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FUNCTION_BLOCK "FbDeriveF"
TITLE = 'Ïðîèçâîäíàÿ ñ ôèëüòðîì.'
{ S7_read_back := 'true' ;
S7_blockview := 'big' }
AUTHOR : VA
FAMILY : LIB_PLC
VERSION : '2.2'
VAR_INPUT // Âõîäíûå ïåðåìåííûå, ñîõðàíÿåìûå.
In :REAL := 0.0; // Âõîäíîé ñèãíàë.
Kdf :REAL := 1.0; // Êîýôôèöèåíò ôèëüòðàöèè äèôôåðåíöèàëüíûé Kdf=1/Tdf.
Ts :REAL := 0.1; // Øàã äèñêðåòèçàöèè ïî âðåìåíè [ñ].
END_VAR
VAR_OUTPUT // Âûõîäíûå ïåðåìåííûå, ñîõðàíÿåìûå.
Out :REAL := 0.0; // Âûõîäíîé ñèãíàë.
END_VAR
VAR // Âíóòðåííèå ïåðåìåííûå, ñîõðàíÿåìûå.
Dintegral :REAL := 0.0; // Èíòåãðàòîð.
END_VAR
BEGIN
// Ïðîèçâîäíàÿ ñ ôèëüòðîì.
// DbDeriveF
// +-----------+
// | FbDeriveF |
// ->-|In Out|->-
// -|Kdf |
// -|Ts |
// +-----------+
// W(s)=s/(1+Tdf*s) ïðè Tdf=1/Kdf è Ts->0.
IF (Kdf <= 0.0) THEN
Dintegral := 0.0;
Out := 0.0;
ELSE
Out := (In - Dintegral) * Kdf;
Dintegral := Dintegral + (Ts * Out);
END_IF;
// Âíóòðåííÿÿ ñõåìà ôèëüòðà.
//
// Âû÷èòàíèå Óìíîæåíèå
// +---+ +------+
// In ----->--| + | | |
// | |-->--| *Kdf |-->----+-->-- Out
// +-->--| - | | | |
// | +---+ +------+ |
// | |
// | Èíòåãðèðîâàíèå |
// | +----------+ |
// | Dintegral | Ts * z | |
// +--------------| -------- |----+
// | z - 1 |
// +----------+
// Óñëîâíîå ãðàôè÷åñêîå îáîçíà÷åíèå (ïðèáëèæåííîå).
//
// +-----------------+
// | s |
// ->-| --------------- |->-
// | (1/Kdf) * s + 1 |
// +-----------------+
// Ýëåêòðè÷åñêàÿ ñõåìà ôèëüòðà.
//
// + || C +
// o----||----o---------o
// || |
// U In | U Out
// +-+
// | | R
// | |
// +-+
// |
// - | -
// o----------o---------o
// Tf = 1/Kdf = R * C ([ñ] = [Îì] * [Ô])
// Âðåìåííàÿ õàðàêòåðèñòèêà.
//
// ^ Out
// |
// 1* Y(t) = 0 - exp(-(t/Tf))
// | *
// | *
// | *
// | *
// 0---------***---> t[s]
//
// ^ In
// |
// 1************ X(t) = 1
// |
// |
// |
// |
// 0---------------> t[s]
// @COPYLEFT ALL WRONGS RESERVED :)
// Author: VA
// Contacts: DIY.PLC.314@gmail.com
// Date start LIB_PLC: 2014
// License: GNU GPL-2.0-or-later
// https://www.gnu.org/licenses/old-licenses/gpl-2.0.html
// https://www.youtube.com/watch?v=n1F_MfLRlX0
// https://www.youtube.com/@DIY_PLC
// https://github.com/DIYPLC/LIB_PLC
// https://oshwlab.com/diy.plc.314/PLC_HW1_SW1
// https://3dtoday.ru/3d-models/mechanical-parts/body/korpus-na-din-reiku
// https://t.me/DIY_PLC
// https://drive.google.com/drive/folders/16GDX0i07rwDrl_oPzL-lQAqMiAz3ouJV?usp=sharing
END_FUNCTION_BLOCK