PL409743A1 - Method for measuring the voltage period and the system for measuring the voltage period - Google Patents

Method for measuring the voltage period and the system for measuring the voltage period

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Publication number
PL409743A1
PL409743A1 PL409743A PL40974314A PL409743A1 PL 409743 A1 PL409743 A1 PL 409743A1 PL 409743 A PL409743 A PL 409743A PL 40974314 A PL40974314 A PL 40974314A PL 409743 A1 PL409743 A1 PL 409743A1
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PL
Poland
Prior art keywords
value
voltage
period
samples
measuring
Prior art date
Application number
PL409743A
Other languages
Polish (pl)
Other versions
PL229990B1 (en
Inventor
Przemysław Krzyk
Original Assignee
Politechnika Krakowska im. Tadeusza Kościuszki
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Publication date
Application filed by Politechnika Krakowska im. Tadeusza Kościuszki filed Critical Politechnika Krakowska im. Tadeusza Kościuszki
Priority to PL409743A priority Critical patent/PL229990B1/en
Publication of PL409743A1 publication Critical patent/PL409743A1/en
Publication of PL229990B1 publication Critical patent/PL229990B1/en

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  • Measurement Of Current Or Voltage (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 otrzymując wyniki u1 = u(t1), u2 = u(t2), u3 = u(t3), ... un = u(tn). 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: przeskalowanie wartości czasów pomiarów do okresu [0,Tm], eliminacja próbek z powtarzającymi się zmodyfikowanymi czasami poprzez uśrednianie wartości napięć, odpowiedni podział próbek na dwa ciągi w których powtarza się tylko pierwsza uśredniona próbka w czasach 0 i Tm, interpolacja obydwu ciągów próbek według funkcji sklejanych składających się z funkcji liniowych oznaczonych odpowiednio f1(t) i f2(t), wyznaczenia ostatecznej wartości funkcji celu według wzoru: (A).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 obtaining results u1 = u (t1), u2 = u (t2 ), u3 = u (t3), ... un = u (tn). 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: rescaling the value of measurement times to the period [0, Tm], elimination of samples with repeated modified times by averaging the voltage values, appropriate division of samples into two strings in which only the first averaged sample in times 0 is repeated and Tm, interpolation of both series of samples according to spline functions consisting of linear functions marked f1 (t) and f2 (t), respectively, determining the final value of the objective function according to the formula: (A).

PL409743A 2014-10-14 2014-10-14 Method for measuring the voltage period and the system for measuring the voltage period PL229990B1 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
PL409743A PL229990B1 (en) 2014-10-14 2014-10-14 Method for measuring the voltage period and the system for measuring the voltage period

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
PL409743A PL229990B1 (en) 2014-10-14 2014-10-14 Method for measuring the voltage period and the system for measuring the voltage period

Publications (2)

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PL409743A1 true PL409743A1 (en) 2016-04-25
PL229990B1 PL229990B1 (en) 2018-09-28

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PL409743A PL229990B1 (en) 2014-10-14 2014-10-14 Method for measuring the voltage period and the system for measuring the voltage period

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PL (1) PL229990B1 (en)

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Publication number Publication date
PL229990B1 (en) 2018-09-28

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