Ein Modell des Asynchronmotors mit Hochstabläufer-Effekt und Sättigung der Streuinduktivität
Übersicht Es wird ein zweisträngiges Modell eines Asynchronmotors abgeleitet, das Wirbelströme in den Läuferstäben und die Sättigung der Streuinduktivität berücksichtigt. Grundlage des Modells ist eine angenäherte Analyse der Felder im Luftspalt und in den Nuten, die direkt auf Gleichungen mit konzentrierten Elementen führt. Es werden neue Ausdrücke für die Abhängigkeit der doppeltverketteten und der Nutstreuung von der Sättigung angegeben. Das Modell wird für die Berechnung stationärer und dynamischer Vorgänge bei einem großen Asynchronmotor angewendet.
List of Symbols A magnetic vector potential - B flux density - G describing function - g air-gap length - H magnetic field intensity - I Om rotor saturation current - I r rotor current matrix - l r j current in thejth rotor slot - l rm amplitude of the fundamental ofI bir j distribution - I rr rotor harmonic conceptual current matrix - I s stator current matrix - I ss stator harmonic conceptual current matrix - i mne m, nth modal eddy current in thejth rotor slot - i nb nth harmonic conceptual current at the interface betweenjth rotor slot and slot neck regions - i n rj nth harmonic conceptual current at the opening of thejth rotor slot - i n sj nth harmonic conceptual current at the opening of thejth stator slot - i Ob rotor zero order conceptual current matrix - i Oi j conceptual current at thejth rotor slot due to daturation of the tooth tips - K nw nth harmonic winding distribution factor effective length of the motor - L nc self inductance of the eddy current modei One j - L r rotor inductance matrix - L s stator inductance matrix - P p pole pitch - M ne mutual inductance betweeni One j andI r j and rotor modal eddy currents - M ri mutual inductance matrix between rotor winding and rotor conceptual winding due to saturation of the tooth tips - M rr mutual inductance matrix between rotor winding and rotor conceptual winding - M rss mutual inductance matrix between rotor winding and stator conceptual winding - M si mutual inductance matrix between stator winding and rotor conceptual winding due to saturation of the rotor tooth tips - M sr mutual inductance matrix between stator and rotor windings - M srr mutual inductance matrix between stator winding and rotor conceptual winding - M ss mutual inductance matrix between stator winding and stator conceptual winding - N 1,N 2 number of stator and rotor slots - R ne resistance of eddy current modei One j - R r rotor resistance matrix - R s stator resistance matrix - s 1,d 1 dimensions of a stator slot - s 2,d 2 rotor slot opening and rotor slot neck height - s b ,d b dimensions of a rotor bar - s p slot pitch - N c number of turns per slot - U s applied voltage matrix - q number of slots per pole phase group - rotor flux linkage matrix - ys stator flux linkage matrix - , inductance coefficients - O angular position - conductivity of rotor bars - eigenvalues - resistivity of rotor bars 相似文献
To simulate the magnetic and electric fields produced by RF coil geometries commonly used at low field. Based on these simulations, the specific absorption rate (SAR) efficiency can be derived to ensure safe operation even when using short RF pulses and high duty cycles.
MethodsElectromagnetic simulations were performed at four different field strengths between 0.05 and 0.1 T, corresponding to the lower and upper limits of current point-of-care (POC) neuroimaging systems. Transmit magnetic and electric fields, as well as transmit efficiency and SAR efficiency were simulated. The effects of a close-fitting shield on the EM fields were also assessed. SAR calculations were performed as a function of RF pulse length in turbo-spin echo (TSE) sequences.
ResultsSimulations of RF coil characteristics and B1+ transmit efficiencies agreed well with corresponding experimentally determined parameters. Overall, the SAR efficiency was, as expected, higher at the lower frequencies studied, and many orders of magnitude greater than at conventional clinical field strengths. The tight-fitting transmit coil results in the highest SAR in the nose and skull, which are not thermally sensitive tissues. The calculated SAR efficiencies showed that only when 180° refocusing pulses of duration ~ 10 ms are used for TSE sequences does SAR need to be carefully considered.
ConclusionThis work presents a comprehensive overview of the transmit and SAR efficiencies for RF coils used for POC MRI neuroimaging. While SAR is not a problem for conventional sequences, the values derived here should be useful for RF intensive sequences such as T1ρ, and also demonstrate that if very short RF pulses are required then SAR calculations should be performed.
相似文献Analyse der Pumpe für ein flüssiges Metall
Übersicht Im Beitrag wurde die Methode der finiten Elemente zur Bestimmung der Verteilung des elektromagnetischen Feldes in einer zylindrischen Pumpe für ein flüssiges Metall verwendet. Man hat den Einfluß des Erregerstroms, der Kanalbreite und der Leitfähigkeit des zum Aufbau des Kanals benutzten Stoffes — auf die dynamischen Parameter dieser Pumpe untersucht. Die erhaltenen Ergebnisse hat man in Form von Diagrammen dargestellt.
List of symbols A vector potential - A vector potential (complex r.m.s. value) - A z-component of vector potential (complex r.m.s. value) - A i ,A j ,A k vector potential values in nodal pointsi, j, k (complex r.m.s. values) - B magnetic induction - B magnetic induction (complex r.m.s. value) - B x ,B y components of magnetic induction (complex r.m.s. values) - F t electrodynamic force - F mean force - F a alternating force - F x ,F y components of the mean force - conductivity of the liquid metal - J current density (complex r.m.s. value) - J a current density - J w exciting current linear density (complex r.m.s. value) - l length of the channel - magnetic permeability of the liquid metal - M torque acting upon the liquid metal - current pulsation - p pressure of transported metal - Q pump efficiency - v x ,v y components of the liquid metal's velocity in the 0X and 0Y direction - z * conjugate complex number ofz 相似文献