$mgr = $web.GetLimitedWebPartManager($yourPageUrl,
    [System.Web.UI.WebControls.WebParts.PersonalizationScope]::Shared)
$mgr.AddWebPart($yourWebPart, "YourZone", 0);

cls

asnp "*sh*"

$web=Get-SPweb -Identity "http://SP2013dev.com/sites/addwebpart/"

[xml]$webpartxml= Get-Content -Path "C:ManjuWPRequest.xml"

$SR = New-Object System.IO.StringReader($webpartxml.OuterXml)

$XTR = New-Object System.Xml.XmlTextReader($SR)

$err=$null

$WebPartZoneID = "Topzone"

$WebPartZoneIndex = 0

 try
   {

  $page=$web.GetFile("Pages/default.aspx");

  $bool=$page.CheckedOutBy

        if($bool)
        {
            Write-Host "Page is already Checkout to " $page.CheckedOutBy.UserLogin

            $page.UndoCheckOut()

            Write-Host "Page is Over ridded by " $web.CurrentUser.DisplayName + " to Add Webpart"
        }

    $page.CheckOut();

    $wmgr=$web.GetLimitedWebPartManager($page,    [System.Web.UI.WebControls.WebParts.PersonalizationScope]::Shared);

    $webpart=$wmgr.ImportWebPart($XTR,[ref]$err);

    $wmgr.AddWebPart($webpart,$WebPartZoneID,$WebPartZoneIndex);

    $page.CheckIn('dude');

    $page.Publish('Adding request Site Webpart')

    "Request Site WebPart SucessfullAdded" + (Get-Date -DisplayHint Date) | Out-File -Append "C:OutPutLog.txt"

     $SR.Close();
     $XTR.Close();
     $web.Dispose()

    }
    catch
    {
        $ErrorMessage = $_.Exception.Message

        "Request Site WebPart Failure" + $ErrorMessage  +  (Get-Date -DisplayHint Date) | Out-File -Append "C:ErrorLog.txt"
    }