Coil, Load

Inductance L

Coil resistance R_coil

Capacitance C

Load resistance R_load

R_total = R_coil + R_load

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τ = L / R_total

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I∞ = V / R_total

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I0 (steady)

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Source

Mode

Pulse train Sinewave

Amplitude (pulse)

Repetition frequency

Pulse width

Ideal rectangular voltage pulse into an RL branch (analytic).

Scope

Timebase

ms/div

Field persist

fade

Channels

CH1: v(t) CH2: i(t) CH3: v_L(t) CH4: v_C(t)

Field view draws the “DNA” trajectory in phase space (i vs vC) with persistence.

Cursor

Move mouse over plot…

CH1 v(t)

CH2 i(t)

CH3 vL(t)

CH4 vC(t)

Counter-EMF Δ

Set Ref

Δ of ∫|vL|dt in window (0→τ) vs ref

Ref— · Now—

Set a reference to start comparing.

Peak |vL| Δ

Set Ref

Δ of Peak |vL(t)| in window (0→τ) vs ref

Ref— · Now—

Press Set Ref to compare.

Metrics

P_source_avg

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P_load_avg

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P_coil_loss_avg

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Load share

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Coil share

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ΔP_source vs ref

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E_source / period

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E_load / period

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E_coil_loss / period

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ΔW_L (0→τ)

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Energy balance (per)

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f0 (LC)

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Detune (ω-ω0)/ω0

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Q0 (series)

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BW ≈ f0/Q0

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Q_L (var)

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Q_C (var)

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Q_net (var)

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W_L,pk (0→τ)

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W_C,pk (0→τ)

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Set reference to compare.

V_rms

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I_rms

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S = V_rms·I_rms

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PF = P/S

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φ (deg)

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Q (var)

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Q_win (0→τ)

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Δλ_win (0→τ)

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W_L,pk (0→τ)

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V_C,rms (0→τ)

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Peak |vC| (0→τ)

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W_C,pk (0→τ)

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ΔQ_C (0→τ)

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ΔW_C (0→τ)

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Check ΔWc ?= ∫ vC·i dt

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Check Δλ ?= L·Δi

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Check ΔW ?= ∫ vL·i dt

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X_L

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X_C

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X = X_L − X_C

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Q_L (var)

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Q_C (var)

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Q_net (var)

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Sine: φ and Q are physical. Pulse: φ/Q are “equivalent” unless you later add fundamental-only metrics.

X Y Persist

XY mode (Lissajous). Try X=v(t), Y=i(t).

What the source must “fight”.

Peak |vL| (window)

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Peak |di/dt| (window)

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Rise softness index

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Peak |vC| (window)

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Peak |dvC/dt| (window)

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Pulse-only meaning; for sine this is not emphasized.

I_end

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½·L·I_end²

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Remaining after OFF

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