In the scenario of network configuration variation， a novel method for updating the minimum break point set（MBPS） is proposed based on phantom break point set（PBPS）. According to static network topology， the network original information base（NOIB） can be obtained， which contains the original relay-incidence matrix（RIM）， MBPS， relay relative sequence table（RRST）， and the incidence elements of break points（BPs）. When the network topology is varied， the type of variation is identified first and the PBPS is determined based on the NOIB. Then， the RIM is reconstructed and the BPs added or to be deleted are calculated using part of the elements of the reconstructed RIM. The final MBPS of the new network is obtained after the commutative BPs or new terminal BPs are verified. Case study demonstrates the method proposed can obtain the final MBPS of the whole system without the knowledge of any circuit loops. And MBPS can be updated rapidly by modifying only a few elements. Furthermore， this method is applicable to a lot of types of variation of the network configuration with less computational burden.