PL415100A1 - Method for the measurement of voltage time duration - Google Patents

Method for the measurement of voltage time duration

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Publication number
PL415100A1
PL415100A1 PL415100A PL41510014A PL415100A1 PL 415100 A1 PL415100 A1 PL 415100A1 PL 415100 A PL415100 A PL 415100A PL 41510014 A PL41510014 A PL 41510014A PL 415100 A1 PL415100 A1 PL 415100A1
Authority
PL
Poland
Prior art keywords
value
voltage
period
uii
time
Prior art date
Application number
PL415100A
Other languages
Polish (pl)
Inventor
Przemysław Krzyk
Original Assignee
Politechnika Krakowska im. Tadeusza Kościuszki
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Politechnika Krakowska im. Tadeusza Kościuszki filed Critical Politechnika Krakowska im. Tadeusza Kościuszki
Priority to PL415100A priority Critical patent/PL415100A1/en
Publication of PL415100A1 publication Critical patent/PL415100A1/en

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  • Measurement Of Current Or Voltage (AREA)
  • Analogue/Digital Conversion (AREA)

Abstract

W sposobie mierzy się n wartości chwilowych napięcia okresowego w równych odstępach czasu Ts w czasach t1, t2, t3, ... tn, gdzie ti=(i-1)Ts. Okres próbkowania Ts musi być mniejszy od połowy mierzonego okresu T napięcia, zaś czas pomiaru tn=(n-1)Ts musi obejmować minimum dwa pełne okresy T napięcia. Na podstawie otrzymanych z pomiarów wyników wyznacza się wartość okresu T napięcia równą wartości argumentu Tm funkcji celu, dla którego funkcja ta uzyskuje wartość minimalną. Wartość funkcji celu wyznaczana jest w następujących krokach: modyfikacja wartości czasów pomiarów do okresu [0,Tm), uśrednianie wartości napięć danych pomiarowych z powtarzającymi się zmodyfikowanymi czasami, odpowiedni podział danych na dwa ciągi, w których powtarza się tylko pierwsza uśredniona para danych pomiarowych w czasach 0 i Tm, interpolacja przebiegów czasowych napięć dla obydwu ciągów danych za pomocą funkcji sklejanych składających funkcji liniowych oznaczonych odpowiednio uI(t) i uII(t), wyznaczenia ostatecznej wartości funkcji celu według wzoru: (A),gdzie uI i uII są wartościami średnimi odpowiednio funkcji uI(t) i uII(t) na przedziale [0,Tm].In the method, n instantaneous values of periodic voltage are measured in equal intervals of time Ts at times t1, t2, t3, ... tn, where ti = (i-1) Ts. The sampling period Ts must be less than half of the measured voltage period T, while the measuring time tn = (n-1) Ts must include a minimum of two full voltage periods T. Based on the results obtained from the measurements, the voltage period T is determined equal to the value of the argument Tm of the purpose function for which the function obtains the minimum value. The value of the objective function is determined in the following steps: modification of the measurement time values up to the period [0, Tm), averaging the value of measurement data voltages with repeating modified times, the appropriate division of data into two strings in which only the first averaged measurement data pair is repeated times 0 and Tm, interpolation of voltage time histories for both data sequences using spline functions consisting of linear functions marked uI (t) and uII (t) respectively, determining the final value of the objective function according to the formula: (A), where uI and uII are values means of the functions uI (t) and uII (t) respectively on the interval [0, Tm].

PL415100A 2014-10-14 2014-10-14 Method for the measurement of voltage time duration PL415100A1 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
PL415100A PL415100A1 (en) 2014-10-14 2014-10-14 Method for the measurement of voltage time duration

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
PL415100A PL415100A1 (en) 2014-10-14 2014-10-14 Method for the measurement of voltage time duration

Publications (1)

Publication Number Publication Date
PL415100A1 true PL415100A1 (en) 2016-12-05

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Family Applications (1)

Application Number Title Priority Date Filing Date
PL415100A PL415100A1 (en) 2014-10-14 2014-10-14 Method for the measurement of voltage time duration

Country Status (1)

Country Link
PL (1) PL415100A1 (en)

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