The current amplitude differential protection is one of the effective means to overcome the deficiencies of the conventional over-current protection in the active distribution network. However, the existing criterions are rarely immune to the unmeasurable load branches especially the IM-type unmeasurable load branches. Therefore, this paper derives the positive-sequence equivalent model of the IM during fault occurrence. Then, the general variation law of the current amplitude difference between both terminals is revealed. For the passive unmeasurable load branch, the current amplitude difference is greater than its original value under internal faults while smaller under external faults. But for the IM-type unmeasurable load branch, such difference can exceed its original value temporarily under external low-resistance faults. To cover the maximum possible current amplitude difference during external fault occurrence, the adaptive operation characteristic curve is established. Accordingly, a novel protection scheme based on the pre-fault and post-fault current amplitude differences is proposed. The simulation results show that the proposed protection can avoid the risk of mal-operation in various external fault scenarios and identify internal faults sensitively.