3.2.5. Constraints of Transmission Capacity

The transmission power between the microgrid and the main grid should not exceed the limit.

$$P\_{down} \le P\_{grid,t} \le P\_{up} \tag{16}$$

where *Pdown* and *Pup* are the lower and upper limits, respectively, of the main grid transmitting power.

### 3.2.6. Charge Constraints of the EV Battery

To slow the aging of the battery, the charging power should not exceed the maximum:

$$0 \le PEV\_{k,t} \le PEV\_{k,t}^{\max} \tag{17}$$
