We analyze the effects of two popular second-best clean energy policies, using an extended resource extraction framework. This model features, first, heterogeneous energy sources and, second, a capacity-constrained backstop technology. This setup allows for capturing the following two empirical observations. First, different types of energy sources are used simultaneously despite different production costs. Second, experiences from various European countries show that a further expansion of the use of climate friendly technologies faces substantial technological as well as political constraints. We use this framework to analyze if under two policy scenarios a so-called “Green Paradox” occurs. A subsidy for the clean energy as well as an expansion of the capacity of the clean energy are considered. The analysis shows that while both policy measures lead to a weak Green Paradox, a strong Green Paradox is only found for the capacity expansion scenario. In addition, the subsidy is found to be welfare enhancing while the capacity increase is welfare enhancing only if the cost of adding the capacity is sufficiently small.