Added Knights capacitance for coils

Also cleaned up use of 1e6 multiplier in frequency
pull/2/head
miguel 2020-10-25 18:55:54 +11:00
rodzic cd9733b5d0
commit ed7dff3238
2 zmienionych plików z 80 dodań i 34 usunięć

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@ -156,7 +156,7 @@ section div.antennaSide-container {
grid-row-end: 4;
}
}
/*
@media print (orientation: landscape) {
section.gridLayoutClass {
display: grid;
@ -168,8 +168,8 @@ section div.antennaSide-container {
min-height: 100%;
max-width: 100%;
max-height: 100%;
height: auto;
width: auto;
height: auto!important;
width: auto!important;
}
}
@ -184,8 +184,7 @@ section div.antennaSide-container {
min-height: 100%;
max-width: 100%;
max-height: 100%;
height: auto;
width: auto;
height: auto!important;
width: auto!important;
}
}
*/

Wyświetl plik

@ -107,7 +107,7 @@
function radiationResistance(frequency) {
const n_turns = loop_turns_slider.value;
const k = 20.0 * (Math.PI ** 2.0);
const wavelength = 3e8 / (frequency * 1e6);
const wavelength = 3e8 / frequency;
const l = (Math.PI * loop_diameter_slider.value) / wavelength;
const rr = (n_turns ** 2.0) * k * (l ** 4.0);
return rr;
@ -116,7 +116,7 @@
function calculateRadiationResistance() {
var retval = [];
frequencies.forEach(freq => {
const rr = radiationResistance(freq);
const rr = radiationResistance(freq * 1e6);
retval.push({x:freq, y:rr});
});
return retval;
@ -124,39 +124,75 @@
function inductiveReactance(frequency) {
const inductance = getInductance();
const wavelength = 3e8 / (frequency * 1e6);
const l = (Math.PI * loop_diameter_slider.value) / wavelength;
const reactance = 2.0 * Math.PI * (frequency * 1e6) * inductance;
const reactance = 2.0 * Math.PI * frequency * inductance;
return reactance;
}
function calculateInductiveReactance() {
var retval = [];
frequencies.forEach(freq => {
const reactance = inductiveReactance(freq);
const reactance = inductiveReactance(freq * 1e6);
retval.push({x:freq, y:reactance});
});
return retval;
}
function tuningCapacitance(frequency) {
const inductance = getInductance();
const wavelength = 3e8 / (frequency * 1e6);
const l = (Math.PI * loop_diameter_slider.value) / wavelength;
const reactance = 2.0 * Math.PI * frequency * 1e6 * inductance;
function nagaokaCoefficient() {
// From Knight's 2016 paper on coil self-resonance, attributed to Wheeler's 1982 eqn as modified by Bob Weaver
var retval;
const c_spacing = 1e-3 * loop_spacing_slider.value * conductor_diameter_slider.value;
const corr_factor = Math.sqrt(1.0 + (c_spacing**2 / loop_diameter_slider.value**2));
const conductor_length = Math.PI * loop_diameter_slider.value * loop_turns_slider.value * corr_factor;
const x = loop_diameter_slider.value / conductor_length;
const zk = 2.0 / (Math.PI * x);
const k0 = 1.0 / (Math.log(8.0 / Math.PI) - 0.5);
const k2 = 24.0 / (3.0 * Math.PI**2 - 16.0);
const w = -0.47 / (0.755 + x)**1.44;
const p = k0 + 3.437/x + k2/x**2 + w;
retval = zk * (Math.log(1 + 1/zk) + 1/p);
return retval;
}
function ctdw(ff, ei, ex) {
// From Knight's 2016 paper
const kL = nagaokaCoefficient();
const kct = 1.0/kL - 1.0;
return 11.27350207 * ex * ff * (1.0 + kct * (1.0 + ei/ex) / 2.0);
}
function ciae(ff, ei, ex) {
// From Knight's 2016 paper
return 17.70837564 * (ei+ex) / Math.log(1.0 + Math.PI**2 * ff);
}
function multiloopCapacitance() {
const e0 = 8.854187e-12;
const h = loop_spacing_slider.value * conductor_diameter_slider.value;
const a = conductor_diameter_slider.value * 0.5;
const multiloop_capacitance = (loop_turns_slider.value > 1) ?
((2.0*Math.PI*e0) / Math.log((h + Math.sqrt(h**2 - a**2))/a)) * Math.PI * loop_diameter_slider.value * (loop_turns_slider.value-1) : 0.0;
const capacitance = 1e12 * ((1.0 / (2.0 * Math.PI * frequency * 1e6 * reactance)) - multiloop_capacitance);
const h = 1e-3 * loop_spacing_slider.value * conductor_diameter_slider.value;
const ei = 1.0; // Assume internal epsilon is air
const ex = 1.0; // Assume external epsilon is air
const solenoid_length = loop_turns_slider.value * h;
const ff = solenoid_length / loop_diameter_slider.value;
var multiloop_capacitance = 1e-12 * (ctdw(ff, ei, ex) / Math.sqrt(1 - h**2 / loop_diameter_slider.value**2) + ciae(ff, ei, ex)) * loop_diameter_slider.value;
//console.log(multiloop_capacitance * 1e12);
return multiloop_capacitance; // in Farads
}
function tuningCapacitance(frequency) {
// frequency is in Hertz
const reactance = inductiveReactance(frequency);
var multiloop_capacitance = 0.0;
if(loop_turns_slider.value > 1) {
// Only compensate for multiloop capacitance when we have more than 1 turn:
multiloop_capacitance = multiloopCapacitance();
}
const capacitance = 1e12 * ((1.0 / (2.0 * Math.PI * frequency * reactance)) - multiloop_capacitance);
return capacitance; // in picofarads
}
function calculateTuningCapacitor() {
var retval = [];
frequencies.forEach(freq => {
const capacitor = tuningCapacitance(freq);
const capacitor = tuningCapacitance(freq * 1e6);
retval.push({x:freq, y:capacitor});
});
return retval;
@ -192,6 +228,7 @@
}
function lossResistance(frequency) {
// Frequency in Hertz
const a_coil_radius = loop_diameter_slider.value * 0.5;
const b_conductor_radius = conductor_diameter_slider.value * 0.0005;
const n_turns = loop_turns_slider.value;
@ -200,7 +237,7 @@
const k = (n_turns * a_coil_radius / b_conductor_radius);
const cu_sigma = 58e6; // Copper conductance value
const Rp = getProximityResFromSpacing(loop_spacing_ratio);
const Rs = Math.sqrt(Math.PI * frequency * 1e6 * mu0 / cu_sigma);
const Rs = Math.sqrt(Math.PI * frequency * mu0 / cu_sigma);
const R0 = (n_turns * Rs) / (2.0 * Math.PI * b_conductor_radius);
const R_ohmic = k * Rs * (Rp / R0 + 1.0);
return R_ohmic;
@ -209,7 +246,7 @@
function calculateLossResistance() {
var retval = [];
frequencies.forEach(freq => {
const R_ohmic = lossResistance(freq);
const R_ohmic = lossResistance(freq * 1e6);
retval.push({x:freq, y:R_ohmic});
});
return retval;
@ -218,8 +255,8 @@
function calculateEfficiencyFactor() {
var retval = [];
frequencies.forEach(freq => {
const R_ohmic = lossResistance(freq);
const R_rad = radiationResistance(freq);
const R_ohmic = lossResistance(freq * 1e6);
const R_rad = radiationResistance(freq * 1e6);
const efficiency = 100.0 / (1.0 + (R_ohmic / R_rad));
//const efficiency = 10.0 * Math.log10(1.0 / (1.0 + (R_ohmic / R_rad))); // for Efficiency in dB
retval.push({x:freq, y:efficiency});
@ -238,7 +275,7 @@
function calculateQualityFactor() {
var retval = [];
frequencies.forEach(freq => {
const Q = qualityFactor(freq);
const Q = qualityFactor(freq * 1e6);
retval.push({x:freq, y:Q});
});
return retval;
@ -246,14 +283,14 @@
function bandwidth(frequency) {
const Q = qualityFactor(frequency);
const bw = frequency * 1e3 / Q; // in kiloHertz, remember that frequency comes in as MHz. Conversion between MHz and kHz is why the 1e3 exists.
const bw = frequency * 1e-3 / Q; // in kiloHertz, remember that frequency comes in as Hz. Conversion between Hz and kHz is why the 1e-3 exists.
return bw;
}
function calculateBandwidth() {
var retval = [];
frequencies.forEach(freq => {
const bw = bandwidth(freq);
const bw = bandwidth(freq * 1e6);
retval.push({x:freq, y:bw});
});
return retval;
@ -267,7 +304,7 @@
function calculateCapacitorVoltage() {
var retval = [];
frequencies.forEach(freq => {
const Vcap = 0.001 * capacitorVoltage(freq);
const Vcap = 0.001 * capacitorVoltage(freq * 1e6);
retval.push({x:freq, y:Vcap});
});
return retval;
@ -277,6 +314,7 @@
const val = this.value * 1.0;
loop_diameter_value.innerHTML = val.toPrecision(3).toString();
drawFrontDesign();
drawSideDesign();
updateFrequencies();
myChart.data.datasets[0].data = calculateTuningCapacitor();
myChart.data.datasets[1].data = calculateBandwidth();
@ -518,10 +556,19 @@
sctx.lineTo(start_x + cond_spacing, dim_y + 7);
sctx.stroke();
// Draw turns number text:
sctx.font = "12px arial";
sctx.textAlign = "center";
sctx.fillText("N = " + loop_turns_slider.value.toString(), win_width/2, win_height * 0.1 + 3);
if(loop_turns_slider.value > 1) {
const L = multiloopCapacitance() * 1e+12;
sctx.textAlign = "right";
sctx.fillText("C = " + L.toPrecision(3).toString() + " pF", win_width-8, 18);
sctx.textAlign = "left";
sctx.fillText("N = " + loop_turns_slider.value.toString(), 8, win_height * 0.1 + 3);
} else {
// Draw turns number text:
//sctx.font = "12px arial";
sctx.textAlign = "center";
sctx.fillText("N = " + loop_turns_slider.value.toString(), win_width/2, win_height * 0.1 + 3);
}
// Draw spacing text:
sctx.textAlign = "center";