$$ \begin{array}{c c c} \hline \text{Symbol} & \text{Definition} & \text{Example} \\ \hline T & \text{Time Units} & (12:15, 12:45), (12:45, 13:15) \\ J & \text{Controllable generation technologies} & {\text{Gas Turbine}, \text{Biomass Power Generation}} \\ \hline \end{array} $$

Table 1, summary of sets

$$ \begin{array}{c l c c} \hline \text{Symbol} & \text{Definition} & \text{Unit} & \text{Set} \\ \hline y_{j} & \text{Capacity of different generation technologies} & \text{MW} & J \\ x_{j, t} & \text{Average power output during time interval} & \text{MW} & J, T \\ z & \text{Percent of new wind turbine compared with installed} & \text{MW} & {\text{wind}} \\ \hline \end{array} $$

Table 2, summary of decision variables

$$ \begin{array}{c l c c} \hline \text{Symbol} & \text{Definition} & \text{Unit} & \text{Set} \ \hline w_{t} & \text{Historical wind power output of installed turbines} & \text{MW} & T \ d_{t} & \text{Historical electricity demand} & \text{MW} & T \ a & \text{Length of the time interval} & \text{hour} & - \ c^{fix}{j} & \text{Fixed cost per capacity of conventional generation technologies} & \text{DKK / MW} & J \ c^{fix, wind} & \text{Fixed cost per percent capacity of wind turbines} & \text{DKK / %} &{\text{wind}} \ c^{var}{j} & \text{Production cost per unit output of different generation technologies} & \text{DKK / MW} & J \ s^{max}{j} & \text{Max percent of controllable increment power output} & \text{%} & J \ \beta^{min}{j} & \text{Minimum percent of load percent of full load} & \text{%} & J \ \hline \end{array} $$

Table 2, summary of constants