kopia lustrzana https://github.com/miguelvaca/vk3cpu
Added single-turn loop capacitance calculation and display.
miguel
rodzic
25dee600fb
commit
46ec93bb68
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magloop.html
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magloop.html
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@ -92,7 +92,7 @@
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<ul>
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<li>L : Inductance in microhenries.</li>
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<li>A : Loop area in square meters or square feet.</li>
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<li>C : Effective capacitance for multi-turn loops in picofarads.</li>
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<li>C : Effective capacitance of the loop in picofarads.</li>
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<li>peri : Perimeter of the main loop in meters or feet.</li>
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<li>c : Distance between windings, measured from the conductor centers in mm or inches.</li>
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<li>cond : Total required conductor length in meters or feet.</li>
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@ -108,6 +108,8 @@
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</ul>
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<br>
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<b><u>Change history:</u></b><br>
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<b>[21-Sep-21]</b> <br>
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* Added distributed capacitance calculation and display for the single turn loop.<br>
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<b>[19-Sep-21]</b> <br>
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* Increased supported conductor diameter to 80 mm. (3.15 inches)<br>
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<b>[18-Sep-21]</b> <br>
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@ -157,7 +159,8 @@
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var inductance = 0.0;
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var area = 0.0; // Loop area in square meters.
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var perimeter = 0.0; // Perimeter of a single turn of the main loop
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var multiloop_capacitance = 0.0; // Effective capacitance of a multi-turn loop
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var loop_capacitance = 0.0; // Effective capacitance of a single or multi-turn loop
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var srf = 0.0; // Self-resonant frequency SRF
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var conductor_length = 0.0; // Total conductor length
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var frequencies = [];
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@ -167,13 +170,11 @@
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0.1365, 0.475, 1.8, 3.5, 5.0, 7.0, 10.1, 14.0, 18.068, 21.0, 24.89, 28.0, 29.7, 35.0, 40.0, 45.0, 50.0, 52.0, 54.0
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];
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// Max frequency is for multi-turn loops:
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var max_freq = calculateSRF();
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frequencies = [];
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hamFrequencies.forEach(freq => {
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const wavelength = 3e8 / (freq * 1e6);
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const l = (Math.PI * loop_diameter_slider.value) / wavelength;
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if ((l <= 0.30) && ((freq * 1e6) < max_freq)) {
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if ((l <= 0.30) && ((freq * 1e6) < srf)) {
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frequencies.push(freq);
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}
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});
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@ -183,7 +184,8 @@
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inductance = getInductance();
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area = getArea();
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perimeter = getPerimeter();
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multiloop_capacitance = (loop_turns_slider.value > 1) ? multiloopCapacitance() : 0.0;
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loop_capacitance = (loop_turns_slider.value > 1) ? multiloopCapacitance() : (2.69e-12 * perimeter);
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srf = calculateSRF();
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conductor_length = ((((perimeter* loop_turns_slider.value) ** 2.0) + ((loop_spacing_slider.value * conductor_diameter_slider.value * 1e-3 * loop_turns_slider.value) ** 2.0)) ** 0.5);
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}
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@ -358,18 +360,17 @@
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var l_multiloop_capacitance = 1e-12 * shape_factor * (ctdw(ff, ei, ex) / Math.sqrt(1 - h**2 / loop_diameter_slider.value**2) + ciae(ff, ei, ex)) * loop_diameter_slider.value;
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return l_multiloop_capacitance; // in Farads
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}
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/*
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function singleloopCapacitance() {
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var retval = 2.69 * perimeter;
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return (retval*1e-12); // in Farads
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}
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*/
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function tuningCapacitance(frequency) {
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// frequency is in Hertz
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const reactance = inductiveReactance(frequency);
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/*
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var multiloop_capacitance = 0.0;
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if(loop_turns_slider.value > 1) {
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// Only compensate for multiloop capacitance when we have more than 1 turn:
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multiloop_capacitance = multiloopCapacitance();
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}
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*/
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const capacitance = 1e12 * ((1.0 / (2.0 * Math.PI * frequency * reactance)) - multiloop_capacitance);
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const capacitance = 1e12 * ((1.0 / (2.0 * Math.PI * frequency * reactance)) - loop_capacitance);
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return capacitance; // in picofarads
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}
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@ -514,10 +515,9 @@
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}
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function calculateSRF() {
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const capacitance = (loop_turns_slider.value > 1) ? multiloopCapacitance() : 1e-12; // Assume 1 pF for a single loop. Yes it is wrong, but we just don't want a divide-by-zero error below.
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// According to Knight (2016), SRF for a single coil is equivalent to the circumference being equivalent to a half-wave dipole.
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const inductance = getInductance();
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return (1.0 / (2.0 * Math.PI * ((inductance * capacitance) ** 0.5)));
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return (1.0 / (2.0 * Math.PI * ((inductance * loop_capacitance) ** 0.5)));
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}
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metric_radio.oninput = function() {
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@ -1291,14 +1291,11 @@
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sctx.font = normal_font;
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// Multi-turn loop, so calculate C and SRF:
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if(loop_turns_slider.value > 1) {
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const L = multiloopCapacitance() * 1e+12;
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const srf = calculateSRF();
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sctx.textAlign = "right";
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sctx.fillText("C = " + L.toFixed(0).toString() + " pF", win_width-8, 18);
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sctx.fillText("SRF = ", win_width-8, win_height * 0.1 + 18);
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sctx.fillText((srf*1e-6).toPrecision(3).toString() + " MHz", win_width-8, win_height * 0.1 + 33);
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}
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const L = loop_capacitance * 1e+12;
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sctx.textAlign = "right";
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sctx.fillText("C = " + L.toFixed(0).toString() + " pF", win_width-8, 18);
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sctx.fillText("SRF = ", win_width-8, win_height * 0.1 + 18);
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sctx.fillText((srf*1e-6).toPrecision(3).toString() + " MHz", win_width-8, win_height * 0.1 + 33);
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sctx.textAlign = "right";
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sctx.fillText("cond = " , win_width-8, dim_y + 08);
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@ -1318,9 +1315,10 @@
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}
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}
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// Set the global variables, which are all determined by physical dimensions, and are thus frequency-independent:
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setGlobals();
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// Update the frequencies, now that we have the sliders available:
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updateFrequencies();
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setGlobals();
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drawFrontDesign();
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drawSideDesign();
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@ -9,36 +9,45 @@
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<body>
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<header><b><a href="mailto:vk3cpu@gmail.com">VK3CPU</a> - <a href="./magloop.html">Magloop Antenna Calculator</a> Equations:</b></header>
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<br>
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For single-turn circular loop inductance:<br>
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<img src="MagloopSingleTurnInductance.png" alt="magloop single-turn loop antenna inductance"><br><br>
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For multi-turn circular loop inductance:<br>
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<img src="MagloopMultiTurnInductance.png" alt="magloop multi-turn loop antenna inductance"><br><br>
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For octagonal loop antenna inductance:[F W Grover]<br>
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<img src="L_oct.png" alt="octagonal magloop antenna inductance"><br><br>
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For hexagonal loop antenna inductance:[F W Grover]<br>
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<img src="L_hex.png" alt="hexagonal magloop antenna inductance"><br><br>
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For square loop antenna inductance:[F W Grover]<br>
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<img src="L_sqr.png" alt="square magloop antenna inductance"><br><br>
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Loss resistance:<br>
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<b>For single-turn circular loop inductance:</b><br>
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<img src="MagloopSingleTurnInductance.png" alt="magloop single-turn loop antenna inductance"><br>
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<i>[r_loop - loop radius in meters; r_conductor - conductor radius in meters]</i><br><br>
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<b>For multi-turn circular loop inductance:</b><br>
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<img src="MagloopMultiTurnInductance.png" alt="magloop multi-turn loop antenna inductance"><br>
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<i>[k_nagaoka - Nagaoka coefficient; l_coil - length of the coil in meters; r_loop - radius of the loop in meters]</i><br><br>
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<b>For octagonal loop antenna inductance:[F W Grover]</b><br>
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<img src="L_oct.png" alt="octagonal magloop antenna inductance"><br>
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<i>[N - turns; s - section side length m; r - loop radius in m; b - coil length in m]</i><br><br>
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<b>For hexagonal loop antenna inductance:[F W Grover]</b><br>
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<img src="L_hex.png" alt="hexagonal magloop antenna inductance"><br>
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<i>[N - turns; s - section side length m; r - loop radius in m; b - coil length in m]</i><br><br>
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<b>For square loop antenna inductance:[F W Grover]</b><br>
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<img src="L_sqr.png" alt="square magloop antenna inductance"><br>
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<i>[N - turns; s - section side length m; r - loop radius in m; b - coil length in m]</i><br><br>
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<b>Loss resistance:</b><br>
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<img src="MagloopLossResistance.png" alt="magloop multi-turn loss resistance"><br><br>
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Surface resistance:<br>
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<b>Surface resistance:</b><br>
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<img src="MagloopSurfaceResistance.png" alt="magloop surface resistance of conductor"><br><br>
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Radiation resistance for circular loop:<br>
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<b>Radiation resistance for circular loop:</b><br>
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<img src="MagloopRadiationResistance.png" alt="multi-turn magloop radiation resistance"><br><br>
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Radiation resistance for octagon, hexagon and square loop:<br>
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<b>Radiation resistance for octagon, hexagon and square loop:</b><br>
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<img src="MagloopRadiationResistanceGrover.png" alt="multi-turn magloop radiation resistance"><br><br>
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Radiation efficiency:<br>
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<b>Radiation efficiency:</b><br>
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<img src="MagloopEfficiency.png" alt="magloop antenna efficiency"><br><br>
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Q factor:<br>
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<b>Q factor:</b><br>
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<img src="MagloopQ.png" alt="magloop antenna Q factor"><br><br>
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Capacitor voltage:<br>
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<b>Capacitor voltage:</b><br>
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<img src="Vcap.png" alt="magloop antenna capacitor voltage"><br><br>
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Loop current:<br>
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<b>Loop current:</b><br>
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<img src="I_loop.png" alt="magloop antenna loop current"><br><br>
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Bandwidth:<br>
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<b>Bandwidth:</b><br>
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<img src="BW.png" alt="magloop antenna bandwidth"><br><br>
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Multi-loop capacitance:<br>
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<img src="MultiloopCapacitance.png" alt="magloop antenna multi-turn loop capacitance"><br><br>
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<b>Single-loop capacitance:</b><br>
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<img src="C_loop.png" alt="magloop antenna multi-turn loop capacitance"><br>
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<i>[l_perimeter - conductor perimeter length in meters]</i><br><br>
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<b>Multi-loop capacitance:</b><br>
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<img src="MultiloopCapacitance.png" alt="magloop antenna multi-turn loop capacitance"><br>
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<i>[Based on David W Knight's paper "The self-resonance and self-capacitance of solenoid coils: applicable theory, models and calculation methods"]</i><br>
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<br>
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</body>
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</html>
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