We consider broadcast protocols in wireless networks that have limited energy and computation resources. There exist localized power aware broadcast protocols with directional antennas in the literature. They assume, however, impractical models where two nodes can communicate if and only if they exist within their transmission radius. In this paper, we consider practical models for localized power aware broadcast protocols. First, we employ a practical and statistic shadowing model for physical layer where nodes can only indefinitely communicate near the edge of the communication range; for link layer we consider EER (end-to-end retransmission). Second, we employ "Incremental Power with Directional Antennas" philosophy in distributed computing way to construct power aware broadcasting tree. Third, impact of practical models on localized power aware broadcast protocols for wireless networks with directional antennas is analyzed, and based on the analysis result we propose new localized broadcast protocol MPLDBIP for wireless networks with directional antennas. Finally Experimental results show that MPLDBIP outperforms LDBIP under practical models.