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The energyRt model comprises about 150 predefined equations over 95 variables describing energy technologies, the energy system, and its operation. Additional equations can be added with newConstraint() or directly in the model code. The model is formulated in four alternative math-programming languages: GAMS, Python/Pyomo, GLPK/Mathprog, and Julia/JuMP. The mathematical formulation is documented in the model equations PDF; for the concepts behind the package, start with the introduction vignette.