The environment is Debian, although the answer will apply to all distributions.
You can also use this command:
dhclient -r interface
interface is the device you want to get a new address for.
dhclient -r eth0
-r flag forces
dhclient to first release any leases you have, you can then use this command to request a new lease:
-r Tell dhclient to release the current lease it has from the
server. This is not required by the DHCP protocol, but some
ISPs require their clients to notify the server if they wish
to release an assigned IP address.
Would comment p.campbell, but I have only 1 reputation and therefore cannot, first I review installed interfaces:
release IP from selected interface (e.g. eth0, eth1, enp1s0, sit0, wlan0,...):
sudo dhclient -r *interface*
request new IP from DHCP server (alert on error):
sudo dhclient -1 *interface*
Ubuntu 16.04 LTS confirmed
If the MAC address of the interface isn't changed, the DHCP server may assign it the same address when renewing. Therefore, a simple release and renew with dhclient may not acquire a new address. Change the MAC address and acquire a new IP address with the following commands. Don't forget to write the original down if you need to revert back to it at a later time.
ifconfig <interface> down
ifconfig <interface> hw ether <MAC address>
ifconfig <interface> up