XIX Sympozjum Srodowiskowe PTZE - materialy.pdf
XIX Sympozjum Srodowiskowe PTZE - materialy.pdf XIX Sympozjum Srodowiskowe PTZE - materialy.pdf
u1 i1 N1 u2 i2 N2 um i m Nm XIX Sympozjum PTZE, Worliny 2009 144 Φ 2 u1 u2 i1 i2 N1 N2 Fig. 1: Single-phase shell-type transformer Φ 2 Nm m i For determination of the magnetically nonlinear characteristic of iron core in form of the flux linkage characteristic [3], the numerical integration of measurement voltage and current waveforms must be conducted: t ( t) = ( u( ) −Ri( ) ) d ( 2) ∫ ψ τ τ τ 0 The measured voltage u1(t) and responding current i1(t) recorded during tests are shown in Fig. 2 a) and b). The calculated flux linkage and corresponding nonlinear hysteresis-loop characteristics ψ 1 = f ( i1) for different supplied voltages are shown in Fig. 3a. A uniform nonlinear magnetic characteristic determined from peaks of hysteresis-loops is shown in Fig. 3b. u[V] 200 150 100 50 0 -50 -100 -150 -200 0 100 200 300 400 t[s] 500 600 700 800 i[A] 0.4 0.3 0.2 0.1 0 -0.1 -0.2 -0.3 um -0.4 0 100 200 300 400 t[s] 500 600 700 800 Fig. 2a: Time waveform of primary voltage u1(t) Fig. 2b: Time waveform of primary current i1(t) Ψ[Vs] 0.5 0.4 0.3 0.2 0.1 0 -0.1 -0.2 -0.3 -0.4 -0.5 -0.4 -0.3 -0.2 -0.1 0 i[A] 0.1 0.2 0.3 0.4 Ψ[Vs] 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0 0.5 1 1.5 2 2.5 i[A] 3 3.5 4 4.5 5 Fig. 3a: Hysteresis-loop characteristics ψ1 (i1) Fig. 3b: Nonlinear magnetic characteristics ψ1 (i1)
XIX Sympozjum PTZE, Worliny 2009 The whole family of hysteresis-loop characteristics f ( i ) ψ 1 = 1 presented in Fig. 3a was experimentally determined at 10 different voltages. Taking into account the modeling of the secondary winding nonlinear characteristic ψ 2 = f ( i2) together with the nonlinear characteristics ψ 2 = f ( i1, i2) and ψ 1 = f ( i1, i2) , the complete magnetically nonlinear dynamic model can be developed. The modeling method for the primary and for the secondary winding considering real coefficient of coupling and the simulation results obtained by the developed nonlinear dynamic transformer model will be presented in the full paper for different transient phenomena. References [1] M. Hadžiselimović, G. Štumberger, T. Marčič, B. Štumberger, I. Zagradišnik, Magnetically nonlinear dynamic model of synchronous motor with permanent magnets. J. magn. magn. mater. 2007, vol. 316, pp. e257-e260. [2] M. Hadžiselimović, B. Štumberger, P. Virtič, P. Pišek, T. Marčič, G. Štumberger. Determining parameters of a two-axis permanent magnet synchronous motor dynamic model by finite element method. Prz. Elektrotech., 2008, vol. 84, no. 1, pp. 77-80. [3] M. Hadžiselimović, G. Štumberger, T. Marčič, B. Štumberger, I. Zagradišnik, Measurement of magnetic nonlinear characteristics of DC electromagnetic brake. Prz. Elektrotech., 2006, vol. 82, no. 12, pp. 76-79. 145
- Page 94 and 95: XIX Sympozjum PTZE, Worliny 2009 Fi
- Page 96 and 97: Conclusions XIX Sympozjum PTZE, Wor
- Page 98 and 99: XIX Sympozjum PTZE, Worliny 2009 Th
- Page 100 and 101: XIX Sympozjum PTZE, Worliny 2009 an
- Page 102 and 103: XIX Sympozjum PTZE, Worliny 2009 [3
- Page 104 and 105: H_zob 2. TFM geometry optimization
- Page 107 and 108: XIX Sympozjum PTZE, Worliny 2009 RE
- Page 109 and 110: XIX Sympozjum PTZE, Worliny 2009 BR
- Page 111 and 112: XIX Sympozjum PTZE, Worliny 2009 DI
- Page 113 and 114: XIX Sympozjum PTZE, Worliny 2009 NO
- Page 115 and 116: XIX Sympozjum PTZE, Worliny 2009 DY
- Page 117 and 118: XIX Sympozjum PTZE, Worliny 2009 IN
- Page 119: References XIX Sympozjum PTZE, Worl
- Page 122 and 123: XIX Sympozjum PTZE, Worliny 2009 ty
- Page 125 and 126: XIX Sympozjum PTZE, Worliny 2009 WY
- Page 127: 1000 100 10 H-Field 3D [nT] E-Field
- Page 130 and 131: Rys. 1. Rozpatrywany model (rysunek
- Page 132 and 133: The usual stimulation is done by ma
- Page 134 and 135: Literatura XIX Sympozjum PTZE, Worl
- Page 136 and 137: XIX Sympozjum PTZE, Worliny 2009 80
- Page 138 and 139: XIX Sympozjum PTZE, Worliny 2009 Th
- Page 140 and 141: a) b) 45 40 35 30 25 20 15 10 5 5 1
- Page 142 and 143: XIX Sympozjum PTZE, Worliny 2009 Th
- Page 147 and 148: XIX Sympozjum PTZE, Worliny 2009 A
- Page 149 and 150: Introduction XIX Sympozjum PTZE, Wo
- Page 151 and 152: XIX Sympozjum PTZE, Worliny 2009 IM
- Page 153 and 154: Introduction XIX Sympozjum PTZE, Wo
- Page 155 and 156: XIX Sympozjum PTZE, Worliny 2009 PE
- Page 157 and 158: XIX Sympozjum PTZE, Worliny 2009 WP
- Page 159: Tmax(K) 24 20 16 12 8 4 0 0.0004 0.
- Page 162 and 163: XIX Sympozjum PTZE, Worliny 2009 Ws
- Page 164 and 165: XIX Sympozjum PTZE, Worliny 2009 ce
- Page 166 and 167: XIX Sympozjum PTZE, Worliny 2009 Za
- Page 168 and 169: XIX Sympozjum PTZE, Worliny 2009
- Page 170 and 171: XIX Sympozjum PTZE, Worliny 2009 ch
- Page 173 and 174: XIX Sympozjum PTZE, Worliny 2009 KO
- Page 175: XIX Sympozjum PTZE, Worliny 2009 PO
- Page 178 and 179: XIX Sympozjum PTZE, Worliny 2009 an
<strong>XIX</strong> <strong>Sympozjum</strong> <strong>PTZE</strong>, Worliny 2009<br />
The whole family of hysteresis-loop characteristics f ( i )<br />
ψ 1 = 1 presented in Fig. 3a was<br />
experimentally determined at 10 different voltages. Taking into account the modeling of the<br />
secondary winding nonlinear characteristic ψ 2 = f ( i2)<br />
together with the nonlinear<br />
characteristics ψ 2 = f ( i1, i2)<br />
and ψ 1 = f ( i1, i2)<br />
, the complete magnetically nonlinear dynamic<br />
model can be developed. The modeling method for the primary and for the secondary winding<br />
considering real coefficient of coupling and the simulation results obtained by the developed<br />
nonlinear dynamic transformer model will be presented in the full paper for different transient<br />
phenomena.<br />
References<br />
[1] M. Hadžiselimović, G. Štumberger, T. Marčič, B. Štumberger, I. Zagradišnik, Magnetically<br />
nonlinear dynamic model of synchronous motor with permanent magnets. J. magn. magn.<br />
mater. 2007, vol. 316, pp. e257-e260.<br />
[2] M. Hadžiselimović, B. Štumberger, P. Virtič, P. Pišek, T. Marčič, G. Štumberger.<br />
Determining parameters of a two-axis permanent magnet synchronous motor dynamic model<br />
by finite element method. Prz. Elektrotech., 2008, vol. 84, no. 1, pp. 77-80.<br />
[3] M. Hadžiselimović, G. Štumberger, T. Marčič, B. Štumberger, I. Zagradišnik, Measurement of<br />
magnetic nonlinear characteristics of DC electromagnetic brake. Prz. Elektrotech., 2006, vol.<br />
82, no. 12, pp. 76-79.<br />
145
Change language