Please locate this file named
manage_backups.php
in folder:
wp_content/plugins/backupwordpress/bkpwp-classes
Then locate on, around line 706, a line of code which is similar to:
if (!fwrite($handle, $sql)) {
and replace it with
if (!fwrite($handle, utf8_encode($sql))) {
That's all folks.
This fixes the SQL Data trunked problem, by forcing backupwordpress to write down UTF-8 data. With this patch, strange characters in posts do not cause problems to your backups anymore.