In view of the uncertainty of harmonic distribution in the power system

this paper proposes a probabilistic harmonic power flow algorithm based on cumulant

linear harmonic power flow equation and maximum entropy model. Firstly

the numerical characteristics

such as higher moments and cumulant

are obtained according to the samples of harmonic current. Secondly

the harmonic power flow equation is constructed according to the basic data of the grid and linearized at the reference operating point. The numerical characteristics of the harmonic voltage are calculated. Then the maximum entropy model is developed to fit the probability distribution of the harmonic voltage. The proposed method has the advantages of low computational complexity

simple programming and objective and accurate results. Finally

the probabilistic harmonic power flow is calculated on a 4-bus system and the IEEE 57-bus power system. The results are compared with the convolution method and the Monte Carlo method to verify the effectiveness of the method.