  Various MHD (magnetohydrodynamic) equilibrium tools, some of which being
recently developed or considerably updated, are used on the COMPASS tokamak at
IPP Prague. MHD equilibrium is a fundamental property of the tokamak plasma,
whose knowledge is required for many diagnostics and modelling tools. Proper
benchmarking and validation of equilibrium tools is thus key for interpreting
and planning tokamak experiments. We present here benchmarks and comparisons to
experimental data of the EFIT++ reconstruction code [L.C. Appel et al., EPS
2006, P2.184], the free-boundary equilibrium code FREEBIE [J.-F. Artaud, S.H.
Kim, EPS 2012, P4.023], and a rapid plasma boundary reconstruction code VacTH
[B. Faugeras et al., PPCF 56, 114010 (2014)]. We demonstrate that FREEBIE can
calculate the equilibrium and corresponding poloidal field (PF) coils currents
consistently with EFIT++ reconstructions from experimental data. Both EFIT++
and VacTH can reconstruct equilibria generated by FREEBIE from synthetic,
optionally noisy diagnostic data. Hence, VacTH is suitable for real-time
control. Optimum reconstruction parameters are estimated.
