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Transcript
Background • • • • • Motor Description: 13.2kv, 7000hp, 3600rpm, FLA=253, LRA = 1563A Performed simulation by interrupting at current zero’s. A first, then B/C at their next current zero Phase A = Black, B=Red, C = Blue. Each slide shows line voltages (thick lines), pre-interruption currents (thin lines) and post-interruption motor-regenerated voltages (thin lines). You can distinguish between the latter two apart based on where they occur in time (before or after interruption) All voltages are referenced to power supply neutral (although there appears not much difference between power supply neutral and motor neutral). Continuity between motor and power supply after interruption for purposes of determining voltages is maintained by switching contacts to very high resistance value (rather than open circuit) which draws an insiginficant current. Capacitive effects are not considered, but I suspect capacitive effects will keep steady state motor neutral near earth ground (excluding possible high frequency ringing during interruption) which should be close to power supply neutral voltage anyway Voltages are normalized by dividing by peak line to neutral voltage = 13,200*sqrt(2/3). Currents are normalized by dividing by peak locked rotor current = 1563*sqrt(2) 1 Interruption from no-load condition steady-state Motor Terminal Voltages LineVoltages Currents 1 0.8 0.6 0.4 0.2 0 -0.25.99 -0.4 -0.6 -0.8 -1 Speed (hz)/60 Vap_pn/10778 Vbp_pn/10778 Vcp_pn/10778 Vam_pn/10778 Vbm_pn/10778 Vcm_pn/10778 6 6.01 6.02 6.03 6.04 I1as/2210 I1bs/2210 I1cs/2210 Interrupt Phase A Interrupt time B and C 2 Interruption from 80% load steady state Motor Terminal Voltages LineVoltages Currents 1 0.8 0.6 0.4 0.2 0 -0.23.99 -0.4 -0.6 -0.8 Interrupt -1 Phase A Speed (hz)/60 Vap_pn/10778 Vbp_pn/10778 Vcp_pn/10778 Vam_pn/10778 Vbm_pn/10778 Vcm_pn/10778 4 4.01 Interrupt B and time C 4.02 4.03 4.04 I1as/2210 I1bs/2210 I1cs/2210 3 Interrupt from 90% speed during acceleration unloaded. Motor Terminal Voltages LineVoltages Currents 1 0.8 0.6 0.4 0.2 0 4.43 -0.24.42 -0.4 -0.6 -0.8 Interrupt -1 Phase A Speed (hz)/60 Vap_pn/10778 Vbp_pn/10778 Vcp_pn/10778 Vam_pn/10778 Vbm_pn/10778 Vcm_pn/10778 4.44 time Interrupt B and C 4.45 4.46 4.47 I1as/2210 I1bs/2210 I1cs/2210 4 Interrupt from 60% speed during acceleration (load prop to speed^2 and 60% at full speed) LineVoltages Currents 1 0.8 0.6 0.4 0.2 0 -0.23.99 -0.4 -0.6 -0.8 Interrupt -1 A Phase Motor Terminal Voltages Speed (hz)/60 Vap_pn/10778 Vbp_pn/10778 Vcp_pn/10778 Vam_pn/10778 Vbm_pn/10778 Vcm_pn/10778 4 4.01 Interrupt B and C time 4.02 4.03 4.04 I1as/2210 I1bs/2210 I1cs/2210 5 Proposed intuitive explanation • • • • • • • See equivalent circuit next slide, and choose synrchonous ref frame Currents are initially dc. At moment of interruption the D and Q stator supplies are both open circuited. For no-load condition, the “dc” current which had been flowing through stator and magnetizing branch simply switches to the rotor branch (flows in same direction through magnetizing branch… direction of current flow in rotor branch is opposite normal). Magnitude of magnetizing branch current is unchanged and therefore magnitude of residual terminal voltage is unchanged from pre-interruption condition For loaded condition, similar phenomenon occurs, but the magnetizing branch must first overcome the initial rotor current through rotor leakage inductance flowing in normal direction. The higher inductance of magnetizing branch still wins, but the resulting magnetizing current is reduced. For starting condition, again similar, but now the magnetizing branch current must overcome a large rotor current flowing through rotor leakage inductance. Product of current and inductance is same order of magnitude (but opposite direction0, resulting in very small remaining magnetizing component and small remaining residual voltage. Note we have ignored the rotor induced speed voltage term (voltage source), which is approximately constant under the assumption that there is no change in magnetizing branch current… good assumption for no-load but not so good for interruption during start. When we consider the rotor induced voltage term it brings about cross-coupling in the 2 circuits and makes it too hard to solve intuitively… requires simulation 6 Krause’s equivalent circuit for transient analysis of SCIM. 0 0 qs = Lls*Iqs+Lm*(Iqs+Iqr) ds = Lls*Ids+Lm*(Ids+Idr) qr = Llr*Iqr+Lm*(Iqs+Iqr) dr = Llr*Idr+Lm*(Ids+Idr) w = ref frame radian speed * wr (Poles/2)* 2*pi* Rotor Speed ** Torque=1.5*P/2*Lm*(Iqs*Idr-Ids*Iqr) * Most convenient reference frame is synchronous i.e w = we = 2*pi*LF. In that case Vqs and Vds are dc. (With proper choice of supply phase, Vds = 0) ** note wr is NOT 2*pi*RotorSpeed, instead it is adjusted by number of pole pairs so that it matches we when rotor speed is zero 7 Practical application • We know breaker should be capable of interrupting motor at any time (no-load, full load, locked rotor, acceleration). But we are still trying to determine if some interrupting conditions may be more severe in terms of voltage across recentlyopened contacts. • Simplistic Conclusion: 1. For interruption near running speed, residual voltage is close to line voltage. Since motor field is very near sync speed, it doesn’t drift out of phase during time-frame of interest, no significant voltage across contacts 2. For interruption during start, residual voltage drifts out of phase much quicker, but is much smaller. In most cases expect less than 1*Vln across contact. Note for phase-tophase fault we would see 1*Vln or 1*VLL across the open contact. 3. Neglected capacitive effects… simplistic analysis 8 9