#ifndef PMSM_CTR_H #define PMSM_CTR_H #include #include #include #include "pmsm.h" #include /*! \defgroup PMSM @{ */ using namespace bdm; /*! PI Controller*/ class PI_ctrl: public Controller{ public: //!integral state double S; double Pd; double Pi; double minOut; double maxOut; PI_ctrl(double Pd0, double Pi0, double minOut0, double maxOut0): S(0.0), Pd(Pd0), Pi(Pi0),minOut(minOut0),maxOut(maxOut0){} virtual vec ctrlaction ( const vec &cond ) { double tmp; tmp = Pd*cond(0)+S; S += Pi*cond(0); if (tmp>maxOut) tmp=maxOut; if (tmp Est; //! switch to use or not to use the internal estimator bool estim; // internal quantities filled by PMSMCtrl::ctrlaction() double isa; double isb; double ome; double the; double Ww; public: PMSMCtrl():Controller() { rv = RV("{ua ub }"); rvc = RV("{o_ia o_ib t_ua t_ub o_om o_th Ww }"); } void adapt(const itpp::vec& data){ if (estim){ vec y=data.get(0,1); vec u=data.get(2,3); if (Est->dimension()==2){ static vec cond(4); // cond.set_subvector(0,1,u); Est->bayes(y,cond); cond.set_subvector(2,3,y); // save 1-step delayed vectors } else { Est->bayes(y,u); } } } virtual vec ctrlaction(const itpp::vec& cond) { if (estim){ if (Est->dimension()==2){ vec x_est=Est->posterior().mean(); isa=cond(0); isb=cond(1); ome=x_est(0); the=x_est(1); } else { vec x_est=Est->posterior().mean(); isa=x_est(0); isb=x_est(1); ome=x_est(2); the=x_est(3); } } else { isa=cond(0);//x_est(0); isb=cond(1);//x_est(1); ome=cond(4);//x[2];//x_est(2); the=cond(5);//x_est(3); } Ww=cond(6); return empty_vec; // dummy return }; void from_setting(const libconfig::Setting& set){ Controller::from_setting(set); Est=UI::build(set,"estim",UI::optional); estim = Est; } void log_register ( logger &L, const string &prefix ) { Controller::log_register(L,prefix); if (estim) Est->log_register(L,prefix); } void log_write() const{ if (estim) Est->log_write(); } }; //UIREGISTER(PMSMCtrl); -- abstract class PMSM_PICtrl: public PMSMCtrl{ public: PI_ctrl Cwq; PI_ctrl Cuq; PI_ctrl Cud; PMSM_PICtrl():PMSMCtrl(), Cwq(3.0, 3.0*0.000125/0.1, -1200, 1200), Cuq(20.0, 20.0*0.000125/0.005, -1200, 1200), Cud(20.0, 20.0*0.000125/0.005, -1200, 1200) {} virtual vec ctrlaction(const itpp::vec& cond) { PMSMCtrl::ctrlaction(cond); // fills isa,isb,om,the double Isd = isa*cos(the)+isb*sin(the); double Isq = isb*cos(the)-isa*sin(the); double Iqw=(Cwq.ctrlaction(vec_1(Ww-ome)))(0); // conversion from vec double ud = (Cud.ctrlaction(vec_1(-Isd)))(0); double uq = (Cuq.ctrlaction(vec_1(Iqw-Isq)))(0); const double Ls0=0.003465; // inductance const double Fmag0= 0.1989; // Magnetic?? ud-=Ls0*ome*Iqw; // har uq+=Fmag0*ome; double Um = sqrt(ud*ud+uq*uq); double beta = atan(uq/ud); if (ud<0) beta += M_PI; beta +=the; vec uab(2); uab(0)=Um*cos(beta); // usx = usa uab(1)=Um*sin(beta); // usy return uab; }; }; UIREGISTER(PMSM_PICtrl); /*************************************/ /* LQ alpa-beta */ /*************************************/ class PMSM_LQCtrl: public PMSMCtrl{ public: /* PMSMCtrl: double isa; double isb; double ome; double the; double Ww; */ //PMSM parameters const double a; const double b; const double c; const double d; const double e; //input penalty double r; //time step const double Dt; //receding horizon int rec_hor; //system matrices mat A; //5x5 mat B; //5x2 //mat C; //2x5 mat Q; //5x5 mat R; //2x2 //control matrix mat L; vec uab; vec icond; //control maximum double MAXu; int MAXuflag; //lqg controler class LQG_universal lq; //prediction vec p_isa, p_isb, p_ome, p_the; PMSM_LQCtrl():PMSMCtrl(), a(0.9898), b(0.0072), c(0.0361), d(1.0), e(0.0149), r(0.005), Dt(0.000125), rec_hor(10), //for r is a default value rewrited by pcp.txt file value A(5, 5), B(5, 2), Q(5, 5), R(2, 2), uab(2), icond(6), MAXu(100.0), MAXuflag(0) { //set fix matrices elements & dimensions A.zeros(); A(0, 0) = A(1, 1) = a; A(2, 2) = d; A(2, 4) = d - 1; A(3, 2) = A(3, 4) = Dt; A(3, 3) = A(4, 4) = 1.0; B.zeros(); B(0, 0) = B(1, 1) = c; //C.zeros(); // C(0, 0) = C(1, 1) = 1.0; Q.zeros(); Q(2, 2) = 1.0; R.zeros(); } virtual vec ctrlaction(const itpp::vec& cond) { PMSMCtrl::ctrlaction(cond); // fills isa,isb,ome,the,Ww int i; lq.resetTime(); //create prediction p_isa.zeros(); p_isb.zeros(); p_ome.zeros(); p_the.zeros(); p_isa(0) = isa; p_isb(0) = isb; p_ome(0) = ome; p_the(0) = the; for(i = 0; i < rec_hor-1; i++){ p_isa(i+1) = a*p_isa(i) + b*p_ome(i)*sin(p_the(i)) + c*0;//uab(0); //use last used control p_isb(i+1) = a*p_isb(i) - b*p_ome(i)*cos(p_the(i)) + c*0;//uab(1); p_ome(i+1) = d*p_ome(i) + e*(p_isb(i)*cos(p_the(i)) - p_isa(i)*sin(p_the(i))); p_the(i+1) = p_the(i) + Dt*p_ome(i); } //create control matrix for(i = rec_hor; i > 0; i--){ //set variable matrices elements (A matrix only) A(0, 2) = b*sin(p_the(i)); A(0, 3) = b*(p_ome(i))*cos(p_the(i)); A(0, 4) = b*sin(p_the(i)); A(1, 2) = -b*cos(p_the(i)); A(1, 3) = b*(p_ome(i))*sin(p_the(i)); A(1, 4) = -b*cos(p_the(i)); A(2, 0) = -e*sin(p_the(i)); A(2, 1) = e*cos(p_the(i)); A(2, 3) = -e*(p_isa(i)*cos(p_the(i)) + p_isb(i)*sin(p_the(i))); lq.Models(0).A = A; lq.redesign(); } lq.redesign(); L = lq.getL(); icond(0) = isa; icond(1) = isb; icond(2) = ome - Ww; icond(3) = the; icond(4) = Ww; icond(5) = 0; vec tmp = L*icond; uab = tmp(0,1); if(MAXuflag == 1){ //square cut off if(uab(0) > MAXu) uab(0) = MAXu; else if(uab(0) < -MAXu) uab(0) = -MAXu; if(uab(1) > MAXu) uab(1) = MAXu; else if(uab(1) < -MAXu) uab(1) = -MAXu; } else if(MAXuflag == 2){ //circular cut off double uampl = sqrt(uab(0)*uab(0)+uab(1)*uab(1)); double uangl = atan2(uab(1), uab(0)); if (uampl > MAXu) uampl = MAXu; uab(0) = uampl*cos(uangl); uab(1) = uampl*sin(uangl); } //else{ //(MAXuflag == 0) //no cut off } return uab; } void from_setting(const Setting &set){ PMSMCtrl::from_setting(set); UI::get(r,set, "r", UI::optional); UI::get(rec_hor,set, "h", UI::optional); UI::get(MAXu,set, "MAXu", UI::optional); UI::get(MAXuflag,set, "MAXuflag", UI::optional); } void validate(){ R(0,0)=R(1,1)=r; p_isa.set_length(rec_hor+1); p_isb.set_length(rec_hor+1); p_ome.set_length(rec_hor+1); p_the.set_length(rec_hor+1); Array qloss(2); qloss(0).Q.setCh(Q); qloss(0).rv = RV("x", 5, 1); qloss(1).Q.setCh(R); qloss(1).rv = RV("u", 2, 0); lq.Losses = qloss; //set lq lq.rv = RV("u", 2, 0); lq.set_rvc(RV("x", 5, 0)); lq.horizon = rec_hor; Array model(2); model(0).A = A; model(0).B = vec("0 0 0 0 0"); model(0).rv = RV("x", 5, 0); model(0).rv_ret = RV("x", 5, 1); model(1).A = B; model(1).B = vec("0 0"); model(1).rv = RV("u", 2, 0); model(1).rv_ret = RV("x", 5, 1); lq.Models = model; lq.finalLoss.Q.setCh(Q); lq.finalLoss.rv = RV("x", 5, 1); lq.validate(); uab.zeros(); } }; UIREGISTER(PMSM_LQCtrl); /*************************************/ /* LQ d-q 1 */ /*************************************/ class PMSM_LQCtrl_dq: public PMSMCtrl{ public: /* PMSMCtrl: double isa; double isb; double ome; double the; double Ww; */ //PMSM parameters const double a; const double b; const double c; const double d; const double e; //input penalty double r; double rpd; //penalize differences u - u_old //time step const double Dt; //receding horizon int rec_hor; //system matrices mat A; //5x5 mat B; //5x2 //mat C; //2x5 mat Q; //5x5 mat R; //2x2 mat Rpd; //2x4 //control matrix mat L; vec uab; vec icondpd; vec u_old; //control maximum double MAXu; int MAXuflag; //lqg controler class LQG_universal lq; //prediction vec p_isa, p_isb, p_ome, p_the; PMSM_LQCtrl_dq():PMSMCtrl(), a(0.9898), b(0.0072), c(0.0361), d(1.0), e(0.0149), r(0.005), rpd(0.1), Dt(0.000125), rec_hor(10), //for r is a default value rewrited by pcp.txt file value A(5, 5), B(5, 2), Q(5, 5), R(2, 2), Rpd(2, 4), uab(2), u_old(2), icondpd(8), MAXu(100.0), MAXuflag(0) { //set fix matrices elements & dimensions A.zeros(); A(0, 0) = A(1, 1) = a; A(1, 2) = A(1, 4) = -b; A(2, 1) = e; A(2, 2) = d; A(2, 4) = d - 1; A(3, 2) = A(3, 4) = Dt; A(3, 3) = A(4, 4) = 1.0; B.zeros(); B(0, 0) = B(1, 1) = c; Q.zeros(); Q(2, 2) = 1.0; R.zeros(); Rpd.zeros(); u_old.zeros(); } virtual vec ctrlaction(const itpp::vec& cond) { PMSMCtrl::ctrlaction(cond); // fills isa,isb,ome,the,Ww vec udq; vec tmp; lq.resetTime(); L = lq.getL(); icondpd(0) = isa*cos(the) + isb*sin(the); icondpd(1) = isb*cos(the) - isa*sin(the); icondpd(2) = ome - Ww; icondpd(3) = the; icondpd(4) = Ww; icondpd(5) = u_old(0); icondpd(6) = u_old(1); icondpd(7) = 0; tmp = L*icondpd; udq = tmp(0,1); //uab = udq; //set size uab(0) = udq(0)*cos(the) - udq(1)*sin(the); uab(1) = udq(1)*cos(the) + udq(0)*sin(the); if(MAXuflag == 1){ //square cut off if(uab(0) > MAXu) uab(0) = MAXu; else if(uab(0) < -MAXu) uab(0) = -MAXu; if(uab(1) > MAXu) uab(1) = MAXu; else if(uab(1) < -MAXu) uab(1) = -MAXu; } else if(MAXuflag == 2){ //circular cut off double uampl = sqrt(uab(0)*uab(0)+uab(1)*uab(1)); double uangl = atan2(uab(1), uab(0)); if (uampl > MAXu) uampl = MAXu; uab(0) = uampl*cos(uangl); uab(1) = uampl*sin(uangl); } //else{ //(MAXuflag == 0) //no cut off } u_old = udq; return uab; } void from_setting(const Setting &set){ PMSMCtrl::from_setting(set); UI::get(r,set, "r", UI::optional); UI::get(rec_hor,set, "h", UI::optional); UI::get(MAXu,set, "MAXu", UI::optional); UI::get(MAXuflag,set, "MAXuflag", UI::optional); UI::get(rpd,set, "rpd", UI::optional); } void validate(){ R(0, 0) = R(1, 1) = r; Rpd(0, 0) = Rpd(1, 1) = rpd; Rpd(0, 2) = Rpd(1, 3) = -rpd; p_isa.set_length(rec_hor+1); p_isb.set_length(rec_hor+1); p_ome.set_length(rec_hor+1); p_the.set_length(rec_hor+1); Array qloss(3); qloss(0).Q.setCh(Q); qloss(0).rv = RV("x", 5, 1); qloss(1).Q.setCh(R); qloss(1).rv = RV("u", 2, 0); qloss(2).Q.setCh(Rpd); qloss(2).rv = RV("u", 2, 0); qloss(2).rv.add(RV("u", 2, -1)); lq.Losses = qloss; //set lq lq.rv = RV("u", 2, 0); RV tmp = RV("x", 5, 0); tmp.add(RV("u", 2, -1)); lq.set_rvc(tmp); lq.horizon = rec_hor; Array model(2); model(0).A = A; model(0).B = vec("0 0 0 0 0"); model(0).rv = RV("x", 5, 0); model(0).rv_ret = RV("x", 5, 1); model(1).A = B; model(1).B = vec("0 0"); model(1).rv = RV("u", 2, 0); model(1).rv_ret = RV("x", 5, 1); lq.Models = model; lq.finalLoss.Q.setCh(Q); lq.finalLoss.rv = RV("x", 5, 1); lq.validate(); uab.zeros(); //create control matrix for(int i = rec_hor; i > 0; i--){ lq.redesign(); } lq.redesign(); } }; UIREGISTER(PMSM_LQCtrl_dq); /*************************************/ /* LQ d-q 2 */ /*************************************/ class PMSM_LQCtrl_dq2: public PMSMCtrl{ public: /* PMSMCtrl: double isa; double isb; double ome; double the; double Ww; */ //PMSM parameters const double a; const double b; const double c; const double d; const double e; //input penalty double r; double rpd; //penalize differences u - u_old //time step const double Dt; //receding horizon int rec_hor; //system matrices mat A; //5x5 mat B; //5x2 //mat C; //2x5 mat Q; //5x5 mat R; //2x2 mat Rpd; //2x4 //control matrix mat L; vec uab,udq; vec icondpd; vec u_old; //control maximum double MAXu; int MAXuflag; //lqg controler class LQG_universal lq; //prediction vec p_isd, p_isq, p_ome, p_the; PMSM_LQCtrl_dq2():PMSMCtrl(), a(0.9898), b(0.0072), c(0.0361), d(1.0), e(0.0149), r(0.005), rpd(0.1), Dt(0.000125), rec_hor(10), //for r is a default value rewrited by pcp.txt file value A(5, 5), B(5, 2), Q(5, 5), R(2, 2), Rpd(2, 4), uab(2), udq(2), u_old(2), icondpd(8), MAXu(100.0), MAXuflag(0) { //set fix matrices elements & dimensions A.zeros(); A(0, 0) = A(1, 1) = a; A(2, 1) = e; A(2, 2) = d; A(2, 4) = d - 1; A(3, 2) = A(3, 4) = Dt; A(3, 3) = A(4, 4) = 1.0; B.zeros(); B(0, 0) = B(1, 1) = c; Q.zeros(); Q(2, 2) = 1.0; R.zeros(); Rpd.zeros(); u_old.zeros(); } virtual vec ctrlaction(const itpp::vec& cond) { PMSMCtrl::ctrlaction(cond); // fills isa,isb,ome,the,Ww int i; vec tmp; lq.resetTime(); //create prediction p_isd.zeros(); p_isq.zeros(); p_ome.zeros(); p_the.zeros(); p_isd(0) = isa*cos(the) + isb*sin(the);//isa; p_isq(0) = isb*cos(the) - isa*sin(the);//isb; p_ome(0) = ome; p_the(0) = the; for(i = 0; i < rec_hor-1; i++){ p_isd(i+1) = a*p_isd(i) + p_isq(i)*p_ome(i)*Dt; + c*0.5*(udq(0)+u_old(0)); p_isq(i+1) = -p_isd(i)*p_ome(i)*Dt + a*p_isq(i) - b*p_ome(i); + c*0.5*(udq(1)+u_old(1)); p_ome(i+1) = d*p_ome(i) + e*p_isq(i); p_the(i+1) = p_the(i) + Dt*p_ome(i); } //create control matrix for(i = rec_hor; i > 0; i--){ //set variable matrices elements (A matrix only) A(0, 1) = Dt*p_ome(i); A(0, 2) = Dt*p_isq(i); A(0, 4) = Dt*p_isq(i); A(1, 0) = -Dt*p_ome(i); A(1, 2) = -Dt*p_isd(i); A(1, 4) = -Dt*p_isq(i); lq.Models(0).A = A; lq.redesign(); } lq.redesign(); L = lq.getL(); icondpd(0) = isa*cos(the) + isb*sin(the); icondpd(1) = isb*cos(the) - isa*sin(the); icondpd(2) = ome - Ww; icondpd(3) = the; icondpd(4) = Ww; icondpd(5) = u_old(0); icondpd(6) = u_old(1); icondpd(7) = 0; tmp = L*icondpd; udq = tmp(0,1); //uab = udq; //set size uab(0) = udq(0)*cos(the) - udq(1)*sin(the); uab(1) = udq(1)*cos(the) + udq(0)*sin(the); if(MAXuflag == 1){ //square cut off if(uab(0) > MAXu) uab(0) = MAXu; else if(uab(0) < -MAXu) uab(0) = -MAXu; if(uab(1) > MAXu) uab(1) = MAXu; else if(uab(1) < -MAXu) uab(1) = -MAXu; } else if(MAXuflag == 2){ //circular cut off double uampl = sqrt(uab(0)*uab(0)+uab(1)*uab(1)); double uangl = atan2(uab(1), uab(0)); if (uampl > MAXu) uampl = MAXu; uab(0) = uampl*cos(uangl); uab(1) = uampl*sin(uangl); } //else{ //(MAXuflag == 0) //no cut off } u_old = udq; return uab; } void from_setting(const Setting &set){ PMSMCtrl::from_setting(set); UI::get(r,set, "r", UI::optional); UI::get(rec_hor,set, "h", UI::optional); UI::get(MAXu,set, "MAXu", UI::optional); UI::get(MAXuflag,set, "MAXuflag", UI::optional); UI::get(rpd,set, "rpd", UI::optional); } void validate(){ R(0, 0) = R(1, 1) = r; Rpd(0, 0) = Rpd(1, 1) = rpd; Rpd(0, 2) = Rpd(1, 3) = -rpd; p_isd.set_length(rec_hor+1); p_isq.set_length(rec_hor+1); p_ome.set_length(rec_hor+1); p_the.set_length(rec_hor+1); Array qloss(3); qloss(0).Q.setCh(Q); qloss(0).rv = RV("x", 5, 1); qloss(1).Q.setCh(R); qloss(1).rv = RV("u", 2, 0); qloss(2).Q.setCh(Rpd); qloss(2).rv = RV("u", 2, 0); qloss(2).rv.add(RV("u", 2, -1)); lq.Losses = qloss; //set lq lq.rv = RV("u", 2, 0); RV tmp = RV("x", 5, 0); tmp.add(RV("u", 2, -1)); lq.set_rvc(tmp); lq.horizon = rec_hor; Array model(2); model(0).A = A; model(0).B = vec("0 0 0 0 0"); model(0).rv = RV("x", 5, 0); model(0).rv_ret = RV("x", 5, 1); model(1).A = B; model(1).B = vec("0 0"); model(1).rv = RV("u", 2, 0); model(1).rv_ret = RV("x", 5, 1); lq.Models = model; lq.finalLoss.Q.setCh(Q); lq.finalLoss.rv = RV("x", 5, 1); lq.validate(); uab.zeros(); udq.zeros(); } }; UIREGISTER(PMSM_LQCtrl_dq2); /*!@}*/ #endif //PMSM_CTR_H