# Inputs

## 1. Introduction

The total number of user inputs is equal to 9.

Among these inputs, 5 are standard inputs and 4 are advanced inputs.

## 2. Standard inputs

## 2.1 Modes of computation

There are 2 modes of computation.

The “ Fast ” computation mode is the default one. It corresponds to a hybrid model which is perfectly suited for the pre-design step. Indeed, all the computations in the back end are based on AC finite element computations associated to symmetrical component transformation. It evaluates the electromagnetic quantities with the best compromise between accuracy and computation time to explore the space of solutions quickly and easily.

The computation of power balance for IMSQ in “accurate mode” is not well balanced.

In the test “working point – sine wave – motor – U, f, N”, while computing the power balance with the accurate mode (i.e., with the transient application) the results are not well balanced. Indeed, the difference between the electrical power and the power on the shaft is not exactly equal to the total amount of losses.

## 2.2 Line-Line voltage, rms

The rms value of the Line-Line voltage supplying the machine: “ Line-Line voltage, rms” ( Line-Line voltage, rms value ) must be provided.

## 2.3 Power supply frequency

The value of the power supply frequency of the machine: “ Power supply frequency ” ( Power supply frequency ) must be provided.

The power supply frequency is the electrical frequency applied at the terminals of the machine.

## 2.4 Definition mode

There are 2 common ways to define the working point. It can be defined by indicating the slip “ Slip ” or by defining the operating speed of the machine “ Speed ”.

## 2.5 AC losses analysis

The “ AC losses analysis ” (AC losses analysis required only with “Accurate” computation mode) allows to compute or not AC losses in stator winding. There are three options available:

None : AC losses are not computed. However, as the computation mode is “Accurate”, a transient computation is performed but without representing the solid conductors (wires) inside the slots. Phases are modeled with coil regions. Thanks to that, the mesh density is lower which results in a lower number of nodes and a lower computation time.

FE-One phase : AC losses are computed but only one phase is modeled with solid conductors (wires) inside the slots. The other two phases are modeled with coil regions. AC losses in winding are computed with a lower computation time than if all the phases were modeled with solid conductors. However, this can have a little impact on the accuracy of results because we have supposed that the magnetic field is not impacted by the modeling assumption.

FE-All phase : AC losses are computed, and all phases are modeled with solid conductors (wires) inside the slots. This computation method gives the best results in terms of accuracy, but with a higher computation time.

FE-Hybrid: AC losses in winding are computed without representing the wires (strands, solid conductors) inside the slots.

Since the location of each wire is accurately defined in the winding environment, sensors evaluate the evolution of the flux density close each wire. Then, a postprocessing based on analytical approaches computes the resulting current density inside the conductors and the corresponding Joule losses.

The wire topology can be “Circular” or “Rectangular”.

There can be one or several wires in parallel (in hand) in a conductor (per turn).

With FE-Hybrid option the recommended “Number of computed electrical periods” is equal to “1/2” whereas 2 computed electrical periods are needed for “FE-One phase” and for “FE-All phase” options.

Indeed, when solid conductors are represented in the Finite Element model (like with FE-One phase and FE-All phase options), there are transient phenomena to consider which leads to increase the “Number of computed electrical periods” to reach the steady state.

With the “FE-Hybrid option”, the transient phenomena are handled by the analytical model, so, it is not necessary to increase the “Number of computed electrical periods” compared to a study with “None” options (without AC losses computation).

## 2.6 Slip

When the choice of definition mode is “ Slip” , the value of machine’s slip “ Slip” ( Slip ) must be provided.

_{s}= Synchronous speed) and the rotor operating speed (N).

Unit can be % or PU.

## 2.7 Speed

When the choice of definition mode is “ Speed” , the value of operating speed “ Speed” ( Speed ) must be provided.

## 3. Advanced inputs

## 3.1 Number of computed electrical periods

The user input “ No. computed elec. periods ” (Number of computed electrical periods only required with “Accurate” computation mode) influences the accuracy of results. Indeed, the computation often leads to have transient current evolution which requiring more than an electrical period of simulation to reach the steady state over an electrical period.

The default value is equal to 2. The minimum allowed value is 0,5. The default value provides a good compromise between the accuracy of results and computation time.

## 3.2 Number of points per electrical period

The user input “ No. points / electrical period ” (Number of points per electrical period required only with “Accurate” computation mode) influences the accuracy of results (computation of the peak-peak ripple torque, iron losses, AC losses…) and the computation time.

The default value is equal to 40. The minimum recommended value is 20. The default value provides a good balance between accuracy of results and the computation time.

## 3.3 Skew model – No. of layers

When the rotor bars or the stator slots are skewed, the number of layers used in Flux Skew environment to model the machine can be modified: “ Skew model - No. of layers” ( Number of layers for modelling the skewing in Flux Skew environment ).

## 3.4 Rotor initial position

The initial position of the rotor considered for computation can be set by the user in the field « Rotor initial position » ( Rotor initial position ).

The default value is equal to 0. The range of possible values is [-360, 360].

The rotor initial position has an impact only on the induction curve in the air gap.

## 3.5 Mesh order

To get the results, the original computation is performed by using a Finite Element Modeling . The geometry of the machine is automatically meshed.

Two levels of meshing can be considered for this finite element calculation: first order and second order.

This parameter influences the accuracy of results and the computation time.

By default, second order mesh is used.

## 3.6 Airgap mesh coefficient

The advanced user input “ Airgap mesh coefficient ” is a coefficient which adjusts the size of mesh elements inside the airgap. When the value of “ Airgap mesh coefficient ” decreases, the mesh elements get smaller, leading a higher mesh density inside the airgap, increasing the computation accuracy.

The imposed Mesh Point (size of mesh elements touching the points of the geometry),
inside the Flux ^{®} software, is described as:

MeshPoint = (airgap) x (airgap mesh coefficient)

Airgap mesh coefficient is set to 1.5 by default.

The variation range of values for this parameter is [0.05; 2].

0.05 gives a very high mesh density and 2 gives a very coarse mesh density.

## 3.7 Convergence criteria on temperature

The advanced user input “ Converg. Criteria on temperature ” (Convergence criteria on temperature ) is a percentage driving the convergence of the computation.

This advanced user input is available when the iterative thermal solving mode is selected in the thermal settings.

The iterative process (loop between electromagnetic and thermal computations) must run until the convergence criteria has been reached leading to the electromagnetic-thermal steady state. The convergence process is completed when the variation of temperature between two iterations gets lower than the ratio “ Converg. Criteria on temperature ” set in input.

Convergence criteria on temperature is set to 1.0 % by default.

The variation range of values for this percentage is ]0;10].

A percentage close to zero gives more accurate results, but a longer computation time. A high percentage can make the convergence shorter but decreases the accuracy of the results. The default value of 1.0% gives a good balance between accuracy and computation time on most of the computations, but a smaller value can also be used to increase the computation accuracy on some working points.

Two conditions are required to make the “Convergence criteria” available:

- The type of machine is Induction Machines with Squirrel cage with Inner rotor (Thermal computations are available only for inner rotor machine)
- One of the two following thermal solving modes is selected: One iteration or iterative solving mode.