diff --git a/eeschema/sch_connection.cpp b/eeschema/sch_connection.cpp
index b6063b363a..4b3c187463 100644
--- a/eeschema/sch_connection.cpp
+++ b/eeschema/sch_connection.cpp
@@ -89,6 +89,8 @@ void SCH_CONNECTION::SetDriver( SCH_ITEM* aItem )
 {
     m_driver = aItem;
 
+    recacheName();
+
     for( const auto& member : m_members )
         member->SetDriver( aItem );
 }
@@ -98,6 +100,8 @@ void SCH_CONNECTION::SetSheet( SCH_SHEET_PATH aSheet )
 {
     m_sheet = aSheet;
 
+    recacheName();
+
     for( const auto& member : m_members )
         member->SetSheet( aSheet );
 }
@@ -132,9 +136,9 @@ void SCH_CONNECTION::ConfigureFromLabel( wxString aLabel )
             auto member            = std::make_shared<SCH_CONNECTION>( m_parent, m_sheet );
             member->m_type         = CONNECTION_TYPE::NET;
             member->m_prefix       = m_prefix;
-            member->m_name         = vector_member;
             member->m_local_name   = vector_member;
             member->m_vector_index = i++;
+            member->SetName( vector_member );
             m_members.push_back( member );
         }
     }
@@ -177,6 +181,8 @@ void SCH_CONNECTION::ConfigureFromLabel( wxString aLabel )
     {
         m_type = CONNECTION_TYPE::NET;
     }
+
+    recacheName();
 }
 
 
@@ -185,6 +191,8 @@ void SCH_CONNECTION::Reset()
     m_type = CONNECTION_TYPE::NONE;
     m_name.Empty();
     m_local_name.Empty();
+    m_cached_name.Empty();
+    m_cached_name_with_path.Empty();
     m_prefix.Empty();
     m_suffix .Empty();
     m_driver = nullptr;
@@ -218,6 +226,8 @@ void SCH_CONNECTION::Clone( SCH_CONNECTION& aOther )
     m_vector_prefix = aOther.VectorPrefix();
 
     // Note: subgraph code isn't cloned, it should remain with the original object
+
+    recacheName();
 }
 
 
@@ -250,44 +260,40 @@ bool SCH_CONNECTION::IsDriver() const
 }
 
 
-wxString SCH_CONNECTION::Name( bool aIgnoreSheet ) const
+const wxString& SCH_CONNECTION::Name( bool aIgnoreSheet ) const
 {
-    wxString ret = m_prefix + m_name + m_suffix;
+    wxASSERT( !m_cached_name.IsEmpty() );
+    return aIgnoreSheet ? m_cached_name : m_cached_name_with_path;
+}
 
-    if( m_name.IsEmpty() )
-        ret = "<NO NET>";
+
+void SCH_CONNECTION::recacheName()
+{
+    m_cached_name = m_name.IsEmpty() ? "<NO NET>" : m_prefix + m_name + m_suffix;
+
+    bool prepend_path = true;
 
     if( !Parent() || m_type == CONNECTION_TYPE::NONE )
-        return ret;
+        prepend_path = false;
 
-    if( !aIgnoreSheet )
+    if( m_driver )
     {
-        bool prepend_path = true;
-
-        if( m_driver )
+        switch( m_driver->Type() )
         {
-            switch( m_driver->Type() )
-            {
-            case SCH_PIN_T:
-                // Pins are either power connections or belong to a uniquely-annotated
-                // component, so they don't need a path if they are driving the subgraph
-                prepend_path = false;
-                break;
+        case SCH_GLOBAL_LABEL_T:
+        case SCH_PIN_T:
+            // Pins are either power connections or belong to a uniquely-annotated
+            // component, so they don't need a path if they are driving the subgraph
+            prepend_path = false;
+            break;
 
-            case SCH_GLOBAL_LABEL_T:
-                prepend_path = false;
-                break;
-
-            default:
-                break;
-            }
+        default:
+            break;
         }
-
-        if( prepend_path )
-            ret = m_sheet.PathHumanReadable() + ret;
     }
 
-    return ret;
+    m_cached_name_with_path =
+            prepend_path ? m_sheet.PathHumanReadable() + m_cached_name : m_cached_name;
 }
 
 
@@ -295,6 +301,8 @@ void SCH_CONNECTION::SetPrefix( const wxString& aPrefix )
 {
     m_prefix = aPrefix;
 
+    recacheName();
+
     for( const auto& m : Members() )
         m->SetPrefix( aPrefix );
 }
@@ -304,6 +312,8 @@ void SCH_CONNECTION::SetSuffix( const wxString& aSuffix )
 {
     m_suffix = aSuffix;
 
+    recacheName();
+
     for( const auto& m : Members() )
         m->SetSuffix( aSuffix );
 }
diff --git a/eeschema/sch_connection.h b/eeschema/sch_connection.h
index 7023aef49b..7558c490cc 100644
--- a/eeschema/sch_connection.h
+++ b/eeschema/sch_connection.h
@@ -145,9 +145,9 @@ public:
         m_dirty = false;
     }
 
-    wxString Name( bool aIgnoreSheet = false ) const;
+    const wxString& Name( bool aIgnoreSheet = false ) const;
 
-    wxString RawName() const
+    const wxString& RawName() const
     {
         return m_name;
     }
@@ -157,6 +157,7 @@ public:
     void SetName( const wxString& aName )
     {
         m_name = aName;
+        recacheName();
     }
 
     wxString Prefix() const
@@ -181,6 +182,7 @@ public:
     void SetType( CONNECTION_TYPE aType )
     {
         m_type = aType;
+        recacheName();
     }
 
     int NetCode() const
@@ -318,6 +320,7 @@ public:
     static bool IsBusGroupLabel( const wxString& aLabel );
 
 private:
+    void recacheName();
 
     bool m_dirty;
 
@@ -331,6 +334,10 @@ private:
 
     wxString m_name;        ///< Name of the connection.
 
+    wxString m_cached_name; ///< Full name, including prefix and suffix
+
+    wxString m_cached_name_with_path; ///< Full name including sheet path (if not global)
+
     /**
      * For bus members, we want to keep track of the "local" name of a member, that is,
      * the name it takes on from its parent bus name.  This is because we always want to use