Description
Compute an ideal common current from a supplied inductance-weighted flux-linkage balance.
Capacitors and inductors store energy under voltage and current conventions, respectively. An ideal endpoint energy difference, charge balance or flux-linkage balance does not determine the transient path or how energy is dissipated.
Compute an ideal common current from a supplied inductance-weighted flux-linkage balance.
When to use this tool
Use Inductor Series Initial Flux Balance when checking one ideal storage-state comparison or supplied balance.
How to use the tool and how it works
- Enter inductances, currents. Keep parallel arrays aligned. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read commonCurrent, totalFluxLinkage. Use the output convention below.
Require equally long nonempty inductances and currents with positive inductances. totalFluxLinkage = sum(L[i]*I[i]); commonCurrent = totalFluxLinkage/sum(L[i]).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| inductances | Inductances | Required. Array of finite number; maximum items 256. |
| currents | Currents | Required. Array of finite number; maximum items 256. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| commonCurrent | Ideal inductance-weighted current under the supplied flux-linkage balance. | Required. Finite number. |
| totalFluxLinkage | Total Flux Linkage | Required. Finite number. |
{
"input": {
"inductances": [
2,
3
],
"currents": [
4,
1
]
},
"output": {
"commonCurrent": 2.2,
"totalFluxLinkage": 11
}
}Limitations and assumptions
- Use consistent polarity references. This is an idealized flux-linkage balance, not an automatic solution of switching topology, coupling, transients or energy conservation.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a complete switching and loss model, with component limits, when analyzing practical connections or energy transfer.
References
Similar or alternative tools
- Parallel Capacitor Initial Charge Balance
charge = sum(C[i]*V[i]); voltage = charge/sum(C[i]).
- Inductor Flux Linkage Current Point
fluxLinkage = inductance*current; differentialInductance = inductance.