An optimal of walking path to travel in Lopburi City was the shortest distance of path anduses least travel time. The research methodology used the survey of 10 real locations togetherwith viewing satellite maps and diagrams from Google earth.com for graphing and weighting of edges (distance time). The result analysis used the basic ideas of graph theory by finding the path that has all the vertex and used the idea of matrix by finding the adjacency matrix. The result of the research shown that an optimal of walking path to travel in Lopburi City that is to be as following Wat Puen Wichayen House Prang Khaek Somdet Phra Narai National Museum Lopburi Wat Phrasi Rattana Mahathat Wat Bandai Hin Wat Inthra Wat Nakorn Kosa Phra Kal Shrine Phra Prang Sam Yot with a total distance of 2090 meters in 25 minutes.

This paper presents the input power factor control of a modulation using a carrier-based dipolar for matrix converters by determining the optimum value of free parameters b and d in general solutions of the modulation matrix. The proposed PWM method is not only less complicated but can clearly show the coupling of the input power factor control from both active and reactive output power. The experimental results show that the proposed PWM method can control the conditioned input power factor set earlier