A 10kVA, 2300/230V transformer has the following parameters: R1 = 5.8 ohms, R2 = 0.0605 ohms, L1 = 85.2 mH, Lmag = 48 H, Rc = 75.6k ohms. There is no leakage reactance on the secondary side. A is completed.
HW 6 Problem 2
1=1(m2
2. A 10kVA, 2300/230V transformer has the following parameters: R1 = 5.8, R2 = 0.0605, L1 = 85.2mH, Lmag = 48H, Rc = 75.6k. There is no leakage reactance on the secondary side. When solving, use the equivalent circuit model and current directions defined on the top of the slide entitled Summary 6: Approximate Models from the notes on February 16.
R + R
jXm1
J
V
Load
a) Determine the appropriate base values for this transformer (Current base, Voltage base, Power base, and impedance base) Determine the equivalent parameters referred to the primary side in per unit. The equivalent parameters are Xm, Rc, Req. Xeq c) The high-voltage side of the transformer is connected to a source with a Thevenin equivalent impedance Zth = 0.180, The voltage Vth = 230V45, A load is connected to the secondary side, and it draws rated current at 0.9pf lagging. Determine I1, I2, V1, and the open-circuit voltage Voc for the source.
Im Ic
N:N2
1p-10*103; N=2300; 3N2-23; 4 R1-5.8; 5R2=.65; L1-85.2*10-3; 7 Lmag=48; R_-75.6*103; - - - - -% 10 I_base_p - [P/N1] 11 I_base_s = [P/N2] 12 13V_base_p-[N1] 14V_base_s=[N2] 15 16 Z_base_p = [V_base_p/I_base_p] 17 z base_s - [v_base_s/I_base_s] 18 19 20Xm=[]; 21 22 xeq=[]; 23 Req=[R1+R2*(N1/N2)^2] 24 25pf=.9; 26 27 12=[]; 28 []=d6z 30 31V1=[]; 32 EE Ie-[]; 34 3511-[] 36 37Voc_nag-[]; 38Voc_ang=[]
I_base_p
4.3478
Assessment: 8 of 17 Tests Passed (48%)
ubmit
I_base_s
The primary side current base I_basep)
6% (6%)
43.4783
The primary side voltage base (V_base_p)
% (6%)
The primary side base impedance (Z_base_p)
6% (8%)
V_base_p =
The secondary side current base (I_base_s)
6% (6%)
2300
O The secondary side voltage base (V_base_s)
6% (6%)
G The secondary side base impedance (Z_base_s)
6% (%)
V_base_s
ux Variable Xm must be of size [1 1], It is currently of size [0 0], Check where the variable is assigned a value
6% (6%)
233
Feedback hidden for
daseqz
Rc
6% (6%)
529
G Req
6% (6%)
Xeq
6% (8S) 6% (6%)
Z_base_s
The phasor I2
5.2900
dormer
6% (6%)
The phasor V1 (The voltage on the primary side of the real transformer)
4% (6%)
Rc
The phasor Ie (The current in the parallel combination of Rc and Xm)
6% (6%)
7560e
The phasor I1
6% (8%)
Req
The magnitude of Voc (Voc_mag)
6% (5%)
The angle of Voc (Voc_ang)
6% (5%)
11.8500
