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Ansichtsausweis

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Moritz Utcke
2025-01-02 21:08:18 +07:00
parent d5578feb46
commit 9e7987758b
11 changed files with 575 additions and 322 deletions
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222
src/lib/Berechnungen/BedarfsausweisWohnen/funktionMonatlicherBelastungsgrad.ts
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@@ -1,18 +1,19 @@
// Funktion zur Berechnung des monatlichen Belastungsgrades aus Tabelle 9 EFH (Januar, Zeitkonstante 90)
import { nevillePolynomialInterpolation, lagrangeInterpolation } from "js-interpolate";
function monatlicherBelastungsGradT90(
wertZwei: number,
wertEins: number,
maxHeizlast: number,
maxHeizlastEins: number,
maxHeizlastZwei: number
wertZwei: number,
wertEins: number,
maxHeizlast: number,
maxHeizlastEins: number,
maxHeizlastZwei: number
): number {
return (
wertZwei -
((wertZwei - wertEins) * (maxHeizlast - maxHeizlastEins)) /
(maxHeizlastZwei - maxHeizlastEins)
);
return (
wertZwei -
((wertZwei - wertEins) * (maxHeizlast - maxHeizlastEins)) /
(maxHeizlastZwei - maxHeizlastEins)
);
}
// Beispielwerte
@@ -24,94 +25,157 @@ const maxHeizlastZwei = 50;
// Berechnung
const monatlicherBelastungsgradT90 = monatlicherBelastungsGradT90(
wertZwei,
wertEins,
maxHeizlast,
maxHeizlastEins,
maxHeizlastZwei
wertZwei,
wertEins,
maxHeizlast,
maxHeizlastEins,
maxHeizlastZwei
);
console.log("Monatlicher Belastungsgrad T90:", monatlicherBelastungsgradT90);
// Funktion zur Berechnung des monatlichen Belastungsgrades aus Tabelle 9 EFH (Zeitkonstante 90,130)
type MonthData = {
month: string;
values: number[];
month: string;
values: number[];
};
const datasetZeitkonstante90: MonthData[] = [
{ month: "Januar", values: [0.562, 0.559, 0.555, 0.548, 0.541, 0.538, 0.536, 0.535] },
{ month: "Februar", values: [0.536, 0.532, 0.529, 0.522, 0.515, 0.512, 0.510, 0.510] },
{ month: "März", values: [0.453, 0.450, 0.447, 0.441, 0.436, 0.433, 0.431, 0.431] },
{ month: "April", values: [0.320, 0.318, 0.316, 0.311, 0.307, 0.306, 0.305, 0.304] },
{ month: "Mai", values: [0.175, 0.173, 0.172, 0.170, 0.168, 0.167, 0.166, 0.166] },
{ month: "Juni", values: [0.098, 0.097, 0.096, 0.095, 0.094, 0.093, 0.093, 0.093] },
{ month: "Juli", values: [0.030, 0.029, 0.029, 0.029, 0.028, 0.028, 0.028, 0.028] },
{ month: "August", values: [0.041, 0.041, 0.041, 0.040, 0.040, 0.040, 0.039, 0.039] },
{ month: "September", values: [0.169, 0.168, 0.167, 0.164, 0.162, 0.161, 0.161, 0.161] },
{ month: "Oktober", values: [0.311, 0.309, 0.307, 0.303, 0.299, 0.297, 0.296, 0.296] },
{ month: "November", values: [0.471, 0.467, 0.465, 0.459, 0.453, 0.450, 0.448, 0.448] },
{ month: "Dezember", values: [0.565, 0.562, 0.558, 0.551, 0.544, 0.540, 0.539, 0.538] }
{
month: "Januar",
values: [0.562, 0.559, 0.555, 0.548, 0.541, 0.538, 0.536, 0.535, 0.535],
},
{
month: "Februar",
values: [0.536, 0.532, 0.529, 0.522, 0.515, 0.512, 0.51, 0.51, 0.509],
},
{
month: "März",
values: [0.453, 0.45, 0.447, 0.441, 0.436, 0.433, 0.431, 0.431, 0.43],
},
{
month: "April",
values: [0.32, 0.318, 0.316, 0.311, 0.307, 0.306, 0.305, 0.304, 0.304],
},
{
month: "Mai",
values: [0.175, 0.173, 0.172, 0.17, 0.168, 0.167, 0.166, 0.166, 0.166],
},
{
month: "Juni",
values: [0.098, 0.097, 0.096, 0.095, 0.094, 0.093, 0.093, 0.093, 0.093],
},
{
month: "Juli",
values: [0.03, 0.029, 0.029, 0.029, 0.028, 0.028, 0.028, 0.028, 0.028],
},
{
month: "August",
values: [0.041, 0.041, 0.041, 0.04, 0.04, 0.04, 0.039, 0.039, 0.039],
},
{
month: "September",
values: [0.169, 0.168, 0.167, 0.164, 0.162, 0.161, 0.161, 0.161, 0.16],
},
{
month: "Oktober",
values: [0.311, 0.309, 0.307, 0.303, 0.299, 0.297, 0.296, 0.296, 0.295],
},
{
month: "November",
values: [0.471, 0.467, 0.465, 0.459, 0.453, 0.45, 0.448, 0.448, 0.447],
},
{
month: "Dezember",
values: [0.565, 0.562, 0.558, 0.551, 0.544, 0.54, 0.539, 0.538, 0.537],
},
];
const datasetZeitkonstante130: MonthData[] = [
{ month: "Januar", values: [0.567, 0.563, 0.560, 0.553, 0.545, 0.542, 0.540, 0.539, 0.539] },
{ month: "Februar", values: [0.540, 0.537, 0.533, 0.526, 0.520, 0.516, 0.515, 0.514, 0.513] },
{ month: "März", values: [0.457, 0.454, 0.451, 0.445, 0.439, 0.435, 0.435, 0.434, 0.434] },
{ month: "April", values: [0.322, 0.320, 0.318, 0.314, 0.310, 0.308, 0.307, 0.307, 0.306] },
{ month: "Mai", values: [0.176, 0.175, 0.174, 0.172, 0.169, 0.168, 0.168, 0.168, 0.167] },
{ month: "Juni", values: [0.098, 0.097, 0.096, 0.095, 0.094, 0.094, 0.094, 0.094, 0.094] },
{ month: "Juli", values: [0.030, 0.030, 0.029, 0.029, 0.028, 0.028, 0.028, 0.028, 0.028] },
{ month: "August", values: [0.042, 0.041, 0.041, 0.040, 0.040, 0.040, 0.040, 0.040, 0.040] },
{ month: "September", values: [0.170, 0.169, 0.168, 0.166, 0.164, 0.163, 0.162, 0.162, 0.162] },
{ month: "Oktober", values: [0.313, 0.311, 0.309, 0.305, 0.301, 0.300, 0.299, 0.298, 0.298] },
{ month: "November", values: [0.474, 0.471, 0.469, 0.462, 0.456, 0.454, 0.453, 0.451, 0.451] },
{ month: "Dezember", values: [0.570, 0.566, 0.563, 0.555, 0.548, 0.545, 0.543, 0.542, 0.542] },
{
month: "Januar",
values: [0.567, 0.563, 0.56, 0.553, 0.545, 0.542, 0.54, 0.539, 0.539],
},
{
month: "Februar",
values: [0.54, 0.537, 0.533, 0.526, 0.52, 0.516, 0.515, 0.514, 0.513],
},
{
month: "März",
values: [0.457, 0.454, 0.451, 0.445, 0.439, 0.435, 0.435, 0.434, 0.434],
},
{
month: "April",
values: [0.322, 0.32, 0.318, 0.314, 0.31, 0.308, 0.307, 0.307, 0.306],
},
{
month: "Mai",
values: [0.176, 0.175, 0.174, 0.172, 0.169, 0.168, 0.168, 0.168, 0.167],
},
{
month: "Juni",
values: [0.098, 0.097, 0.096, 0.095, 0.094, 0.094, 0.094, 0.094, 0.094],
},
{
month: "Juli",
values: [0.03, 0.03, 0.029, 0.029, 0.028, 0.028, 0.028, 0.028, 0.028],
},
{
month: "August",
values: [0.042, 0.041, 0.041, 0.04, 0.04, 0.04, 0.04, 0.04, 0.04],
},
{
month: "September",
values: [0.17, 0.169, 0.168, 0.166, 0.164, 0.163, 0.162, 0.162, 0.162],
},
{
month: "Oktober",
values: [0.313, 0.311, 0.309, 0.305, 0.301, 0.3, 0.299, 0.298, 0.298],
},
{
month: "November",
values: [0.474, 0.471, 0.469, 0.462, 0.456, 0.454, 0.453, 0.451, 0.451],
},
{
month: "Dezember",
values: [0.57, 0.566, 0.563, 0.555, 0.548, 0.545, 0.543, 0.542, 0.542],
},
];
// Für "Ohne Teilbeheizung" habe ich hier einfach 0 eingesetzt:
// Für "Ohne Teilbeheizung" habe ich hier einfach 0 eingesetzt:
const HeizLast = [0, 5, 10, 25, 50, 75, 100, 125, 150];
/**
* Linearly interpolates a value for the given x.
* @param x The heating load value (e.g., 82).
* @param values The array of y-values corresponding to heating loads.
* @param loads The array of heating load values (x-axis).
* @returns The interpolated value.
*/
function interpolate(x: number, values: number[], loads: number[]): number {
if (x <= loads[0]) return values[0];
if (x >= loads[loads.length - 1]) return values[values.length - 1];
const interpolatedValuesZeitkonstante90 = datasetZeitkonstante90.map((data) => {
const interpolate = nevillePolynomialInterpolation(
data.values.map((value, i) => ({ x: HeizLast[i], y: value })),
data.values.length
);
for (let i = 0; i < loads.length - 1; i++) {
if (x >= loads[i] && x <= loads[i + 1]) {
const x1 = loads[i];
const x2 = loads[i + 1];
const y1 = values[i];
const y2 = values[i + 1];
return {
month: data.month,
interpolatedValue: interpolate(125),
};
});
return y1 + ((x - x1) * (y2 - y1)) / (x2 - x1);
}
}
throw new Error("Interpolation error: Value is out of bounds.");
}
console.log(
datasetZeitkonstante90[0].values.map((value, i) => ({
x: HeizLast[i],
y: value,
}))
);
// Example: Interpolate for x = 82 und Zeitkonstante zwischen 90-130
const x = 82;
const interpolatedValuesZeitkonstante90 = datasetZeitkonstante90.map(data => ({
month: data.month,
interpolatedValue: interpolate(x, data.values, HeizLast)
}));
const interpolatedValuesZeitkonstante130 = datasetZeitkonstante130.map((data) => {
const interpolate = nevillePolynomialInterpolation(
data.values.map((value, i) => ({ x: HeizLast[i], y: value })),
data.values.length
);
// Example: Interpolate for x = 82 und Zeitkonstante >= 130
const x = 82;
const interpolatedValuesZeitkonstante130 = datasetZeitkonstante130.map(data => ({
month: data.month,
interpolatedValue: interpolate(x, data.values, HeizLast)
}));
return {
month: data.month,
interpolatedValue: interpolate(125),
};
});
console.log(interpolatedValuesZeitkonstante90);
console.log(interpolatedValuesZeitkonstante130);
// console.log(interpolatedValuesZeitkonstante130);