EXPEDITING THE TRANSITION FROM NON-RENEWABLE TO RENEWABLE ENERGY VIA OPTIMAL CONTROL

被引:0
|
作者
Maurer, Helmut [1 ]
Semmler, Willi [2 ]
机构
[1] Univ Munster, Inst Computat & Appl Math, D-48149 Munster, Germany
[2] New Sch Social Res, Dept Econ, New York, NY 10003 USA
关键词
Non-renewable and renewable energy; optimal control; maximum principle; discretization method; policy scenarios; CONTROL-STATE CONSTRAINTS; GROWTH; DELAYS;
D O I
10.3934/dcds.2015.35.4503
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Much recent climate research suggests that the transition from non-renewable to renewable energy should be expedited. To address this issue we use an optimal control model, based on an integrated assessment model of climate change that includes two types energy production. After setting up the model, we derive necessary optimality conditions in the form of a Pontryagin type Maximum Principle. We use a numerical discretization method for optimal control problems to explore various policy scenarios. The algorithm allows to compute both state and co-state variables by providing a consistent numerical approximation for the adjoint variables of the various scenarios. Our numerical method applies to control and state-constrained control problems as well as to delayed control problems. In the policy scenarios, we explore ways how the transition from non-renewable to renewable energy can be expedited.
引用
收藏
页码:4503 / 4525
页数:23
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