电机定子和转子的建模与仿真.doc

建模与仿真作业题目（一）姓名：张 娇专业：电研-11学号：2011301350117建模与仿真演讲作业1如下图所示直流电机电路图，电机转动惯量为J,电机扭矩方程为转子电流方程为：定子电流方程：直流电机电路示意图回答：1. 将如上方程写为的状态空间模型形式。2. 求解在Ua= 2V ，Ue= 2V的输入条件下，系统稳定的转速和ia,ie大小？3. 在2稳定条件下，若Ua和Ue从第5秒均变为5V，试求10s内的转子转速的动态数值解，并给出转子电流和定子电流数值解。解：1. 为计算和书写方便，现假定 F=1, J=1,K1=K2=1, La=Le=1,Ra=Re=1 选取状态变量为： 转速w、转子电流ia、定子电流ie 输入量：转子电压Ua 、定子电压Ue则系统的状态方程：2.设Ua= Ue=2,系统在similink下的仿真如下：则仿真结果为：u ia如scope所示： 由此图可知转子电流ia在5s后达到稳定值0.4。u ie如scope1所示：由此图可知定子电流ie在5s后达到稳定值2。u w如scope2所示：由此图可知转速w在5s后达到稳定值0.8。3.假设： Ua、 Ue的值从第5秒突然从2跳变到5，系统在similink下仿真，仿真图如题2所示，修改参数Ua、 Ue值如下：则状态量相应的仿真曲线如下：u ia如scope所示：由图可知转子电流ia出现震荡跳变，最后趋向于0.2。u ie如scope1所示：由图可知定子电流ie随着跳变而变化最后趋向于5。u w如scope2所示：由图可知转速w出现震荡跳变，并最终趋向于1。求解系统变量的数值解的M文件如下所示：function xdot=lisan_shuzhi_jie(t,x)if t5 xdot=-x(1)+x(2)*x(3); -x(1)*x(3)-x(2)+5; -x(3)+5;end注：x(1)代表转子转速w；x(2)代表转子电流ia；x(3)代表定子电流ie；系统参数初值Ua=2V,Ue=2V,在第5秒时Ua变为5V,Ue变为5V在MATLAB的运行窗口中输入 ode23(lisan_shuzhi_jie,0,10,0;0;0.4),grid on回车后得到10s内系统状态的离散曲线如下图所示：对应的数值解如下所示：- 6 -xdot= 0 2.0000 1.6000xdot = 0.0000 2.0000 1.6000xdot = 0.0000 1.9999 1.6000xdot = 0.0000 1.9999 1.5999xdot = 0.0001 1.9997 1.5998xdot = 0.0002 1.9996 1.5997xdot = 0.0002 1.9995 1.5996xdot = 0.0006 1.9985 1.5988xdot= 0.0008 1.9980 1.5984xdot = 0.0010 1.9975 1.5980xdot = 0.0030 1.9925 1.5940xdot = 0.0040 1.9900 1.5920xdot = 0.0051 1.9876 1.5900xdot = 0.0125 1.9703 1.5763xdot = 0.0162 1.9619 1.5696xdot = 0.0201 1.9533 1.5627xdot = 0.0284 1.9360 1.5489xdot = 0.0324 1.9275 1.5422xdot = 0.0368 1.9189 1.5354xdot = 0.0459 1.9013 1.5215xdot = 0.0504 1.8927 1.5147xdot = 0.0552 1.8840 1.5078xdot = 0.0669 1.8631 1.4914xdot = 0.0726 1.8529 1.4834xdot = 0.0787 1.8426 1.4753xdot = 0.0950 1.8160 1.4546xdot = 0.1028 1.8031 1.4446xdot = 0.1113 1.7899 1.4344xdot = 0.1340 1.7559 1.4083xdot = 0.1446 1.7395 1.3959xdot = 0.1566 1.7226 1.3831xdot = 0.1887 1.6785 1.3499xdot = 0.2031 1.6571 1.3345xdot = 0.2200 1.6352 1.3183xdot = 0.2669 1.5755 1.2750xdot = 0.2866 1.5467 1.2555xdot = 0.3111 1.5169 1.2346xdot = 0.3850 1.4275 1.1740xdot = 0.4117 1.3844 1.1481xdot = 0.4499 1.3394 1.1191xdot = 0.6647 1.0858 0.9686xdot = 0.6678 0.9616 0.9237xdot = 0.7755 0.8371 0.8550xdot = 0.5917 1.1671 1.0157xdot = 0.6169 1.0834 0.9783xdot = 0.6876 0.9965 0.9302xdot = 0.8002 0.8156 0.8443xdot = 0.8058 0.7308 0.8132xdot = 0.8567 0.6408 0.7732xdot = 0.9139 0.4809 0.7112xdot = 0.9050 0.4111 0.6877xdot = 0.9275 0.3330 0.6587xdot = 0.9463 0.1697 0.6031xdot = 0.9175 0.1062 0.5824xdot = 0.9203 0.0289 0.5564xdot = 0.8938 -0.1365 0.5039xdot = 0.8409 -0.1879 0.4851xdot = 0.8218 -0.2622 0.4607xdot = 0.7369 -0.4203 0.4090xdot = 0.6561 -0.4453 0.3919xdot = 0.6121 -0.5101 0.3680xdot = 0.4897 -0.6051 0.3275xdot = 0.4147 -0.5979 0.3140xdot = 0.3575 -0.6328 0.2953xdot = 0.2262 -0.6654 0.2633xdot = 0.1672 -0.6342 0.2525xdot = 0.1095 -0.6416 0.2377xdot = -0.0132 -0.6211 0.2110xdot = -0.0517 -0.5724 0.2022xdot = -0.1022 -0.5577 0.1899xdot = -0.2058 -0.4898 0.1658xdot = -0.2173 -0.4272 0.1583xdot = -0.2553 -0.3953 0.1473xdot = -0.3084 -0.3049 0.1287xdot = -0.2947 -0.2540 0.1229xdot = -0.3116 -0.2157 0.1144xdot = -0.3191 -0.1250 0.0995xdot = -0.2888 -0.0914 0.0949xdot = -0.2878 -0.0559 0.0881xdot = -0.3175 -0.1438 0.1026xdot = -0.2990 -0.1152 0.0985xdot = -0.2982 -0.0846 0.0930xdot = -0.2810 -0.0255 0.0834xdot = -0.2579 -0.0087 0.0800xdot = -0.2481 0.0153 0.0756xdot = -0.2175 0.0557 0.0679xdot = -0.1954 0.0618 0.0653xdot = -0.1808 0.0775 0.0617xdot = -0.1441 0.1008 0.0553xdot = -0.1247 0.0985 0.0531xdot = -0.1085 0.1066 0.0501xdot = -0.0699 0.1142 0.0443xdot = -0.0550 0.1045 0.0424xdot = -0.0393 0.1060 0.0398xdot = -0.0027 0.0977 0.0342xdot = 0.0041 0.0812 0.0326xdot = 0.0171 0.0771 0.0301xdot = 0.0417 0.0547 0.0250xdot = 0.0362 0.0378 0.0238xdot = 0.0437 0.0306 0.0215xdot = 0.0486 0.0054 0.0175xdot = 0.0352 -0.0019 0.0166xdot = 0.0368 -0.0085 0.0148xdot = 0.0288 -0.0213 0.0123xdot = 0.0203 -0.0200 0.0117xdot = 0.0177 -0.0237 0.0106xdot = 0.0177 2.9763 3.0106xdot = 0.0328 -0.0149 0.0135xdot = 0.0297 -0.0162 0.0131xdot = 0.0277 -0.0187 0.0125xdot = 0.0227 -0.0226 0.0115xdot = 0.0198 -0.0227 0.0111xdot = 0.0175 -0.0241 0.0106xdot = 0.0175 2.9759 3.0106xdot = 0.0252 -0.0207 0.0120xdot = 0.0238 -0.0212 0.0117xdot = 0.0226 -0.0220 0.0115xdot = 0.0200 -0.0233 0.0110xdot = 0.0187 -0.0236 0.0108xdot = 0.0175 -0.0241 0.0106xdot = 0.0175 2.9759 3.0106xdot = 0.0213 -0.0227 0.0113xdot = 0.0207 -0.0229 0.0111xdot = 0.0200 -0.0232 0.0110xdot = 0.0187 -0.0237 0.0108xdot = 0.0181 -0.0239 0.0107xdot = 0.0181 2.9761 3.0107xdot = 0.1543 -0.1247 -0.0450xdot = 0.1543 2.8753 2.9550xdot = 0.0193 -0.0235 0.0109xdot = 0.0189 -0.0236 0.0108xdot = 0.0185 -0.0238 0.0108xdot = 0.0178 -0.0240 0.0106xdot = 0.0178 2.9760 3.0106xdot = 0.1521 -0.1232 -0.0442xdot = 0.1521 2.8768 2.9558xdot = 0.1529 -0.1284 -0.0457xdot = 0.1529 2.8716 2.9543xdot = 0.0182 -0.0239 0.0107xdot = 0.0182 2.9761 3.0107xdot = 0.0846 -0.0735 -0.0167xdot = 0.0846 2.9265 2.9833xdot = 0.0859 -0.0757 -0.0176xdot = 0.0859 2.9243 2.9824xdot = 0.0183 -0.0238 0.0107xdot = 0.0183 2.9762 3.0107xdot = 0.0514 -0.0486 -0.0030xdot = 0.0514 2.9514 2.9970xdot = 0.0523 -0.0497 -0.0035xdot = 0.0523 2.9503 2.9965xdot = 0.0184 -0.0238 0.0107xdot = 0.0184 -0.0238 0.0107xdot = 0.0184 2.9762 3.0107xdot = 0.0281 -0.0312 0.0067xdot = 0.0281 2.9688 3.0067xdot = 0.0390 -0.0395 0.0021xdot = 0.0390 2.9605 3.0021xdot = 0.0444 -0.0436 -0.0002xdot = 0.0444 2.9564 2.9998xdot = 0.0499 -0.0478 -0.0025xdot = 0.0499 2.9522 2.9975xdot = 0.1047 -0.0894 -0.0253xdot = 0.1047 2.9106 2.9747xdot = 0.1308 -0.1109 -0.0364xdot = 0.1308 2.8891 2.9636xdot = 0.1583 -0.1319 -0.0477xdot = 0.1583 2.8681 2.9523xdot = 0.4410 -0.3449 -0.1600xdot = 0.4410 2.6551 2.8400xdot = 0.5444 -0.4702 -0.2097xdot = 0.5444 2.5298 2.7903xdot = 0.6840 -0.5814 -0.2639xdot = 0.6840 2.4186 2.7361xdot = 1.1546 -1.0067 -0.4459xdot = 1.1546 1.9933 2.5541xdot = 1.2414 -1.2849 -0.5187xdot = 1.2414 1.7151 2.4813xdot = 1.4494 -1.5068 -0.6047xdot = 1.4494 1.4932 2.3953xdot = 1.7375 -1.9684 -0.7458xdot = 1.7375 1.0316 2.2542xdot = 1.7378 -2.2249 -0.8038xdot = 1.7378 0.7751 2.1962xdot = 1.8463 -2.4556 -0.8709xdot = 1.8463 0.5444 2.1291xdot = 1.9571 -2.9248 -0.9873xdot = 1.9571 0.0752 2.0127xdot = 1.8788 -3.1445 -1.0359xdot = 1.8788 -0.1445 1.9641xdot = 1.8993 -3.3672 -1.0914xdot = 1.8993 -0.3672 1.9086xdot = 1.8414 -3.8314 -1.1974xdot = 1.8414 -0.8314 1.8026xdot = 1.6813 -4.0040 -1.2415xdot = 1.6813 -1.0040 1.7585xdot = 1.6206 -4.2088 -1.2920xdot = 1.6206 -1.2088 1.7080xdot = 1.3842 -4.6170 -1.3915xdot = 1.3842 -1.6170 1.6085xdot = 1.1514 -4.7064 -1.4326xdot = 1.1514 -1.7064 1.5674xdot = 1.0131 -4.8659 -1.4800xdot = 1.0131 -1.8659 1.5200xdot = 0.6969 -5.0814 -1.5546xdot = 0.6969 -2.0814 1.4454xdot = 0.4964 -5.0825 -1.5864xdot = 0.4964 -2.0825 1.4136xdot = 0.3358 -5.1555 -1.6221xdot = 0.3358 -2.1555 1.3779xdot = 0.0092 -5.2246 -1.6825xdot = 0.0092 -2.2246 1.3175xdot = -0.1556 -5.1684 -1.7087xdot = -0.1556 -2.1684 1.2913xdot = -0.3117 -5.1763 -1.7377xdot = -0.3117 -2.1763 1.2623xdot = -0.6079 -5.1337 -1.7881xdot = -0.6079 -2.1337 1.2119xdot = -0.7327 -5.0415 -1.8102xdot = -0.7327 -2.0415 1.1898xdot = -0.8683 -5.0013 -1.8345xdot = -0.8683 -2.0013 1.1655xdot = -1.1102 -4.8803 -1.8771xdot = -1.1102 -1.8803 1.1229xdot = -1.1947 -1.7697 1.1039xdot = -1.3011 -1.6972 1.0833xdot = -1.4770 -1.5308 1.0474xdot = -1.5249 -1.4171 1.0312xdot = -1.5988 -1.3277 1.0138xdot = -1.7051 -1.1530 0.9849xdot = -1.7244 -1.0520 0.9717xdot = -1.7667 -0.9625 0.9577xdot = -1.8367 -0.7501 0.9274xdot = -1.8279 -0.6372 0.9137xdot = -1.8494 -0.5323 0.8991xdot = -1.8749 -0.1494 0.8497xdot = -1.7543 0.0280 0.8290xdot = -1.7324 0.1928 0.8055xdot = -1.8633 -0.3197 0.8715xdot = -1.8292 -0.2177 0.8590xdot = -1.8243 -0.1158 0.8455xdot = -1.7867 0.0890 0.8196xdot = -1.7300 0.1772 0.8078xdot = -1.7011 0.2722 0.7952xdot = -1.6165 0.4570 0.7707xdot = -1.5417 0.5265 0.7596xdot = -1.4917 0.6092 0.7477xdot = -1.3815 0.7457 0.7272xdot = -1.3065 0.7904 0.7178xdot = -1.2473 0.8500 0.7078xdot = -1.1300 0.9424 0.6907xdot = -1.0608 0.9679 0.6828xdot = -1.0004 1.0071 0.6745xdot = -0.8935 1.0611 0.6610xdot = -0.8360 1.0732 0.6547xdot = -0.7821 1.0954 0.6481xdot = -0.9218 1.0468 0.6646xdot = -0.8803 1.0586 0.6598xdot = -0.8406 1.0758 0.6550xdot = -0.7593 1.1051 0.6453xdot = -0.7175 1.1116 0.6407xdot = -0.6768 1.1237 0.6360xdot = -0.5756 1.1467 0.6246xdot = -0.5249 1.1460 0.6191xdot = -0.4749 1.1538 0.6135xdot = -0.3492 1.1629 0.5998xdot = -0.2891 1.1491 0.5933xdot = -0.2284 1.1483 0.5866xdot = -0.0842 1.1314 0.5709xdot = -0.0206 1.0986 0.5637xdot = 0.0467 1.0836 0.5561xdot = 0.2008 1.0283 0.5386xdot = 0.2592 0.9714 0.5307xdot = 0.3274 0.9371 0.5222xdot = 0.4791 0.8296 0.5025xdot = 0.5191 0.7441 0.4938xdot = 0.5800 0.6859 0.4843xdot = 0.7118 0.5023 0.4605xdot = 0.7066 0.3811 0.4504xdot = 0.7466 0.2940 0.4391xdot = 0.7861 0.0803 0.4164xdot = 0.7262 -0.0230 0.4068xdot = 0.7240 -0.1129 0.3959xdot = 0.6700 -0.2926 0.3764xdot = 0.5847 -0.3496 0.3681xdot = 0.5472 -0.4188 0.3587xdot = 0.4460 -0.5265 0.3434xdot = 0.3691 -0.5423 0.3367xdot = 0.3172 -0.5806 0.3293xdot = 0.1981 -0.6324 0.3160xdot = 0.1306 -0.6204 0.3101xdot = 0.0748 -0.6338 0.3037xdot = -0.0434 -0.6364 0.2916xdot = -0.0966 -0.6036 0.2863xdot = -0.1486 -0.5957 0.2805xdot = -0.2533 -0.5565 0.2693xdot = -0.2885 -0.5086 0.2643xdot = -0.3312 -0.4833 0.2589xdot = -0.4137 -0.4074 0.2478xdot = -0.4267 -0.3482 0.2429xdot = -0.4560 -0.3089 0.2376xdot = -0.5108 -0.1852 0.2244xdot = -0.4847 -0.1104 0.2189xdot = -0.4940 -0.0572 0.2126xdot = -0.4821 0.0503 0.2022xdot = -0.4394 0.0930 0.1978xdot = -0.4251 0.1361 0.1929xdot = -0.4851 0.0229 0.2049xdot = -0.4603 0.0568 0.2014xdot = -0.4507 0.0919 0.1977xdot = -0.4175 0.1601 0.1905xdot = -0.3849 0.1822 0.1873xdot = -0.3653 0.2103 0.1839xdot = -0.3149 0.2596 0.1773xdot = -0.2797 0.2689 0.1743xdot = -0.2538 0.2874 0.1711xdot = -0.1930 0.3158 0.1649xdot = -0.1585 0.3127 0.1621xdot = -0.1295 0.3210 0.1591xdot = -0.0631 0.3272 0.1529xdot = -0.0320 0.3115 0.1502xdot = -0.0025 0.3093 0.1472xdot = 0.0636 0.2906 0.1409xdot = 0.0865 0.2621 0.1381xdot = 0.1131 0.2489 0.1351xdot = 0.1714 0.2011 0.1281xdot = 0.1779 0.1593 0.1251xdot = 0.1966 0.1353 0.1218xdot = 0.2330 0.0459 0.1128xdot = 0.1986 -0.0076 0.1093xdot = 0.1999 -0.0381 0.1051xdot = 0.2255 0.0641 0.1147xdot = 0.2067 0.0229 0.1117xdot = 0.2104 -0.0058 0.1083xdot = 0.1979 -0.0722 0.1020xdot = 0.1640 -0.0936 0.0993xdot = 0.1530 -0.1165 0.0963xdot = 0.1159 -0.1551 0.0912xdot = 0.0851 -0.1565 0.0891xdot = 0.0672 -0.1679 0.0867xdot = 0.0222 -0.1808 0.082