The Study For The Equilibrium Models Of The Electricity Market And Its Related Algorithms

The electricity market is an oligopolic market, and in this imperfect electricity market, GenCos, who face huge risk due to the fluctuation of electricity price, need the effective market simulation tool desperately to help them make correct decision to earn more profit; at the same time, the market regulator also need a reasonable market simulation tool to provide scientific basis for their regulation behaviors. Therefore, many equilibrium models for the oligopolistic electricity market, based on the game theory, are put forward successively. This dissertation does several research works in the field of electricity equilibrium model and its related algorithms.1. A new approach, adopting the branch and bound technique, is proposed in this thesis to compute the equilibrium point of the linear supply function equilibrium model in presence of transmission constraints. This approach deals with the complementarity slack constraints by branching and pruning, and can verify all the slack sub-modes by computing a few sub-optimization problems. As illustrated by the test cases, the proposed method has good search performance, and provides an efficient way to compute the big-scale equilibrium models for oligopolistic electricity market.2. An oligopolistic electricity market equilibrium model, considering the energy saving and emission cutting constraints, is established in this thesis. As illustrated by the test cases, in the oligopolistic environment, the GenCos with high energy-consumption rate and high emission rate often reduce their bidding prices to obtain more revenues, while the GenCos with low energy rates and low emission rates often increase the bidding prices. Besides, in the multi-periods scenario, the energy consumption amount (or emission amount) often shift from the valley load periods to the peak load periods.3. A new equilibrium model for the electricity market, which includes the pumped storage units, is established in this thesis. This model models the pumped storage units as loads and generators in the storage period and generation period, respectively. The study shows that the PSU can reduce the energy prices during the peak load periods and improve the market performance. In the oligopolistic environment, it is indefinite whether pumped storage GenCo's profit will be larger than that in the competitive environment, which mostly depends on the increasement of its own effciciency.4. An equilibrium model for the multi-periods hydro-thermal electricity market, in which the strategic behaviors are simulated by the conjectured supply function, is proposed in this thesis. This model simulately takes account of the transmission limit constraints, the ramp rate constraints and the water consumption constraints of the hydro unit. As illustrated by the test cases, in the oligopolistic environment, the hydro GenCo can obtain more profit in the manner of increasing the outputs in off-peak periods and decreasing the outputs in peak periods.5. An equilibrium model for the integrated energy-reserve electricity market with regional SR constraints is proposed in this thesis. In this model, the regional spinning reserve requirement is met with both the locational generation resources and the unused transmission capacity of the corresponding tie line interface. As illustrated by the test cases, the reginonal reserve price of reserve-shortage region is usually lower than that in the perfect environment, and the GenCos loacated in the reserve-shortage area can obtain more profits by increasing their energy outputs.6. An equilibrium model for the hybrid transmission right market, adopting the conjectured price function, is proposed in this thesis. This model is converted into a convex quadratic programming problem, which can not only ensure the existence and the uniqueness of the solution but also make the proposed model applicable for the study of the bidding strategy in a large scale transmission right market.7. This thesis introduces the complex-network-theory based simulation method for the bilateral electricity market, and proves the covergency property of this method; in addition, some other important conclusions are also derived in this thesis, such as that any financial network owing the same market clearing result as the Pool model is an equilibrium financial network.