 Node 11; 5.3.3.7 Node 14; 5.3.3.8 Joint-Capacity Constraints for Region 2; 5.3.3.9 Other Constraints; 5.3.4 Master Constraints (Linking Constraints); 5.4 Decomposing the IEEE 14-Bus System into Two Regions; 5.4.1 R2 Node Constraint in Region 1; 5.4.2 R1 Node Constraint in Region 1; 5.5 Formulating the IEEE 30-Bus Systemś Constraints; 5.5.1 Nodal Constraints for Region 1; 5.5.1.1 Node 1; 5.5.1.2 Node 2; 5.5.1.3 Node 3; 5.5.1.4 Node 4; 5.5.1.5 Node 12; 5.5.1.6 Node 13; 5.5.1.7 Node 14

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