1 | #ifndef PMSM_H |
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2 | #define PMSM_H |
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3 | |
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4 | #include <math/functions.h> |
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5 | #include "base/user_info.h" |
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6 | |
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7 | /*! \defgroup PMSM |
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8 | @{ |
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9 | */ |
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10 | |
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11 | using namespace bdm; |
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12 | |
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13 | //TODO hardcoded RVs!!! |
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14 | // RV rx ( "{ia ib om th }"); |
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15 | // RV ru ( "{o_ua o_ub }"); |
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16 | // RV ry ( "{oia oib }"); |
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17 | |
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18 | // class uipmsm : public uibase{ |
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19 | // double Rs, Ls, dt, Ypm, kp, p, J, Mz; |
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20 | // }; |
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21 | |
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22 | //! State evolution model for a PMSM drive and its derivative with respect to \f$x\f$ |
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23 | class IMpmsm : public diffbifn { |
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24 | protected: |
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25 | double Rs, Ls, dt, Ypm, kp, p, J, Mz; |
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26 | |
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27 | bool compensate; |
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28 | bool cutoff; |
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29 | public: |
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30 | IMpmsm() :diffbifn ( ) {dimy=4; dimx = 4; dimu=2; dimc=6;compensate=true;cutoff=true;}; |
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31 | //! Set mechanical and electrical variables |
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32 | virtual void set_parameters ( double Rs0, double Ls0, double dt0, double Ypm0, double kp0, double p0, double J0, double Mz0 ) {Rs=Rs0; Ls=Ls0; dt=dt0; Ypm=Ypm0; kp=kp0; p=p0; J=J0; Mz=Mz0;} |
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33 | |
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34 | void modelpwm(const vec &x0, const vec u0, double &ua, double &ub){ |
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35 | /* ua=u0[0]; |
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36 | ub=u0[1]; |
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37 | return;*/ |
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38 | double sq3=sqrt ( 3.0 ); |
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39 | double i1=x0(0); |
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40 | double i2=0.5* ( -i1+sq3*x0[1] ); |
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41 | double i3=0.5* ( -i1-sq3*x0[1] ); |
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42 | double u1=u0(0); |
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43 | double u2=0.5* ( -u1+sq3*u0(1) ); |
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44 | double u3=0.5* ( -u1-sq3*u0(1) ); |
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45 | |
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46 | double du1=1.4* ( double ( i1>0.3 ) - double ( i1<-0.3 ) ) +0.2*i1; |
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47 | double du2=1.4* ( double ( i2>0.3 ) - double ( i2<-0.3 ) ) +0.2*i2; |
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48 | double du3=1.4* ( double ( i3>0.3 ) - double ( i3<-0.3 ) ) +0.2*i3; |
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49 | ua = ( 2.0* ( u1-du1 )- ( u2-du2 )- ( u3-du3 ) ) /3.0; |
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50 | ub = ( ( u2-du2 )- ( u3-du3 ) ) /sq3; |
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51 | } |
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52 | |
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53 | vec eval ( const vec &x0, const vec &u0 ) { |
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54 | // last state |
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55 | const double &iam = x0 ( 0 ); |
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56 | const double &ibm = x0 ( 1 ); |
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57 | const double &omm = x0 ( 2 ); |
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58 | const double &thm = x0 ( 3 ); |
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59 | double uam; |
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60 | double ubm; |
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61 | |
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62 | if (compensate){ |
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63 | modelpwm(x0,u0,uam,ubm); |
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64 | } else { |
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65 | uam = u0(0); |
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66 | ubm = u0(1); |
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67 | } |
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68 | |
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69 | |
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70 | vec xk( 4 ); |
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71 | //ia |
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72 | xk ( 0 ) = ( 1.0- Rs/Ls*dt ) * iam + Ypm/Ls*dt*omm * sin ( thm ) + uam*dt/Ls; |
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73 | //ib |
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74 | xk ( 1 ) = ( 1.0- Rs/Ls*dt ) * ibm - Ypm/Ls*dt*omm * cos ( thm ) + ubm*dt/Ls; |
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75 | //om |
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76 | xk ( 2 ) = omm + kp*p*p * Ypm/J*dt* ( ibm * cos ( thm )-iam * sin ( thm ) ) - p/J*dt*Mz; |
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77 | //th |
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78 | xk ( 3 ) = thm + omm*dt; // <0..2pi> |
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79 | if (cutoff) { |
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80 | if ( xk ( 3 ) >pi ) xk ( 3 )-=2*pi; |
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81 | if ( xk ( 3 ) <-pi ) xk ( 3 ) +=2*pi; |
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82 | } |
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83 | return xk; |
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84 | } |
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85 | |
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86 | void dfdx_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) { |
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87 | const double &iam = x0 ( 0 ); |
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88 | const double &ibm = x0 ( 1 ); |
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89 | const double &omm = x0 ( 2 ); |
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90 | const double &thm = x0 ( 3 ); |
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91 | // d ia |
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92 | A ( 0,0 ) = ( 1.0- Rs/Ls*dt ); A ( 0,1 ) = 0.0; |
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93 | A ( 0,2 ) = Ypm/Ls*dt* sin ( thm ); A ( 0,3 ) = Ypm/Ls*dt*omm * ( cos ( thm ) ); |
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94 | // d ib |
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95 | A ( 1,0 ) = 0.0 ; A ( 1,1 ) = ( 1.0- Rs/Ls*dt ); |
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96 | A ( 1,2 ) = -Ypm/Ls*dt* cos ( thm ); A ( 1,3 ) = Ypm/Ls*dt*omm * ( sin ( thm ) ); |
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97 | // d om |
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98 | A ( 2,0 ) = kp*p*p * Ypm/J*dt* ( - sin ( thm ) ); |
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99 | A ( 2,1 ) = kp*p*p * Ypm/J*dt* ( cos ( thm ) ); |
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100 | A ( 2,2 ) = 1.0; |
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101 | A ( 2,3 ) = kp*p*p * Ypm/J*dt* ( -ibm * sin ( thm )-iam * cos ( thm ) ); |
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102 | // d th |
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103 | A ( 3,0 ) = 0.0; A ( 3,1 ) = 0.0; A ( 3,2 ) = dt; A ( 3,3 ) = 1.0; |
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104 | } |
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105 | |
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106 | void dfdu_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) {it_error ( "not needed" );}; |
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107 | |
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108 | void from_setting( const Setting &root ) |
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109 | { |
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110 | |
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111 | const SettingResolver& params_b=root["params"]; |
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112 | const Setting& params=params_b.result; |
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113 | |
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114 | set_parameters ( params["Rs"], params["Ls"], 125e-6, params["Fmag"], \ |
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115 | params["kp"], params["p"], params["J"], 0.0); |
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116 | int comp=0; |
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117 | if (UI::get(comp,root,"compensate",UI::optional)){compensate=(comp==1);} |
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118 | int cuto=0; |
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119 | if (UI::get(cuto,root,"cutoff",UI::optional)){cutoff=(cuto==1);} |
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120 | }; |
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121 | |
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122 | // TODO dodelat void to_setting( Setting &root ) const; |
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123 | }; |
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124 | |
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125 | UIREGISTER ( IMpmsm ); |
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126 | |
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127 | //! Evolution model of \f$ \omega, \vartheta\f$ for a PMSM drive and its derivative with respect to \f$x\f$ |
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128 | class IMpmsmOT : public diffbifn { |
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129 | protected: |
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130 | double Rs, Ls, dt, Ypm, kp, p, J, Mz; |
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131 | |
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132 | bool compensate; |
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133 | bool cutoff; |
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134 | public: |
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135 | IMpmsmOT() :diffbifn ( ) {dimy=2; dimx = 2; dimu=4; dimc=6;compensate=true;cutoff=true;}; |
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136 | //! Set mechanical and electrical variables |
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137 | virtual void set_parameters ( double Rs0, double Ls0, double dt0, double Ypm0, double kp0, double p0, double J0, double Mz0 ) {Rs=Rs0; Ls=Ls0; dt=dt0; Ypm=Ypm0; kp=kp0; p=p0; J=J0; Mz=Mz0;} |
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138 | |
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139 | void modelpwm(const vec &x0, const vec u0, double &ua, double &ub){ |
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140 | /* ua=u0[0]; |
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141 | * ub=u0[1]; |
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142 | * return;*/ |
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143 | double sq3=sqrt ( 3.0 ); |
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144 | double i1=x0(0); |
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145 | double i2=0.5* ( -i1+sq3*x0[1] ); |
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146 | double i3=0.5* ( -i1-sq3*x0[1] ); |
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147 | double u1=u0(0); |
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148 | double u2=0.5* ( -u1+sq3*u0(1) ); |
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149 | double u3=0.5* ( -u1-sq3*u0(1) ); |
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150 | |
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151 | double du1=1.4* ( double ( i1>0.3 ) - double ( i1<-0.3 ) ) +0.2*i1; |
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152 | double du2=1.4* ( double ( i2>0.3 ) - double ( i2<-0.3 ) ) +0.2*i2; |
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153 | double du3=1.4* ( double ( i3>0.3 ) - double ( i3<-0.3 ) ) +0.2*i3; |
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154 | ua = ( 2.0* ( u1-du1 )- ( u2-du2 )- ( u3-du3 ) ) /3.0; |
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155 | ub = ( ( u2-du2 )- ( u3-du3 ) ) /sq3; |
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156 | } |
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157 | |
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158 | vec eval ( const vec &x0, const vec &u0 ) { |
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159 | // last state |
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160 | const double &omm = x0 ( 0 ); |
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161 | const double &thm = x0 ( 1 ); |
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162 | double uam; |
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163 | double ubm; |
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164 | |
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165 | if (compensate){ |
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166 | modelpwm(x0,u0,uam,ubm); |
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167 | } else { |
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168 | uam = u0(0); |
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169 | ubm = u0(1); |
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170 | } |
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171 | |
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172 | const double &iam = u0 ( 2 ); |
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173 | const double &ibm = u0 ( 3 ); |
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174 | |
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175 | vec xk( 2 ); |
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176 | //ia |
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177 | //om |
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178 | xk ( 0 ) = omm + kp*p*p * Ypm/J*dt* ( ibm * cos ( thm )-iam * sin ( thm ) ) - p/J*dt*Mz; |
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179 | //th |
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180 | xk ( 1 ) = thm + omm*dt; // <0..2pi> |
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181 | if (cutoff) { |
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182 | if ( xk ( 1 ) >pi ) xk ( 1 )-=2*pi; |
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183 | if ( xk ( 1 ) <-pi ) xk ( 1 ) +=2*pi; |
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184 | } |
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185 | return xk; |
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186 | } |
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187 | |
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188 | void dfdx_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) { |
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189 | const double &omm = x0 ( 0 ); |
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190 | const double &thm = x0 ( 1 ); |
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191 | |
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192 | const double &iam = u0 ( 2 ); |
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193 | const double &ibm = u0 ( 3 ); |
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194 | |
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195 | // d ia |
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196 | // d om |
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197 | A ( 0,0 ) = 1.0; |
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198 | A ( 0,1 ) = kp*p*p * Ypm/J*dt* ( -ibm * sin ( thm )-iam * cos ( thm ) ); |
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199 | // d th |
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200 | A ( 1,0 ) = dt; |
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201 | A ( 1,1 ) = 1.0; |
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202 | } |
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203 | |
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204 | void dfdu_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) {it_error ( "not needed" );}; |
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205 | |
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206 | void from_setting( const Setting &root ) |
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207 | { |
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208 | |
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209 | const SettingResolver& params_b=root["params"]; |
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210 | const Setting& params=params_b.result; |
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211 | |
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212 | set_parameters ( params["Rs"], params["Ls"], 125e-6, params["Fmag"], \ |
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213 | params["kp"], params["p"], params["J"], 0.0); |
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214 | int comp=0; |
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215 | if (UI::get(comp,root,"compensate",UI::optional)){compensate=(comp==1);} |
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216 | int cuto=0; |
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217 | if (UI::get(cuto,root,"cutoff",UI::optional)){cutoff=(cuto==1);} |
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218 | }; |
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219 | |
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220 | // TODO dodelat void to_setting( Setting &root ) const; |
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221 | }; |
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222 | |
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223 | UIREGISTER ( IMpmsmOT ); |
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224 | |
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225 | |
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226 | //! State evolution model for a PMSM drive and its derivative with respect to \f$x\f$ |
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227 | class IMpmsmDQ : public diffbifn { |
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228 | protected: |
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229 | double Rs, Ld, Lq, dt, Ypm, kp, p, J, Mz; |
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230 | |
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231 | bool compensate; |
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232 | bool cutoff; |
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233 | public: |
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234 | IMpmsmDQ() :diffbifn ( ) {dimy=4; dimx = 4; dimu=2; dimc=6;compensate=true;cutoff=true;}; |
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235 | //! Set mechanical and electrical variables |
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236 | virtual void set_parameters ( double Rs0, double Ld0, double Lq0, double dt0, double Ypm0, double kp0, double p0, double J0, double Mz0 ) {Rs=Rs0; Ld=Ld0; Lq=Lq0; dt=dt0; Ypm=Ypm0; kp=kp0; p=p0; J=J0; Mz=Mz0;} |
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237 | |
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238 | void modelpwm(const vec &x0, const vec u0, double &ua, double &ub){ |
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239 | /* ua=u0[0]; |
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240 | * ub=u0[1]; |
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241 | * return;*/ |
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242 | double sq3=sqrt ( 3.0 ); |
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243 | double i1=x0(0); |
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244 | double i2=0.5* ( -i1+sq3*x0[1] ); |
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245 | double i3=0.5* ( -i1-sq3*x0[1] ); |
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246 | double u1=u0(0); |
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247 | double u2=0.5* ( -u1+sq3*u0(1) ); |
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248 | double u3=0.5* ( -u1-sq3*u0(1) ); |
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249 | |
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250 | double du1=1.4* ( double ( i1>0.3 ) - double ( i1<-0.3 ) ) +0.2*i1; |
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251 | double du2=1.4* ( double ( i2>0.3 ) - double ( i2<-0.3 ) ) +0.2*i2; |
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252 | double du3=1.4* ( double ( i3>0.3 ) - double ( i3<-0.3 ) ) +0.2*i3; |
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253 | ua = ( 2.0* ( u1-du1 )- ( u2-du2 )- ( u3-du3 ) ) /3.0; |
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254 | ub = ( ( u2-du2 )- ( u3-du3 ) ) /sq3; |
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255 | } |
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256 | |
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257 | vec eval ( const vec &x0, const vec &u0 ) { |
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258 | // last state |
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259 | const double &idm = x0 ( 0 ); |
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260 | const double &iqm = x0 ( 1 ); |
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261 | const double &omm = x0 ( 2 ); |
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262 | const double &thm = x0 ( 3 ); |
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263 | double uam; |
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264 | double ubm; |
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265 | |
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266 | if (compensate){ |
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267 | modelpwm(x0,u0,uam,ubm); |
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268 | } else { |
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269 | uam = u0(0); |
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270 | ubm = u0(1); |
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271 | } |
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272 | |
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273 | vec xk( 4 ); |
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274 | //id |
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275 | xk ( 0 ) = ( 1.0- Rs/Ld*dt ) * idm + Lq/Ld*iqm*dt*omm + dt/Ld*(cos(thm)*uam+sin(thm)*ubm); |
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276 | //iq |
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277 | xk ( 1 ) = ( 1.0- Rs/Lq*dt ) * iqm - Ypm/Lq*dt*omm - Ld/Lq*dt*idm*omm + dt/Lq*(-sin(thm)*uam+cos(thm)*ubm); |
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278 | //om |
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279 | xk ( 2 ) = omm + kp*p*p /J*dt* ( (Ld-Lq)*idm+ Ypm)*iqm - p/J*dt*Mz; |
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280 | //th |
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281 | xk ( 3 ) = thm + omm*dt; // <0..2pi> |
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282 | if (cutoff) { |
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283 | if ( xk ( 3 ) >pi ) xk ( 3 )-=2*pi; |
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284 | if ( xk ( 3 ) <-pi ) xk ( 3 ) +=2*pi; |
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285 | } |
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286 | return xk; |
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287 | } |
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288 | |
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289 | void dfdx_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) { |
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290 | const double &idm = x0 ( 0 ); |
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291 | const double &iqm = x0 ( 1 ); |
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292 | const double &omm = x0 ( 2 ); |
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293 | const double &thm = x0 ( 3 ); |
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294 | |
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295 | double uam; |
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296 | double ubm; |
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297 | if (compensate){ |
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298 | modelpwm(x0,u0,uam,ubm); |
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299 | } else { |
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300 | uam = u0(0); |
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301 | ubm = u0(1); |
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302 | } |
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303 | // d id |
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304 | A ( 0,0 ) = ( 1.0- Rs/Ld*dt ); A ( 0,1 ) = Lq/Ld*dt*omm; |
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305 | A ( 0,2 ) = Lq/Ld*iqm*dt; A ( 0,3 ) = dt/Ld*(-sin(thm)*uam+cos(thm)*ubm); |
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306 | // d iq |
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307 | A ( 1,0 ) = -Ld/Lq*omm*dt ; A ( 1,1 ) = ( 1.0- Rs/Lq*dt ); |
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308 | A ( 1,2 ) = -Ypm/Lq*dt- Ld/Lq*dt*idm; A ( 1,3 ) = dt/Lq*(-cos(thm)*uam-sin(thm)*ubm); |
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309 | // d om |
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310 | A ( 2,0 ) = kp*p*p /J*dt* ( Ld-Lq)*iqm; |
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311 | A ( 2,1 ) = kp*p*p /J*dt* ((Ld-Lq)*idm+Ypm); |
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312 | A ( 2,2 ) = 1.0; |
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313 | A ( 2,3 ) = 0; |
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314 | // d th |
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315 | A ( 3,0 ) = 0.0; |
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316 | A ( 3,1 ) = 0.0; |
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317 | A ( 3,2 ) = dt; A ( 3,3 ) = 1.0; |
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318 | } |
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319 | |
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320 | void dfdu_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) {it_error ( "not needed" );}; |
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321 | |
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322 | void from_setting( const Setting &root ) |
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323 | { |
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324 | |
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325 | const SettingResolver& params_b=root["params"]; |
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326 | const Setting& params=params_b.result; |
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327 | |
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328 | set_parameters ( params["Rs"], params["Ld"],params["Lq"], 125e-6, params["Fmag"], \ |
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329 | params["kp"], params["p"], params["J"], 0.0); |
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330 | int comp=0; |
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331 | if (UI::get(comp,root,"compensate",UI::optional)){compensate=(comp==1);} |
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332 | int cuto=0; |
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333 | if (UI::get(cuto,root,"cutoff",UI::optional)){ |
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334 | cutoff=(cuto==1); |
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335 | } |
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336 | }; |
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337 | |
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338 | // TODO dodelat void to_setting( Setting &root ) const; |
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339 | }; |
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340 | |
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341 | UIREGISTER ( IMpmsmDQ ); |
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342 | |
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343 | |
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344 | //! State evolution model for a PMSM drive and its derivative with respect to \f$x\f$ |
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345 | class IMpmsm2o : public IMpmsm { |
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346 | protected: |
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347 | // double Rs, Ls, dt, Ypm, kp, p, J, Mz; |
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348 | //! store first derivatives for the use in second derivatives |
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349 | double dia, dib, dom, dth; |
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350 | //! d2t = dt^2/2, cth = cos(th), sth=sin(th) |
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351 | double d2t, cth, sth; |
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352 | double iam, ibm, omm, thm, uam, ubm; |
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353 | public: |
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354 | IMpmsm2o() :IMpmsm () {}; |
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355 | //! Set mechanical and electrical variables |
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356 | void set_parameters ( double Rs0, double Ls0, double dt0, double Ypm0, double kp0, double p0, double J0, double Mz0 ) {Rs=Rs0; Ls=Ls0; dt=dt0; Ypm=Ypm0; kp=kp0; p=p0; J=J0; Mz=Mz0; d2t=dt*dt/2;} |
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357 | |
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358 | vec eval ( const vec &x0, const vec &u0 ) { |
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359 | // last state |
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360 | iam = x0 ( 0 ); |
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361 | ibm = x0 ( 1 ); |
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362 | omm = x0 ( 2 ); |
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363 | thm = x0 ( 3 ); |
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364 | uam = u0 ( 0 ); |
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365 | ubm = u0 ( 1 ); |
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366 | |
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367 | cth = cos(thm); |
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368 | sth = sin(thm); |
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369 | |
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370 | dia = (- Rs/Ls*iam + Ypm/Ls*omm * sth + uam/Ls); |
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371 | dib = (- Rs/Ls*ibm - Ypm/Ls*omm * cth + ubm/Ls); |
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372 | dom = kp*p*p * Ypm/J *( ibm * cth-iam * sth ) - p/J*Mz; |
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373 | dth = omm; |
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374 | |
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375 | vec xk=zeros ( 4 ); |
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376 | xk ( 0 ) = iam + dt*dia;// +d2t*d2ia; |
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377 | xk ( 1 ) = ibm + dt*dib;// +d2t*d2ib; |
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378 | xk ( 2 ) = omm +dt*dom;// +d2t*d2om; |
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379 | xk ( 3 ) = thm + dt*dth;// +d2t*dom; // <0..2pi> |
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380 | |
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381 | if ( xk ( 3 ) >pi ) xk ( 3 )-=2*pi; |
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382 | if ( xk ( 3 ) <-pi ) xk ( 3 ) +=2*pi; |
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383 | return xk; |
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384 | } |
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385 | |
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386 | //! eval 2nd order Taylor expansion, MUST be used only as a follow up AFTER eval()!! |
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387 | vec eval2o(const vec &du){ |
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388 | double dua = du ( 0 )/dt; |
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389 | double dub = du ( 1 )/dt; |
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390 | |
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391 | vec xth2o(4); |
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392 | xth2o(0) = (- Rs/Ls*dia + Ypm/Ls*(dom * sth + omm*cth) + dua/Ls); |
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393 | xth2o(1) = (- Rs/Ls*dib - Ypm/Ls*(dom * cth - omm*sth) + dub/Ls); |
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394 | xth2o(2) = kp*p*p * Ypm/J *( dib * cth-ibm*sth - (dia * sth + iam *cth)); |
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395 | xth2o(3) = dom; |
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396 | // multiply by dt^2/2 |
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397 | xth2o*=d2t/2; |
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398 | return xth2o; |
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399 | } |
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400 | void dfdx_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) { |
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401 | iam = x0 ( 0 ); |
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402 | ibm = x0 ( 1 ); |
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403 | omm = x0 ( 2 ); |
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404 | thm = x0 ( 3 ); |
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405 | // d ia |
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406 | A ( 0,0 ) = ( 1.0- Rs/Ls*dt ); A ( 0,1 ) = 0.0; |
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407 | A ( 0,2 ) = Ypm/Ls*dt* sin ( thm ); A ( 0,3 ) = Ypm/Ls*dt*omm * ( cos ( thm ) ); |
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408 | // d ib |
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409 | A ( 1,0 ) = 0.0 ; A ( 1,1 ) = ( 1.0- Rs/Ls*dt ); |
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410 | A ( 1,2 ) = -Ypm/Ls*dt* cos ( thm ); A ( 1,3 ) = Ypm/Ls*dt*omm * ( sin ( thm ) ); |
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411 | // d om |
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412 | A ( 2,0 ) = kp*p*p * Ypm/J*dt* ( - sin ( thm ) ); |
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413 | A ( 2,1 ) = kp*p*p * Ypm/J*dt* ( cos ( thm ) ); |
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414 | A ( 2,2 ) = 1.0; |
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415 | A ( 2,3 ) = kp*p*p * Ypm/J*dt* ( -ibm * sin ( thm )-iam * cos ( thm ) ); |
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416 | // d th |
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417 | A ( 3,0 ) = 0.0; A ( 3,1 ) = 0.0; A ( 3,2 ) = dt; A ( 3,3 ) = 1.0; |
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418 | // FOR d2t*dom!!!!!!!!! |
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419 | /* A ( 3,0 ) = dt* kp*p*p * Ypm/J*dt* ( - sin ( thm ) ); |
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420 | A ( 3,1 ) = dt* kp*p*p * Ypm/J*dt* ( cos ( thm ) ); |
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421 | A ( 3,2 ) = dt; |
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422 | A ( 3,3 ) = 1.0 + dt* kp*p*p * Ypm/J*dt* ( -ibm * sin ( thm )-iam * cos ( thm ) );*/ |
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423 | } |
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424 | |
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425 | void dfdu_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) {it_error ( "not needed" );}; |
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426 | |
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427 | }; |
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428 | |
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429 | |
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430 | UIREGISTER ( IMpmsm2o ); |
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431 | |
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432 | //! State evolution model for a PMSM drive and its derivative with respect to \f$x\f$, equation for \f$\omega\f$ is omitted.$ |
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433 | class IMpmsmStat : public IMpmsm { |
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434 | public: |
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435 | IMpmsmStat() :IMpmsm() {}; |
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436 | //! Set mechanical and electrical variables |
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437 | void set_parameters ( double Rs0, double Ls0, double dt0, double Ypm0, double kp0, double p0, double J0, double Mz0 ) {Rs=Rs0; Ls=Ls0; dt=dt0; Ypm=Ypm0; kp=kp0; p=p0; J=J0; Mz=Mz0;} |
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438 | |
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439 | vec eval ( const vec &x0, const vec &u0 ) { |
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440 | // last state |
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441 | double iam = x0 ( 0 ); |
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442 | double ibm = x0 ( 1 ); |
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443 | double omm = x0 ( 2 ); |
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444 | double thm = x0 ( 3 ); |
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445 | double uam = u0 ( 0 ); |
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446 | double ubm = u0 ( 1 ); |
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447 | |
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448 | vec xk=zeros ( 4 ); |
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449 | //ia |
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450 | xk ( 0 ) = ( 1.0- Rs/Ls*dt ) * iam + Ypm/Ls*dt*omm * sin ( thm ) + uam*dt/Ls; |
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451 | //ib |
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452 | xk ( 1 ) = ( 1.0- Rs/Ls*dt ) * ibm - Ypm/Ls*dt*omm * cos ( thm ) + ubm*dt/Ls; |
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453 | //om |
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454 | xk ( 2 ) = omm - p/J*dt*Mz;// + kp*p*p * Ypm/J*dt* ( ibm * cos ( thm )-iam * sin ( thm ) ); |
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455 | //th |
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456 | xk ( 3 ) = rem(thm + omm*dt,2*pi); // <0..2pi> |
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457 | return xk; |
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458 | } |
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459 | |
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460 | void dfdx_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) { |
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461 | // double iam = x0 ( 0 ); |
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462 | // double ibm = x0 ( 1 ); |
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463 | double omm = x0 ( 2 ); |
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464 | double thm = x0 ( 3 ); |
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465 | // d ia |
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466 | A ( 0,0 ) = ( 1.0- Rs/Ls*dt ); A ( 0,1 ) = 0.0; |
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467 | A ( 0,2 ) = Ypm/Ls*dt* sin ( thm ); A ( 0,3 ) = Ypm/Ls*dt*omm * ( cos ( thm ) ); |
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468 | // d ib |
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469 | A ( 1,0 ) = 0.0 ; A ( 1,1 ) = ( 1.0- Rs/Ls*dt ); |
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470 | A ( 1,2 ) = -Ypm/Ls*dt* cos ( thm ); A ( 1,3 ) = Ypm/Ls*dt*omm * ( sin ( thm ) ); |
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471 | // d om |
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472 | A ( 2,0 ) = 0.0;//kp*p*p * Ypm/J*dt* ( - sin ( thm ) ); |
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473 | A ( 2,1 ) = 0.0;//kp*p*p * Ypm/J*dt* ( cos ( thm ) ); |
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474 | A ( 2,2 ) = 1.0; |
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475 | A ( 2,3 ) = 0.0;//kp*p*p * Ypm/J*dt* ( -ibm * sin ( thm )-iam * cos ( thm ) ); |
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476 | // d th |
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477 | A ( 3,0 ) = 0.0; A ( 3,1 ) = 0.0; A ( 3,2 ) = dt; A ( 3,3 ) = 1.0; |
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478 | } |
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479 | |
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480 | void dfdu_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) {it_error ( "not needed" );}; |
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481 | |
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482 | }; |
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483 | |
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484 | UIREGISTER ( IMpmsmStat ); |
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485 | |
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486 | |
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487 | //! State for PMSM with unknown Mz |
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488 | class IMpmsmMz: public IMpmsm{ |
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489 | public: |
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490 | IMpmsmMz() {dimy=5; dimx = 5; dimu=2;}; |
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491 | //! extend eval by Mz |
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492 | vec eval ( const vec &x0, const vec &u0 ) { |
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493 | vec x(4); |
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494 | Mz = x0(4); //last of the state is Mz |
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495 | |
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496 | //teh first 4 states are same as before (given that Mz is set) |
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497 | x=IMpmsm::eval(x0,u0); // including model of drops! |
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498 | return concat(x,Mz); |
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499 | } |
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500 | void dfdx_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) { |
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501 | //call initial |
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502 | if (full) A.clear(); |
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503 | IMpmsm::dfdx_cond(x0,u0,A,full); |
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504 | A(2,4)=- p/J*dt; |
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505 | A(4,4)=1.0; |
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506 | } |
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507 | }; |
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508 | |
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509 | UIREGISTER ( IMpmsmMz ); |
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510 | |
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511 | //! State for PMSM with unknown Mz |
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512 | class IMpmsmStatMz: public IMpmsmStat{ |
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513 | public: |
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514 | IMpmsmStatMz() {dimy=5; dimx = 5; dimu=2;}; |
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515 | //! extend eval by Mz |
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516 | vec eval ( const vec &x0, const vec &u0 ) { |
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517 | vec x(4); |
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518 | Mz = x0(4); //last of the state is Mz |
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519 | |
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520 | //teh first 4 states are same as before (given that Mz is set) |
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521 | x=IMpmsmStat::eval(x0,u0); // including model of drops! |
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522 | return concat(x,Mz); |
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523 | } |
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524 | void dfdx_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) { |
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525 | //call initial |
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526 | if (full) A.clear(); |
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527 | IMpmsmStat::dfdx_cond(x0,u0,A,full); |
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528 | A(2,4)=- p/J*dt; |
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529 | A(4,4)=1.0; |
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530 | } |
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531 | }; |
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532 | |
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533 | UIREGISTER ( IMpmsmStatMz ); |
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534 | |
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535 | |
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536 | //! Observation model for PMSM drive and its derivative with respect to \f$x\f$ |
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537 | class OMpmsm: public diffbifn { |
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538 | public: |
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539 | OMpmsm() :diffbifn () {dimy=2;dimx=4;dimu=0;}; |
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540 | |
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541 | vec eval ( const vec &x0, const vec &u0 ) { |
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542 | vec y ( 2 ); |
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543 | y ( 0 ) = x0 ( 0 ); |
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544 | y ( 1 ) = x0 ( 1 ); |
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545 | return y; |
---|
546 | } |
---|
547 | |
---|
548 | void dfdx_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) { |
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549 | A.clear(); |
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550 | A ( 0,0 ) = 1.0; |
---|
551 | A ( 1,1 ) = 1.0; |
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552 | } |
---|
553 | }; |
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554 | |
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555 | UIREGISTER ( OMpmsm ); |
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556 | |
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557 | //! Observation model for PMSM drive with roundoff-errors |
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558 | class OMpmsmRO: public diffbifn { |
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559 | public: |
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560 | OMpmsmRO() :diffbifn () {dimy=2;dimx=4;dimu=0;}; |
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561 | |
---|
562 | vec eval ( const vec &x0, const vec &u0 ) { |
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563 | vec y ( 2 ); |
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564 | /* y ( 0 ) = x0 ( 0 ); |
---|
565 | y ( 1 ) = x0 ( 1 );*/ |
---|
566 | |
---|
567 | double istep=0.085; |
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568 | y[ 0 ] = istep*itpp::round( x0[ 0 ]/ istep) ; |
---|
569 | y[ 1 ] = istep*itpp::round( x0[ 1 ]/ istep); |
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570 | |
---|
571 | return y; |
---|
572 | } |
---|
573 | |
---|
574 | void dfdx_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) { |
---|
575 | A.clear(); |
---|
576 | A ( 0,0 ) = 1.0; |
---|
577 | A ( 1,1 ) = 1.0; |
---|
578 | } |
---|
579 | }; |
---|
580 | |
---|
581 | UIREGISTER ( OMpmsmRO ); |
---|
582 | |
---|
583 | class OMpmsmROMz: public OMpmsmRO{ |
---|
584 | public: |
---|
585 | OMpmsmROMz() :OMpmsmRO() {dimy=2;dimx=5;dimu=0;}; |
---|
586 | }; |
---|
587 | UIREGISTER ( OMpmsmROMz ); |
---|
588 | |
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589 | //! Observation model for PMSM drive and its derivative with respect to \f$x\f$ for full vector of observations |
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590 | class OMpmsm4: public diffbifn { |
---|
591 | public: |
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592 | OMpmsm4() :diffbifn () {dimy=4;dimx=4;dimu=2;}; |
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593 | |
---|
594 | vec eval ( const vec &x0, const vec &u0 ) { |
---|
595 | vec y ( 4 ); |
---|
596 | y = x0 ; |
---|
597 | return y; |
---|
598 | } |
---|
599 | |
---|
600 | void dfdx_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) { |
---|
601 | A.clear(); |
---|
602 | A(0,0)=1.0; |
---|
603 | A(1,1)=1.0; |
---|
604 | } |
---|
605 | }; |
---|
606 | |
---|
607 | UIREGISTER ( OMpmsm4 ); |
---|
608 | |
---|
609 | //! Observation model for PMSM drive id d-q coordinates |
---|
610 | class OMpmsmDQ: public diffbifn { |
---|
611 | public: |
---|
612 | OMpmsmDQ() :diffbifn () {dimy=2;dimx=4;dimu=2;}; |
---|
613 | |
---|
614 | vec eval ( const vec &x0, const vec &u0 ) { |
---|
615 | vec y ( 2 ); |
---|
616 | double ct = cos(x0(3)); |
---|
617 | double st = sin(x0(3)); |
---|
618 | y(0) = ct*x0(0)-st*x0(1); |
---|
619 | y(1) = st*x0(0)+ct*x0(1); |
---|
620 | |
---|
621 | return y; |
---|
622 | } |
---|
623 | |
---|
624 | void dfdx_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) { |
---|
625 | double ct = cos(x0(3)); |
---|
626 | double st = sin(x0(3)); |
---|
627 | A(0,0) = ct; |
---|
628 | A(1,0) = -st; |
---|
629 | A(0,1) = st; |
---|
630 | A(1,1) = ct; |
---|
631 | |
---|
632 | A(0,2) = 0.0; |
---|
633 | A(1,2) = 0.0; |
---|
634 | A(0,3) = -st*x0(0)-ct*x0(1); |
---|
635 | A(1,3) = ct*x0(0)-st*x0(1); |
---|
636 | } |
---|
637 | }; |
---|
638 | |
---|
639 | UIREGISTER ( OMpmsmDQ ); |
---|
640 | |
---|
641 | //! Observation model for PMSM drive in reduced form coordinates |
---|
642 | class OMpmsmOT: public diffbifn { |
---|
643 | public: |
---|
644 | double Rs, Ls, dt, Ypm, kp, p, J, Mz; |
---|
645 | |
---|
646 | virtual void set_parameters ( double Rs0, double Ls0, double dt0, double Ypm0, double kp0, double p0, double J0, double Mz0 ) {Rs=Rs0; Ls=Ls0; dt=dt0; Ypm=Ypm0; kp=kp0; p=p0; J=J0; Mz=Mz0;} |
---|
647 | |
---|
648 | OMpmsmOT() :diffbifn () {dimy=2;dimx=2;dimu=4;}; |
---|
649 | |
---|
650 | vec eval ( const vec &x0, const vec &u0 ) { |
---|
651 | vec y ( 2 ); |
---|
652 | const double &omm = x0(0); |
---|
653 | const double &thm = x0(1); |
---|
654 | |
---|
655 | const double &uam = u0 ( 0 ); |
---|
656 | const double &ubm = u0 ( 1 ); |
---|
657 | const double &iam = u0 ( 2 ); |
---|
658 | const double &ibm = u0 ( 3 ); |
---|
659 | |
---|
660 | y ( 0 ) = ( 1.0- Rs/Ls*dt ) * iam + Ypm/Ls*dt*omm * sin ( thm ) + uam*dt/Ls; |
---|
661 | //ib |
---|
662 | y ( 1 ) = ( 1.0- Rs/Ls*dt ) * ibm - Ypm/Ls*dt*omm * cos ( thm ) + ubm*dt/Ls; |
---|
663 | |
---|
664 | return y; |
---|
665 | } |
---|
666 | |
---|
667 | void dfdx_cond ( const vec &x0, const vec &u0, mat &A, bool full=true ) { |
---|
668 | const double &omm = x0(0); |
---|
669 | const double &thm = x0(1); |
---|
670 | |
---|
671 | A ( 0,0 ) = Ypm/Ls*dt* sin ( thm ); |
---|
672 | A ( 0,1 ) = Ypm/Ls*dt*omm * ( cos ( thm ) ); |
---|
673 | // d ib |
---|
674 | A ( 1,0 ) = -Ypm/Ls*dt* cos ( thm ); |
---|
675 | A ( 1,1 ) = Ypm/Ls*dt*omm * ( sin ( thm ) ); |
---|
676 | |
---|
677 | |
---|
678 | } |
---|
679 | |
---|
680 | void from_setting( const Setting &root ) |
---|
681 | { |
---|
682 | |
---|
683 | const SettingResolver& params_b=root["params"]; |
---|
684 | const Setting& params=params_b.result; |
---|
685 | |
---|
686 | set_parameters ( params["Rs"], params["Ls"], 125e-6, params["Fmag"], \ |
---|
687 | params["kp"], params["p"], params["J"], 0.0); |
---|
688 | }; |
---|
689 | |
---|
690 | }; |
---|
691 | |
---|
692 | UIREGISTER ( OMpmsmOT ); |
---|
693 | |
---|
694 | |
---|
695 | /*!@}*/ |
---|
696 | #endif //PMSM_H |
---|