Управление качеством переходных процессов в многосвязных системах. Задание на курсовое проектирование, страница 7

X_dI_d + E_q = U₀cosd₀                                                                            (2.22)

X_qI_q = U₀sind₀                                                                                    (2.23)

T_j                                                                                                                                                    — p² d = M_т  – M_e                                                                              (2.24)                w_c

T_rp [ E_q – (X_d–X'_d)I_d] + E_q = E_r                                                           (2.25)

Линеаризованные уравнения переходных процессов электропередачи, работающей на мощную приемную систему запишутся в виде:

X_dDI_d +DE_q = U_шd0Dd                                                                          (2.26)

 T_j               ¶P          ¶P                                                                                      —– p²Dd + — Dd + ––– DE_q = 0                                                       (2.27)                   w_c               ¶d          ¶E_q

T_rp[ DE_q – (X_d – X'_d)DI_d] +DE_q = DE_r                                                  (2.28)

где U_шd0 = – U₀sind₀

Уравнение движения в полных единицах:

 T_j                                                                                                                       — p²d=M_т – M_e                                                                                 (2.29)                w_c

в относительных единицах М_е = P

P = E_QI_q = M_e                                                                                     (2.30)

Используя статорное уравнение  X_qI_q = U₀ sind₀, имеем:

       U₀                                                                                                                     I_q= ––– sind₀                                                                                      (2.31)                 X_q

Необходимо привести уравнение (2.27) к базисным переменным. Тогда:

     E_qU₀                                                                                                            P = ——– sind₀                                                                                   (2.32)                      X_q

Поскольку линеаризовать необходимо по E_q, то:

E_Q = E_q+I_d(X_d – X_q)                                                                            (2.33)

      E_qU₀               I_d(X_d – X_q)U₀                                                                       P = ——– sind₀ + —————— sind₀                                               (2.34)                  X_q                         X_q

Уравнение движения:

T_j                    T_j            E_qU₀              I_d(X_d – X_q)U₀                                            — p² d + P = — p²d + –––— sind₀ + —————— sind₀                (2.35)                w_c                    w_c              X_q                         X_q