List of Figures

0.1 Analogy between a power system and a market system.

0.2 Illustration of Lagrangian relaxation.

1.1 Typical load duration curve.

1.2 Block bidding and continuous bidding curves.

2.1 Multi-level hierarchical power systems.

2.2 Process of coordination.

2.3 Static hierarchy of large-scale systems.

2.4 A general subsystem representation of the large-scale systems.

2.5 The representation of the overall large-scale system.

2.6 Diagram of a two-level nonfeasible decomposition-coordination.

2.7 Diagram of a two-level feasible decomposition-coordination.

2.8 Framework of cooperative coevolutionary model.

2.9 Aggregated supply curve with capacity constraint.

3.1 Existence of equilibrium.

3.2 The revelation principle.

3.3 Network of types.

3.4 Framework of Lagrangian relaxation algorithm.

4.1 The framework of JASP.

4.2 The framework of the Lagrangian relaxation method.

4.3 A single hydroelectric generator unit under peak load condition.

4.4 Procedure to determine the loading position of a hydroelectric generating unit.

4.5 Planning solutions of six-bus system, in case 1.

4.6 System structure of case 2.

4.7 Optimal expanding procedure of case 2.

4.8 Average convergence curve of case 2.

4.9 Five types of OPCs.

4.10 Original six-node Garver system.

4.11 Ordered performance curve for rough estimation.

4.12 Ordered performance curve for the Garver system.

4.13 Standardized error distribution for N = 1000 sample.

4.14 Flowchart of hybrid intelligent algorithm.

4.15 Diagram ...

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