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The energy requirement for variable-rate irrigation sprinkler was analyzed. Boundary equations for triangular irrigation were set up. The relationships between irrigated angle, flow-rate and wetted diameter were included. Based on them, the relationship between flow-rate and variable pressure head for variable-rate irrigation system was obtained. Structural diagram and systematic transfer function were established by the technology of frequency control. Simulated programs were established using MATLAB. It supplied theoretical foundation for energy-saving experimental verification of variable-rate irrigation sprinkler for the future.