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#import "../lib/unify.typ": qty, unit
#import "@preview/cetz:0.5.2"
#import "@preview/cetz-plot:0.1.4": plot
#figure(
cetz.canvas({
import cetz.draw: *
plot.plot(
size: (12, 9),
y-mode: "log",
x-label: [Time $t$ ($unit("s")$)],
y-label: [Residual Voltage $V_upright("DA")$ ($unit("mV")$)],
x-min: 0.001,
x-max: 9,
y-min: 0.01,
y-max: 500,
x-grid: "minor",
y-grid: "minor",
{
// 200 uV (0.2 mV) Metrologic systematic error budget limit
plot.add(
((0.001, 0.2), (10, 0.2)),
style: (
stroke: (paint: luma(120), thickness: 0.8pt, dash: "dash-dotted"),
),
label: [Budget limit ($qty(200, "uV")$)],
)
// Ceramic X7R (DA = 2.5%, 10 V step -> 250 mV initial soakage peak)
plot.add(
style: (stroke: (dash: "solid")),
label: [Ceramic (X7R / Class 2)],
domain: (0.001, 10),
samples: 10000,
t => (
250
* (
0.5 * calc.exp(-t / 0.01) + 0.3 * calc.exp(-t / 0.1) + 0.2 * calc.exp(-t / 1.0)
)
),
)
// Polypropylene PP (DA = 0.05%, 10 V step -> 5 mV initial soakage peak)
plot.add(
style: (stroke: (dash: "dotted")),
label: [Polypropylene (PP)],
domain: (0.001, 10),
samples: 10000,
t => (
5
* (
0.5 * calc.exp(-t / 0.01) + 0.3 * calc.exp(-t / 0.1) + 0.2 * calc.exp(-t / 1.0)
)
),
)
// Polystyrene PP (DA = 0.002, 10 V step -> 2 mV initial soakage peak)
plot.add(
style: (stroke: (dash: "dashed")),
label: [Polystyrene (PS)],
domain: (0.001, 10),
samples: 10000,
t => (
2
* (
0.5 * calc.exp(-t / 0.01) + 0.3 * calc.exp(-t / 0.1) + 0.2 * calc.exp(-t / 1.0)
)
),
)
// Teflon PTFE (DA = 0.001, 10 V step -> 1 mV initial soakage peak)
plot.add(
style: (stroke: (dash: "dash-dotted")),
label: [Teflon (PTFE)],
domain: (0.001, 10),
samples: 10000,
t => (
1
* (
0.5 * calc.exp(-t / 0.01) + 0.3 * calc.exp(-t / 0.1) + 0.2 * calc.exp(-t / 1.0)
)
),
)
// Class 1 C0G/NP0 Ceramic (DA = 0.005%, 10 V step -> 0.5 mV initial soakage peak)
plot.add(
style: (stroke: (dash: (6pt, 2pt, 2pt, 2pt))),
label: [Class 1 (C0G/NP0)],
domain: (0.001, 10),
samples: 10000,
t => (
0.5
* (
0.5 * calc.exp(-t / 0.01) + 0.3 * calc.exp(-t / 0.1) + 0.2 * calc.exp(-t / 1.0)
)
),
)
},
)
}),
caption: [Capacitor dielectric absorption residual voltage relaxation ($V_upright("DA")$) over time following a $qty(10, "V")$ step voltage reset, comparing dielectric classes against the $qty(200, "uV")$ systematic error budget],
) <figure-capacitor-dielectric-absorption-noise-typical-magnitude>
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