Lower limit for limit block “Limit 1” (fuel limit). -0.1 Upper limit for limit block “Limit 1” (fuel limit). 1.5 Tc Combustor time (s). 0.01 W Speed governor constant. 25 X Speed governor constant. 0 Y Speed governor constant. 0.05 Z Speed governor constant. 1 τFS Fuel system time constant (s). 0.4 τCP Compressor discharge volume time constant (s). 0.2 Table .2: Parameters for Notional Twin-Shaft Gas Turbine Model Parameter Description Default Value Source a positioner constant. 1 b Valve positioner constant. 0.05 c Valve positioner constant. 1 kflma No-load fuel parameter. 0.2 kflmb No-load fuel parameter (1- kflma). 0.8 kEFR1 Engine speed request function slope. 0.25 kEFR2 Engine speed request function intercept. 0.75 Acceleration limit (pu/s). 0.01 ki-α Acceleration control integral gain. 100 Lower limit for limit block “Limit 1” (fuel limit). -0.1 Upper limit for limit block “Limit 1” (fuel limit). 1.5 Tc Combustor delay time (s). 0.01 W Speed governor constant. 25 WE Engine speed governor constant. 30 X Speed governor constant. 0 XE Engine speed governor constant. 1 Y Speed governor constant. 0.01 YE Engine speed governor constant. 1 Z governor constant. 1 ZE Engine speed governor constant. 0 τIg Time constant for engine shaft dynamics (s). 8 τFS Fuel system time constant (s). 0.4
τCP Compressor discharge volume time constant (s). 0.2 Table .3: Parameters for Notional Round Rotor Synchronous Machine Parameter Description Default Value Source Sr Rated apparent power (MVA). 47 Vr Rated voltage (line-line, RMS) (kV). 4.16 fr Rated frequency (Hz). 240 Rs Stator resistance (pu). 2.0e-3 Ll Stator leakage reactance (pu) 0.15 Lmd D-axis unsaturated magnetizing inductance (pu) 1.5 Lmq Q-axis unsaturated magnetizing inductance (pu) 1.5 Rfd Field resistance (pu) 1.0e-3 Llfd Field leakage inductance (pu) 0.09 Rkd D-axis damper resistance (pu) 0.01 Llkd D-axis damper leakage inductance (pu) 0.045 Rkq1 Q-axis damper resistance (pu) 0.01 Llkq1 Q-axis damper leakage inductance (pu) 0.045 Rkq2 Q-axis damper resistance (2nd damper winding) (pu) 0.01 Llkq2 Q-axis damper leakage inductance (2nd damper winding) (pu) 0.045 H Inertia constant (MW*s/MVA) 6 F Friction factor (pu). 0 p Pole pairs 4 Vsat(Ifd) Saturation curve. See Fig. 9.1.1 Fig. .: Default Saturation Curve for Notional Round Rotor Synchronous Machine. .4: Parameters for Simplified IEEE Type AC8B Exciter Parameter Description Default Value Source kA Voltage regulator gain. 1 kDR PID controller derivative gain. 0 kIR PID controller integral gain. 0.08 kE 1 kEF1 Saturation function coefficient. 1.0119
MVDC Specific Parameters Table .7: MTG Parameters for Simscape Notional MVDC System Parameter Description Value Units Sb Apparent Power 47 MVA rpm Rated Rotor Speed 3600 rpm fb Rated Electrical Frequency 240 Hz H Inertia Constant 6 kW.s/kVA Poles Number of Poles 8 n/a rs Stator Winding Resistance 2.0e-3 pu Lls Stator Leakage Inductance 0.15 pu Lmq q-axis Magnetizing Inductance 1.5 pu Lmd d-axis magnetizing Inductance 1.5 pu rkq q-Damper Winding Resistance 0.01 pu Llkq q-Damper Winding Leakage Inductance 0.045 pu rkd d-Damper Winding Resistance 0.045 pu Llkd d-Damper Winding Leakage Inductance 0.025 pu rfd Field Winding Resistance 1e-3 pu Llfd Field Winding Leakage Inductance 0.09 pu sysdroop Proportional Power Sharing factor 5 n/a kp Exciter Proportional Gain 10 n/a ki Exciter Integral Gain 10 n/a kd Exciter Derivative Gain 0.2 n/a Vrmax Voltage Regulator Upper Limit 500 pu Voltage Regulator Lower Limit 0 pu Table .8: MTG Prime Mover Module Parameters for Simscape Notional MVDC System Parameter Description
Auxiliary Generator Parameters MVDC Specific Parameters Table .1: ATG Parameters for Simscape Notional MVDC System Parameter Description Value Units Sb Rated Apparent Power 5 MVA rpm Rated Rotor Speed rpm fb Rated Electrical Frequency 240 Hz H Inertia Constant 10 kW.s/kVA Poles Number of Poles 2 n/a rs Stator Winding Resistance 5.0e-3 pu Lls Stator Leakage Inductance 0.1 pu Lmq q-axis Magnetizing Inductance 1 pu Lmd d-axis magnetizing Inductance 1 pu rkq q-Damper Winding Resistance 0.01 pu Llkq q-Damper Winding Leakage Inductance 0.045 pu rkd d-Damper Winding Resistance 0.045 pu Llkd d-Damper Winding Leakage Inductance 0.025 pu rfd Winding Resistance 1e-3 pu Llfd Field Winding Leakage Inductance 0.05 pu sysdroop Proportional Power Sharing factor 5 n/a kp Exciter Proportional Gain 10 n/a ki Exciter Integral Gain 10 n/a kd Exciter Derivative Gain 0.2 n/a Vrmax Voltage Regulator Limit 5 pu Vrmax Voltage Regulator Lower Limit 0 pu
.7: Parameters for Rectifier of Auxiliary Generator Module of Baseline MVDC System Parameter Description Source Cd DC side filter capacitance (F). 0.111e-3 Ls AC side series inductance (H). 1.1e-3 AC/DC Rectifiers Table .1: Parameters for Notional Diode Rectifier Model Parameter Description Default Value Source Cd DC side filter capacitance (F). 1e-3 Csnub Diode snubber capacitance (F). 1e-5 Ls AC side series inductance (H). 1.24e-4 Ld Diode on-state inductance (H). 0 Rd Diode on-state resistance (Ω). 1e-5 Rs AC side series resistance (Ω). 7.5e-3 Rsnub Diode snubber resistance (Ω). 100 MVAC Specific Parameters Table .2: Parameters for Uncontrolled Diode Rectifier Models of MVAC System Parameters Values Snubber capacitance, Cs 1e-7 F Snubber resistance, Rs Ohm On-state resistance, Rd 0.001 Ohm Forward voltage, Vf V DC/DC Converter Parameters .1: Parameters for Isolated DC-DC converter Parameter Description Default Value Source High-voltage side circuit LIF Input filter inductance (H) 25e-6 RHV1 Resistance towards ground (ohm) 5000
RHVC Series resistance (ohm) 0.001 Rch Charging resistor (ohm) 10 CHVC Capacitor (F) 5e-3 LHV Inductance (uH) 400e-6 Transformer VH high-side voltage (V) 5000 VL low-side voltage (V) 1050 f frequency (Hz) 2500 S Nominal (VA) 5e6 R1 Primary side winding resistance (pu) 0 L1 Primary side leakage reactance (pu) 0 R2 Secondary side winding resistance (pu) 0 L2 Secondary side leakage reactance (pu) 0 Rm Magnetization resistance (pu) 5000 Lm Magnetization reactance (pu) 5000 Low-voltage side circuit RCC Clamping capacitor series resistance (ohm) 1e-4 CCC Clamping capacitor (mF) 4.86 LCP Inductance low-voltage side (H) 1e-3 RLV1 Resistance towards ground (ohm) 500 RLVC Series resistance of capacitor (ohm) 1e-4 CLVC Low-voltage capacitor (F) 0.0128 RLV Resistance low-voltage side (ohm) 1e-3 Switch parameters RON resistance (ohm) 10e-6 RS snubber resistance (ohm) 500 CS snubber capacitance (F) 250e-9 f switching frequency (Hz) 500 Table .2: Controller Parameters for Isolated DC-DC converter Parameter Description Default Value Source Buck mode PID-controller with anti-windup Tfbu filter time constant (s) 1e-3 kP proportional gain 0.08 kI integral gain 1 ISi 0.02 kD derivative gain 0 N derivative filter factor 50 max maximum control signal 0.49 min minimum control signal 0.01
scaleE Scaling factor on error signal 1e-2 TfbuIC 1e-3 actDamp -0. 2 droop Current factor 1e-3 Converter enable scheme VthOff p.u. voltage level difference from nominal 0.2 p.u. voltage level difference from nominal 0.1 Tpu Pick-up time (s) to enable or disable the controller based on under/over-voltage conditions on the MVDC supply bus. 0.01 Discrete filter Voltage 1st-order filter with time constant 10 ms Propulsion System Parameters .1: Parameters for Notional Permanent Magnet Machine Parameter Description Default Source Rs Stator resistance (Ω). 0.005 Ld D-axis stator inductance (H). 0.8e-3 Lq Q-axis stator inductance (H). 0.8e-3 λ Flux linkage established by magnets (V∙s). 16.58 J Moment of inertia (kg∙m2) 1.6e3 F Friction (N∙m∙s) 0.0005 p Pole pairs. 12 Table .2: Parameters for Model Parameter Description Default Value Source Cs Snubber capacitance (F). 1.0e-6 Ron IGBT on-state resistance (Ω). 1.0e-3 Rs Snubber resistance (Ω). 1000 Tf Fall time for the IGBT (s). 1.0e-6 Tt Tail time for the IGBT (s). 2.0e-6 Vf IGBT forward voltage drop (V). 0.8 Vfd Diode forward voltage drop (V). 0.8
Fdrag(Vship) Hydrodynamic resistance. See Fig. 9.5.1 Fig. .: Hydrodynamic Resistance for Notional Destroyer Model MVDC Specific Parameters Table .7: Propulsion Module Parameters for Simscape Notional MVDC System Parameter Description Value Units Pbase Rated Real Power 36.5 MW ωbase Rated Mechanical Speed 12.5664 rad/s J Moment of Inertia 1.6e3 kg/m2 Poles Number of Poles 24 n/a rs Stator Winding Resistance 5 mΩ Lmq q-axis Magnetizing Inductance 0.8 H Lmd d-axis Magnetizing Inductance 0.8 H Λ Air Gap Flux 16.58 V.s Ki Voltage Regulator Integral Gain 4.8e5 n/a Kp Voltage Regulator Proportional Gain 7.92e5 n/a Ldc DC Link Inductance 3.9 mH Cdc DC Link Capacitance 5 mF Lac AC Side Inductance 0.39 mH Table .8: Parameters for Propulsion Modules of Baseline MVDC System Parameter Description Value Source Lf Filter inductance (H). 10.0e-6 Rf Filter resistance (Ω). 0.001 Table .9: Parameters for Permanent Magnet Machine for Propulsion Module of Baseline MVDC System Parameter Description Value Source J Moment of inertia (kg∙m2) (Starboard) 4.3687e5 J Moment of inertia (kg∙m2) (Port) 4.5881e5 Table .10: Parameters for Motor Drives for Propulsion Module of Baseline MVDC System Parameter Description Source
Z15 AC Z3L3 1900 550 120/208 VAC loads Same as Z3 Z16 AC Z3L4 750 375 Non-vital, type 1 AC loads Same as Z4 Z17 AC Z3L5 0 4 Non-vital, 120/208 AC loads Same as Z5 790 3100 1750 399 3890 2149 Z18 DC Z4L1 60 0 DC loads Same as Z2 Z19 AC Z4L2 480 200 Type 1 AC loads Same as Z3 Z20 AC Z4L3 1750 415 120/208 VAC Same as Z4 Z21 AC Z4L4 675 220 Non-vital, 120/208 AC loads Same as Z5 Z22 AC Z4L5 0 4 Non-vital, 120/208 AC loads Same as Z6 735 2230 224 615 2965 839 Z23 DC Z5L1 3750 2850 HP Radar DC const. impedance load 4701 8175 3409 2646 Total Load Power 12872 (kW) 6055 (kW) Loads initially connected to upper bus Loads initially connected to lower bus MVDC Specific Parameters .2: Pickup Time Values for Isolated DC/DC Converters Converter Time (s) Zone 1 Port 0.01 Zone 1 Starboard 0.045 Zone 2 Port 0.02 Zone 2 Starboard 0.035 Zone 3 Port 0.03 Zone 3 Starboard 0.025 Zone 4 Port 0.04 Zone 4 Starboard 0.015 Zone 5 Port 0.05 Zone 5 Starboard 0.055 .3: Parameters for simplified zonal load representation (Zone 1S) Parameter Description Default Value Source P Power demand (taken from zonal load data) (W) [2790e3 1382e3] Pr power ripple, 10% of power demand (W) [0 0] fr ripple frequency (Hz) [1.0e3 1.0e3] Ti current injection time constant (s) 1/(2π10)
MVAC Specific Parameters Table .2: Pulse Load Parameters for Simscape Notional MVAC System Parameter Description Value Method VAC,HV AC Type GPL High Voltage Input 4.16 kV Direct to Port Side Bus VDC,HV DC Type GPL High Voltage Input 36.55 kV Step Up Transformer and ZAR VAC,LV AC Type GPL Low Voltage Input 112.5 V Transformer VDC,LV DC Type GPL Low Voltage 112.5 V Transfomer MVDC Specific Parameters Table .3: Pulse Load Parameters for Simscape Notional MVDC System Parameter Description Value Units Pulsereq Magnitude 3 kA Pulset Duration 3.33 S Pulseslew1 Positive Slew Rate 1 kA/s Pulseslew2 Negative Slew Rate 10 kA/s Table .4: Parameters for pulse load Parameter Description Default Source tpulse pulse timing (s) [0 1 1.01 3.5 3.51 7 7.01 9.25 9.26 10] Ppulse pulse power (kW) [0 0 400 400 1300 1300 25000 25000 0 0]*1000 Ti current injection time constant (s) 1/(2π700) Rp parallel resistance (ohm) 5000 eta interface efficiency (%) 97 Vmin minimum voltage (V) 4000 Transformer Parameters Table .1: Parameters for Three-phase, Two Winding Transformer Parameter Description Default Source C1 Configuration of side 1 windings ({Y, Delta}) Delta C2 Configuration of side 2 windings ({Y, Delta})