104 lines
2.6 KiB
C++
104 lines
2.6 KiB
C++
#include <iostream>
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#include <Eigen/Dense>
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#define M_PI 3.14159265358979323846 // pi
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using namespace Eigen;
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#define STATE_VARS 3*2 // Ñàìè ïåðåìåííûå è èõ ïðîèâçîäíûå
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#define PHI 5 // Êîëè÷åñòâî óçëîâ â ñõåìå
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#define EDS 2 // Êîëè÷åñòâî èñòî÷èêîâ íàïðÿæåíèÿ
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#define MATRIX_DIM STATE_VARS+PHI+EDS // Ðàçìåðíîñòü ÿêîáèàíà
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const double TK = 1e-3; // âðåìÿ ðàñ÷åòà
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const double T_Start = 1e-10; // íà÷àëüíûé øàã
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const double SMN = 1e-15; // ìèíèìàëüíûé øàã
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const double ACR = 1e-2; // òî÷íîñòü
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// Ïàðàìåòðû ìîäåëè
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double TAU = 5e-9;
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double MFt = 0.026;
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double C1 = 0.1;
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double Cb = 2e-12;
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double L = 0.001;
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double R1 = 1000;
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double R2 = 10000;
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double Ru = 1e+6;
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double Rb = 20;
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double It = 1e-12;
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double IL_prev = 0;
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double UC1_prev = 0;
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double UCb_prev = 0;
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double E2 = 5.;
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// Ñèíóñîèäàëüíûé èñòî÷íèê òîêà
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double E1(double t) {
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const double amplitude = 10.0;
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const double period = 1e-4;
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const double frequency = 2 * M_PI / period;
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const double phase = 0.0;
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return amplitude * sin(frequency * t + phase);
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}
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// ßêîáèàí
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MatrixXd Y = MatrixXd::Zero(MATRIX_DIM, MATRIX_DIM);
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// Âåêòîð íåâÿçîê
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VectorXd N = VectorXd::Zero(MATRIX_DIM);
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// Âåêòîð ïîïðàâîê
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VectorXd X = VectorXd::Zero(MATRIX_DIM);
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void Jacobian(double dt) {
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Y(0, 0) = 1, Y(0, 3) = -1. / dt;
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Y(1, 1) = 1, Y(1, 4) = -1. / dt;
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Y(2, 2) = 1, Y(2, 5) = -1. / dt;
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Y(3, 3) = 1., Y(3, 0) = -1.;
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Y(4, 4) = 1., Y(4, 8) = -1., Y(4, 9) = 1.;
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Y(5, 2) = L, Y(5, 7) = -1., Y(5, 10) = 1.;
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Y(6, 6) = 1. / R1, Y(6, 7) - 1. / R1, Y(6, 11) = -1.;
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Y(7, 5) = 1., Y(7, 6) = -1. / R1, Y(7, 7) = 1. / R1 + 1. / Rb, Y(7, 8) = -1. / Rb;
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Y(8, 1) = Cb, Y(8, 7) = -1. / Rb, Y(8, 8) = 1. / Rb + 1. / Ru, Y(8, 9) = -1. / Ru;
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Y(9, 1) = -Cb, Y(9, 8) = -1. / Ru, Y(9, 9) = 1. / Ru, Y(9, 11) = 1.;
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Y(10, 0) = C1, Y(10, 5) = -1., Y(10, 10) = 1. / R2;
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Y(11, 6) = -1.;
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Y(12, 9) = -1.;
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}
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// 0 - 2 ïðîèçâîäíûå
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// 3 - 5 ïåðåìåííûå ñîñòîÿíèÿ
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// 6 - 10 óçëû
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// 11 - 12 òîêè íà ÝÄÑ
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// Ðàñ÷¸ò âåêòîðà íåâÿçêè
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void nevyzka(double dt, double cur_time) {
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N(0) = X(0) - (X(3) - UC1_prev) / dt;
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N(1) = X(1) - (X(4) - UCb_prev) / dt;
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N(2) = X(2) - (X(5) - IL_prev) / dt;
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N(3) = X(3) - X(10);
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N(4) = X(4) - (X(8) - X(9));
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N(5) = X(5) * L - (X(7) - X(10));
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N(6) = -X(11) + (X(6) - X(7)) / R1;
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N(7) = -(X(6) - X(7)) / R1 + X(5) + (X(7) - X(8)) / Rb;
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N(8) = -(X(7) - X(8)) / Rb + It + (X(8) - X(9)) / Ru + Cb * X(1);
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N(9) = -It - (X(8) - X(9)) / Ru - Cb * X(1) + X(11);
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N(10) = -X(5) + C1 * X(0) + X(10) / R2;
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N(11) = E1(cur_time) - X(6);
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N(12) = E2 - X(9);
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}
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int main() {
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Jacobian(0.1);
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nevyzka(0.1, 0);
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std::cout << Y << std::endl << N;
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} |