Depth of discharge
DoD
The fraction of a battery's rated capacity that is used before recharging. Deeper cycling gives more usable energy per cycle but usually fewer cycles; the allowable DoD depends on chemistry and the manufacturer's cycle-life data.
Example: A 12 V, 200 Ah battery at 50 % DoD gives 12 × 200 × 0.5 = 1200 Wh of usable energy.
Related calculator: Battery Runtime Calculator with Peukert
Derating
A reduction of the output equipment can safely deliver because conditions are worse than the rating basis, such as altitude and intake temperature for engines or ambient temperature for alternators and cables. Derating figures come from the manufacturer or the relevant standard.
Example: A 45 kW requirement at a site with a 10 % derate needs a set rated 45 / (1 − 0.10) = 50 kW.
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Design, rated and permissible current (Ib ≤ In ≤ Iz, I2 ≤ 1.45 Iz)
Ib, In, Iz, I2
IEC 60364-4-43 overload protection requires the circuit design current Ib ≤ device rating In ≤ cable capacity Iz, and the conventional tripping current I2 (the current that surely trips the device within the conventional time) ≤ 1.45 Iz. For MCBs to IEC 60898-1, I2 = 1.45 In, so the second condition follows from In ≤ Iz; other devices, such as gG fuses, have a higher I2 and need checking against their own standard.
Example: Ib = 28 A on a cable with Iz = 36 A: a 32 A MCB gives 28 ≤ 32 ≤ 36, and I2 = 1.45 × 32 = 46.4 A ≤ 1.45 × 36 = 52.2 A.
Related calculator: Circuit Breaker Size Calculator (Ib ≤ In ≤ Iz)
Detuned reactor
p %
A reactor in series with each capacitor step that tunes the combination below the lowest significant harmonic, so the bank looks inductive at harmonic frequencies and cannot resonate with the supply. It is specified by p = X_L / X_C; 7 % and 14 % are common choices.
Example: On 50 Hz, p = 7 % tunes to 50 / √0.07 ≈ 189 Hz, below the 5th harmonic (250 Hz). The capacitor voltage rises to 400 / (1 − 0.07) ≈ 430 V, so capacitors with a higher voltage rating are used.
Related calculator: Power Factor Correction Capacitor Calculator
Displacement vs true power factor
cos φ, PF
Displacement power factor is cos φ, the phase shift between the fundamental voltage and current. True power factor is P / S including harmonics, so it is lower than cos φ when electronic loads such as drives and rectifiers distort the current.
Example: With a sinusoidal voltage, true PF = cos φ / √(1 + THDi²). A drive with cos φ = 0.95 and 40 % current THD has true PF ≈ 0.95 / √1.16 = 0.88.
Related calculator: Power Factor Correction Capacitor Calculator