APPENDIX A: 10 Machine System Data

Transcription

1 APPENDIX A: 10 Machine System Data The single line diagram, bus data, line, generator and excitation system data are given in the following pages. They are taken from Athay et a1 [ TABLE A.1 BUS DATA Bus Type Volts Load Load Gen Gen (O=P-Q) MW MVAR Load MVAR (l=p-v)

2 t 25 I 26 I I 28 I I ] +-38 I i Q0 1 I 17 I ~--..., 39 -I---_---,r--1_6 ~ I 3 (Ei) I "i) 15 35~ I + ~ ,_4+- I 14 I 1 9 o 5 7 -r tl 3-1 T"""" TTL l i 20*1. i36 1 L--=r 11 -L 0) ;;...8.J ~ Fig. A.1 10 unit 39 bus New England test system. N N.". t'l Z t'l ~ >< 'oz:i c:: Z C'l...; H o Z!l; ~ >< (Il H (Il

3 APPENDIX A 225 TABLE A.2 LINE DATA FOR 10 UNIT SYSTEM Line Data Transformer Tap Bus Bus Resistance Reactance Susceptance Magnitude Angle

4 226 ENERGY FUNCTION ANALYSIS TABLE A.3 DETAILED MODEL UNIT DATA 10 UNIT SYSTEM Unit No. H R x' x' xd x T' T' a xr. (sec) d q q do qo TABLE A.4 DETAILED MODEL UNIT EXCITATION SYSTEM DATA 10 UNIT SYSTEM Unit No. KA TA V RMIN V RMAX I): TE KF TF C1 C NOTE: A & B in Figure A.2 are computed as follows: V EX2 _ RMAX EX 1 =.75 EX2 - ~+C2 B = R.n(C2/Cl)/ (EX 2 - EX 1 ), A= C2/eB EX2 Unit #1 has constant excitation.

5 APPENDIX A 227 Figure A.2 - IEEE Type 1 rotating excitation system model

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15 INDEX A Acceleration area, 71 Acceleration method, 147 Advanced machines, 196 Artificial intelligence, 221 B Bus injected power, 128 Center of inertia, 27 Center of speed, 53 Closest u.e.p, 151 Classical machine representation, 45 Contingency analysis, 208 Controlling u.e.p, 8,196 Corner point, 196 Conservative system, 27 Critical cluster, 70 Critical clearing time, 7 Critical energy, 117,152 Critical machine, 196 Cutset stability criterion, 60 Deceleration area, 71 Decomposition-aggregation, 73 Distribution factor, 216 Dynamic security assessment, 2,206 Eigenvalues, 166 Eigenvector, 168 Energy function Cutset, 58 Individual machine, 31 Group, 51 Reduced order, 49 Single machine infinite bus, 15 C D E Structure preserving, 35 Time-scale, 74 Quasi-analytical, 123 Energy integral, 44 Equal area criterion, 14 Extended equal area criterion, 70,206 Excitation system, 127 Exit point, 154 Fast energy function, 79 First integral of motion, 29 Flux decay model, 88,96 Frequency dependent loads, 41 Frequency equilibrium, 192 Generalized potential energy, 119 Global center of angle, 74 Gradient system, 184 Hessian, 142,176 Hyperplane, 147,159 Hyperbolic equilibrium point, 146 Hypersurface, 159 F G H Internal nodes, 22 Internodal angles, 59,139 Jacobian matrix, 150 Jacobian, load flow, 216 Kinetic energy, 16 I J K

16 240 INDEX Loads Constant impedance, 22 Frequency dependent, 41 Voltage dependent, 133 Local center of angle, 76 Lyapunov function, 29,140 Machine model, 114 Mode of instability, 195,201 Normalized energy margin, 198 Numerical Lyapunov function, 117 Parallel processing, 221 Parameter variations method of, 92 Path dependent integral, 30 Potential energy, 40 Potential energy boundary surface, 83,172,178 Potential energy margin normalized Potential energy "well", 174 Pseudo-corner point, 196 L M N p Region, 146 Stable equilibrium point, 54,192 Stable manifold, 147 Step-by-step simulation, 100 T Tangent hyperplane, 155 Transient energy margin, 215 Transient stability index, 2 Transient kinetic energy, 46 Transient reactance, 22,49 Transfer conductance, 27,106 Transversality condition, 147 Trapezoidal rule, 183 Unstable equilibrium point, 8 Vulnerable cutset, 62 U V Quasi-unstable equilibrium point, 72 Q Region of attraction, 7 Relevant u.e.p, 8 Rotor angle, 26 Saddle-type e.p, 174 Sensitivity, 209,210,217 Separatrix, 167 Slow energy function, 79 Slow coherency, 75 Stability First swing, 21 Boundary, 146 R S