Max PF Capacitor Bank to Keep Resonance Off a Harmonic
The inverse of the harmonic-resonance tile: the largest PF capacitor bank that keeps the parallel-resonance order at or above a target, MVAR_cap = MVA_sc / h^2. A 200-MVA bus targeting an order of 4.7 (to stay below the 5th) caps the bank at ~9.05 MVAR; a bigger bank walks the resonance down onto the 5th. Split into smaller banks or add a detuning reactor for more correction. A screening aid; a harmonic study governs.
Formula and source
MVAR_cap = MVA_sc / h_target^2, the parallel-resonance relation h = sqrt(MVA_sc / MVAR_cap) solved for the bank (the maximum bank that keeps the resonant order at or above the target).
Parallel-resonance order of a power-factor capacitor bank (IEEE 519 / IEEE 1531) solved for the bank, first-principles, by name; a harmonic study governs.
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