Powershell .Net Form auto Scrolldown

function GenerateForm {

#region Import the Assemblies
[reflection.assembly]::loadwithpartialname("System.Windows.Forms") | Out-Null  
[reflection.assembly]::loadwithpartialname("System.Drawing") | Out-Null  
#endregion

$form1 = New-Object System.Windows.Forms.Form
$btnAddLine = New-Object System.Windows.Forms.Button
$txt2 = New-Object System.Windows.Forms.TextBox
$txt1 = New-Object System.Windows.Forms.TextBox
$InitialFormWindowState = New-Object System.Windows.Forms.FormWindowState

$handler_btnAddLine_Click= 
{
    # Zeile zur Multiline.Textbox hinzufügen
    $txt1.AppendText($txt2.Text  + "`r`n")  
}

$handler_txt1_TextChanged= 
{
    # Cursor bei Änderung in der Textbox an Ende setzen 
    $txt1.SelectionStart = $txt1.Text.Length
    # scrolle zur Cursorposition in der Textbox die sich ja jetzt am Ende befindet
    $txt1.ScrollToCaret()
}
$OnLoadForm_StateCorrection=
{#Correct the initial state of the form to prevent the .Net maximized form issue
	$form1.WindowState = $InitialFormWindowState
}

#----------------------------------------------
#region Generated Form Code
$System_Drawing_Size = New-Object System.Drawing.Size
$System_Drawing_Size.Height = 221
$System_Drawing_Size.Width = 250
$form1.ClientSize = $System_Drawing_Size
$form1.DataBindings.DefaultDataSourceUpdateMode = 0
$form1.Name = "form1"  
$form1.Text = "Scrolling Textbox"  
$btnAddLine.Anchor = 10

$btnAddLine.DataBindings.DefaultDataSourceUpdateMode = 0

$System_Drawing_Point = New-Object System.Drawing.Point
$System_Drawing_Point.X = 183
$System_Drawing_Point.Y = 178
$btnAddLine.Location = $System_Drawing_Point
$btnAddLine.Name = "btnAddLine"  
$System_Drawing_Size = New-Object System.Drawing.Size
$System_Drawing_Size.Height = 23
$System_Drawing_Size.Width = 55
$btnAddLine.Size = $System_Drawing_Size
$btnAddLine.TabIndex = 1
$btnAddLine.Text = "Add line"  
$btnAddLine.UseVisualStyleBackColor = $True
$btnAddLine.add_Click($handler_btnAddLine_Click)
$form1.Controls.Add($btnAddLine)

$txt2.Anchor = 14
$txt2.DataBindings.DefaultDataSourceUpdateMode = 0
$System_Drawing_Point = New-Object System.Drawing.Point
$System_Drawing_Point.X = 12
$System_Drawing_Point.Y = 180
$txt2.Location = $System_Drawing_Point
$txt2.Name = "txt2"  
$System_Drawing_Size = New-Object System.Drawing.Size
$System_Drawing_Size.Height = 20
$System_Drawing_Size.Width = 165
$txt2.Size = $System_Drawing_Size
$txt2.TabIndex = 0
$form1.Controls.Add($txt2)

$txt1.Anchor = 15
$txt1.DataBindings.DefaultDataSourceUpdateMode = 0
$System_Drawing_Point = New-Object System.Drawing.Point
$System_Drawing_Point.X = 12
$System_Drawing_Point.Y = 12
$txt1.Location = $System_Drawing_Point
$txt1.Multiline = $True
$txt1.Name = "txt1"  
$txt1.ScrollBars = 2
$System_Drawing_Size = New-Object System.Drawing.Size
$System_Drawing_Size.Height = 151
$System_Drawing_Size.Width = 226
$txt1.Size = $System_Drawing_Size
$txt1.TabIndex = 2
$txt1.ReadOnly = $true
$txt1.add_TextChanged($handler_txt1_TextChanged)
$form1.Controls.Add($txt1)

#Save the initial state of the form
$InitialFormWindowState = $form1.WindowState
#Init the OnLoad event to correct the initial state of the form
$form1.add_Load($OnLoadForm_StateCorrection)
#Show the Form
$form1.ShowDialog()| Out-Null

} #End Function

GenerateForm