def __init__(self):
self.udref0 = ConstService(tex_name=r'u_{dref0}',
v_str='vd0 + ra*Id0 - xs*Iq0')
self.uqref0 = ConstService(
tex_name=r'u_{qref0}',
v_str='vq0 + ra*Iq0 + xs*Id0',
)
# PIvd_y, PIvq_y are Idref, Iqref
self.PIId = PIController(
u='Id - PIvd_y',
kp=self.KpId,
ki=self.KiId,
)
self.PIIq = PIController(
u='Iq - PIvq_y',
kp=self.KpIq,
ki=self.KiIq,
)
# udLag_y, uqLag_y are ud, uq
self.Id.e_str = 'vd + ra*Id - xs*Iq - udLag_y'
self.Iq.e_str = 'vq + ra*Iq + xs*Id - uqLag_y'
self.udref = Algeb(
tex_name=r'u_{dref}',
info='ud reference',
v_str='udref0',
e_str='PIId_y + vd - Iqref * xs - udref',
)
self.uqref = Algeb(
tex_name=r'u_{qref}',
info='uq reference',
v_str='uqref0',
e_str='PIIq_y + vq + Idref * xs - uqref',
)
self.udLag = Lag(
u='udref',
T=self.Tc,
K=1,
)
self.uqLag = Lag(
u='uqref',
T=self.Tc,
K=1,
)
self.ud = AliasState(self.udLag_y)
self.uq = AliasState(self.uqLag_y)
def __init__(self, system, config):
TGBase.__init__(self, system, config)
self.F1 = Lag(
u='ue * (omega - wref)',
T=self.T1,
K=self.K1,
)
self.F2 = LeadLag(
u=self.F1_y,
T1=self.T2,
T2=self.T3,
K=1.0,
)
self.HL = GainLimiter(
u='ue * (paux + pref0 - F2_y)',
K=1.0,
R=1.0,
lower=self.PMIN,
upper=self.PMAX,
)
self.F3 = Lag(
u=self.HL_y,
T=self.T4,
K=1.0,
)
self.F4 = Lag(
u=self.F3_y,
T=self.T5,
K=self.K2,
)
self.F5 = Lag(
u=self.F4_y,
T=self.T6,
K=self.K3,
)
self.pout.e_str = 'ue * ((1-K2)*F3_y + (1-K3)*F4_y + F5_y) - pout'
def __init__(self, system, config):
TGBase.__init__(self, system, config, add_sn=False)
# check if K1-K8 sums up to 1
self._sumK18 = ConstService(v_str='K1+K2+K3+K4+K5+K6+K7+K8',
info='summation of K1-K8',
tex_name=r"\sum_{i=1}^8 K_i")
self._K18c1 = InitChecker(
u=self._sumK18,
info='summation of K1-K8 and 1.0',
equal=1,
)
# check if `tm0 * (K2 + k4 + K6 + K8) = tm02 *(K1 + K3 + K5 + K7)
self._tm0K2 = PostInitService(
info='mul of tm0 and (K2+K4+K6+K8)',
v_str='zsyn2*tm0*(K2+K4+K6+K8)',
)
self._tm02K1 = PostInitService(
info='mul of tm02 and (K1+K3+K5+K6)',
v_str='tm02*(K1+K3+K5+K7)',
)
self._Pc = InitChecker(
u=self._tm0K2,
info='proportionality of tm0 and tm02',
equal=self._tm02K1,
)
self.Sg2 = ExtParam(
src='Sn',
model='SynGen',
indexer=self.syn2,
allow_none=True,
default=0.0,
tex_name='S_{n2}',
info='Rated power of Syn2',
unit='MVA',
export=False,
)
self.Sg12 = ParamCalc(
self.Sg,
self.Sg2,
func=np.add,
tex_name="S_{g12}",
info='Sum of generator power ratings',
)
self.Sn = NumSelect(
self.Tn,
fallback=self.Sg12,
tex_name='S_n',
info='Turbine or Gen rating',
)
self.zsyn2 = FlagValue(
self.syn2,
value=None,
tex_name='z_{syn2}',
info='Exist flags for syn2',
)
self.tm02 = ExtService(
src='tm',
model='SynGen',
indexer=self.syn2,
tex_name=r'\tau_{m02}',
info='Initial mechanical input of syn2',
allow_none=True,
default=0.0,
)
self.tm012 = ConstService(
info='total turbine power',
v_str='tm0 + tm02',
)
self.tm2 = ExtAlgeb(
src='tm',
model='SynGen',
indexer=self.syn2,
allow_none=True,
tex_name=r'\tau_{m2}',
e_str='zsyn2 * u * (PLP - tm02)',
info='Mechanical power to syn2',
)
self.wd = Algeb(
info='Generator under speed',
unit='p.u.',
tex_name=r'\omega_{dev}',
v_str='0',
e_str='(wref - omega) - wd',
)
self.LL = LeadLag(
u=self.wd,
T1=self.T2,
T2=self.T1,
K=self.K,
info='Signal conditioning for wd',
)
# `P0` == `tm0`
self.vs = Algeb(
info='Valve speed',
tex_name='V_s',
v_str='0',
e_str='(LL_y + tm012 + paux - IAW_y) / T3 - vs',
)
self.HL = HardLimiter(
u=self.vs,
lower=self.UC,
upper=self.UO,
info='Limiter on valve acceleration',
)
self.vsl = Algeb(
info='Valve move speed after limiter',
tex_name='V_{sl}',
v_str='vs * HL_zi + UC * HL_zl + UO * HL_zu',
e_str='vs * HL_zi + UC * HL_zl + UO * HL_zu - vsl',
)
self.IAW = IntegratorAntiWindup(
u=self.vsl,
T=1,
K=1,
y0=self.tm012,
lower=self.PMIN,
upper=self.PMAX,
info='Valve position integrator',
)
self.L4 = Lag(
u=self.IAW_y,
T=self.T4,
K=1,
info='first process',
)
self.L5 = Lag(
u=self.L4_y,
T=self.T5,
K=1,
info='second (reheat) process',
)
self.L6 = Lag(
u=self.L5_y,
T=self.T6,
K=1,
info='third process',
)
self.L7 = Lag(
u=self.L6_y,
T=self.T7,
K=1,
info='fourth (second reheat) process',
)
self.PHP = Algeb(
info='HP output',
tex_name='P_{HP}',
v_str='K1*L4_y + K3*L5_y + K5*L6_y + K7*L7_y',
e_str='K1*L4_y + K3*L5_y + K5*L6_y + K7*L7_y - PHP',
)
self.PLP = Algeb(
info='LP output',
tex_name='P_{LP}',
v_str='K2*L4_y + K4*L5_y + K6*L6_y + K8*L7_y',
e_str='K2*L4_y + K4*L5_y + K6*L6_y + K8*L7_y - PLP',
)
self.pout.e_str = 'PHP - pout'
def __init__(self, system, config):
Model.__init__(self, system, config)
self.flags.tds = True
self.group = 'RenExciter'
self.config.add(OrderedDict((('kqs', 2),
('kvs', 2),
('tpfilt', 0.02),
)))
self.config.add_extra('_help',
kqs='Q PI controller tracking gain',
kvs='Voltage PI controller tracking gain',
tpfilt='Time const. for Pref filter',
)
self.config.add_extra('_tex',
kqs='K_{qs}',
kvs='K_{vs}',
tpfilt='T_{pfilt}',
)
# --- Sanitize inputs ---
self.Imaxr = Replace(self.Imax, flt=lambda x: np.less_equal(x, 0), new_val=1e8,
tex_name='I_{maxr}')
# --- Flag switchers ---
self.SWPF = Switcher(u=self.PFFLAG, options=(0, 1), tex_name='SW_{PF}', cache=True)
self.SWV = Switcher(u=self.VFLAG, options=(0, 1), tex_name='SW_{V}', cache=True)
self.SWQ = Switcher(u=self.QFLAG, options=(0, 1), tex_name='SW_{V}', cache=True)
self.SWP = Switcher(u=self.PFLAG, options=(0, 1), tex_name='SW_{P}', cache=True)
self.SWPQ = Switcher(u=self.PQFLAG, options=(0, 1), tex_name='SW_{PQ}', cache=True)
# --- External parameters ---
self.bus = ExtParam(model='RenGen', src='bus', indexer=self.reg, export=False,
info='Retrieved bus idx', vtype=str, default=None,
)
self.buss = DataSelect(self.busr, self.bus, info='selected bus (bus or busr)')
self.gen = ExtParam(model='RenGen', src='gen', indexer=self.reg, export=False,
info='Retrieved StaticGen idx', vtype=str, default=None,
)
self.Sn = ExtParam(model='RenGen', src='Sn', indexer=self.reg,
tex_name='S_n', export=False,
)
# --- External variables ---
self.a = ExtAlgeb(model='Bus',
src='a',
indexer=self.bus,
tex_name=r'\theta',
info='Bus voltage angle',
)
self.v = ExtAlgeb(model='Bus',
src='v',
indexer=self.bus,
tex_name=r'V',
info='Bus voltage magnitude',
) # check whether to use `bus` or `buss`
self.Pe = ExtAlgeb(model='RenGen', src='Pe', indexer=self.reg, export=False,
info='Retrieved Pe of RenGen')
self.Qe = ExtAlgeb(model='RenGen', src='Qe', indexer=self.reg, export=False,
info='Retrieved Qe of RenGen')
self.Ipcmd = ExtAlgeb(model='RenGen', src='Ipcmd', indexer=self.reg, export=False,
info='Retrieved Ipcmd of RenGen',
e_str='-Ipcmd0 + IpHL_y',
)
self.Iqcmd = ExtAlgeb(model='RenGen', src='Iqcmd', indexer=self.reg, export=False,
info='Retrieved Iqcmd of RenGen',
e_str='-Iqcmd0 - IqHL_y',
)
self.p0 = ExtService(model='RenGen',
src='p0',
indexer=self.reg,
tex_name='P_0',
)
self.q0 = ExtService(model='RenGen',
src='q0',
indexer=self.reg,
tex_name='Q_0',
)
# Initial current commands
self.Ipcmd0 = ConstService('p0 / v', info='initial Ipcmd')
self.Iqcmd0 = ConstService('-q0 / v', info='initial Iqcmd')
# --- Initial power factor angle ---
# NOTE: if `p0` = 0, `pfaref0` = pi/2, `tan(pfaref0)` = inf
self.pfaref0 = ConstService(v_str='atan2(q0, p0)', tex_name=r'\Phi_{ref0}',
info='Initial power factor angle',
)
# flag devices with `p0`=0, which causes `tan(PF) = +inf`
self.zp0 = ConstService(v_str='Eq(p0, 0)',
vtype=float,
tex_name='z_{p0}',
)
# --- Discrete components ---
self.Vcmp = Limiter(u=self.v, lower=self.Vdip, upper=self.Vup, tex_name='V_{cmp}',
info='Voltage dip comparator', equal=False,
)
self.Volt_dip = VarService(v_str='1 - Vcmp_zi',
info='Voltage dip flag; 1-dip, 0-normal',
tex_name='z_{Vdip}',
)
# --- Equations begin ---
self.s0 = Lag(u=self.v, T=self.Trv, K=1,
info='Voltage filter',
)
self.VLower = Limiter(u=self.v, lower=0.01, upper=999, no_upper=True,
info='Limiter for lower voltage cap',
)
self.vp = Algeb(tex_name='V_p',
info='Sensed lower-capped voltage',
v_str='v * VLower_zi + 0.01 * VLower_zl',
e_str='v * VLower_zi + 0.01 * VLower_zl - vp',
)
self.pfaref = Algeb(tex_name=r'\Phi_{ref}',
info='power factor angle ref',
unit='rad',
v_str='pfaref0',
e_str='pfaref0 - pfaref',
)
self.S1 = Lag(u='Pe', T=self.Tp, K=1, tex_name='S_1', info='Pe filter',
)
# ignore `Qcpf` if `pfaref` is pi/2 by multiplying (1-zp0)
self.Qcpf = Algeb(tex_name='Q_{cpf}',
info='Q calculated from P and power factor',
v_str='q0',
e_str='(1-zp0) * (S1_y * tan(pfaref) - Qcpf)',
diag_eps=True,
unit='p.u.',
)
self.Qref = Algeb(tex_name='Q_{ref}',
info='external Q ref',
v_str='q0',
e_str='q0 - Qref',
unit='p.u.',
)
self.PFsel = Algeb(v_str='SWPF_s0*Qref + SWPF_s1*Qcpf',
e_str='SWPF_s0*Qref + SWPF_s1*Qcpf - PFsel',
info='Output of PFFLAG selector',
)
self.PFlim = Limiter(u=self.PFsel, lower=self.QMin, upper=self.QMax)
self.Qerr = Algeb(tex_name='Q_{err}',
info='Reactive power error',
v_str='(PFsel*PFlim_zi + QMin*PFlim_zl + QMax*PFlim_zu) - Qe',
e_str='(PFsel*PFlim_zi + QMin*PFlim_zl + QMax*PFlim_zu) - Qe - Qerr',
)
self.PIQ = PITrackAWFreeze(u=self.Qerr,
kp=self.Kqp, ki=self.Kqi, ks=self.config.kqs,
lower=self.VMIN, upper=self.VMAX,
freeze=self.Volt_dip,
)
# If `VFLAG=0`, set the input as `Vref1` (see the NREL report)
self.Vsel = GainLimiter(u='SWV_s0 * Vref1 + SWV_s1 * PIQ_y',
K=1, R=1,
lower=self.VMIN, upper=self.VMAX,
info='Selection output of VFLAG',
)
# --- Placeholders for `Iqmin` and `Iqmax` ---
self.s4 = LagFreeze(u='PFsel / vp', T=self.Tiq, K=1,
freeze=self.Volt_dip,
tex_name='s_4',
info='Filter for calculated voltage with freeze',
)
# --- Upper portion - Iqinj calculation ---
self.Verr = Algeb(info='Voltage error (Vref0)',
v_str='Vref0 - s0_y',
e_str='Vref0 - s0_y - Verr',
tex_name='V_{err}',
)
self.dbV = DeadBand1(u=self.Verr, lower=self.dbd1, upper=self.dbd2,
center=0.0,
enable='DB_{V}',
info='Deadband for voltage error (ref0)'
)
self.pThld = ConstService(v_str='Indicator(Thld > 0)', tex_name='p_{Thld}')
self.nThld = ConstService(v_str='Indicator(Thld < 0)', tex_name='n_{Thld}')
self.Thld_abs = ConstService(v_str='abs(Thld)', tex_name='|Thld|')
self.fThld = ExtendedEvent(self.Volt_dip,
t_ext=self.Thld_abs,
)
# Gain after dbB
Iqv = "(dbV_y * Kqv)"
Iqinj = f'{Iqv} * Volt_dip + ' \
f'(1 - Volt_dip) * fThld * ({Iqv} * nThld + Iqfrz * pThld)'
# state transition, output of Iqinj
self.Iqinj = Algeb(v_str=Iqinj,
e_str=Iqinj + ' - Iqinj',
tex_name='I_{qinj}',
info='Additional Iq signal during under- or over-voltage',
)
# --- Lower portion - active power ---
self.wg = Algeb(tex_name=r'\omega_g',
info='Drive train generator speed',
v_str='1.0',
e_str='1.0 - wg',
)
self.Pref = Algeb(tex_name='P_{ref}',
info='external P ref',
v_str='p0 / wg',
e_str='p0 / wg - Pref',
unit='p.u.',
)
self.pfilt = LagRate(u=self.Pref, T=self.config.tpfilt, K=1,
rate_lower=self.dPmin, rate_upper=self.dPmax,
info='Active power filter with rate limits',
tex_name='P_{filt}',
)
self.Psel = Algeb(tex_name='P_{sel}',
info='Output selection of PFLAG',
v_str='SWP_s1*wg*pfilt_y + SWP_s0*pfilt_y',
e_str='SWP_s1*wg*pfilt_y + SWP_s0*pfilt_y - Psel',
)
# `s5_y` is `Pord`
self.s5 = LagAWFreeze(u=self.Psel, T=self.Tpord, K=1,
lower=self.PMIN, upper=self.PMAX,
freeze=self.Volt_dip,
tex_name='s5',
)
self.Pord = AliasState(self.s5_y)
# --- Current limit logic ---
self.kVq12 = ConstService(v_str='(Iq2 - Iq1) / (Vq2 - Vq1)',
tex_name='k_{Vq12}',
)
self.kVq23 = ConstService(v_str='(Iq3 - Iq2) / (Vq3 - Vq2)',
tex_name='k_{Vq23}',
)
self.kVq34 = ConstService(v_str='(Iq4 - Iq3) / (Vq4 - Vq3)',
tex_name='k_{Vq34}',
)
self.zVDL1 = ConstService(v_str='(Vq1 <= Vq2) & (Vq2 <= Vq3) & (Vq3 <= Vq4) & '
'(Iq1 <= Iq2) & (Iq2 <= Iq3) & (Iq3 <= Iq4)',
tex_name='z_{VDL1}',
info='True if VDL1 is in service',
)
self.VDL1 = Piecewise(u=self.s0_y,
points=('Vq1', 'Vq2', 'Vq3', 'Vq4'),
funs=('Iq1',
f'({self.s0_y.name} - Vq1) * kVq12 + Iq1',
f'({self.s0_y.name} - Vq2) * kVq23 + Iq2',
f'({self.s0_y.name} - Vq3) * kVq34 + Iq3',
'Iq4'),
tex_name='V_{DL1}',
info='Piecewise linear characteristics of Vq-Iq',
)
self.kVp12 = ConstService(v_str='(Ip2 - Ip1) / (Vp2 - Vp1)',
tex_name='k_{Vp12}',
)
self.kVp23 = ConstService(v_str='(Ip3 - Ip2) / (Vp3 - Vp2)',
tex_name='k_{Vp23}',
)
self.kVp34 = ConstService(v_str='(Ip4 - Ip3) / (Vp4 - Vp3)',
tex_name='k_{Vp34}',
)
self.zVDL2 = ConstService(v_str='(Vp1 <= Vp2) & (Vp2 <= Vp3) & (Vp3 <= Vp4) & '
'(Ip1 <= Ip2) & (Ip2 <= Ip3) & (Ip3 <= Ip4)',
tex_name='z_{VDL2}',
info='True if VDL2 is in service',
)
self.VDL2 = Piecewise(u=self.s0_y,
points=('Vp1', 'Vp2', 'Vp3', 'Vp4'),
funs=('Ip1',
f'({self.s0_y.name} - Vp1) * kVp12 + Ip1',
f'({self.s0_y.name} - Vp2) * kVp23 + Ip2',
f'({self.s0_y.name} - Vp3) * kVp34 + Ip3',
'Ip4'),
tex_name='V_{DL2}',
info='Piecewise linear characteristics of Vp-Ip',
)
self.fThld2 = ExtendedEvent(self.Volt_dip,
t_ext=self.Thld2,
extend_only=True,
)
self.VDL1c = VarService(v_str='Lt(VDL1_y, Imaxr)')
self.VDL2c = VarService(v_str='Lt(VDL2_y, Imaxr)')
# `Iqmax` not considering mode or `Thld2`
Iqmax1 = '(zVDL1*(VDL1c*VDL1_y + (1-VDL1c)*Imaxr) + 1e8*(1-zVDL1))'
# `Ipmax` not considering mode or `Thld2`
Ipmax1 = '(zVDL2*(VDL2c*VDL2_y + (1-VDL2c)*Imaxr) + 1e8*(1-zVDL2))'
Ipmax2sq0 = '(Imax**2 - Iqcmd0**2)'
Ipmax2sq = '(Imax**2 - IqHL_y**2)'
# `Ipmax20`-squared (non-negative)
self.Ipmax2sq0 = ConstService(v_str=f'Piecewise((0, Le({Ipmax2sq0}, 0.0)), ({Ipmax2sq0}, True), \
evaluate=False)',
tex_name='I_{pmax20,nn}^2',
)
self.Ipmax2sq = VarService(v_str=f'Piecewise((0, Le({Ipmax2sq}, 0.0)), ({Ipmax2sq}, True), \
evaluate=False)',
tex_name='I_{pmax2}^2',
)
Ipmax = f'((1-fThld2) * (SWPQ_s0*sqrt(Ipmax2sq) + SWPQ_s1*{Ipmax1}))'
Ipmax0 = f'((1-fThld2) * (SWPQ_s0*sqrt(Ipmax2sq0) + SWPQ_s1*{Ipmax1}))'
self.Ipmax = Algeb(v_str=f'{Ipmax0}',
e_str=f'{Ipmax} + (fThld2 * Ipmaxh) - Ipmax',
tex_name='I_{pmax}',
diag_eps=True,
info='Upper limit on Ipcmd',
)
self.Ipmaxh = VarHold(self.Ipmax, hold=self.fThld2)
Iqmax2sq = '(Imax**2 - IpHL_y**2)'
Iqmax2sq0 = '(Imax**2 - Ipcmd0**2)' # initialization equation by using `Ipcmd0`
self.Iqmax2sq0 = ConstService(v_str=f'Piecewise((0, Le({Iqmax2sq0}, 0.0)), ({Iqmax2sq0}, True), \
evaluate=False)',
tex_name='I_{qmax,nn}^2',
)
self.Iqmax2sq = VarService(v_str=f'Piecewise((0, Le({Iqmax2sq}, 0.0)), ({Iqmax2sq}, True), \
evaluate=False)',
tex_name='I_{qmax2}^2')
self.Iqmax = Algeb(v_str=f'(SWPQ_s0*{Iqmax1} + SWPQ_s1*sqrt(Iqmax2sq0))',
e_str=f'(SWPQ_s0*{Iqmax1} + SWPQ_s1*sqrt(Iqmax2sq)) - Iqmax',
tex_name='I_{qmax}',
info='Upper limit on Iqcmd',
)
self.Iqmin = ApplyFunc(self.Iqmax, lambda x: -x, cache=False,
tex_name='I_{qmin}',
info='Lower limit on Iqcmd',
)
self.Ipmin = ConstService(v_str='0.0', tex_name='I_{pmin}',
info='Lower limit on Ipcmd',
)
self.PIV = PITrackAWFreeze(u='Vsel_y - s0_y * SWV_s0',
x0='-SWQ_s1 * Iqcmd0',
kp=self.Kvp, ki=self.Kvi, ks=self.config.kvs,
lower=self.Iqmin, upper=self.Iqmax,
freeze=self.Volt_dip,
)
self.Qsel = Algeb(info='Selection output of QFLAG',
v_str='SWQ_s1 * PIV_y + SWQ_s0 * s4_y',
e_str='SWQ_s1 * PIV_y + SWQ_s0 * s4_y - Qsel',
tex_name='Q_{sel}',
)
# `IpHL_y` is `Ipcmd`
self.IpHL = GainLimiter(u='s5_y / vp',
K=1, R=1,
lower=self.Ipmin, upper=self.Ipmax,
)
# `IqHL_y` is `Iqcmd`
self.IqHL = GainLimiter(u='Qsel + Iqinj',
K=1, R=1,
lower=self.Iqmin, upper=self.Iqmax)
def __init__(self, system, config):
Model.__init__(self, system, config)
self.flags.tds = True
self.group = 'RenTorque'
self.kp1 = ConstService(v_str='(sp2 - sp1) / (p2 - p1)',
tex_name='k_{p1}',
)
self.kp2 = ConstService(v_str='(sp3 - sp2) / (p3 - p2)',
tex_name='k_{p2}',
)
self.kp3 = ConstService(v_str='(sp4 - sp3) / (p4 - p3)',
tex_name='k_{p3}',
)
self.rea = ExtParam(model='RenPitch', src='rea', indexer=self.rep, export=False,
)
self.rego = ExtParam(model='RenAerodynamics', src='rego', indexer=self.rea,
export=False,
)
self.ree = ExtParam(model='RenGovernor', src='ree', indexer=self.rego,
export=False,
)
self.reg = ExtParam(model='RenExciter', src='reg', indexer=self.ree,
export=False,)
self.Sngo = ExtParam(model='RenGovernor', src='Sn', indexer=self.rego,
tex_name='S_{n,go}', export=False,
)
self.Sn = NumSelect(self.Tn,
fallback=self.Sngo,
tex_name='S_n',
info='Turbine or RenGovernor rating',
)
self.Pe = ExtAlgeb(model='RenGen', src='Pe', indexer=self.reg,
tex_name='P_e', export=False,
)
self.s1 = Lag(u=self.Pe, T=self.Tp, K=1.0, tex_name='s_1',
info='Pe filter',
)
self.fPe = Piecewise(u=self.s1_y,
points=('p1', 'p2', 'p3', 'p4'),
funs=('sp1',
f'sp1 + ({self.s1_y.name} - p1) * kp1',
f'sp2 + ({self.s1_y.name} - p2) * kp2',
f'sp3 + ({self.s1_y.name} - p3) * kp3',
'sp4'),
tex_name='f_{Pe}',
info='Piecewise Pe to wref mapping',
)
# Overwrite `wg` and `wt` initial values in turbine governors
self.wg = ExtState(model='RenGovernor', src='wg', indexer=self.rego,
tex_name=r'\omega_g', export=False,
v_str='fPe_y',
v_setter=True,
)
self.wt = ExtState(model='RenGovernor', src='wt', indexer=self.rego,
tex_name=r'\omega_t', export=False,
v_str='fPe_y',
v_setter=True,
)
self.s3_y = ExtState(model='RenGovernor', src='s3_y', indexer=self.rego,
tex_name='y_{s3}', export=False,
v_str='Pref0 / wg / Kshaft',
v_setter=True,
)
self.w0 = ExtParam(model='RenGovernor', src='w0', indexer=self.rego,
tex_name=r'\omega_0', export=False,
)
self.Kshaft = ExtService(model='RenGovernor', src='Kshaft', indexer=self.rego,
tex_name='K_{shaft}',
)
self.wr0 = ExtAlgeb(model='RenGovernor', src='wr0', indexer=self.rego,
tex_name=r'\omega_{r0}', export=False,
info='Retrieved initial w0 from RenGovernor',
v_str='fPe_y',
e_str='-w0 + fPe_y',
v_setter=True,
ename='dwr',
tex_ename=r'\Delta \omega_r',
)
self.s2 = Lag(u=self.fPe_y, T=self.Twref, K=1.0,
tex_name='s_2', info='speed filter',
)
self.SWT = Switcher(u=self.Tflag, options=(0, 1),
tex_name='SW_{T}',
cache=True,
)
self.Tsel = Algeb(tex_name='T_{sel}',
info='Output after Tflag selector',
discrete=self.SWT
)
self.Tsel.v_str = 'SWT_s1 * (Pe - Pref0) / wg +' \
'SWT_s0 * (s2_y - wg)'
self.Tsel.e_str = f'{self.Tsel.v_str} - Tsel'
self.PI = PIAWHardLimit(u=self.Tsel, kp=self.Kpp, ki=self.Kip,
aw_lower=self.Temin, aw_upper=self.Temax,
lower=self.Temin, upper=self.Temax,
tex_name='PI',
info='PI controller',
x0='Pref0 / fPe_y',
)
# Note:
# Reset `wg` of REECA1 to 1.0 becase `wg` has already been multiplied
# in the toeque model.
# This effectively sets `PFLAG` to 0 if the torque model is connected.
self.wge = ExtAlgeb(model='RenExciter', src='wg', indexer=self.ree,
tex_name=r'\omega_{ge}', export=False,
v_str='1.0',
e_str='-fPe_y + 1',
v_setter=True,
ename='dwg',
tex_ename=r'\Delta \omega_g',
)
self.Pref0 = ExtService(model='RenExciter', src='p0', indexer=self.ree,
tex_name='P_{ref0}',
)
self.Pref = ExtAlgeb(model='RenExciter', src='Pref', indexer=self.ree,
tex_name='P_{ref}', export=False,
e_str='-Pref0 / wge + PI_y * wg',
v_str='PI_y * wg',
v_setter=True,
ename='Pref',
tex_ename='P_{ref}',
)
def __init__(self, system, config):
Model.__init__(self, system, config)
self.group = 'RenPlant'
self.flags.tds = True
self.config.add(OrderedDict((
('kqs', 2),
('ksg', 2),
('freeze', 1),
)))
self.config.add_extra(
'_help',
kqs='Tracking gain for reactive power PI controller',
ksg='Tracking gain for active power PI controller',
freeze='Voltage dip freeze flag; 1-enable, 0-disable',
)
self.config.add_extra('_tex',
kqs='K_{qs}',
ksg='K_{sg}',
freeze='f_{rz}')
# --- from RenExciter ---
self.reg = ExtParam(
model='RenExciter',
src='reg',
indexer=self.ree,
export=False,
info='Retrieved RenGen idx',
vtype=str,
default=None,
)
self.Pext = ExtAlgeb(
model='RenExciter',
src='Pref',
indexer=self.ree,
info='Pref from RenExciter renamed as Pext',
tex_name='P_{ext}',
)
self.Qext = ExtAlgeb(
model='RenExciter',
src='Qref',
indexer=self.ree,
info='Qref from RenExciter renamed as Qext',
tex_name='Q_{ext}',
)
# --- from RenGen ---
self.bus = ExtParam(
model='RenGen',
src='bus',
indexer=self.reg,
export=False,
info='Retrieved bus idx',
vtype=str,
default=None,
)
self.buss = DataSelect(self.busr,
self.bus,
info='selected bus (bus or busr)')
self.busfreq = DeviceFinder(self.busf, link=self.buss, idx_name='bus')
# from Bus
self.v = ExtAlgeb(
model='Bus',
src='v',
indexer=self.buss,
tex_name='V',
info='Bus (or busr, if given) terminal voltage',
)
self.a = ExtAlgeb(
model='Bus',
src='a',
indexer=self.buss,
tex_name=r'\theta',
info='Bus (or busr, if given) phase angle',
)
self.v0 = ExtService(
model='Bus',
src='v',
indexer=self.buss,
tex_name="V_0",
info='Initial bus voltage',
)
# from BusFreq
self.f = ExtAlgeb(model='FreqMeasurement',
src='f',
indexer=self.busfreq,
export=False,
info='Bus frequency',
unit='p.u.')
# from Line
self.bus1 = ExtParam(
model='ACLine',
src='bus1',
indexer=self.line,
export=False,
info='Retrieved Line.bus1 idx',
vtype=str,
default=None,
)
self.bus2 = ExtParam(
model='ACLine',
src='bus2',
indexer=self.line,
export=False,
info='Retrieved Line.bus2 idx',
vtype=str,
default=None,
)
self.r = ExtParam(
model='ACLine',
src='r',
indexer=self.line,
export=False,
info='Retrieved Line.r',
vtype=str,
default=None,
)
self.x = ExtParam(
model='ACLine',
src='x',
indexer=self.line,
export=False,
info='Retrieved Line.x',
vtype=str,
default=None,
)
self.v1 = ExtAlgeb(
model='ACLine',
src='v1',
indexer=self.line,
tex_name='V_1',
info='Voltage at Line.bus1',
)
self.v2 = ExtAlgeb(
model='ACLine',
src='v2',
indexer=self.line,
tex_name='V_2',
info='Voltage at Line.bus2',
)
self.a1 = ExtAlgeb(
model='ACLine',
src='a1',
indexer=self.line,
tex_name=r'\theta_1',
info='Angle at Line.bus1',
)
self.a2 = ExtAlgeb(
model='ACLine',
src='a2',
indexer=self.line,
tex_name=r'\theta_2',
info='Angle at Line.bus2',
)
# -- begin services ---
self.Isign = CurrentSign(self.bus,
self.bus1,
self.bus2,
tex_name='I_{sign}')
Iline = '(Isign * (v1*exp(1j*a1) - v2*exp(1j*a2)) / (r + 1j*x))'
self.Iline = VarService(
v_str=Iline,
vtype=complex,
info='Complex current from bus1 to bus2',
tex_name='I_{line}',
)
self.Iline0 = ConstService(
v_str='Iline',
vtype=complex,
info='Initial complex current from bus1 to bus2',
tex_name='I_{line0}',
)
Pline = 're(Isign * v1*exp(1j*a1) * conj((v1*exp(1j*a1) - v2*exp(1j*a2)) / (r + 1j*x)))'
self.Pline = VarService(
v_str=Pline,
vtype=float,
info='Complex power from bus1 to bus2',
tex_name='P_{line}',
)
self.Pline0 = ConstService(
v_str='Pline',
vtype=float,
info='Initial vomplex power from bus1 to bus2',
tex_name='P_{line0}',
)
Qline = 'im(Isign * v1*exp(1j*a1) * conj((v1*exp(1j*a1) - v2*exp(1j*a2)) / (r + 1j*x)))'
self.Qline = VarService(
v_str=Qline,
vtype=float,
info='Complex power from bus1 to bus2',
tex_name='Q_{line}',
)
self.Qline0 = ConstService(
v_str='Qline',
vtype=float,
info='Initial complex power from bus1 to bus2',
tex_name='Q_{line0}',
)
self.Rcs = NumSelect(
self.Rc,
self.r,
info='Line R (Rc if provided, otherwise line.r)',
tex_name='R_{cs}',
)
self.Xcs = NumSelect(
self.Xc,
self.x,
info='Line X (Xc if provided, otherwise line.x)',
tex_name='X_{cs}',
)
self.Vcomp = VarService(
v_str='abs(v*exp(1j*a) - (Rcs + 1j * Xcs) * Iline)',
info='Voltage after Rc/Xc compensation',
tex_name='V_{comp}')
self.SWVC = Switcher(u=self.VCFlag,
options=(0, 1),
tex_name='SW_{VC}',
cache=True)
self.SWRef = Switcher(u=self.RefFlag,
options=(0, 1),
tex_name='SW_{Ref}',
cache=True)
self.SWF = Switcher(u=self.Fflag,
options=(0, 1),
tex_name='SW_{F}',
cache=True)
self.SWPL = Switcher(u=self.PLflag,
options=(0, 1),
tex_name='SW_{PL}',
cache=True)
VCsel = '(SWVC_s1 * Vcomp + SWVC_s0 * (Qline * Kc + v))'
self.Vref0 = ConstService(
v_str='(SWVC_s1 * Vcomp + SWVC_s0 * (Qline0 * Kc + v))',
tex_name='V_{ref0}',
)
self.s0 = Lag(
VCsel,
T=self.Tfltr,
K=1,
tex_name='s_0',
info='V filter',
) # s0_y is the filter output of voltage deviation
self.s1 = Lag(self.Qline, T=self.Tfltr, K=1, tex_name='s_1')
self.Vref = Algeb(v_str='Vref0',
e_str='Vref0 - Vref',
tex_name='Q_{ref}')
self.Qlinef = Algeb(v_str='Qline0',
e_str='Qline0 - Qlinef',
tex_name='Q_{linef}')
Refsel = '(SWRef_s0 * (Qlinef - s1_y) + SWRef_s1 * (Vref - s0_y))'
self.Refsel = Algeb(v_str=Refsel,
e_str=f'{Refsel} - Refsel',
tex_name='R_{efsel}')
self.dbd = DeadBand1(
u=self.Refsel,
lower=self.dbd1,
upper=self.dbd2,
center=0.0,
tex_name='d^{bd}',
)
# --- e Hardlimit and hold logic ---
self.eHL = Limiter(
u=self.dbd_y,
lower=self.emin,
upper=self.emax,
tex_name='e_{HL}',
info='Hardlimit on deadband output',
)
self.zf = VarService(
v_str='Indicator(v < Vfrz) * freeze',
tex_name='z_f',
info='PI Q input freeze signal',
)
self.enf = Algeb(
tex_name='e_{nf}',
info='e Hardlimit output before freeze',
v_str='dbd_y*eHL_zi + emax*eHL_zu + emin*eHL_zl',
e_str='dbd_y*eHL_zi + emax*eHL_zu + emin*eHL_zl - enf',
)
# --- hold of `enf` when v < vfrz
self.eHld = VarHold(
u=self.enf,
hold=self.zf,
tex_name='e_{hld}',
info='e Hardlimit output after conditional hold',
)
self.s2 = PITrackAW(
u='eHld',
kp=self.Kp,
ki=self.Ki,
ks=self.config.kqs,
lower=self.Qmin,
upper=self.Qmax,
info='PI controller for eHL output',
tex_name='s_2',
)
self.s3 = LeadLag(
u=self.s2_y,
T1=self.Tft,
T2=self.Tfv,
K=1,
tex_name='s_3',
) # s3_y == Qext
# Active power part
self.s4 = Lag(
self.Pline,
T=self.Tp,
K=1,
tex_name='s_4',
info='Pline filter',
)
self.Freq_ref = ConstService(v_str='1.0',
tex_name='f_{ref}',
info='Initial Freq_ref')
self.ferr = Algeb(
tex_name='f_{err}',
info='Frequency deviation',
unit='p.u. (Hz)',
v_str='(Freq_ref - f)',
e_str='(Freq_ref - f) - ferr',
)
self.fdbd = DeadBand1(
u=self.ferr,
center=0.0,
lower=self.fdbd1,
upper=self.fdbd2,
tex_name='f^{dbd}',
info='frequency error deadband',
)
self.fdlt0 = LessThan(
self.fdbd_y,
0.0,
tex_name='f_{dlt0}',
info='frequency deadband output less than zero',
)
fdroop = '(fdbd_y * Ddn * fdlt0_z1 + fdbd_y * Dup * fdlt0_z0)'
self.Plant_pref = Algeb(
tex_name='P_{ref}',
info='Plant P ref',
v_str='Pline0',
e_str='Pline0 - Plant_pref',
)
self.Plerr = Algeb(
tex_name='P_{lerr}',
info='Pline error',
v_str='- s4_y + Plant_pref',
e_str='- s4_y + Plant_pref - Plerr',
)
self.Perr = Algeb(
tex_name='P_{err}',
info='Power error before fe limits',
v_str=f'{fdroop} + Plerr * SWPL_s1',
e_str=f'{fdroop} + Plerr * SWPL_s1 - Perr',
)
self.feHL = Limiter(
self.Perr,
lower=self.femin,
upper=self.femax,
tex_name='f_{eHL}',
info='Limiter for power (frequency) error',
)
feout = '(Perr * feHL_zi + femin * feHL_zl + femax * feHL_zu)'
self.s5 = PITrackAW(
u=feout,
kp=self.Kpg,
ki=self.Kig,
ks=self.config.ksg,
lower=self.Pmin,
upper=self.Pmax,
tex_name='s_5',
info='PI for fe limiter output',
)
self.s6 = Lag(
u=self.s5_y,
T=self.Tg,
K=1,
tex_name='s_6',
info='Output filter for Pext',
)
Qext = '(s3_y)'
Pext = '(SWF_s1 * s6_y)'
self.Pext.e_str = Pext
self.Qext.e_str = Qext
def __init__(self, system, config):
Model.__init__(self, system, config)
self.flags.tds = True
self.group = 'RenGen'
self.a = ExtAlgeb(model='Bus',
src='a',
indexer=self.bus,
tex_name=r'\theta',
info='Bus voltage angle',
e_str='-Pe',
)
self.v = ExtAlgeb(model='Bus',
src='v',
indexer=self.bus,
tex_name=r'V',
info='Bus voltage magnitude',
e_str='-Qe',
)
self.p0s = ExtService(model='StaticGen',
src='p',
indexer=self.gen,
tex_name='P_{0s}',
info='initial P of the static gen',
)
self.q0s = ExtService(model='StaticGen',
src='q',
indexer=self.gen,
tex_name='Q_{0s}',
info='initial Q of the static gen',
)
self.p0 = ConstService(v_str='p0s * gammap',
tex_name='P_0',
info='initial P of this gen',
)
self.q0 = ConstService(v_str='q0s * gammaq',
tex_name='Q_0',
info='initial Q of this gen',
)
self.ra = ExtParam(model='StaticGen',
src='ra',
indexer=self.gen,
tex_name='r_a',
export=False,
)
self.xs = ExtParam(model='StaticGen',
src='xs',
indexer=self.gen,
tex_name='x_s',
export=False,
)
# --- INITIALIZATION ---
self.q0gt0 = ConstService('Indicator(q0> 0)', tex_name='z_{q0>0}',
info='flags for q0 below zero',
)
self.q0lt0 = ConstService('Indicator(q0< 0)', tex_name='z_{q0<0}',
info='flags for q0 below zero',
)
self.Ipcmd0 = ConstService('p0 / v', info='initial Ipcmd',
tex_name='I_{pcmd0}',
)
self.Iqcmd0 = ConstService('-q0 / v', info='initial Iqcmd',
tex_name='I_{qcmd0}',
)
self.Ipcmd = Algeb(tex_name='I_{pcmd}',
info='current component for active power',
e_str='Ipcmd0 - Ipcmd', v_str='Ipcmd0')
self.Iqcmd = Algeb(tex_name='I_{qcmd}',
info='current component for reactive power',
e_str='Iqcmd0 - Iqcmd', v_str='Iqcmd0')
# reactive power management
# rate limiting logic (for fault recovery, although it does not detect any recovery)
# - activate upper limit when q0 > 0 (self.q0gt0)
# - activate lower limit when q0 < 0 (self.q0lt0)
self.S1 = LagAntiWindupRate(u=self.Iqcmd,
T=self.Tg, K=-1,
lower=-9999, upper=9999, no_lower=True, no_upper=True,
rate_lower=self.Iqrmin, rate_upper=self.Iqrmax,
rate_lower_cond=self.q0lt0, rate_upper_cond=self.q0gt0,
tex_name='S_1',
info='Iqcmd delay',
) # output `S1_y` == `Iq`
# piece-wise gain for low voltage active current mgnt.
self.kLVG = ConstService(v_str='1 / (Lvpnt1 - Lvpnt0)',
tex_name='k_{LVG}',
)
self.LVG = Piecewise(u=self.v, points=('Lvpnt0', 'Lvpnt1'),
funs=('0', '(v - Lvpnt0) * kLVG', '1'),
info='Ip gain during low voltage',
tex_name='L_{VG}',
)
# piece-wise gain for LVPL
self.kLVPL = ConstService(v_str='Lvplsw * Lvpl1 / (Brkpt - Zerox)',
tex_name='k_{LVPL}',
)
self.S2 = Lag(u=self.v, T=self.Tfltr, K=1.0,
info='Voltage filter with no anti-windup',
tex_name='S_2',
)
self.LVPL = Piecewise(u=self.S2_y,
points=('Zerox', 'Brkpt'),
funs=('0 + 9999*(1-Lvplsw)',
'(S2_y - Zerox) * kLVPL + 9999 * (1-Lvplsw)',
'9999'),
info='Low voltage Ipcmd upper limit',
tex_name='L_{VPL}',
)
self.S0 = LagAntiWindupRate(u=self.Ipcmd, T=self.Tg, K=1,
upper=self.LVPL_y, rate_upper=self.Rrpwr,
lower=-9999, rate_lower=-9999,
no_lower=True, rate_no_lower=True,
tex_name='S_0',
) # `S0_y` is the output `Ip` in the block diagram
self.Ipout = Algeb(e_str='S0_y * LVG_y -Ipout',
v_str='Ipcmd * LVG_y',
info='Output Ip current',
tex_name='I_{pout}',
)
# high voltage part
self.HVG = GainLimiter(u='v - Volim', K=self.Khv, info='High voltage gain block',
lower=0, upper=999, no_upper=True,
tex_name='H_{VG}'
)
self.HVG.lim.no_warn = True
self.Iqout = GainLimiter(u='S1_y- HVG_y', K=1, lower=self.Iolim, upper=9999,
no_upper=True, info='Iq output block',
tex_name='I^{qout}',
) # `Iqout_y` is the final Iq output
self.Pe = Algeb(tex_name='P_e', info='Active power output',
v_str='p0', e_str='Ipout * v - Pe')
self.Qe = Algeb(tex_name='Q_e', info='Reactive power output',
v_str='q0', e_str='Iqout_y * v - Qe')
def __init__(self, system, config):
PSSBase.__init__(self, system, config)
# ALL THE FOLLOWING IS FOR INPUT 2
# retrieve indices of bus and bus freq
self.buss2 = DataSelect(self.busr2,
self.bus,
info='selected bus (bus or busr)')
self.busfreq2 = DeviceFinder(self.busf2,
link=self.buss2,
idx_name='bus',
default_model='BusFreq',
info='bus frequency idx')
# from Bus
self.v2 = ExtAlgeb(
model='Bus',
src='v',
indexer=self.buss2,
tex_name=r'V',
info='Bus (or busr2, if given) terminal voltage',
)
# from BusFreq 2
self.f2 = ExtAlgeb(model='FreqMeasurement',
src='f',
indexer=self.busfreq2,
export=False,
info='Bus frequency 2')
# Config
self.config.add(OrderedDict([('freq_model', 'BusFreq')]))
self.config.add_extra(
'_help', {'freq_model': 'default freq. measurement model'})
self.config.add_extra('_alt', {'freq_model': ('BusFreq', )})
self.busf.model = self.config.freq_model
self.busf2.model = self.config.freq_model
# input signal switch
self.dv = Derivative(self.v)
self.dv2 = Derivative(self.v2)
self.SnSb = ExtService(
model='SynGen',
src='M',
indexer=self.syn,
attr='pu_coeff',
info='Machine base to sys base factor for power',
tex_name='(Sb/Sn)')
self.SW = Switcher(
u=self.MODE,
options=[0, 1, 2, 3, 4, 5, 6, np.nan],
)
self.SW2 = Switcher(
u=self.MODE2,
options=[0, 1, 2, 3, 4, 5, 6, np.nan],
)
# Input signals
self.sig = Algeb(
tex_name='S_{ig}',
info='Input signal',
)
self.sig.v_str = 'SW_s1*(omega-1) + SW_s2*0 + SW_s3*(tm0/SnSb) + ' \
'SW_s4*(tm-tm0) + SW_s5*v + SW_s6*0'
self.sig.e_str = 'SW_s1*(omega-1) + SW_s2*(f-1) + SW_s3*(te/SnSb) + ' \
'SW_s4*(tm-tm0) + SW_s5*v + SW_s6*dv_v - sig'
self.sig2 = Algeb(
tex_name='S_{ig2}',
info='Input signal 2',
)
self.sig2.v_str = 'SW2_s1*(omega-1) + SW2_s2*0 + SW2_s3*(tm0/SnSb) + ' \
'SW2_s4*(tm-tm0) + SW2_s5*v2 + SW2_s6*0'
self.sig2.e_str = 'SW2_s1*(omega-1) + SW2_s2*(f2-1) + SW2_s3*(te/SnSb) + ' \
'SW2_s4*(tm-tm0) + SW2_s5*v2 + SW2_s6*dv2_v - sig2'
self.L1 = Lag(
u=self.sig,
K=self.K1,
T=self.T1,
info='Transducer 1',
)
self.L2 = Lag(
u=self.sig2,
K=self.K2,
T=self.T2,
info='Transducer 2',
)
self.IN = Algeb(
tex_name='I_N',
info='Sum of inputs',
v_str='L1_y + L2_y',
e_str='L1_y + L2_y - IN',
)
self.WO = WashoutOrLag(
u=self.IN,
K=self.T3,
T=self.T4,
)
self.LL1 = LeadLag(
u=self.WO_y,
T1=self.T5,
T2=self.T6,
zero_out=True,
)
self.LL2 = LeadLag(
u=self.LL1_y,
T1=self.T7,
T2=self.T8,
zero_out=True,
)
self.LL3 = LeadLag(
u=self.LL2_y,
T1=self.T9,
T2=self.T10,
zero_out=True,
)
self.VSS = GainLimiter(u=self.LL3_y,
K=1,
R=1,
lower=self.LSMIN,
upper=self.LSMAX)
self.VOU = ConstService(v_str='VCUr + v0')
self.VOL = ConstService(v_str='VCLr + v0')
self.OLIM = Limiter(u=self.v,
lower=self.VOL,
upper=self.VOU,
info='output limiter')
self.vsout.e_str = 'OLIM_zi * VSS_y - vsout'