How to renew SSL certificate in Receive connector in Exchange Server 2013

I have hybrid environment with Exchange server 2013 CU8 and Office 365. Every thing was working fine but after expiring of Public SSL, mail flow from external domains and office 365 stop.
After look into it more i came to know that receive connector was using SSL certificate which was expired, So after renewing SSL certificate, i download it on the edge server and import it on the server in certificate store.
then start to assign it to the Receive connector
took the following steps.

1. First note the thumbprint of new SSL certificate
2. Note the name of Receive connector
3. Use following command to assign it to receive connector

$cert = Get-ExchangeCertificate -Thumbprint bbbbbbkhkkjkj1cee4ca68khy28c5b27ut67e7dopu

$TLSCert="<i>$($cert.Issuer)<s>$($cert.Subject)"

Set-receiveConnector -Identity "Default internal receive connector EDGEServer" -TLSCertificateName $TLSCert

after that mail flow start working