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We study some parameter networks of ion source adjustment experiments and find quasi-scale-free characters.Their nodes are parameter settings of every discharge and connected by each of adjacent discharge. Their cumulative degree distributions obey the expression of stretched exponential distributions rank-ordering form,and their degree distributions exhibit product-form by two functions, one is similar to an exponential form, and the other is close to a power law. An index is presented to measure how this distribution is close to the power law and how this distribution is used in the analysis of these parameter networks. The mode of parameter adjustment decides that the quasi-scale-free networks are formed naturally.