Modeling and computation of energy efficiency management with emission permits trading
In this paper, we present an optimal feedback control model to deal with the problem of energy efficiency management. Especially, an emission permits trading scheme is considered in our model, in which the decision maker can trade the emission permits exibly. We make use of the optimal control theor...
| Main Authors: | , , |
|---|---|
| Format: | Journal Article |
| Published: |
American Institute of Mathematical Sciences
2018
|
| Online Access: | http://hdl.handle.net/20.500.11937/71225 |
| _version_ | 1848762423302946816 |
|---|---|
| author | Zhang, S. Wang, X. Wang, Song |
| author_facet | Zhang, S. Wang, X. Wang, Song |
| author_sort | Zhang, S. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we present an optimal feedback control model to deal with the problem of energy efficiency management. Especially, an emission permits trading scheme is considered in our model, in which the decision maker can trade the emission permits exibly. We make use of the optimal control theory to derive a Hamilton-Jacobi-Bellman (HJB) equation satisfied by the value function, and then propose an upwind finite difference method to solve it. The stability of this method is demonstrated and the accuracy, as well as the usefulness, is shown by the numerical examples. The optimal management strategies, which maximize the discounted stream of the net revenue, together with the value functions, are obtained. The effects of the emission permits price and other parameters in the established model on the results have been also examined. We find that the in uences of emission permits price on net revenue for the economic agents with different initial quotas are quite different. All the results demonstrate that the emission permits trading scheme plays an important role in the energy efficiency management. |
| first_indexed | 2025-11-14T10:47:20Z |
| format | Journal Article |
| id | curtin-20.500.11937-71225 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:47:20Z |
| publishDate | 2018 |
| publisher | American Institute of Mathematical Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-712252019-03-06T06:57:13Z Modeling and computation of energy efficiency management with emission permits trading Zhang, S. Wang, X. Wang, Song In this paper, we present an optimal feedback control model to deal with the problem of energy efficiency management. Especially, an emission permits trading scheme is considered in our model, in which the decision maker can trade the emission permits exibly. We make use of the optimal control theory to derive a Hamilton-Jacobi-Bellman (HJB) equation satisfied by the value function, and then propose an upwind finite difference method to solve it. The stability of this method is demonstrated and the accuracy, as well as the usefulness, is shown by the numerical examples. The optimal management strategies, which maximize the discounted stream of the net revenue, together with the value functions, are obtained. The effects of the emission permits price and other parameters in the established model on the results have been also examined. We find that the in uences of emission permits price on net revenue for the economic agents with different initial quotas are quite different. All the results demonstrate that the emission permits trading scheme plays an important role in the energy efficiency management. 2018 Journal Article http://hdl.handle.net/20.500.11937/71225 10.3934/jimo.2018010 American Institute of Mathematical Sciences restricted |
| spellingShingle | Zhang, S. Wang, X. Wang, Song Modeling and computation of energy efficiency management with emission permits trading |
| title | Modeling and computation of energy efficiency management with emission permits trading |
| title_full | Modeling and computation of energy efficiency management with emission permits trading |
| title_fullStr | Modeling and computation of energy efficiency management with emission permits trading |
| title_full_unstemmed | Modeling and computation of energy efficiency management with emission permits trading |
| title_short | Modeling and computation of energy efficiency management with emission permits trading |
| title_sort | modeling and computation of energy efficiency management with emission permits trading |
| url | http://hdl.handle.net/20.500.11937/71225 |