基于单纯形优化算法的电力现货市场\\出清及定价的几何模型研究

In recent years, the construction of China's electricity spot market has been rapidly promoted, and many spot markets have entered formal operation, achieving a large number of practical results. At the same time as the rapid development of the spot market, there are still some problems in the theoretical level of the basic algorithm model of the electricity spot market that need to be further sorted and improved. The most prominent problem is that the current clearing and pricing model analysis is generally based on the Lagrangian multiplier method, but the Lagrangian multiplier method cannot be applied to linearized market models. The algorithm research based on the simplex method used in practice has not received sufficient attention, resulting in incomplete model and algorithm analysis, disconnection between engineering practice terminology and mathematical algorithm concepts, and insufficient clarification of pricing geometric concepts. These fundamental algorithmic issues, reflected in engineering practice, can cause operational decision-making and pricing difficulties in some special system situations, while also posing significant learning and application barriers for practitioners in the electricity spot market. In response to these important issues at the level of basic mathematical algorithms, starting from the study of mathematical modeling principles for spot electricity, a new geometric model analysis method based on the strict concept of simplex algorithm is proposed. For the first time, some important concepts that currently exist are comprehensively clarified, such as system marginal units, marginal incremental pricing, slack variables, artificial variables, price components, etc. The pricing principles including artificial variables for backup resources are studied with examples, and the rationality of the research methods is demonstrated through examples.