论文标题
可再生能力发展的平均现场模型
A mean field model for the development of renewable capacities
论文作者
论文摘要
我们提出了一个基于大量小型竞争性可再生能源生产商的模型，以研究补贴对容量总水平的影响，考虑到蚕丝化效果。我们首先得出一个模型，以解释在可再生电力生产市场上可以达到多长时间平衡，并将这种平衡与垄断的情况进行比较。然后，我们考虑其他生产能力适应可再生能源的生产的情况。该分析基于主方程，我们获得了长期均衡的明确公式。我们还提供了新的数值方法来模拟主方程和能力的演变。因此，我们发现中央规划师为安装和生产提供了最佳补贴，以达到所需的平衡能力。
We propose a model based on a large number of small competitive producers of renewable energies, to study the effect of subsidies on the aggregate level of capacity, taking into account a cannibalization effect. We first derive a model to explain how long-time equilibrium can be reached on the market of production of renewable electricity and compare this equilibrium to the case of monopoly. Then we consider the case in which other capacities of production adjust to the production of renewable energies. The analysis is based on a master equation and we get explicit formulae for the long-time equilibria. We also provide new numerical methods to simulate the master equation and the evolution of the capacities. Thus we find the optimal subsidies to be given by a central planner to the installation and the production in order to reach a desired equilibrium capacity.
