Toroidal Sim Variables

Overview

The Toroidal Field Generator simulation is a component of the Fusion Reactor simulation. It simulates the main magentic containment field generators of the fusion reactor, of which there are eight.

The Toroidal Field Generator simulation has five functions, detailed below.

Inputs

There are three initial inputs to the Toroidal Field Generator simulation:

Toroidal Generator Power Input (TGPI) the power input to the field generators. This is a user-controlled variable.

Tertiary Cooling System Power Input (TSCPI) the power input to the tertiary cooling system.

Environmental Heat Load (EHL) The thermal load that escapes the reaction chamber (this is an output of the Reaction Isolation Shield (RIS) system).

There are two subsequent inputs to the simulation from the Poloidal Field Generator simulation:

Active Field Plane (AFPF): This is an average of the AFPF values output by the four poloidal field generators.

Containment Field Pitch (CFP): This is an average of the CFP values output by the four polidal field generators.

Outputs

The Toroidal Field Generator simulation has two initial outputs which are sent to the Poloidal Field Generator simulation:

Applied Toroidal Force (ATF) which is passed to the Poloidal Generator (PGEN) component

Toroidal Field Generator Output (TFGO) which is passed to the MHD component

Values from the poloidal simulation are passed back to the toroidal simulation to generate an additional subsequent output:

Effective Reaction Volume (ERV): is passed to the Plasma Simulation.

Toroidal Field Generator Output (TFGO)

Toroidal Field Generator Output (TFGO) simulates the toroidal field generators.

COMPONENT  VAR CODE NAME DESCRIPTION EQUATION TYPE NOM UPPER LOWER MAX MIN
GLOBAL INVPI Inverse PI 1 divided by Pi - value used in functions   S 0.818309886 0 0 0 0
GLOBAL HALF Half Constant value: 0.5   S 0.5 0 0 0 0
GLOBAL TWO Two Constant value   S 2 0 0 0 0
GLOBAL ZERO Zero Constant value   S 0        
TGENx TGPIVAR TGPI Variance from Nominal   TGPI - TGPI(NOM) P          
TGENx TFGOfA TFGO Function Stage A Calculation A within TFGO output profile function TGENx(TEF) / 2 P          
TGENx TFGOfB TFGO Function Stage B Calculation B within TFGO output profile function TGPIVAR / TFGOfA P          
TGENx TFGOfC TFGO Function Stage C Calculation C within TFGO output profile function ATAN(TFGOfB) P          
TGENx TFGOfD TFGO Function Stage D Calculation D TFGO output profile function GLOBAL(INVPI) * TFGOfC p          
TGENx UNMODTFGO Unmodified TFGO Final calculation within TFGO output profile function (gives unmodified TFGO) GLOBAL(HALF) + TFGOfD P          
TGENx TFGOfG TFGO Function Stage G Calculation G TFGO output profile function UNMODTFGO * TFGOMULT P          
TGENx TGPI Toroidal Generator Power Input Power input level selected by operator Input C 11        
TGENx TFGOMULT TFGO Multiplier Multiplier to ensure TFGO scales with rest of algorithm fucntions Constant S 100        
TGEN TFGOZERO TFGO Zero Modifier Calibrates zero output of function to zero TGPI Constant S 10        
TGENx MODTFGO Modfied TFGO Modified TFGO (but not yet zero calibrated) TFGOfG - TFGOZERO P 40        
TGENx TFGO TFGO Output Value Output value of TFGO function (corrected for negative output) If MODTFGO > GLOBAL(ZERO) {=MODTFGO} ELSE {=MODTFGO - TFGOZERO} P 40        

Temperature Efficiency Factor (TEF)

Temperature Efficiency Factor (TEF) is an input into TFGO and simulates the effect that temperature has on the efficiency of the field generators.

COMPONENT  VAR CODE NAME DESCRIPTION EQUATION TYPE NOM UPPER LOWER MAX MIN
TGEN MAXTEMP Maximum Operating Temperature The maximum temperature at which toridal generators will retail their superconducting characteristics Constant S 100        
TGENx TEFMOD TEF System profile modifier A modifier to ensure output is consistent with the rest of the system Constant S 10        
TGENx TEFRATIO TEF efficiency ratio Ratio between current operating temperature and generator efficiency Constant/system variable S 0.7        
TGENx TEFfA TEF Function Stage A   MAXTEMP - TCSx(OPTEMP) P          
TGENx TEFfB TEF Function Stage B   TEFfA / TEFMOD P          
TGENx TEF TEF Output Value Output value of TEF function TEFfB * TEFRATIO P 5.6        

Tertiary Coooling System (TCS)

Tertiary Cooling System (TCS) simulates the cooling system each toroidal generator is equipped with, designed to lower the operating temperatures of the field generators to improve their efficiency (technically this a separate simulation system but is currently bundled with the toroidal simulation as a function).

COMPONENT  VAR CODE NAME DESCRIPTION EQUATION TYPE NOM UPPER LOWER MAX MIN
TCSx TCSPI     Input C          
TCSx EHL Environmental heat load Heat load coming off the reactor chamber  System input P          
TCSx TCSEFF Tertiary generator efficiency factor System variable S          
TCSx TCSMOD System profile modifier A modifier to ensure output is consistent with the rest of the system Constant S          
TCSx TCSfA TCS Function Stage A   POWER(TCSPI,2) P          
TCSx TCSfB     TCSfA / TCSMOD P          
TCSx TCSfC     TCSEFF * TCSPI P          
TCSx TCSfD     TCSfC - TCSfB P          
TCSx OPTEMP Operating temperature of associated TGEN Output of TCS EHL-TCSfD P 20        

Applied Toroidal Force (ATF)

Aplied Toroidal Force (ATF) simulates the magnetic field created by the field generators.

COMPONENT  VAR CODE NAME DESCRIPTION EQUATION TYPE NOM UPPER LOWER MAX MIN
TGENx ATFSUB Sub Modifier Where the ATF is low relative to op temp, this determines when a smoothing modifier applies Constant S 3.3        
TGENx AFP Active Field Plane     S 2        
TGENx ATFfA ATF Function Stage A   TFGO / TGPI P          
TGENx UNMODATF  Applied Toroidal Force (unmodified) ATFFA * AFP P          
TGENx ATFfB ATF Function Stage B Determines if smoothing modifier should be applied UNMODATF / ATFSUB P          
TGENx ATF ATF Output Value   If ATFfB <= ATFSUB {=ATFfB} ELSE {=UNMODATF} P 7.5        

Effective Reaction Volume (ERV)

ERV simulates the area enclosed by the (poloidally modified) containment field.

COMPONENT  VAR CODE NAME DESCRIPTION EQUATION TYPE NOM UPPER LOWER MAX MIN
GLOBAL MAJRAD Major Radius   Constant S 3.5        
TGENx AVGAFPF Generator average AFPF Describes the AFPF averaged across all AFPF values output by the PGENs AVG(PGEN1(AFPF)...PGEN4(AFPF))            
TGENx AVGMINAFPF Generator average MINAFPF Describes the minimum AFPF averaged across all MINAFPF values output by the PGENs AVG(PGEN1(MINAFPF)...PGEN4(MINAFPF)) P          
TGENx BRVfA Base Reaction Volume function stage A   GLOBAL(TWO) * GLOBAL(PI) P          
TGENx BRVfB BRV stage B   BRVfA * MAJRAD P          
TGENx BRVfC BRV stage C   POWER(AVGMINAFPF,2) P          
TGENx BRVfD BRV Stage D   GLOBAL(PI) * BRVfC P          
TGENx BRVfE BRV Stage E   BRVfD*BRVfB P          
TGENx BRV Base Reaction Volume     BRVfE / GLOBAL(EIGHT) P          
TGENx ERVfA ERV function stage A   CFP - GLOBAL(ONE) P          
TGENx ERVfB ERV function stage B   ERVfA / GLOBAL(PI) P          
TGENx ERVfC ERV function stage C   BRV - ERVfB P          
TGENx ERV Effective reaction volume   ERVfC / GLOBAL(TWO) P