Abstract: First,nonlinear system of ectuations was transformed into unconstrained optimization problem by using the concept of surrogate constraints and amended maximum entropy function. Then, the concept of average similarity was introduced to design adaptive orthogonal crossover operator, and orthogonal design was used to generate initial populalion, and on the basis, adaptive orthogonal differential evolution algorithm was proposed for solving the maximum entropy function. Finally, using equations verified the algorithm.

Key words: Orthogonal design,Differential evolution,Maximum entropy,System of ectuations